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8112019 Isolated Footing Mathcad Calculation
httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 133
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
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
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
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
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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
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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=
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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=
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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
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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
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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
=
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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
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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
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
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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
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
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
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
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
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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
8112019 Isolated Footing Mathcad Calculation
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8112019 Isolated Footing Mathcad Calculation
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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
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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
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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
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
8112019 Isolated Footing Mathcad Calculation
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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
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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
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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
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
httpslidepdfcomreaderfullisolated-footing-mathcad-calculation 2633
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
8112019 Isolated Footing Mathcad Calculation
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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
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Isolated Footing Verification
SFA
Calculatio
Sheet
8112019 Isolated Footing Mathcad Calculation
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Isolated Footing Verification
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
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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
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
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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
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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
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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
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
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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
8112019 Isolated Footing Mathcad Calculation
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Isolated Footing Verification
SFA
Calculatio
Sheet
8112019 Isolated Footing Mathcad Calculation
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Isolated Footing Verification
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
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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
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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
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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
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
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
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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
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
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
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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
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
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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
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
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
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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
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
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
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
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
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
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
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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
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
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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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