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DESIGN OF TELECOMMUNICATION TOWER LEGS BASED ON ANSI/TIA 222-G. The ref are given in the cells
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Design of Equal angle members of Tower
Data of MemberType of member Other member
Subjected to Normal framing Yes Ref cl :4.4.4.2 for normal framin Eccentricity
concentric at one end & normal framing ecc at other end No
Member size L50x50x5
Area 4.8 b 50 mm , k 11.5 mm C, centroid 14.1 mm
W 38.5 mm , t 5 mm
195 cm , 11.1 1.52 cm , 3.09
195 cm , 4.58 0.98 cm , 2.3
195 cm , 17.5 1.91 cm , 4.95
Effectivelength factor, K 1
Young's Mod,E 200000
400
248Max slenderness ratio in compression 250
Max slenderness ratio in Tension 300Data of Connection elements(bolts)
120 ksi 827
92 ksi 634Bolt Dia, D 1/2 In 12.7 mm ,
0.625 In 15.875 mm ,Number of Bolts, N 1 No's 1 No's enter on each leg for bolts on two legs
Number of bolts at the continuous support(if continuous) 0 not continuous specify 0
Number of continuous supports(between supports) 0 not continuous , no internal supports
Spacing of bolts, S1 2.36 in 60 mm ,Number of Bolts lines 1
Distance fromm heel to 1st col of bolts,Gage, g1 0.98 in 25 mmDistance fromm heel to 2nd col of bolts, g2 NA in NA mm
Edge distance, e 0.75 in 19.05 mmThreads 13 per in 5.12 per cm
Bolts are Staggered or Parallel ParallelNumber of shear Planes 1
Both the legs are connected with bolts NOThreads in shear plane Excluded
Are the legs mitered at last hole from the end of member No
If lateral support is not provided acc to cl :4.5.2.1 @ cross over point , select "Yes" or "No" for secondary diagonal members or select "No" for other members
cm 2,
Lx Ixx=Iyy cm 4, rxx zxx cm 3,
Ly Ivv cm 4, rvv zvv cm 3,
Lv Iuu cm 4, ruu zuu cm 3,
N/mm 2,
Ultimate Tensile strength,Fu N/mm 2,
Yield Tensile strength,Fy N/mm 2,
Ultimate Tensile strength of bolt, fu N/mm 2,
Yield Tensile strength of bolt, fy N/mm 2,
Bolt hole, Dh
0.00 mm No mitered or put 00.00 mm No mitered or put 0
connected leg ,Lm1
unconnected leg(outstanding), Lm2
Load dataFactored Axial compressive Load 12.45 kN
Factored Axial Tensile Load 12.45 kNFactored Lateral point Load @ mid span 0 kN
Factored Moment due to lateral Load abot XX 0 kN-mFactored Moment due to lateral Load abot uu 0 kN-mFactored Moment due to lateral Load abot vv 0 kN-m
0 kN
Facor of Resistance
0.9
0.9
0.9
0.75
0.9
0.75
0.75
0.8
0.75
Calculating Capacity of the member
Check for slenerness in compression 198.98 O KCheck for slenerness in Tension 198.98 O K
Compressive capacityEffective yield stress :
W/ t 7.7 O K, W/t<25
13.35
24.14
319.057109
1104.19538
248Calculation of Slenderness ratio
for bracing members KL/r<120 KL/r>=120
suppots <2 spans >2
Tub =
For compression, ɸc
For Tension, ɸt
For Bending, ɸf
For Tensile rupture , ɸtr
For Tensile yielding , ɸty
Forblock shear rupture , ɸbsr
For Tensile strength of bolt , ɸbt
For bearing strength of bolt , ɸbb
For Shear strength of bolt , ɸbs
If W/t <= 0.47*sqrt(E/Fy) F'y = Fy
If 0.47*sqrt(E/Fy) < W/t <= 0.85*sqrt(E/Fy) F'y = [1.677-0.677((W/t)/(0.47*sqrt(E/Fy))))*Fy
If 0.85*sqrt(E/Fy) < W/t <= 25 F'y = [0.0332*pi2*E/(W/t)2]
0.47*sqrt(E/Fy) =
0.85*sqrt(E/Fy) =
[1.677-0.677((W/t)/(0.47*sqrt(E/Fy))))*Fy = N/mm 2,
[0.0332*pi2*E/(W/t)2] = N/mm 2,
Therefore F'y = N/mm 2,
ƛc= KL*sqrt(F'y/E)/(r*pi)
128.29 128.29 0
128.29 128.29 0
198.98 198.98 0
For legs
128.29
128.29
198.98
final values
128.29
128.29
198.98
1.44
1.44
2.23
2.23
30.94
43.74
43.74
eccentricity of bolt line with center of leg 0b/2g 1
strength red factor 1Reduction Factor b/2g as per TIA/FIA-222-g,4.4.4.2 1
18.9 kN
Tensile capacity
107.14 kN
KLx/rxx
KLy/ryy
KLv/rvv
KLx/rxx
KLy/ryy
KLv/rvv
KLx/rxx
KLy/ryy
KLv/rvv
KLx*sqrt(F'y/E)/(rx*pi)
KLy*sqrt(F'y/E)/(ry*pi)
KLv*sqrt(F'y/E)/(rv*pi)
ƛc=
If ƛc <= 1.5 Fcr=(0.658 ƛc2) F'y
If ƛc > 1.5 Fcr=(0.877 / ƛc2) F'y
(0.658 ƛc2) F'y
(0.877/ƛc2) F'y
Therefore Fcr = N/mm 2,
Axial compressive Strength of member, Fc
Axial Tensile Strength of member, FT
Calculating bending strength of Member
b/t = 10 From TIA-222 G , Cl 4.7.4.1
372
195 cm
480.03 cm
0.41
290.36
1.29 kN-m
0.77 kN-m It's assumed always the outstanding leg projects downward
1.46 kN-m
0.37 kN-m
0 mm
0 mmresultant deflection = 0 mm for serviceble load (factor considered 1.2)
Check for combined bending & Axial forces
0.9
0.9
0.9
57.62 kNPu/Pe 0.22
Amplification factor for Moment, B1 for compression mem 1.28Amplification factor for Moment, B1 for Tension mem 1
0.66
Effective yield stress (F'yf) based on Local Buckling :
If b/t < = 0.54*sqrt(E/Fy) F'yf = 1.5Fy
If 0.54*sqrt(E/Fy) < b/t < = 0.91*sqrt(E/Fy) F'yf =Fy [1.5-0.93[((b/t)/0.54*sqrt(E/Fy))-1.0]]
If b/t > 0.91*sqrt(E/Fy) F'yf =0.72E/(b/t)2
F'yf N/mm 2,
Effective yield stress (F"y )based on Lateral Torsional Buckling :
Lateral unbraced Length, LB =
Lateral Torsional unbraced Length, LT = (Eb3t2/(3FyIuu))
Flextural toTorsional unbraced length ratio = Nt =
If LB < LT F"y = (1.92-1.17sqrt(Nt)Fy
If LB >= LT F"y = [ (0.92/Nt)-(0.17/Nt2)]Fy
Therefore F"y = N/mm 2,
Nominal Flextural strength about Major Principal Axis, Mnu = F'yfZuu or F"yZuu, Whichever is less
Nominal Flextural strength about Minor Principal Axis, Mnv= F'yfZvv , (when tip of of leg subjected to compression due to applied moment about weak axis)
Nominal Flextural strength about Minor Principal Axis Mnv= 1.5FyZvv , (when tip of of leg subjected to Tension due to applied moment about weak axis)
Therefore, Mnu =
Therefore, Mnv =
Therefore, Mnx =
Therefore, Mny =
Deflecction ơ xx =
Deflecction ơ yy =
For compression & tension, ɸa
For yielding under normal stress, ɸn
For Flexture, ɸf
Pe, Max compressive resistance
Pu/ɸa*Pn,compression
0.12
0.59 O K
Calculation strength of connection
Total Area of cross section, Ag = 480
111000Number of bolt rows = 1
number of bolts per row = 1number of bolts per column = 1
0
79.38Incremental facor for staggered holes
Single leg connected
0 mmboth legs connected
0 mm
0 mm
400.62 Single leg connected
400.62 Single leg connected
400.62 both legs connected
400.62 both legs connected
400.62 both legs connected
400.62
Pu/ɸa*Pn,Tension
Interaction effect due to combined action of axial force & Moment
mm2
Moment of inertia Ixx = mm4
Area of mitered section, Ad1 = mm2
Area of bolt holes, Ad2 = mm2
S2/4g =
2) S2/4g =
3) S2/4g =
Net Area, An2 = mm2
Net Area, An1 = mm2
Net Area, An1 = mm2
Net Area, An2 = mm2
Net Area, An2 = mm2
Net Area of Leg An = mm2
Centroid of the section from fayed surface =X= 14.1 mm
0 mm
0.75
300.46
1st hole in staggered connection is at the tip of leg Yes
34.12 kN 34.12
13.33 kN 13.33
14.17 kN 14.17
31 kN 31
48.29 kN 48.29
47.45 kN 47.45
44.33 kN 44.33Block shear rupture 47.45 47.45
90.14 kN
107.14 kN
35.59 kN
Design strength of Bolts
Dia of bolt = 12.7 mm
126.68
92.76 pi/4*(dia of bolt-0.9382*pitch of threads)^2Tensile strength
57.53 kN
57.53 kNBearing strength
0 kN
0 kN
36.2 kN
60.96 kN
36.2 kN
0
0 kN
Length of connection Lc =
reduction factor, 1-X/Lc =
Effective Net Area = Aen = mm2
Fu Ant =
0.6 Fu Anv =
0.6 Fy Agv =
Fy Agt =
0.6 Fy Agv +Fu Ant =
0.6 Fu Anv +Fu Ant =
0.6 Fu Anv +Fy Agt =
Nominal Axial Strength for Tensile rupture , Pntr
Nominal Axial Strength for TensileYielding , Pnty
Nominal block shear rupture, in tension , Pnbsr
C/s area of shank Ab = mm2
C/s area of Threaded area Anb = mm2
Design Tensile strength of single bolt , Rnt =Anb*fu* ɸbt
Design Tensile strength of bolt group , Rnt =
For other rows, 1.2(Lc+d/4)t*Fu =
Forsecond row, 1.2(Lc+d/4)t*Fu =
For First row, 1.2(Lc+d/4)t*Fu =
2.4*d*t*Fu =
Design bearing strength of single 1st row bolt = Rnb1 =
Design bearing strength of second 2ndrow bolt = Rnb2 =
Design bearing strength intermediat & last row bolt = Rnb3 =
28.96 kNDesign bearing strength of bolt group Rnb =
Shear strengthShear strength of bolt group ,Rnv 43.22 kN
combined shear & Tension strength
12.45 kN
0 kN
CHECKS
Type Resistance Load Ratio/Allowable
Member
Axial Compression, kN 18.9 12.45 0.66 O KAxial Tension, kN 107.14 12.45 0.12 O K
Moment, kN-m1.46 0.37 0 0 0 O K
Tensile yielding, kN 107.14 12.45 0.12 O KTensile Rupture, kN 90.14 12.45 0.14 O K
Block shear, kN 35.59 12.45 0.35 O K
connection
Tensile Strength, kN 57.53 12.45 0.22 O KBearing strength, kN 28.96 12.45 0.43 O KShear strength, kN 43.22 12.45 0.29 O K
Combined shear & Tension 0.09 O KDeflection, mm 0 9.75 O K
Combined stress due to moment & axial force 1 0.59 0.59 O KMin bracing resistance 41.21kN offered 0.31 kN Required
Slenderness ratio in compression 250 198.98 0.8 O KSlenderness ratio in Tesion 300 198.98 0.66 O K
If threads excluded,0.55*fu*Ab*No of shear planes*ɸbs* no of bolts & if Included,0.45*fu*Ab*No of shear planes*ɸbs* no of bolts
Vub =
Tub =
Mnx Mny Mnx Mny
Member connection at ends
Calculation of bracing resistance required to reduce slenderness along the plane of buckling under consideration
317 cm , 1.52 cm ,
317 cm , 0.98 cm ,
317 cm , 1.91 cm ,KLx/rxx 208.55 0 0KLy/ryy 208.55 0 0 From cl: 4.4.1KLv/rvv 323.47 0 0 From Table 4.1
Value to be considered for KL/r 134.33As varies for dif member, select values from above cells
0.31 kN From Table 4.1 Design Compressive resistance along= 41.21 kN BASED ON THE PLANE REQUIRED
L1X rxx
L1Y rvv
L1V ruu
Min bracing res Normal to member , Pr =
Input details, FOR PARAMETERS, REF "Splice plate parameters" sheetAngle-1 L150x150x15
b1 150 mm t1 15 mmCentroid 42.4 mm g11 60 mm
Area 42.74 k 29 mmAngle-2 L150x150x15
b2 150 mm t2 15 mmCentroid 42.4 mm g21 60 mm
Area 42.74 k 29 mm
As per practical standards & experimental investigation 25-30% heigher than that of connecting angles(Angle-1), from "spliced Axially -loaded single angle members in compression"
Plate-1
130 mm 130 mm
35 mm 35 mm
40 mm 40 mm
50 mm 50 mm
Area 1820
2.56E+06 2.97E+04Plate-2
110 mm 110 mm
35 mm 35 mm
30 mm 30 mm
50 mm 50 mm
Area 1320
1.33E+06 1.58E+04
Centroidal distance of All splice plates from Heel of angleCentroid at dist of 45.7898089172 mm from heel, towards both XX & YY axis
Details of bolts connected to angle-1
0.75 in 19.05No. of bolts on Angle-1 6 on one leg of angle
Number of bolt lines 2Bolts are staggered or parellel Staggered
Number of rows of bolts 6Number of bolts per Row 1
Number of bolts per column 3
35 mmThreads from shear plane Excluded
pitch of threads 10 Per In 3.94
85 mm From heel of angle-1
cm2
cm2
WP11 WP12
eP11 eP12
EP11 EP12
SP1 SP2
mm2
IP1-xx mm4 IP1-YY mm4
WP21 WP22
eP21 eP22
EP21 EP22
SP1 SP2
mm2
IP2-xx mm4 IP2-YY mm4
Dia of bolt, db1
edge dist for angle, e1
Centrod of bolt group on angle -1,CX1
160 mm From end of angle-1
218.17 pi/4*(dia of bolt-0.9382*pitch of threads)^2
Ultimate tensile strength of bolt 120.00 ksi 826.8Details of bolts connected to angle-2
0.75 in 19.05No. of bolts on Angle-2 8 on one leg of angle
Number of bolt lines 2Bolts are staggered or parellel Staggered
Number of rows of bolts 8Number of bolts per Row 1
Number of bolts per column 4
35 mmThreads from shear plane Excluded
pitch of threads 10 Per In 3.94
85 mm From heel of angle-2
210 mm From end of angle-2
218.17 pi/4*(dia of bolt-0.9382*pitch of threads)^2
Ultimate tensile strength of bolt 120 ksi 826.8Cheks
Area of plates 6280 O.K
Centroid of bolts & plate 1, for Angle-1 form heel 85 mm O.K
Centroid of bolts & plate 1, for Angle-2 form heel 85 mm O.K
Centroid of bolts & plate 2, for Angle-1 form heel 85 mm O.K
Centroid of bolts & plate 2, for Angle-2 form heel 85 mm O.K
110 mm O K
110 mm O K
LoadingAngle of Leg with verticle 0 degAxial compressive Load 828 kN
Axial tensile Load 725 kN
Shear force 0 kN
Moment due to compressive load on splice plates 2.806761783439 kN-m
Moment due to Tensile load on splice plates 2.457611464968 kN-m
Axial compressive force on one leg 414 kNAxial Tensile force on one leg 362.5 kN
CY1
C/s area of Threaded area Anb = mm2
Dia of bolt, db2
edge dist for angle, e2
Centrod of bolt group on angle -1,CX1
CY1
C/s area of Threaded area Anb = mm2
mm2
Width of plate 2, WP21
Width of plate 2, WP22
1.98 kN-m
distance bet bolt & end of angle -1 85 mmdistance bet bolt & end of angle -2 85 mm
Length of memebr = 120 mm
3.46 mm
34.68
30.4 ksi 209.46
Compressive stress due to load 156.82
Compressive stress due to moment 40.91
Total compressive stress = 197.73 O K
Tensile stress stress due to load = 137.3106060606
Tensile stress due to moment = 40.91
Total Tensile stress = 178.2206060606 O K
shear stress = 0
Shear resistance = 176.7744 kNcompressive resistance= 276.4872 kN
Tensile resistance for yielding = 294.62 kN
Check for combined Shear & compression 0.943998854197 O K
Length of memebr = 120 mm
4.04 mm
29.7
30.9 ksi 212.9
Compressive stress due to load 113.74
Compressive stress due to moment 25.11
Total compressive stress = 138.85
Tensile stress stress due to load = 99.59
Tensile stress due to moment = 25.11
Total Tensile stress = 124.7
shear stress = 0
Shear resistance = 243.7344 kNcompressive resistance= 387.478 kN
Tensile resistance for yielding = 406.22 kN
Check for combined Shear & compression 0.652184124002 O K
Moment due to Axial force, due to ecc in splice plate & Centroid of angle-1
Radius of gyration for plate -2 , ryy
KL/ryy
Available critical stress for compression from Table 4-22, AISC Manual
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
Radius of gyration for plate -1 , ryy
KL/ryy
Available critical stress for compression from Table 4-22, AISC Manual
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
Check for strength of plate at connection Resistance factors
For Tensile Yielding 0.9For Tensile Rupture 0.75
For block shear rupture 0.75
Plate -1 , check for connection at angle-1 Plate -1 , check for connection at angle-2
Area of Plate 1820 Area of Plate
Deduction of bolt hole 311.15 Deduction of bolt holeDesign tensile Load for yielding 406.22 kN Design tensile Load for yieldingDesign tensile Load for rupture 411.81 kN Design tensile Load for rupture
Design tensile Load for Block shear 686.5425 kN Design tensile Load for Block shearDesign bolt bearing strength of group 1182.43 kN Design bolt bearing strength of group
Plate -2 , check for connection at angle-1 Plate -2 , check for connection at angle-2
Area of Plate 1320 Area of Plate
Deduction of bolt hole 266.7 Deduction of bolt holeDesign tensile Load for yielding 294.62 kN Design tensile Load for yieldingDesign tensile Load for rupture 315.99 kN Design tensile Load for rupture
Design tensile Load for Block shear 566.145 kN Design tensile Load for Block shearDesign bolt bearing strength of group 1013.54 kN Design bolt bearing strength of group
3750
43750
47500
Angle-1Shear due to axial load on single bolt 34.50 kN
Shear due to Shear load on single bolt 0.00 kNShear due to Moment on single bolt(max) 1.04 kN
Resultant shear Force 34.52 kN
Angle-2Shear due to axial load on single bolt 25.88 kN
Shear due to Shear load on single bolt 0.00 kNShear due to Moment on single bolt(max) 1.04 kN
Resultant shear Force 25.90 kN
Shear strength of bolt connected for angle-1 99.21 kNShear strength of bolt connected for angle-2 99.21 kN
ChecksResistance Reaction Ratio
Plat
e-1
Tensile Rupture 411.81 181.25 0.44
mm2
mm2
mm2
mm2
∑X2 mm2
∑Y2 mm2
∑X2+∑Y2 mm2
Plat
e-1
Tensile yielding 406.22 181.25 0.45Block shear 686.5425 181.25 0.26Bearing strength 1182.43 181.25 0.15
1 0.65 0.65
Plat
e-2
Tensile Rupture 315.99 181.25 0.57Tensile yielding 294.62 181.25 0.62Block shear 566.145 181.25 0.32Bearing strength 1013.54 181.25 0.18
1 0.94 0.94Bolt shear, angle-1 99.21 34.52 0.35Bolt shear, angle-1 99.21 25.90 0.26
1 0.76 0.76
0.75 inches dia 2.75 inches length
Combined compressive & shear resistance,ratio
Combined compressive & shear resistance,ratio
Combined compressive & shear resistance,ratioBolt length of Angle-1 & Splice plates
0.75 inches dia 2.75 inches length & Packing plate of 0 mm thk
Bolt length of Angle-2 & Splice plates
Input details, FOR PARAMETERS, REF "Splice plate parameters" sheet
g12 50 mm
w 121 mm
g22 50 mm
W 121
As per practical standards & experimental investigation 25-30% heigher than that of connecting angles(Angle-1), from "spliced Axially -loaded single angle members in compression"
14 mm
850 mm
248
400
12 mm
850 mm
248
400
Centroidal distance of All splice plates from Heel of anglefrom heel, towards both XX & YY axis
Details of bolts connected to angle-1
mmon one leg of angle
Per cm
From heel of angle-1 0
tP1
LP1
Fy N/mm2
Fu N/mm2
tP2
LP1
Fy N/mm2
Fu N/mm2
From end of angle-1
pi/4*(dia of bolt-0.9382*pitch of threads)^2
Details of bolts connected to angle-2
mmon one leg of angle
Per cm
From heel of angle-2
From end of angle-2
pi/4*(dia of bolt-0.9382*pitch of threads)^2
Cheks
O.K
O.K
O.K
O.K
O.K
O K
O K
Loading
N/mm2
N/mm2
Man
dato
ry a
s ce
ntro
id is
ba
sed
on th
is c
ondi
tion.
2nd row for staggered connection & 1st row for parallel connection2nd row for staggered connection & 1st row for parallel connection
combined
14.59 mm
8.22481151474
N/Sq.mm 31.4 216.346 based on AISC manual Table 4.22
131.847133758
33.0494329125
164.89656667 should be less than critical compressive stress
115.445859873
33.0494329125
148.495292785
0 assumed shear force is acting along pricipal axis
420.5088 kN based on AISC manual clause G2.1679.32644 kN
700.85 kN Resu principal stress
0.76
N/Sq.mm
Resu principal stress
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
N/mm2
Check for strength of plate at connection
Plate -1 , check for connection at angle-2
Area of Plate 1820
Deduction of bolt hole 311.15Design tensile Load for yielding 406.22 kNDesign tensile Load for rupture 411.81 kN
Design tensile Load for Block shear 938.5425 kNDesign bolt bearing strength of group 1592.08 kN
Plate -2 , check for connection at angle-2
Area of Plate 1320
Deduction of bolt hole 266.7Design tensile Load for yielding 294.62 kNDesign tensile Load for rupture 315.99 kN
Design tensile Load for Block shear 782.145 kNDesign bolt bearing strength of group 1364.67 kN
up to max 6rows of bolts above centroid
Checks
O.K
mm2
mm2
mm2
mm2
O.KO.KO.K
O.KO.KO.KO.KO.K
O.KO.KO.K
O.K
2nd row for staggered connection & 1st row for parallel connection2nd row for staggered connection & 1st row for parallel connection
based on AISC manual Table 4.22
should be less than critical compressive stress
assumed shear force is acting along pricipal axis
based on AISC manual clause G2.1
197.73
138.85
N/mm2
N/mm2
up to max 6rows of bolts above centroid
Design of members & assumptions made Designed for checking the capacity of members & bolts only, gussets are not included
clauses mentioned are from TIA/ANSI-222G1 Designed for equal angle legs only2 Designed for single & double bolt lines3 If both the legs are connected, assumed same number of bolts, same gage & spacing 4 enter the number of bolts on one leg only, for both leg connected cases5 assumed same spacing between bolt rows6 connected leg : The leg through which load is transferred to main member
unconnected leg : The leg which is not connected7 Aplly lateral loads for plan Horizontal members , to support live load & zero for other members8 Block shear is calculated bor both legs , considering change in bolt location from tip9 Bracing resistance offered is the resistance offered by the member to main member
Bracing resistance required is the resistance required to consider the lateral support10 while calculating diagonal member length, consider cl 4.5.2.111 calculation provided to measure length is approximate, calculate from dwg for final check12 Conditiosn of bolt lines & number of bolts, rotation restraint conditions are same at both the ends of member13 the Supports should be provided for calculating incremental factor for combined stress,cell c27, assume number of bolts =1 in cell C26 for safer side
DESIGN
1 Its good to design secondary members prior to main members to know the bracing resistance2 The edge distances can be changed from the table in the bolt & Anchor tables sheet3 When the gages are not defined, the error will reflect in the tensile rupture & eccentricity factor.
4 the edge distance, spacing of bolts should be changed in Bolt & anchor table sheet & guage distances shall be changed in Equal angle index sheet, as it is made as variable5 both Splice plate & design of members can not be done together.
Design of members & assumptions made Designed for checking the capacity of members & bolts only, gussets are not included
clauses mentioned are from TIA/ANSI-222G
Conditiosn of bolt lines & number of bolts, rotation restraint conditions are same at both the ends of memberthe Supports should be provided for calculating incremental factor for combined stress,cell c27, assume number of bolts =1 in cell C26 for safer side
DESIGN
When the gages are not defined, the error will reflect in the tensile rupture & eccentricity factor.
the edge distance, spacing of bolts should be changed in Bolt & anchor table sheet & guage distances shall be changed in Equal angle index sheet, as it is made as variable
Steel Grade
fy (Mpa) fu (Mpa)1 A36 248 4002 A529 gr.50 344.74 448.16
1 2 3 4 5 6 7Splice bolts
A325 up to 1.5; A449 for larger
Bolt Washer Tool Edge Threads End Distance Bolt spacing
Dia Nom. OD Clearance Distance per
Index in in in in in mm mm
1 1/2 1 1/16 7/8 3/4 13 25 40
2 5/8 1 5/16 1 1 9/50 11 28 40
3 3/4 1 15/32 1 1/4 1 19/50 10 34 50
4 7/8 1 3/4 1 3/8 1 1/8 9 38 80
5 1 2 1 7/16 1 1/4 8 42 80
6 1 1/8 1 1/4 1 9/16 1 1/2 7
7 1 1/4 2 1/2 1 11/16 1 5/8 7
8 1 3/8 2 3/4 1 3/4 1 23/32 6
9 1 1/2 3 1 7/8 1 7/8 6
10 1 3/4 3 1/2 2 1/8 2 3/16 5
11 2 4 2 3/8 2 1/2 4 1/2
12 2 1/4 4 1/2 2 5/8 2 13/16 4 1/2
13 2 1/2 5 2 7/8 3 1/8 4
L/r
Type of member Leg 150 Yes Number of bolt lines
Main Diagonal 200 No 1
Main Horizontal 200 2
Other member 250
secondary diagonal 200
Bolt dia," bolt Length," Thread length," Bolt dia Length to be added to grip
0.5 1.25 1 0.5 0.6875
0.5 1.5 1 0.625 0.875
0.5 1.75 1 0.75 10.5 2 1 0.875 1.125
0.5 2.25 1 1 1.25
0.5 2.5 1 1.125 1.5
0.5 3.5 1 1.25 1.625
0.5 1 1 1.375 1.75
0.5 5 1 1.5 1.875
0.5 6 1
0.5 4.5 1
0.5 5.5 1
0.5 2.75 1
0.625 1.25 1.25
0.625 1.5 1.25
0.625 1.75 1.25
0.625 2 1.25
0.625 2.25 1.25
0.625 2.5 1.25
0.625 2.75 1.25
0.625 3 1.25
0.625 3.25 1.25
0.625 3.5 1.25
0.625 3.75 1.25
0.625 5 1.25
0.625 6 1.25
0.625 6.5 1.25
0.625 7 1.25
0.75 1.25 1.375
0.75 1.5 1.375
0.75 1.75 1.375
0.75 2 1.375
0.75 2.25 1.375
0.75 2.5 1.375
0.75 2.75 1.375
0.75 3 1.375
0.75 3.25 1.375
0.75 3.5 1.375
0.75 4.5 1.375
0.75 5 1.375
0.75 5.5 1.375
0.375 1.25 1.375
0.375 1.375 1.375
0.375 1.5 1.375
0.375 2 1.375
0.375 2.5 1.375
0.375 4 1.375
0.875 2 1.5
0.875 2.25 1.5
0.875 3 1.5
0.875 3.5 1.5
0.875 4 1.5
1 2 1.75
1 2.75 1.75
1 3 1.75
1 3.75 1.75
1 4.25 1.75
1 5.5 1.75
1 9 1.75
1 2.25 1.75
1 3.5 1.75
1 5.75 1.75
1 3.25 1.75
8 9 10
Nominal hole Yield Tensile
Min Edge distdiameter Strength Strength
mm ksi ksi
16 92 120 3/4 12 7/10 19.05 38.10
18 92 120 7/8 15.875 23.81 47.63
22 92 120 1 19.05 28.58 57.15
24 92 120 1 1/8 22.225 33.34 66.68
27 92 120 1 1/4 25.4 38.10 76.20
81 105 1 1/2 42.86 85.73
81 105 1 5/8 47.63 95.25
81 105 1 23/32 52.39 104.77
81 105 1 7/8 57.15 114.30
2 3/16 66.68 133.35
2 1/2 76.20 152.40
2 13/16 85.73 171.45
3 1/8 95.25 190.50
Number of bolt lines Boltlines threads
Staggered Included
Parallel Excluded
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Sectional Area, Unit Weight and Sectional Characteristic
Note :
Sectional PropertiesCenter Sec.of Unitof grav. Area Weight Geometrical Moment Radius of Gyration Modulus of Section
A B t K r1 r2 (c) of Area (cm)AxBxt mm mm mm mm mm mm cm cm² kg/m Ix=Iy Iv Iu ix=iy iv iu Sx=Sy Sv Su
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 191 L25x25x3 25 25 3.0 7.0 4.0 2.0 0.72 1.43 1.12 0.80 0.33 1.26 0.75 0.48 0.94 0.45 0.33 0.71
2 L30x30x3 30 30 3.0 7.0 4.0 2.0 0.84 1.73 1.36 1.42 0.59 2.26 0.91 0.58 1.14 0.66 0.50 1.073 L40x40x3 40 40 3.0 7.5 4.5 2.0 1.09 2.34 1.84 3.53 1.46 5.60 1.23 0.79 1.55 1.21 0.95 1.984 L40x40x4 40 40 4.0 10.0 6.0 3.0 1.12 3.08 2.42 4.48 1.87 7.12 1.21 0.78 1.52 1.55 1.18 2.525 L40x40x5 40 40 5.0 9.5 4.5 3.0 1.17 3.76 2.95 5.42 2.25 8.59 1.20 0.77 1.51 1.92 1.36 3.046 L45x45x4 45 45 4.0 10.5 6.5 3.0 1.24 3.49 2.74 6.50 2.70 10.30 1.36 0.88 1.72 1.99 1.54 3.247 L45x45x5 45 45 5.0 11.5 6.5 3.0 1.28 4.30 3.38 7.91 3.29 12.50 1.36 0.87 1.70 2.46 1.82 3.938 L50x50x4 50 50 4.0 10.5 6.5 3.0 1.37 3.89 3.05 9.06 3.76 14.40 1.53 0.98 1.92 2.50 1.94 4.079 L50x50x5 50 50 5.0 11.5 6.5 3.0 1.41 4.80 3.77 11.10 4.58 17.50 1.52 0.98 1.91 3.09 2.30 4.95
10 L50x50x6 50 50 6.0 12.5 6.5 4.5 1.44 5.64 4.43 12.60 5.23 20.00 1.49 0.96 1.88 3.54 2.57 5.6611 L60x60x4 60 60 4.0 10.5 6.5 3.0 1.61 4.69 3.68 16.00 6.62 25.40 1.85 1.19 2.33 3.64 2.91 5.9912 L60x60x5 60 60 5.0 11.5 6.5 3.0 1.66 5.80 4.55 19.60 8.09 31.20 1.84 1.18 2.32 4.52 3.45 7.3513 L60x60x6 60 60 6.0 14.0 8.0 4.0 1.69 6.91 5.42 22.80 8.28 36.24 1.82 1.09 2.29 5.29 3.46 8.5414 L65x65x5 65 65 5.0 13.5 8.5 3.0 1.77 6.37 5.00 25.30 10.50 40.10 1.99 1.28 2.51 5.35 4.19 8.7215 L65x65x6 65 65 6.0 14.5 8.5 4.0 1.81 7.53 5.91 29.40 12.20 46.60 1.98 1.27 2.49 6.27 4.77 10.1416 L65x65x8 65 65 8.0 16.5 8.5 6.0 1.88 9.76 7.66 36.80 15.30 58.30 1.94 1.25 2.44 7.97 5.75 12.6817 L70x70x6 70 70 6.0 14.5 8.5 4.0 1.93 8.13 6.38 37.10 15.30 58.90 2.14 1.37 2.69 7.32 5.61 11.9018 L70x70x7 70 70 7.0 16.0 9.0 4.5 1.97 9.40 7.38 42.40 17.64 67.01 2.12 1.37 2.67 8.43 6.33 13.5419 L75x75x6 75 75 6.0 14.5 8.5 4.0 2.06 8.73 6.85 46.10 19.00 73.20 2.30 1.48 2.90 8.47 6.52 13.8020 L75x75x8 75 75 8.0 18.0 10.0 5.0 2.13 11.50 9.03 58.90 24.51 93.41 2.26 1.46 2.85 10.97 8.14 17.6121 L75x75x8a 75 75 8.0 17.5 8.5 6.0 2.17 12.69 9.96 64.40 26.70 102.00 2.25 1.45 2.84 12.08 8.70 19.2322 L75x75x12 75 75 12.0 20.5 8.5 6.0 2.29 15.56 13.00 81.90 34.50 129.00 2.22 1.44 2.79 15.72 10.65 24.3223 L80x80x6 80 80 6.0 14.5 8.5 4.0 2.18 9.33 7.32 56.40 23.20 89.60 2.46 1.58 3.10 9.59 7.53 15.8424 L80x80x8 80 80 8.0 18.0 10.0 5.0 2.26 12.30 9.66 72.30 29.55 115.17 2.42 1.55 3.06 12.60 9.25 20.3625 L90x90x6 90 90 6.0 16.0 10.0 5.0 2.42 10.55 8.28 80.70 33.40 128.00 2.77 1.78 3.48 12.26 9.76 20.1126 L90x90x7 90 90 7.0 17.0 10.0 5.0 2.46 12.22 9.59 93.00 38.30 148.00 2.76 1.77 3.48 14.22 11.01 23.2627 L90x90x9 90 90 9.0 20.0 10.0 5.5 2.54 15.50 12.17 116.00 48.01 184.49 2.74 1.76 3.45 17.96 13.37 28.9928 L90x90x10 90 90 10.0 20.0 10.0 7.0 2.57 17.00 13.35 125.00 51.70 199.00 2.71 1.74 3.42 19.44 14.22 31.2729 L90x90x13 90 90 13.0 23.0 10.0 7.0 2.69 21.71 17.04 156.00 65.30 248.00 2.68 1.73 3.38 24.72 17.17 38.9730 L100x100x7 100 100 7.0 17.0 10.0 5.0 2.71 13.62 10.69 129.00 53.20 205.00 3.08 1.98 3.88 17.70 13.88 28.9931 L100x100x8 100 100 8.0 18.0 10.0 7.0 2.75 15.47 12.14 146.00 58.82 234.09 3.07 1.95 3.89 20.14 15.13 33.1132 L100x100x10 100 100 10.0 20.0 10.0 7.0 2.82 19.00 14.92 175.00 72.00 278.00 3.03 1.95 3.83 24.37 18.05 39.3233 L100x100x13 100 100 13.0 23.0 10.0 7.0 2.94 24.31 19.08 220.00 91.10 348.00 3.01 1.94 3.78 31.16 21.91 49.2134 L120x120x8 120 120 8.0 20.0 12.0 5.0 3.24 18.76 14.73 258.00 106.00 410.00 3.71 2.38 4.67 29.45 23.13 48.3235 L120x120x10 120 120 10.0 23.0 13.0 4.8 3.31 23.20 18.21 313.00 129.00 497.00 3.67 2.36 4.63 0.00 0.00 0.0036 L120x120x12 120 120 12.0 25.0 13.0 6.5 3.40 27.50 21.59 388.00 151.87 581.90 3.66 2.35 4.60 42.79 31.58 68.5837 L130x130x9 130 130 9.0 21.0 12.0 6.0 3.53 22.74 17.85 366.00 150.00 583.00 4.01 2.57 5.06 38.65 30.05 63.4238 L130x130x12 130 130 12.0 24.0 12.0 8.5 3.64 29.76 23.36 467.00 192.00 743.00 3.96 2.54 5.00 49.89 37.30 80.8339 L150x150x10 130 150 10.0 26.0 16.0 4.8 4.03 29.28 22.99 624.00 258.00 991.00 4.62 2.97 5.82 0.00 0.00 0.0040 L150x150x12 150 150 12.0 26.0 14.0 7.0 4.14 34.77 27.29 740.00 304.00 1180.00 4.61 2.96 5.83 68.14 51.92 111.2541 L150x150x15 150 150 15.0 29.0 14.0 10.0 4.24 42.74 33.55 888.00 365.00 1410.00 4.56 2.92 5.74 82.53 60.87 132.9442 L150x150x19 150 150 19.0 33.0 14.0 10.0 4.40 53.38 41.90 1090.00 451.00 1730.00 4.52 2.91 5.69 102.83 72.48 163.1143 L175x175x12 175 175 12.0 27.0 15.0 11.0 4.73 40.52 31.81 1170.00 480.00 1860.00 5.37 3.44 6.78 91.62 71.76 150.3144 L175x175x15 175 175 15.0 30.0 15.0 11.0 4.85 50.21 39.41 1440.00 589.00 2290.00 5.36 3.43 6.75 113.83 85.87 185.0645 L200x200x15 200 200 15.0 32.0 17.0 12.0 5.46 57.75 45.33 2180.00 891.00 3470.00 6.14 3.93 7.75 149.93 115.39 245.3746 L200x200x20 200 200 20.0 37.0 17.0 12.0 5.67 76.00 59.66 2820.00 1160.00 4490.00 6.09 3.91 7.69 196.79 144.66 317.4947 L200x200x25 200 200 25.0 42.0 17.0 12.0 5.86 93.75 73.59 3420.00 1410.00 5420 6.04 3.88 7.60 241.87 170.14 383.2548 L203x203x12.7 203 203 12.7 28.6 0.0 0.0 0.00 50.58 0.00 0.00 0.00 0 0.00 4.04 0.00 0.00 0.00 0.0049 L250x250x25 250 250 25.0 49.0 24.0 12.0 7.10 119.40 93.73 695,000 2860.00 1100 7.63 4.89 9.60 388.27 284.83 622.2550 L250x250x35 250 250 35.0 59.0 24.0 18.0 7.45 162.60 127.64 9110.00 3790.00 1440 7.49 4.83 9.41 519.09 359.72 814.59
Standard Sectional Dimension of Equal Angle Steel and Its
of Inertia (cm4) (cm3)
20 21 22 23 24
g g1 g2Grade (Mpa) Gage Gage Gage
fy fu distance distance distance
mm cm cm20 21 22 23 23
248.00 400.00 15.00
248.00 400.00 20.00
248.00 400.00 22.00248.00 400.00 22.00248.00 400.00 22.00248.00 400.00 25.00248.00 400.00 25.00248.00 400.00 30.00248.00 400.00 30.00248.00 400.00 30.00248.00 400.00 35.00248.00 400.00 35.00248.00 400.00 35.00248.00 400.00 35.00248.00 400.00 35.00248.00 400.00 35.00248.00 400.00 40.00248.00 400.00 40.00248.00 400.00 37.50248.00 400.00 45.00248.00 400.00 45.00248.00 400.00 45.00248.00 400.00 45.00248.00 400.00 40.00248.00 400.00 45.00248.00 400.00 50.00248.00 400.00 50.00248.00 400.00 50.00248.00 400.00 50.00248.00 400.00 60.00248.00 400.00 60.00248.00 400.00 60.00248.00 400.00 60.00344.74 448.16 60.00 50.00 40.00344.74 448.16 60.00 50.00 40.00344.74 448.16 60.00 50.00 40.00344.74 448.16344.74 448.16344.74 448.16 90.00 55.00 60.00344.74 448.16 90.00 55.00 60.00344.74 448.16 90.00 60.00 50.00344.74 448.16 90.00 55.00 60.00344.74 448.16 100.00 60.00 75.00344.74 448.16 100.00 60.00 65.00344.74 448.16 115.00 70.00 65.00344.74 448.16 115.00 75.00 75.00344.74 448.16 115.00 75.00 75.00344.74 448.16344.74 448.16344.74 448.16