33
Isolated Footing Verification Unit System Force_Un it kN =  Le ngth_Uni t m = Moment _Uni t kN m × = Design Parameter Input ρ conc  24 kN m 3 = ρ soil  18 kN m 3 = Soil _Ht 1.05m = CC 75mm = X_ ba r_di a 20mm = Z_ bar_di a 16mm = Ba r_P os "X Bott" =  0.5 = Load Table - Service Loads 1101 611.19 -133.168 15.418 81.32 326.664  1 1 11 02 60 1.3 47 -135. 61 6 -10.9 47 -81.702 33 4. 48 8  1 1 1103 605.863 -132.615 2.246 -0.191 317.457  1 1 1104 606.675 -136.168 2.225 -0.191 343.696  1 1 1105 611.193 -133.169 15.418 81.32 326.666  1 1 11 06 60 1.3 46 -135. 61 5 -10.9 47 -81. 702 33 4. 48 7  1 1 1107 605.866 -132.617 2.246 -0.191 317.459  1 1 1108 606.674 -136.168 2.225 -0.192 343.695  1 1 1109 100 5.692 -251.361 31.253 209. 055 558.636  1 1 11 10 104 3.1 74 -273. 49 2 27. 47 3 182. 425 67 3. 37 5  1 1 11 11 97 8.6 77 -256. 77 -23.5 86 -188 .5 72 572. 86 9  1 1 1112 1016.08 -2 78.85 -2 7.298 -2 15.215 687.58  1 1 1113 100 5.692 -251.361 31.253 209. 055 558.636  1 1 1114 104 3.174 -273. 49 2 27. 47 3 182. 425 673.375  1 1 11 15 97 8.6 77 -256. 77 -23.5 86 -188 .5 72 572. 86 9  1 1 1116 1016.08 -2 78.85 -2 7.298 -2 15.215 687.58  1 1 1117 100 5.694 -251.362 31.253 209. 055 558.637  1 1 1118 104 3.174 -273. 49 2 27. 47 3 182. 425 673.375  1 1 11 19 97 8.6 77 -256. 77 -23.5 86 -188 .5 72 572. 86 9  1 1

Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Unit System

Force_Unit kN= Length_Unit m=

Moment_Unit kN mtimes=

Design Parameter Input

ρconc 24kN

m3

=

ρsoil 18kN

m3

=

Soil_Ht 105m=

CC 75mm=

X_bar_dia 20mm=

Z_bar_dia 16mm=

Bar_Pos X Bott=

05=

Load Table - Service Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983107

1101 61119 -133168 15418 8132 326664 1 1

1102 601347 -135616 -10947 -81702 334488 1 1

1103 605863 -132615 2246 -0191 317457 1 1

1104 606675 -136168 2225 -0191 343696 1 1

1105 611193 -133169 15418 8132 326666 1 1

1106 601346 -135615 -10947 -81702 334487 1 1

1107 605866 -132617 2246 -0191 317459 1 1

1108 606674 -136168 2225 -0192 343695 1 1

1109 1005692 -251361 31253 209055 558636 1 1

1110 1043174 -273492 27473 182425 673375 1 1

1111 978677 -25677 -23586 -188572 572869 1 1

1112 101608 -27885 -27298 -215215 68758 1 1

1113 1005692 -251361 31253 209055 558636 1 1

1114 1043174 -273492 27473 182425 673375 1 1

1115 978677 -25677 -23586 -188572 572869 1 1

1116 101608 -27885 -27298 -215215 68758 1 1

1117 1005694 -251362 31253 209055 558637 1 1

1118 1043174 -273492 27473 182425 673375 1 1

1119 978677 -25677 -23586 -188572 572869 1 1

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

- - -

1121 1005694 -251362 31253 209055 558637 1 1

1122 1043174 -273492 27473 182425 673375 1 1

1123 978677 -25677 -23586 -188572 572869 1 1

1124 1016077 -278849 -27298 -215215 687579 1 1

1125 1005694 -251362 31253 209055 558637 1 1

1126 1043174 -273492 27473 182425 673375 1 1

1127 978677 -25677 -23586 -188572 572869 1 1

1128 1016077 -278849 -27298 -215215 687579 1 1

1129 1005694 -251362 31253 209055 558637 1 1

1130 1043174 -273492 27473 182425 673375 1 1

1131 978677 -25677 -23586 -188572 572869 1 1

1132 1016077 -278849 -27298 -215215 687579 1 1

1133 1016248 -25373 43769 279895 573285 1 1

1134 1041257 -268434 41418 263425 649549 1 1

1135 98059 -261833 -37526 -269561 596695 1 1

1136 1005522 -276488 -39822 -286049 672918 1 1

1137 1008238 -252896 24029 156981 559608 1 1

1138 1033231 -26759 21689 140507 635864 1 1

1139 9886 -262674 -17786 -146675 610377 1 1

1140 1013548 -277339 -20093 -163158 686607 1 1

1141 1018717 -253113 50352 320846 571288 1 1

1142 1043732 -267821 47997 304377 647554 1 1

1143 978117 -262446 -4411 -31051 598689 1 1

1144 1003044 -277098 -46401 -326999 674909 1 1

1145 1008038 -252001 24031 156961 553052 1 1

1146 1033031 -266696 21692 140486 629309 1 1

1147 988797 -263567 -17789 -146663 616932 1 1

1148 1013745 -278232 -20096 -163146 693161 1 11151 813972 -185464 1335 62941 450073 1 1

1152 80658 -187285 -6366 -59259 455935 1 1

1153 809964 -185042 3495 1805 443195 1 1

1154 810587 -187706 3489 1876 462813 1 1

1170 100437 -246735 4225 288436 537143 1 1

1171 1054356 -276365 37054 251837 689643 1 1

1172 967518 -253898 -33198 -257994 556601 1 1

1173 1017365 -283436 -38264 -294604 709067 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 1193 are included

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationFooting Geometry

L 44m=

B 44m=

D 05m=

Pedestal Column

ColW 07m=

ColL 07m=

ColH 135m=

OffsetsOzd 0m=

Oxd 0m=

Effective Depth

deff D CCminus 05 X_bar_diatimesminus( ) Bar_Pos X Bott=if

D CCminus 05 Z_bar_diatimesminus( ) otherwise

=

Self Weights

Soil_Wt L Btimes Soil_Httimes ColL ColWtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt SWF Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi

MXi

LCi

timeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi

MZi

LCi

timeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCi

timeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 433

Isolated Footing VerificationForces For Soil Bearing Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

1101 983094111983097 10983097983096433 9830939830953024983096

1102 9830940134983095 9830851019830979830934 9830939830969830933983095983095983094

1103 98309409830939830969830943 398309798309441 98309398309429830959830974983096

1104 9830940983094983094983095983093 398309729830932983093 9830939830979830939830940983094983096

1105 9830941119830973 10983097983096433 983093983095302983096983095

1106 9830940134983094 9830851019830979830934 98309398309698309339830954983096

1107 9830940983093983096983094983094 398309798309441 983093983094298309600983093

1108 98309409830949830949830954 3983097242983093 9830939830979830939830940983093983096

1109 1009830939830949830972 298309498309498309698309531 10239830949830934

1110 104319830954 233298309301 1198309598309733983093

1111 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1112 1019830940983096 98308529830949830939830951983094 120349830933

1113 1009830939830949830972 298309498309498309698309531 102398309498309341114 104319830954 233298309301 1198309598309733983093

1115 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1116 1019830940983096 98308529830949830939830951983094 120349830933

1117 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1118 104319830954 233298309301 1198309598309733983093

1119 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1120 1019830940983095983095 98308529830949830939830951983094 12034983093

1121 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1122 104319830954 233298309301 1198309598309733983093

1123 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1124 1019830940983095983095 98308529830949830939830951983094 12034983093

1125 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1126 104319830954 233298309301 1198309598309733983093

1127 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1128 1019830940983095983095 98308529830949830939830951983094 12034983093

1129 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1130 104319830954 233298309301 1198309598309733983093

1131 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1132 1019830940983095983095 98308529830949830939830951983094 12034983093

1133 10198309424983096 39830940983096983094983095983095 1042983094983096983094

1134 10412983093983095 340049830963 11498309419830932

1135 9830979830960983093983097 983085339830969830979830964 1098309610983096983094

1136 10098309398309322 98308539830939830979830952 119830964421

1137 10098309623983096 201434983095 1029830954983094983094

1138 1033231 1983096098309431983095 11309830970983094

1139 983097983096983096983094 9830851983095983097983093983095983097 10983097983094324

1140 10139830934983096 98308520033 119830979830979830949830964

1141 1019830969830951983095 4139830979830979830952 1039830979830934983095

1142 104398309532 3983097319830951983093 1143023

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 533

Isolated Footing Verification

1143 983085

1144 1003044 98308541298309641 119830969830959830934

1145 10098309603983096 201419830964 10198309729830934

1146 1033031 1983096098309419830942 1122983094983097983095

1147 983097983096983096983095983097983095 98308519830959830979830939830953 110498309331

1148 10139830954983093 983085200324 120983095983096983097

1151 983096139830979830952 9830969830959830943983096983093 9830959830973198309614

1152 9830960983094983093983096 9830859830951039830941 983096024123

1153 98309609830979830979830944 98309629830950983095983093 98309598309698309398309322983095

1154 98309610983093983096983095 983096330983094983093 9830961009830949830971

1170 10043983095 3983094983094983093983097983096983093 983097983097398309402983096

1171 1098309343983093983094 3203983096983094983097 12009830971983096

1172 9830979830949830959830931983096 9830853198309741 102983094312

1173 1019830953983094983093 983085398309498309339830972 1233424

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 2: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 233

Isolated Footing Verification

- - -

1121 1005694 -251362 31253 209055 558637 1 1

1122 1043174 -273492 27473 182425 673375 1 1

1123 978677 -25677 -23586 -188572 572869 1 1

1124 1016077 -278849 -27298 -215215 687579 1 1

1125 1005694 -251362 31253 209055 558637 1 1

1126 1043174 -273492 27473 182425 673375 1 1

1127 978677 -25677 -23586 -188572 572869 1 1

1128 1016077 -278849 -27298 -215215 687579 1 1

1129 1005694 -251362 31253 209055 558637 1 1

1130 1043174 -273492 27473 182425 673375 1 1

1131 978677 -25677 -23586 -188572 572869 1 1

1132 1016077 -278849 -27298 -215215 687579 1 1

1133 1016248 -25373 43769 279895 573285 1 1

1134 1041257 -268434 41418 263425 649549 1 1

1135 98059 -261833 -37526 -269561 596695 1 1

1136 1005522 -276488 -39822 -286049 672918 1 1

1137 1008238 -252896 24029 156981 559608 1 1

1138 1033231 -26759 21689 140507 635864 1 1

1139 9886 -262674 -17786 -146675 610377 1 1

1140 1013548 -277339 -20093 -163158 686607 1 1

1141 1018717 -253113 50352 320846 571288 1 1

1142 1043732 -267821 47997 304377 647554 1 1

1143 978117 -262446 -4411 -31051 598689 1 1

1144 1003044 -277098 -46401 -326999 674909 1 1

1145 1008038 -252001 24031 156961 553052 1 1

1146 1033031 -266696 21692 140486 629309 1 1

1147 988797 -263567 -17789 -146663 616932 1 1

1148 1013745 -278232 -20096 -163146 693161 1 11151 813972 -185464 1335 62941 450073 1 1

1152 80658 -187285 -6366 -59259 455935 1 1

1153 809964 -185042 3495 1805 443195 1 1

1154 810587 -187706 3489 1876 462813 1 1

1170 100437 -246735 4225 288436 537143 1 1

1171 1054356 -276365 37054 251837 689643 1 1

1172 967518 -253898 -33198 -257994 556601 1 1

1173 1017365 -283436 -38264 -294604 709067 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 1193 are included

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 333

Isolated Footing VerificationFooting Geometry

L 44m=

B 44m=

D 05m=

Pedestal Column

ColW 07m=

ColL 07m=

ColH 135m=

OffsetsOzd 0m=

Oxd 0m=

Effective Depth

deff D CCminus 05 X_bar_diatimesminus( ) Bar_Pos X Bott=if

D CCminus 05 Z_bar_diatimesminus( ) otherwise

=

Self Weights

Soil_Wt L Btimes Soil_Httimes ColL ColWtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt SWF Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi

MXi

LCi

timeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi

MZi

LCi

timeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCi

timeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 433

Isolated Footing VerificationForces For Soil Bearing Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

1101 983094111983097 10983097983096433 9830939830953024983096

1102 9830940134983095 9830851019830979830934 9830939830969830933983095983095983094

1103 98309409830939830969830943 398309798309441 98309398309429830959830974983096

1104 9830940983094983094983095983093 398309729830932983093 9830939830979830939830940983094983096

1105 9830941119830973 10983097983096433 983093983095302983096983095

1106 9830940134983094 9830851019830979830934 98309398309698309339830954983096

1107 9830940983093983096983094983094 398309798309441 983093983094298309600983093

1108 98309409830949830949830954 3983097242983093 9830939830979830939830940983093983096

1109 1009830939830949830972 298309498309498309698309531 10239830949830934

1110 104319830954 233298309301 1198309598309733983093

1111 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1112 1019830940983096 98308529830949830939830951983094 120349830933

1113 1009830939830949830972 298309498309498309698309531 102398309498309341114 104319830954 233298309301 1198309598309733983093

1115 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1116 1019830940983096 98308529830949830939830951983094 120349830933

1117 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1118 104319830954 233298309301 1198309598309733983093

1119 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1120 1019830940983095983095 98308529830949830939830951983094 12034983093

1121 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1122 104319830954 233298309301 1198309598309733983093

1123 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1124 1019830940983095983095 98308529830949830939830951983094 12034983093

1125 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1126 104319830954 233298309301 1198309598309733983093

1127 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1128 1019830940983095983095 98308529830949830939830951983094 12034983093

1129 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1130 104319830954 233298309301 1198309598309733983093

1131 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1132 1019830940983095983095 98308529830949830939830951983094 12034983093

1133 10198309424983096 39830940983096983094983095983095 1042983094983096983094

1134 10412983093983095 340049830963 11498309419830932

1135 9830979830960983093983097 983085339830969830979830964 1098309610983096983094

1136 10098309398309322 98308539830939830979830952 119830964421

1137 10098309623983096 201434983095 1029830954983094983094

1138 1033231 1983096098309431983095 11309830970983094

1139 983097983096983096983094 9830851983095983097983093983095983097 10983097983094324

1140 10139830934983096 98308520033 119830979830979830949830964

1141 1019830969830951983095 4139830979830979830952 1039830979830934983095

1142 104398309532 3983097319830951983093 1143023

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 533

Isolated Footing Verification

1143 983085

1144 1003044 98308541298309641 119830969830959830934

1145 10098309603983096 201419830964 10198309729830934

1146 1033031 1983096098309419830942 1122983094983097983095

1147 983097983096983096983095983097983095 98308519830959830979830939830953 110498309331

1148 10139830954983093 983085200324 120983095983096983097

1151 983096139830979830952 9830969830959830943983096983093 9830959830973198309614

1152 9830960983094983093983096 9830859830951039830941 983096024123

1153 98309609830979830979830944 98309629830950983095983093 98309598309698309398309322983095

1154 98309610983093983096983095 983096330983094983093 9830961009830949830971

1170 10043983095 3983094983094983093983097983096983093 983097983097398309402983096

1171 1098309343983093983094 3203983096983094983097 12009830971983096

1172 9830979830949830959830931983096 9830853198309741 102983094312

1173 1019830953983094983093 983085398309498309339830972 1233424

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 3: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationFooting Geometry

L 44m=

B 44m=

D 05m=

Pedestal Column

ColW 07m=

ColL 07m=

ColH 135m=

OffsetsOzd 0m=

Oxd 0m=

Effective Depth

deff D CCminus 05 X_bar_diatimesminus( ) Bar_Pos X Bott=if

D CCminus 05 Z_bar_diatimesminus( ) otherwise

=

Self Weights

Soil_Wt L Btimes Soil_Httimes ColL ColWtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt SWF Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi

MXi

LCi

timeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi

MZi

LCi

timeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCi

timeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationForces For Soil Bearing Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

1101 983094111983097 10983097983096433 9830939830953024983096

1102 9830940134983095 9830851019830979830934 9830939830969830933983095983095983094

1103 98309409830939830969830943 398309798309441 98309398309429830959830974983096

1104 9830940983094983094983095983093 398309729830932983093 9830939830979830939830940983094983096

1105 9830941119830973 10983097983096433 983093983095302983096983095

1106 9830940134983094 9830851019830979830934 98309398309698309339830954983096

1107 9830940983093983096983094983094 398309798309441 983093983094298309600983093

1108 98309409830949830949830954 3983097242983093 9830939830979830939830940983093983096

1109 1009830939830949830972 298309498309498309698309531 10239830949830934

1110 104319830954 233298309301 1198309598309733983093

1111 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1112 1019830940983096 98308529830949830939830951983094 120349830933

1113 1009830939830949830972 298309498309498309698309531 102398309498309341114 104319830954 233298309301 1198309598309733983093

1115 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1116 1019830940983096 98308529830949830939830951983094 120349830933

1117 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1118 104319830954 233298309301 1198309598309733983093

1119 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1120 1019830940983095983095 98308529830949830939830951983094 12034983093

1121 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1122 104319830954 233298309301 1198309598309733983093

1123 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1124 1019830940983095983095 98308529830949830939830951983094 12034983093

1125 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1126 104319830954 233298309301 1198309598309733983093

1127 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1128 1019830940983095983095 98308529830949830939830951983094 12034983093

1129 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1130 104319830954 233298309301 1198309598309733983093

1131 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1132 1019830940983095983095 98308529830949830939830951983094 12034983093

1133 10198309424983096 39830940983096983094983095983095 1042983094983096983094

1134 10412983093983095 340049830963 11498309419830932

1135 9830979830960983093983097 983085339830969830979830964 1098309610983096983094

1136 10098309398309322 98308539830939830979830952 119830964421

1137 10098309623983096 201434983095 1029830954983094983094

1138 1033231 1983096098309431983095 11309830970983094

1139 983097983096983096983094 9830851983095983097983093983095983097 10983097983094324

1140 10139830934983096 98308520033 119830979830979830949830964

1141 1019830969830951983095 4139830979830979830952 1039830979830934983095

1142 104398309532 3983097319830951983093 1143023

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 533

Isolated Footing Verification

1143 983085

1144 1003044 98308541298309641 119830969830959830934

1145 10098309603983096 201419830964 10198309729830934

1146 1033031 1983096098309419830942 1122983094983097983095

1147 983097983096983096983095983097983095 98308519830959830979830939830953 110498309331

1148 10139830954983093 983085200324 120983095983096983097

1151 983096139830979830952 9830969830959830943983096983093 9830959830973198309614

1152 9830960983094983093983096 9830859830951039830941 983096024123

1153 98309609830979830979830944 98309629830950983095983093 98309598309698309398309322983095

1154 98309610983093983096983095 983096330983094983093 9830961009830949830971

1170 10043983095 3983094983094983093983097983096983093 983097983097398309402983096

1171 1098309343983093983094 3203983096983094983097 12009830971983096

1172 9830979830949830959830931983096 9830853198309741 102983094312

1173 1019830953983094983093 983085398309498309339830972 1233424

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 4: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationForces For Soil Bearing Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

1101 983094111983097 10983097983096433 9830939830953024983096

1102 9830940134983095 9830851019830979830934 9830939830969830933983095983095983094

1103 98309409830939830969830943 398309798309441 98309398309429830959830974983096

1104 9830940983094983094983095983093 398309729830932983093 9830939830979830939830940983094983096

1105 9830941119830973 10983097983096433 983093983095302983096983095

1106 9830940134983094 9830851019830979830934 98309398309698309339830954983096

1107 9830940983093983096983094983094 398309798309441 983093983094298309600983093

1108 98309409830949830949830954 3983097242983093 9830939830979830939830940983093983096

1109 1009830939830949830972 298309498309498309698309531 10239830949830934

1110 104319830954 233298309301 1198309598309733983093

1111 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1112 1019830940983096 98308529830949830939830951983094 120349830933

1113 1009830939830949830972 298309498309498309698309531 102398309498309341114 104319830954 233298309301 1198309598309733983093

1115 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1116 1019830940983096 98308529830949830939830951983094 120349830933

1117 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1118 104319830954 233298309301 1198309598309733983093

1119 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1120 1019830940983095983095 98308529830949830939830951983094 12034983093

1121 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1122 104319830954 233298309301 1198309598309733983093

1123 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1124 1019830940983095983095 98308529830949830939830951983094 12034983093

1125 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1126 104319830954 233298309301 1198309598309733983093

1127 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1128 1019830940983095983095 98308529830949830939830951983094 12034983093

1129 1009830939830949830974 298309498309498309698309531 1023983094983093983095

1130 104319830954 233298309301 1198309598309733983093

1131 983097983095983096983094983095983095 98308523220983094 1049830959830969830974

1132 1019830940983095983095 98308529830949830939830951983094 12034983093

1133 10198309424983096 39830940983096983094983095983095 1042983094983096983094

1134 10412983093983095 340049830963 11498309419830932

1135 9830979830960983093983097 983085339830969830979830964 1098309610983096983094

1136 10098309398309322 98308539830939830979830952 119830964421

1137 10098309623983096 201434983095 1029830954983094983094

1138 1033231 1983096098309431983095 11309830970983094

1139 983097983096983096983094 9830851983095983097983093983095983097 10983097983094324

1140 10139830934983096 98308520033 119830979830979830949830964

1141 1019830969830951983095 4139830979830979830952 1039830979830934983095

1142 104398309532 3983097319830951983093 1143023

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

1143 983085

1144 1003044 98308541298309641 119830969830959830934

1145 10098309603983096 201419830964 10198309729830934

1146 1033031 1983096098309419830942 1122983094983097983095

1147 983097983096983096983095983097983095 98308519830959830979830939830953 110498309331

1148 10139830954983093 983085200324 120983095983096983097

1151 983096139830979830952 9830969830959830943983096983093 9830959830973198309614

1152 9830960983094983093983096 9830859830951039830941 983096024123

1153 98309609830979830979830944 98309629830950983095983093 98309598309698309398309322983095

1154 98309610983093983096983095 983096330983094983093 9830961009830949830971

1170 10043983095 3983094983094983093983097983096983093 983097983097398309402983096

1171 1098309343983093983094 3203983096983094983097 12009830971983096

1172 9830979830949830959830931983096 9830853198309741 102983094312

1173 1019830953983094983093 983085398309498309339830972 1233424

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 5: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 533

Isolated Footing Verification

1143 983085

1144 1003044 98308541298309641 119830969830959830934

1145 10098309603983096 201419830964 10198309729830934

1146 1033031 1983096098309419830942 1122983094983097983095

1147 983097983096983096983095983097983095 98308519830959830979830939830953 110498309331

1148 10139830954983093 983085200324 120983095983096983097

1151 983096139830979830952 9830969830959830943983096983093 9830959830973198309614

1152 9830960983094983093983096 9830859830951039830941 983096024123

1153 98309609830979830979830944 98309629830950983095983093 98309598309698309398309322983095

1154 98309610983093983096983095 983096330983094983093 9830961009830949830971

1170 10043983095 3983094983094983093983097983096983093 983097983097398309402983096

1171 1098309343983093983094 3203983096983094983097 12009830971983096

1172 9830979830949830959830931983096 9830853198309741 102983094312

1173 1019830953983094983093 983085398309498309339830972 1233424

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 6: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 7: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 733

Isolated Footing Verification

1140 19830962209830934 132041 983085198309301983094983095 198309339830979830964983094

1141 12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

1142 13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1143 19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

1144 1983097983093983095983095983093983097 298309649830969830932983094 983085298309798309498309523 1398309598309419830964

1145 14098309714983094 983085298309498309498309721 298309398309504983097 19830949830972983096983096983095

1146 19830930983097983093983094983097 983085983095198309798309711 1983096244983093983095 1983095983094400983094

1147 198309529830959830942983095 19830951983094983093983095983095 9830859830961309830971 1498309549830949830941

1148 1983096298309598309732 1298309439830939830962 983085198309398309398309641 19830934983093983095331151 12298309798309611 112444983095 23983093983097024 1398309332983094983097

1152 13442983093983097 2139830969830969830964 1139830961983096983095 12441983096983097

1153 129830959830962983093 1983095198309498309522 198309633233 1298309698309798309701

1154 129830979830939830961983097 1983093498309498309424 19830949830943983097983095983097 130983095983093983093983093

1170 1298309529830963983096 98308512983094983096983094983093 3983096983097983093983094983095983096 198309598309698309729830951

1171 14983095983095231 98308521498309321 23983094983096132 19830972983096983093983094983093

1172 1983095983094003983096 31429830939830941 9830851398309398309502 13100983096

1173 1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 8: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 833

Isolated Footing VerificationSoil Bearing Out-of-contact calculations

Soil Bearing Comparison

SFA

Calculat

Sheet

1983097983094409830934 2298309498309310983097 9830852983096983096223 14498309732

19830969830939830959830930983093 33019830939830942 98308522222 13098309312983097

12983095983097224 9830851983096983093201 3983097983096002983096 1983096983094242983097

13983095983097983094983097983096 9830852304983097983094 323398309511 198309733983093983094983093

1173 1983097409830952983094 22312983096 98308529830969830969830971983095 1429830969830949830961

1143 19830963498309511 329830939830963 98308522344983094 12983096983093434

1141 1298309400983095983094 98308519830969830949830933983094 3983097313 1983096398309798309542

1142 13983093983097983097983093 9830852313983097983094 319830970983097983096 198309710444

120 19830932 983085024 144

124 133 9830850983093983093 19830933

19830932 98308509830952 124 123

14983093 98308503983097 134 121

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 9: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 933

Isolated Footing Verification

Adjusted Bearing Pressure

198309798309698309449830934 21983095019830964 0 14498309511983094

198309698309498309619830971 329830949830933983094983096 0 13039830939830961

1298309598309623983095 0 39830979830941983096983095983093 19830969830949830964983094983095

1398309598309612983097 0 3198309749830951983094 19830974498309622

1173 198309798309429830953983093 2129830963983095 0 142983093983096983097983097

1143 198309649830932983094983095 321983093983093983096 0 1298309634983095

1141 12983094119830951 0 398309732983097 19830964983095983095983095983094

1142 1398309421983095 0 319830969830971983096 198309724983097983096983095

121 1983097983094 9831089831139831260 14983097

124 1983093983093 9831089831139831260 1983093983095

13983093 9831089831139831260 09830954 112

11983095 9831089831139831260 01983095 103

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 10: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1033

Isolated Footing VerificationSliding Check

Resisting_Sliding P Self_Wt+( )times=

Resultant_Shear VX( )2

VZ( )2

+=

Resisting_Sliding

VX

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

-456577

-444706

-456472

-44486

-456575

-444709

-456467

-44486

-320362

-301291

-308353

-290644

-320362

-301291

-308353

=Resisting_Sliding

VZ

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

39435

-55092

269524

27225

39435

-55092

269525

27225

25766

29993

-33569

-29689

25766

29993

-33569

=Resisting_Sliding

Resultant_Shear

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

4535

4433

4564

4448

4535

4433

4564

4448

3179

2998

3071

2893

3179

2998

3071

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 11: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1133

Isolated Footing Verification

SFA

Calculatio

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 12: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1333

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 13: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 14: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1433

Isolated Footing Verification

SFA

Calculation

Sheet

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 15: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1533

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1633

Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 16: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Load Table - Ultimate Loads

983120 983126983128 983126983130 983117983128 983117983130 983123983127983110 983116983110

2101 61939 -131125 37389 217174 320143 12 1

2102 593143 -137653 -32919 -217552 341006 1 12103 605186 -129653 2263 -019 295593 1 1

2104 607352 -139127 2209 -0192 365562 1 1

2105 619393 -131127 37389 217174 320145 1 1

2106 593142 -137653 -32919 -217552 341006 1 1

2107 605189 -129654 2263 -019 295595 1 1

2108 607351 -139127 2209 -0192 365561 1 1

2109 120689 -301588 37479 251584 670629 1 1

2110 1251883 -328078 32933 219538 808425 1 1

2111 117441 -308104 -28304 -226835 687934 1 1

2112 1219286 -334519 -32752 -258903 825689 1 12113 120689 -301588 37479 251584 670629 1 1

2114 1251883 -328078 32933 219538 808425 1 1

2115 117441 -308104 -28304 -226835 687934 1 1

2116 1219286 -334519 -32752 -258903 825689 1 1

2117 140811 -351798 43696 29436 78271 1 1

2118 1460617 -382624 38381 256865 943596 1 1

2119 1370139 -359429 -33022 -265289 803165 1 1

2120 1422484 -390151 -38203 -302817 963994 1 1

2121 140811 -351798 43696 29436 78271 1 1

2122 1460617 -382624 38381 256865 943596 1 1

2123 1370139 -359429 -33022 -265289 803165 1 1

2124 1422484 -390151 -38203 -302817 963994 1 1

2125 140811 -351798 43696 29436 78271 1 1

2126 1460617 -382624 38381 256865 943596 1 1

2127 1370139 -359429 -33022 -265289 803165 1 1

2128 1422484 -390151 -38203 -302817 963994 1 1

2129 140811 -351798 43696 29436 78271 1 1

2130 1460617 -382624 38381 256865 943596 1 1

2131 1370139 -359429 -33022 -265289 803165 1 1

2132 1422484 -390151 -38203 -302817 963994 1 1

2133 1227162 -302514 72673 46265 682006 1 1

2134 1257206 -320131 69828 442843 773607 1 1

2135 1169093 -31606 -65209 -45011 722754 1 1

2136 1198983 -333576 -67943 -469957 814272 1 1

2137 1209338 -300666 28816 188818 651714 1 1

2138 1239339 -318255 26004 168998 743295 1 1

2139 1186919 -317927 -21353 -176357 753062 1 1

2140 1216853 -33547 -24119 -19619 8446 1 1

2141 1218908 -304576 50737 325818 688719 1 1

2142 124893 -322177 47909 306005 780308 1 1

2143 1177353 -31401 -43272 -313288 71605 1 1

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 17: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1733

Isolated Footing Verification

2144 1207266 -331542 -46022 -333128 80758 1 1

2145 1209996 -303652 28809 188904 673572 1 1

2146 1239996 -32124 25997 169083 765151 1 1

2147 1186265 -314943 -21344 -176411 731203 1 1

2148 12162 -332488 -2411 -196244 822743 1 1

2151 984678 -220567 37019 20614 534029 1 1

2152 959993 -226639 -28656 -201724 553651 1 1

2153 9713 -219163 4187 2062 511151 1 1

2154 973375 -228045 4176 2351 576534 1 1

2611 1206624 -299726 4261 288654 66202 1 1

2612 1256618 -329276 37412 251947 814637 1 1

2613 1169684 -306905 -328 -259254 681717 1 1

2614 1219536 -336363 -37866 -295975 834301 1 1

More Load cases are present but not displayed due to limitation of Excel element in MathCad

For Calculation load cases upto 2634 are included

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

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8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 18: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1833

Isolated Footing Verification

Unit Conversion from Excel Table

P P Force_Unittimes= VX VX Force_Unittimes= VZ VZ Force_Unittimes=

MX MX Moment_Unittimes= MZ MZ Moment_Unittimes=

Self WeightsSoil_Wt L Btimes Soil_Httimes ColL ColLtimes Soil_Httimesminus( ) ρsoiltimes=

Ped_Wt ColW ColLtimes ColHtimes ρconctimes=

Foot_Wt L Btimes Dtimes ρconctimes=

Soil weight factor applied here

Self_Wt LC Foot_Wt Ped_Wt+ Soil_Wt+( )times=

Resolved Forces with Load Factors

MX VZ ColH D+( )times MX+ Ozd P Ped_Wt+( )times+[ ]=

MZ VXminus ColH D+( )times MZ+ Oxd P Ped_Wt+( )times+[ ]=

Load Factor Application

P

Pi

Pi

LCi

timeslarr

i 0 rows P( ) 1minusisinfor

P

= VZ

Vi

VZi

LCi

timeslarr

i 0 rows VZ( ) 1minusisinfor

V

= VX

Vi

VXi

LCi

timeslarr

i 0 rows VX( ) 1minusisinfor

V

=

MX

Mi MXi LCitimeslarr

i 0 rows MX( ) 1minusisinfor

M

= MZ

Mi MZi LCitimeslarr

i 0 rows MZ( ) 1minusisinfor

M

= Self_Wt

Self_Wt Self_Wt LCitimeslarr

i 0 rows P( ) 1minusisinfor

Self_Wt

=

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

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Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 19: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 1933

Isolated Footing Verification

Forces For Ultimate Check

MX and MZ already consist effect of Shear forces VX and VZ

983120+983123983141983148983142 983127983156 983117983128 983117983130

2101 122422983097 2983096983094343983095 9830939830942983095243

2102 119830979830959830979830962 983085298309598309649830932 98309398309798309398309498309441

2103 121002983093 3983097983097983094983093983093 9830933983093498309311

2104 121219830971 39830969830974983094983093 983094229830974983095

2105 1224232 2983096983094343983095 98309398309429830953

2106 119830979830959830979830961 983085298309598309649830932 98309398309798309398309498309441

2107 121002983096 3983097983097983094983093983093 983093398309349830934983097

2108 12121983097 39830969830974983094983093 983094229830974983094

2109 1983096119830952983097 320983097202 122983096983093983094983095

2110 198309698309398309498309522 29830960498309441 1419830933983094983097

2111 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2112 19830962412983093 9830853198309749830974 14449830934983097

2113 1983096119830952983097 320983097202 122983096983093983094983095

2114 198309698309398309498309522 29830960498309441 14198309339830949830972115 198309598309598309724983097 98308529830959830971983097983095 129830939830959830972983094

2116 19830962412983093 9830853198309749830974 14449830934983097

2117 20129830974983097 39830959830931983097983095983094 14339830933983094

2118 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2119 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2120 202983095323 9830853983095349830973 19830949830969830939830959830953

2121 20129830974983097 39830959830931983097983095983094 14339830933983094

2122 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2123 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2124 202983095323 9830853983095349830973 198309498309698309398309598309532125 20129830974983097 39830959830931983097983095983094 14339830933983094

2126 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2127 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2128 202983095323 9830853983095349830973 19830949830969830939830959830953

2129 20129830974983097 39830959830931983097983095983094 14339830933983094

2130 209830949830934983093983094 32983095983096983094983097983097 198309498309314983093

2131 19830979830954983097983095983096 983085329830943983096 1498309498309610983097

2132 202983095323 9830853983095349830973 19830949830969830939830959830953

2133 198309632001 98309398309798309509830979830931 1241983094983093983095

2134 1983096983094204983093 9830939830952024983096 1398309498309398309649830972135 1983095983095398309732 98308598309398309509830954983095 1309830954983094983093

2136 19830960398309622 9830859830939830979830939830949830932 14313983096983096

2137 1983096141983095983095 24212983095983094 1209830959830974983094

2138 1983096441983095983096 21983095109830934 13320983094983095

2139 19830959830971983095983093983096 98308521983093983096983094 134122983095

2140 1983096219830949830972 9830852409830961 1498309498309322

2141 1983096239830954983095 419830979830949830961983093 1298309321983096983093

2142 19830969830933983095983094983097 398309749830943983094983095 1398309598309433983093

2143 1983095983096219830972 98308539830973341 12983097983094983097983094983097

2144 19830961210983093 983085419830962983094983097 142098309733

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 20: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2033

Isolated Footing Verification

2146 1983096449830963983093 219830951983095983095983093 1398309398309744983093

2147 19830959830971104 98308521983093983096983097983095 13139830964983096

2148 19830962103983097 9830852409830964983096 1439830959830964983094

2151 19830939830969830979830931983095 2983095498309429830932 983097420983095983096

2152 1983093983094498309632 983085298309349830953983096 9830979830952983097332

2153 198309398309598309413983097 9830979830960983095983097983093 983097198309498309402983094

2154 1983093983095983096214 100983095983094983094 983097983097983096419830953

2611 19830961149830943 398309498309549830962983093 12198309498309313

2612 198309698309414983093983095 32119830939830972 14239830959830979830962613 1983095983095498309323 9830853198309798309734 12498309749830971

2614 1983096243983095983093 983085398309498309402983095 149830939830949830939830953

2615 19830961149830943 398309498309549830962983093 12198309498309313

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 21: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2133

Isolated Footing VerificationUltimate Soil Bearing Pressures

Soil_Bearing_Values SoilBearing P Self_Wt+ L B MX MZ( )=

9831211 9831212 9831213 9831214

2101 9830962983095020983093 3430224 43983095983094983095983096983097 123039830979830952102 123449830963 398309798309339830941983095 031019830974 98309642223

2103 98309798309798309734983094983097 2498309304983096983097 29830930983094983095983096983097 1004983097983095983095

2104 1098309421983094983094 19830964983094111 198309700983097983095983093 109830949830959830949830932

2105 983096298309502983094 342983097983097983095983095 439830959830949830959830944 1230403

2106 123449830962 3983097983093398309412 0310143 98309642222983093

2107 983097983097983097398309312 2498309304983095983095 29830930983094983095983095983095 10049830979830961

2108 1098309421983094983093 19830964983094112 198309700983097983095983095 109830949830959830949830931

2109 198309398309549830939830961 0 298309798309329830959830964 203101983095

2110 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2111 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2112 2209830969830951983095 13983095983097432 0 1983095334983096983094

2113 198309398309549830939830961 0 298309798309329830959830964 203101983095

2114 19830959830939830959830939830954 0 19830933983095983097983095983097 21983094983094983093983093983095

2115 2009830949830949830942 22983095983096983097983097983094 0 1983094098309598309621

2116 2209830969830951983095 13983095983097432 0 1983095334983096983094

2117 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2118 198309798309798309639830973 0 121013983094 2498309698309509830964

2119 2298309798309419830974 210983097983093983093983093 0 198309623232

2120 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2121 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2122 198309798309798309639830973 0 121013983094 2498309698309509830964

2123 2298309798309419830974 210983097983093983093983093 0 198309623232

2124 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2125 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2126 198309798309798309639830973 0 121013983094 2498309698309509830964

2127 2298309798309419830974 210983097983093983093983093 0 198309623232

2128 2983093412983096983094 98309798309629830972983094983094 0 19830979830950983096983095983095

2129 1983095983096404983094 0 29830970983095983095983095983093 232339830952

2130 198309798309798309639830973 0 121013983094 2498309698309509830964

2131 2298309798309419830974 210983097983093983093983093 0 198309623232

2132 2983093412983096983094 98309798309629830972983094983094 0 198309798309509830969830959830952133 1398309798309420983095 0 498309639830979830970983096 2298309498309421

2134 19830931983093983095983094 0 398309698309698309331983097 23983094398309611

2135 229830959830979830934983097 398309619830973983095 0 142983097433

2136 2429830949830930983093 31398309798309424 0 198309312141

2137 19830941983095231 0 298309398309498309398309411 19830979830939830972983093983096

2138 198309539830959830934983095 0 19830949830939830969830972983093 20498309531

2139 2029830969830973983093 129830979830972983093983093 0 1983095198309598309503

2140 2198309421983097 98309498309598309329830959830964 0 19830960342983097

2141 19830932983094983097983093983096 0 398309321983095983096983093 21298309798309613

2142 1983094498309502983096 0 2983093983096983093983094983095983095 222398309302

Dx

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

0409

0558

04230717

0409

0558

0423

0717

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0538

0684

0553

085

0953

1024

1086

1251

0221

0336

042

0612

m= Dy

0

0

1

2

3

4

5

6

7

8

9

1011

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

0

0

0

0

0

0

0

0

1554

2745

18863123

1554

2745

1886

3123

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

2028

331

2437

3642

1952

2384

2423

2889

1099

2044

2563

3572

m=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 22: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2233

Isolated Footing Verification

2143 21298309511983097 298309598309598309739830963 0 19830939830939830931983093983096

2144 2298309449830979830942 21498309398309521 0 198309439830973983097983094

2145 198309439830949830952983094 0 23983095498309301 1983097983095983097983093983095983095

2146 19830959830939830950983093983095 0 14983094298309332 2098309498309698309333

2147 2009830954983094983095 149830979830969830952 0 19830949830979830960983096983096

2148 2139830969830972983094 983096983097198309502983093 0 1983095983096342983095

2151 129830971143 0 398309309830969830969830973 19830949830959830960983097983097

2152 1983094983095329830973 3023414 0 13140983097983094

2153 1498309329830962983097 198309419830939830979830951 1983095983093413983095 149830949830949830944983094

2154 19830931133983096 1049830969830932983096 1198309704983095983097 19830932983093983093342611 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

2612 198309539830949830970983096 0 1983095983095298309603 22098309598309312

2613 2029830969830959830964 29830939830974983093983095 0 198309398309504983097983095

2614 229830939830954983095 1983093983096983096983095983093 0 198309509830969830944983097

2615 1983093329830972983096 0 3398309398309798309503 2098309398309498309433

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

062

0712

07

0882

0266

0378

0378

0572

012

0182

0

0

048

0636

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

183

2426

2262

2891

1353

2334

2269

3296

041

0696

0

0

1577

2742

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 23: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2333

Isolated Footing VerificationUltimate Load Soil bearing

For Load Case 2120 Gross Pressure Gov_SB 19= Load_CaseGov_SB

2120=

SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

982926

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 24: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2433

Isolated Footing Verification

Ultimate Load Soil bearing

For Load Case 207 Net Pressure SoilBearingForShearMoment SoilBearingForShearMomentfunc Gov_SB( )=

254128 1744537 1514118 1125460 895041

SoilBearingForShearMoment3

98

2355255 66235

2301455 56965

2210708 41327

2156908 32056

1970877 1328102 1142212 8286643 6427747 0

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 25: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2533

Isolated Footing Verification

Soil Bearing Functions

SoilBearing P L B Mx Mz( )Currently Soil Bearing function is only supported for full contact condition soon out of contact condition will be developed toofor full contact soil bearing is calulated based on PA +- MS

SoilBearingForShearMomentfunc Gov_SB( )

This function provides soil bearing at shear and moment locations for load case Gov_SB diagram below explains how output

array is populated

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 26: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 27: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2733

Isolated Footing Verification

Shear Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Moment Q1 Q2 Q3 Q4 Fixed_Dim Floating_Dim( )

Where Q1 and Q4 are inner soil bearings Fixed_Dim is footing edge dimension whereas Floating_Dim is desired shear

location

Following diagrams explains different assignments of Q1 Q2Q3Q4

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 28: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2833

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 29: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2933

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

33364 370647

14932 371959

36905 357842

1139 384769

33363 37065

14932 371959

36905 357844

1139 384769

49789 762315

20349 834377

31587 760691

10275 83417

49789 76231520349 834377

31587 760691

10275

kNtimes= OneWayShear_Z_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

230624 567907

212192 569219

234165 555102

20865 582029

230623 56791

212192 569219

234165 555104

20865 582029

247049 959575

217609 3103210

228847 957951

207535 3103110

247049 959575217609 3103210

228847 957951

207535

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 30: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3033

Isolated Footing Verification

Please note that first load case starts from 0th row

OneWayShear_X_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

287819 116192

109997 276894

198571 196175

199247 196912

28782 116193

109996 276894

198572 196176

199246 196912

490195 321909

493467 361259

325085 467193

349123 495321

490195 321909

493467 361259325085 467193

349123

kNtimes= OneWayShear_X_Gross

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

1314

15

485079 313452

307257 474154

395831 393435

396507 394172

48508 313453

307256 474154

395832 393436

396506 394172

687455 519169

690727 558519

522345 664453

546383 692581

687455 519169

690727 558519522345 664453

546383

kNtimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 31: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3133

Isolated Footing Verification

Punching Shear

For Punching shear program uses undujested values

Please note that first load case starts from 0th row

Punching_Shear_Net

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

579615

555054

566323

56835

579618

555053

566326

568349

3112910

3117110

3109910

3114110

3112910

3117110

3109910

kNtimes= Punching_Shear_Gross

0

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

3114610

3112110

3113210

3113410

3114610

3112110

3113210

3113410

3169510

3173710

3166510

3170710

3169510

3173710

3166510

kNtimes=

Moment Calculation

Please note that first load case starts from 0th row

Moment_Z_Net

0 1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

26108 455679

3327 458044

30994 439745

-156 473983

26107 455682

3327 458043

30993 439747

-156 473983

0454 938314

-53347 3102710

-23384 936888

-77162 3102610

0454 938314

-53347 3102710

-23384 936888

-77162

kN mtimestimes=

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 32: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3233

Isolated Footing Verification

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23

Page 33: Isolated Footing Mathcad Calculation

8112019 Isolated Footing Mathcad Calculation

httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 3333

Isolated Footing Verification

Please note that first load case starts from 0th row

Moment_X_Net

0 1

0

1

2

3

4

56

7

8

9

10

11

12

13

14

15

350188 131599

124403 336967

236895 233844

237698 234725

350189 131601

124403 336967236896 233845

237698 234725

592526 385807

59573 438705

391112 564118

427336 599204

592526 385807

59573 438705

391112 564118

427336

kN mtimestimes=

Maximum Shear and Bending

max OneWayShear_Z_Net( ) 975925 kNtimes=

max OneWayShear_X_Net( ) 585068 kNtimes=

max Moment_Z_Net( ) 1198 103

times kN mtimestimes=

max Moment_X_Net( ) 713042 kN mtimestimes=

983119983150983141 983127983137983161 983123983144983141983137983154 983130 983119983150983141 983127983137983161 983123983144983141983137983154 983128 983120983157983150983139983144983145983150983143

983123983144983141983137983154 983117983162 983117983160

983117983137983156983144983139983137983140 983107983137983148983139983157983148983137983156983145983151983150983155 983117983137983160 983097983095983093983097298309332983097 9830939830969830930983094983096132983097 13983094983094983096219830959830954 1198309798309640339830972 98309513041983095

983123983124983105983105983108 983110983151983157983150983140983137983156983145983151983150 9830979830969830952983096983094 983093983097009830964 13983094439830961 119830969830952983097 983095298309798309521

983108983145983142983142983141983154983141983150983139983141 12 0983097 02 0983097 23