FIN PLATE_beam to Beam
January 21, 2018 | Author: Hemant Ramesh Narkar | Category: N/A
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FIN PLATE CONNECTION
Project No.
CIMPOR
Desgined By
VPV
Date
12/9/2012
Dept.
321/331
Checked By
RMM
Date
12/9/2012
Doc. No.
SC-01
Approved By
KKM
Date
12/9/2012
Page No.
CONNECTION DESIGN Fin plate connection - Fin plate bolted to connecting member & welded to supporing member
SINGLE PLATE CONNECTION BY
LRFD
Load From Beam he 600 a
METHOD
Shear Force Fy = Axial Force Fx = Resultant Force F = = C=
hcc =52
170 20 mm
mm
6 mm
602.00 kN 0.00 kN 602.00 kN
fillet weld on both side of plate
mm
he 600 a HE 600 A 6-24 dia A8.8 Grade bolts 104 x 459 x 16 thick A36 Grade plate with Short Slotted hole of 27 x 34 mm, longer dimen. is perpendicular to load NOTES: All structural steel as per IS2062 sketch shown for connection is indicative only. SECTION PROPERTIES : Main Member = Grade of beam Fym= Depth (h) = Flange Width (b) = Flange Thickness (tf) = Web thickness (tw) = Clear Depth of web (dm)= Root Radius (r) = Area of section (A) =
HE 600 A Connecting Member = 2 250 N/mm Grade of beam Fyc= 590.0 mm 300.0 mm 25.0 mm 13.0 486.0 27.0 226.5
mm mm mm cm2
he 600 a
2 250 N/mm 590.0 mm 300.0 mm
Depth (hc) = Flange Width (bc) =
25.0 mm
Flange Thickness (tfc) =
13.0 486.0 27.0 226.5
Web thickness (twc) = Clear Depth of web (dc)= Root Radius (rc) = Area of section (Ac) =
mm mm mm cm2
INPUT FOR BOLT AND PLATE SIZE: Grade of Bolt Used = grade 8.8 24 mm Bolt dia. (db) = 6 No. of bolt rows (nr) = 1 No. of columns of bolt (nc) = Total number of bolts (N) = 6 Standard Type of hole in Web = Short Slotted Type of hole in Fin plate = 25.5 mm Horizontal Dia. of hole in beam (dhhb)= 25.5 mm Vertical Dia. of hole in beam (dhvb)= 25.5 mm Horizontal Dia. of hole in plate (dhhp)= 25.5 mm Vertical Dia. of hole in plate (dhvp)=
Grade of Plate Used = Thickness of fin plate Width of plate Depth of fin plate = Guage (horizontal distnace) Pitch (vertical distance ) Vertical Edge distance = Horizontal Edge distance =
A36 tp = wp = Dp = p= s= lv = lh =
16 104 459 0 75 42 42
mm mm mm < mm mm mm mm
486.0 mm
Ok
FIN PLATE CONNECTION
Project No.
CIMPOR
Desgined By
VPV
Date
12/9/2012
Dept.
321/331
Checked By
RMM
Date
12/9/2012
Doc. No.
SC-01
Approved By
KKM
Date
12/9/2012
MATERIAL PROPERTIES : INPUT DATA : A) CONNECTION PLATE Grade a) Yield Strength Of Rolled Member b) Minimum Specified Tensile Stress c) Permissible Bearing Stress
Fyp Fup Fbrp
d) Permissible Bending Stress
Page No.
= = =
A36 2 250 N/mm 2 400 N/mm
=
720 N/mm2 (1.8xFup)
Fbp
=
225 N/mm2 (0.90xFyp)
e) Permissible Shear Stress
Fvp
f) Permissible Tensile Stress
Ftp
= = =
g) Permissible Shear Stress For Block Shear h) Permissible Tensile Stress For Block Shear
Fvsp Ftsp
150 N/mm2 180 N/mm2 225 N/mm2 2 300 N/mm 2 N/mm 180
B) BOLTS Grade Of Material Used For Bolt a) Yield Stress b) Minimum Specified Tensile Stress
A
c) Nominal Tensile Stress d) Nominal Shear Stress in Bearing-Type Conn. e) Permissible Bearing Stress f) Permissible Shear Stress g) Permissible Tensile Stress GRADE A 8.8
=
8.8 Fyb Fub Fnt Fnv Fbrb Fbrb Fvb
M
Area
24
452
mm
2
TENSION CAPACITY (KN)
(0.45xFup) (0.9xFyp) (0.75xFup) (0.45xFup) (0.75xFup)
N/mm2 N/mm2 N/mm2 (0.75xFub) N/mm2 (0.4xFub) N/mm2 (1.8xFub) N/mm2 (0.9xFub) 2 240 N/mm (0.3xFub) 2 N/mm 448 (0.56xFub)
= = = = =
640 800 600 320 1440 720
= = =
Ftb
BOLT mm
2 300 N/mm
=
(0.6xFyp)
SHEAR CAPACITY(KN) SINGLE SHEAR DOUBLE SHEAR
203
109
217
PITCH & EDGE DISTANCE BOLT DIA mm 24
MIN.PITCH DISTANCE mm 72
MIN.EDGE DISTANCE mm 50
C) WELDS a) Welding Electrodes (Ref NBR8800:2008,Table A.4, Page No. 110) b) Permissible Stress
FW
=
2 415 N/mm LRFD
c) Nominal Tensile Strength d) Permissible Shear Stress
Ftw Fvw
= =
2 199 N/mm 2 184 N/mm
WELD SIZE mm 6
= E
SHEAR CAPACITY KN/mm 0.78
60 XX
(0.48xFw) (0.4 x Fw)
FIN PLATE CONNECTION
Project No.
CIMPOR
Desgined By
VPV
Date
12/9/2012
Dept.
321/331
Checked By
RMM
Date
12/9/2012
Doc. No.
SC-01
Approved By
KKM
Date
12/9/2012
Page No.
Design Check 1 Bearing Check for Bolt Hole = Dia. Of the bolt used 24 mm = No of bolts used for the bearing 6 Allowable bearing strength per Bolt shall be minimum value of following two cases: = (1/γa2) x 3.0 x Fup x db x tp OR (1/γa2) x 3.0 x Fup x db x twc 1. Allowable bearing strength = min of (2.22 x Fup xdb x tp OR 2.22 x Fup xdb x twc) x N (Ref NBR8800:2008,CL.6.3.3.3, Page No. 78) = 2.22 x 400 x 24 x min of(16 , 13) x 6/1000) (where ,γa2 =1.35 ) = 1647 KN = (1/γa2) x 1.5 x Fup x Lc x tp x nc 2. Allowable bearing strength = 1.11 x Fup x Lc x tp x nc (Ref NBR8800:2008,CL.6.3.3.3, Page No. 78) = 1.11 x 400 x (459-(6 x 25.5)) x 16 x 1/1000 (where ,γa2 =1.35 ) = 2174 KN = Therefore Allowable bearing strength 1647 KN 1647
2 Shear Check for Bolt Bolts are in single / double shear No of bolts used Dia of the bolts used Cross sectional area of the bolt Shear Capacity per Bolt (Ref NBR8800:2008,CL.6.3.3.2 a, Page No. 77)
Total shearing force carryiong capacity 642.6
3 Shearing strength of plate Thickness of Plate Assumed tp Depth of plate Dp Effective Depth bn = Dp-(dhvp xN) = Gross area of plate Ag = tp x Dp Net area of plate An = tp x bn Shear Capacity of Plate = (Ref NBR8800:2008,CL.6.5.5 a & b, Page No. 87) (where ,γa1 =1.10 & γa2 =1.35 )
> 602.00 KN Hence ok
= = = = = = = = = =
Single 6 mm 24 mm 452 sqmm (where ,γa2 =1.35 ) (1/γa2) x Fnv x Ab (Fnv = 0.40 x Fub) (0.4/1.35) x Fub x Ab 0.296 x Fub x Ab (0.296x 800 x 452.16)/1000 107.1 KN 642.6 KN 602.00 KN
> Hence ok
= = = = = = = = =
16 mm 459 mm 306 mm 7344 mm2 4896 mm2 min of ((1/γa1) x 0.6 x Fyp x Ag & (1/γa2) x 0.6 x Fup x An) min of (0.545 x Fyp x Ag & 0.444 x Fup x An min of{(0.545 x 250 x 7344) &(0.444 x 400 x 4896)}/1000 869.5 KN 869.53 > 602.00 KN Hence ok
4 Block Shear of Plate min of { (1/γa2)(0.6 x Fup x Anv)+(Cts x fup x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyp x Agv)+(Cts x fup x Ant) } Ant = (lh - dhhp/2) x tp 42-( 25.5/2) ) x16= 468 mm2 = Agv = (lv + (N -1) x s) x tp = 42+( 6-1)x75) x 16= 6672 mm2 Anv = (lv + (N -1) x (s - dhvp) - dhvp/2)) x tp = {42+(6-1)x49.5-12.75} x 16= 4428 mm2 Cts = 1 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.444 x 400 x 4428) + (0.740 x 1 x 400 x 468)}/1000 & {(0.44 x 250 x 6672) + (0.740 x 1 x 400 x 468)}/1000 = 872 KN 872 > 602.00 KN Hence ok
FIN PLATE CONNECTION
Project No.
CIMPOR
Desgined By
VPV
Date
12/9/2012
Dept.
321/331
Checked By
RMM
Date
12/9/2012
Doc. No.
SC-01
Approved By
KKM
Date
12/9/2012
Page No.
5 Block Shear of web of connecting member min of { (1/γa2)(0.6 x Fuc x Anv)+(Cts x fuc x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyc x Agv)+(Cts x fuc x Ant) } Ant = (lh - dhhb/2) x twc 42-( 25.5/2) ) x13= 380.25 mm2 = Agv = (lv + (N -1) x s) x twc = 42+( 6-1)x75) x 13= 5421 mm2 Anv = (lv + (N -1) x (s - dhvb) - dhvb/2)) x twc = {42+(6-1)x49.5-12.75} x 13= 3597.8 mm2 Cts = 1 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.444 x 400 x 3597.75) + (0.740 x 1 x 400 x 380.25)}/1000 & {(0.44 x 250 x 5421) + (0.740 x 1 x 400 x 380.25)}/1000 = 708.9 KN 708.9 602.0 KN > Hence ok 6 Check for Thickness of plate Eccentricity of shear force e Moment due to ecentric force M = Fv x e mininum tp required = 6M/ (Fbp*(Dp)2) 16
7 Weld check between fin plate and beam web Depth of Plate (Dp) = L Weld length available ( lw) Thickness of the weld used (w) Weld Capacity required =
= = =
0.052 31.304 4.0 4.0 > Hence ok
= = =
Total load carrying capacity of the weld
=
(Ref NBR8800:2008,CL.6.2.5.1, Page No. 71)
= = =
(where , γw2 =1.35)
459 918 6 602.00
m KN-m mm mm
mm mm mm KN
(1/γw2) x 0.60 x fw x Aw / ((1 + (6 x e /L ) )x 1000)
(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L / ((1 + (6 x e /L))x 1000 (0.44 x 415 x 0.707 x 6 x 2 x 459 / ((1 + (6 x 0.052/459))x 1000 717.0 KN 717.0 602.0 KN > Hence ok
8 Check for Local Web Buckling of Connecting member = Coped Beam Depth hcc = Reduced Beam Depth (hc -hcc) ho = Coped Beam Length C
52 mm 538 mm 170 mm
24 x tw3 x sqrt( E x Fy ) / (γa1 x h) (24 x 13^3 x sqrt ( 200000 x 250)/ (1.1 x 538 x 1000) 630.0 KN 630.0 602.0 KN > Hence ok
Flexural Load FRd (Ref NBR8800:2008,CL.5.7.6.2, Page No. 60)
= = =
FIN PLATE CONNECTION
Project No.
CIMPOR
Desgined By
VPV
Date
12/9/2012
Dept.
321/331
Checked By
RMM
Date
12/9/2012
Doc. No.
SC-01
Approved By
KKM
Date
12/9/2012
Page No.
SUMMARY SINGLE PLATE CONNECTION Single plate welded to Main beam and bolted to connecting beam PLATE SIZE :
104 x 459 x 16 thick A36 Grade plate
BOLT No. AND DIA :
6-24 dia A8.8 Grade bolts
Size of Weld (w):
6 mm
Pitch Distance (s) :
75 mm
Horizontal Edge Distance (lh) :
42 mm
Vertical Edge Distance (lv) :
42 mm
Coped Depth of Connectng Member (hcc):
52 mm
Coped Length of Connectng Member (C):
170 mm
Shear Force (Fv) 6 mm fillet weld on side of plate
he 600 a
HE 600 A
104 x 459 x 16 thick A36 Grade plate with Short Slotted hole of 27 x 34 mm, longer dimen. is perpendicular to load 6-24 dia A8.8 Grade bolts
ISMB SECTION
Designation
1 ISMB 100 ISMB 125 ISMB 150 ISMB 175 ISMB 200 ISMB 225 ISMB 250 ISMB 300 ISMB 350 ISMB 400 ISMB 450 ISMB 500 ISMB 550 ISMB 600
Mass per metre M
Depth of Section d
Width of Section bf
kg/m
mm
2
3 8.9 13.3 15 19.6 24.2 31.1 37.3 46 52.4 61.5 72.4 86.9 104 123
CHANNEL SECTION Section Designation
1
2 Mass per Metre M kg/m 2
7.14 9.56 13.1 16.8 19.6 22.3 26.1 30.6 36.3 42.7 50.1
ISMC 75 ISMC 100 ISMC 125 ISMC 150 ISMC 175 ISMC 200 ISMC 225 ISMC 250 ISMC 300 ISMC 350 ISMC 400 SINGLE ANGLE Section Designation axbxt
Thickness of Flange Web
Root Radius
tw
tf
r1
mm
mm
mm
mm
4
5
6
7
100 125 150 175 200 225 250 300 350 400 450 500 550 600
50 70 75 85 100 110 125 140 140 140 150 180 190 210
3 Depth of Section h mm 3 75
4 Width of section b mm 4 40
100
50
5
7.7
4.7
125
65
5.3
8.2
5
150
75
5.7
9
5.4
175
75
6
10.2
5.7
200
75
6.2
11.4
6.1
225
80
6.5
12.4
6.4
250
80
7.2
14.1
7.1
300
90
7.8
13.6
7.6
350
100
8.3
13.5
8.1
400
100
8.8
15.3
8.6
2 Mass per metre
3
4 Section Dimensions
M kg/m
a mm
b mm
4.7 5 5 5.8 5.7 6.5 6.9 7.7 8.1 8.9 9.4 10.2 11.2 12
7 8 8 9 10 11.8 12.5 13.1 14.2 16 17.4 17.2 19.3 20.3
5 6 Thickness of Web Flange tw tf mm mm 5 6 4.8 7.5
9 9 9 10 11 12 13 14 14 14 15 17 18 20 7 Radius of Root r1 mm 7 4.4
5
6
7 Root radius
t1 mm
t2
r1 mm
1 ISA 20x20x3 ISA 20x20x4 ISA 25x25x3 ISA 25x25x4 ISA 25x25x5 ISA 30x30x3 ISA 30x30x4 ISA 30x30x5 ISA 35x35x3 ISA 35x35x4 ISA 35x35x5 ISA 35x35x6 ISA 40x40x3 ISA 40x40x4 ISA 40x40x5 ISA 40x40x6 ISA 45x45x3 ISA 45x45x4 ISA 45x45x5 ISA 45x45x6 ISA 50x50x3 ISA 50x50x4 ISA 50x50x5 ISA 50x50x6 ISA 50x50x7 ISA 50x50x8 ISA 55x55x5 ISA 55x55x6 ISA 55x55x8 ISA 55x55x10 ISA 60x60x4 ISA 60x60x5 ISA 60x60x6 ISA 60x60x8 ISA 60x60x10 ISA 65x65x5 ISA 65x65x6 ISA 65x65x8 ISA 65x65x10 ISA 70x70x5 ISA 70x70x6 ISA 70x70x7 ISA 70x70x8 ISA 70x70x10 ISA 75x75x5 ISA 75x75x6 ISA 75x75x8 ISA 75x75x10 ISA 80x80x6 ISA 80x80x8 ISA 80x80x10 ISA 80x80x12 ISA 90x90x6 ISA 90x90x8
2
3 0.9 1.1 1.1 1.4 1.8 1.4 1.8 2.2 1.6 2.1 2.6 3 1.8 2.4 3 3.5 2.1 2.7 3.4 4 2.3 3 3.8 4.5 5.15 5.82 4.1 4.9 6.4 7.9 3.7 4.5 5.4 7 8.6 4.9 5.8 7.7 9.4 5.3 6.3 7.38 8.3 10.2 5.7 6.8 8.9 11 7.3 9.6 11.8 14 8.2 10.8
4 20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90
5 20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90
6 3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8
7 3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8
4 4 4.5 4.5 4.5 5 5 5 5 5 5 5 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.5 6 6 6 6 7 7 6.5 6.5 6.5 6.5 8 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 7 7 9 7 7 7 7 7 7 8 8 8 8 8.5 8.5
ISA 90x90x10 ISA 90x90x12 ISA 100x100x6 ISA 100x100x7 ISA 100x100x8 ISA 100x100x10 ISA 100x100x12 ISA 100x100x15 ISA 110x110x8 ISA 110x110x10 ISA 110x110x12 ISA 110x110x16 ISA 120x120x8 ISA 120x120x10 ISA 120x120x12 ISA 120x120x15 ISA 130x130x8 ISA 130x130x9 ISA 130x130x10 ISA 130x130x12 ISA 130x130x16 ISA 150x150x10 ISA 150x150x12 ISA 150x150x15 ISA 150x150x16 ISA 150x150x18 ISA 150x150x20 ISA 180x180x15 ISA 180x180x18 ISA 180x180x20 ISA 200x200x12 ISA 200x200x16 ISA 200x200x20 ISA 200x200x24 ISA 200x200x25
13.4 15.8 9.2 10.7 12.1 14.9 17.7 21.9 13.4 16.6 19.7 25.7 14.7 18.2 21.6 26.6 15.9 17.9 19.7 23.5 30.7 22.9 27.3 33.8 35.8 40.1 44.1 40.9 48.6 53.7 36.9 48.5 60 71.1 73.9
DOUBLE ANGLE Section Designation axbxt 1 2L-ISA 20x20x3 2L-ISA 20x20x4 2L-ISA 25x25x3 2L-ISA 25x25x4 2L-ISA 25x25x5 2L-ISA 30x30x3 2L-ISA 30x30x4 2L-ISA 30x30x5 2L-ISA 35x35x3 2L-ISA 35x35x4
90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200
2 Mass per metre
3
M kg/m 2
a mm 3
1.8 2.2 2.2 2.8 3.6 2.8 3.6 4.4 3.2 4.2
90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200
4 Section Dimensions b mm 4 20 20 25 25 25 30 30 30 35 35
20 20 25 25 25 30 30 30 35 35
10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25
10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25
8.5 8.5 8.5 12 8.5 8.5 8.5 12 10 10 10 10 13 13 13 13 10 13 10 10 10 12 12 16 12 16 12 18 18 18 15 15 15 18 15
5
6
7 Root radius
t1 mm 5
t2
r1
6
mm 7
3 4 3 4 5 3 4 5 3 4
3 4 3 4 5 3 4 5 3 4
2L-ISA 35x35x5 2L-ISA 35x35x6 2L-ISA 40x40x3 2L-ISA 40x40x4 2L-ISA 40x40x5 2L-ISA 40x40x6 2L-ISA 45x45x3 2L-ISA 45x45x4 2L-ISA 45x45x5 2L-ISA 45x45x6 2L-ISA 50x50x3 2L-ISA 50x50x4 2L-ISA 50x50x5 2L-ISA 50x50x6 2L-ISA 50x50x7 2L-ISA 50x50x8 2L-ISA 55x55x5 2L-ISA 55x55x6 2L-ISA 55x55x8 2L-ISA 55x55x10 2L-ISA 60x60x4 2L-ISA 60x60x5 2L-ISA 60x60x6 2L-ISA 60x60x8 2L-ISA 60x60x10 2L-ISA 65x65x5 2L-ISA 65x65x6 2L-ISA 65x65x8 2L-ISA 65x65x10 2L-ISA 70x70x5 2L-ISA 70x70x6 2L-ISA 70x70x7 2L-ISA 70x70x8 2L-ISA 70x70x10 2L-ISA 75x75x5 2L-ISA 75x75x6 2L-ISA 75x75x8 2L-ISA 75x75x10 2L-ISA 80x80x6 2L-ISA 80x80x8 2L-ISA 80x80x10 2L-ISA 80x80x12 2L-ISA 90x90x6 2L-ISA 90x90x8 2L-ISA 90x90x10 2L-ISA 90x90x12 2L-ISA 100x100x6 2L-ISA 100x100x7 2L-ISA 100x100x8 2L-ISA 100x100x10 2L-ISA 100x100x12 2L-ISA 100x100x15 2L-ISA 110x110x8 2L-ISA 110x110x10 2L-ISA 110x110x12
5.2 6 3.6 4.8 6 7 4.2 5.4 6.8 8 4.6 6 7.6 9 10.3 11.64 8.2 9.8 12.8 15.8 7.4 9 10.8 14 17.2 9.8 11.6 15.4 18.8 10.6 12.6 14.76 16.6 20.4 11.4 13.6 17.8 22 14.6 19.2 23.6 28 16.4 21.6 26.8 31.6 18.4 21.4 24.2 29.8 35.4 43.8 26.8 33.2 39.4
35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110
35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110
5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12
5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12
2L-ISA 110x110x16 2L-ISA 120x120x8 2L-ISA 120x120x10 2L-ISA 120x120x12 2L-ISA 120x120x15 2L-ISA 130x130x8 2L-ISA 130x130x9 2L-ISA 130x130x10 2L-ISA 130x130x12 2L-ISA 130x130x16 2L-ISA 150x150x10 2L-ISA 150x150x12 2L-ISA 150x150x15 2L-ISA 150x150x16 2L-ISA 150x150x18 2L-ISA 150x150x20 2L-ISA 180x180x15 2L-ISA 180x180x18 2L-ISA 180x180x20 2L-ISA 200x200x12 2L-ISA 200x200x16 2L-ISA 200x200x20 2L-ISA 200x200x24 2L-ISA 200x200x25
51.4 29.4 36.4 43.2 53.2 31.8 35.8 39.4 47 61.4 45.8 54.6 67.6 71.6 80.2 88.2 81.8 97.2 107.4 73.8 97 120 142.2 147.8
STAR ANGLE STAR-ISA 20x20x3 STAR-ISA 20x20x4 STAR-ISA 25x25x3 STAR-ISA 25x25x4 STAR-ISA 25x25x5 STAR-ISA 30x30x3 STAR-ISA 30x30x4 STAR-ISA 30x30x5 STAR-ISA 35x35x3 STAR-ISA 35x35x4 STAR-ISA 35x35x5 STAR-ISA 35x35x6 STAR-ISA 40x40x3 STAR-ISA 40x40x4 STAR-ISA 40x40x5 STAR-ISA 40x40x6 STAR-ISA 45x45x3 STAR-ISA 45x45x4 STAR-ISA 45x45x5 STAR-ISA 45x45x6 STAR-ISA 50x50x3 STAR-ISA 50x50x4 STAR-ISA 50x50x5 STAR-ISA 50x50x6 STAR-ISA 50x50x7 STAR-ISA 50x50x8 STAR-ISA 55x55x5 STAR-ISA 55x55x6
2
110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200 3
1.8 2.2 2.2 2.8 3.6 2.8 3.6 4.4 3.2 4.2 5.2 6 3.6 4.8 6 7 4.2 5.4 6.8 8 4.6 6 7.6 9 10.3 11.64 8.2 9.8
110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200 4
20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55
16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25 5
20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55
16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25 6
3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6
7 3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6
STAR-ISA 55x55x8 STAR-ISA 55x55x10 STAR-ISA 60x60x4 STAR-ISA 60x60x5 STAR-ISA 60x60x6 STAR-ISA 60x60x8 STAR-ISA 60x60x10 STAR-ISA 65x65x5 STAR-ISA 65x65x6 STAR-ISA 65x65x8 STAR-ISA 65x65x10 STAR-ISA 70x70x5 STAR-ISA 70x70x6 STAR-ISA 70x70x7 STAR-ISA 70x70x8 STAR-ISA 70x70x10 STAR-ISA 75x75x5 STAR-ISA 75x75x6 STAR-ISA 75x75x8 STAR-ISA 75x75x10 STAR-ISA 80x80x6 STAR-ISA 80x80x8 STAR-ISA 80x80x10 STAR-ISA 80x80x12 STAR-ISA 90x90x6 STAR-ISA 90x90x8 STAR-ISA 90x90x10 STAR-ISA 90x90x12 STAR-ISA 100x100x6 STAR-ISA 100x100x7 STAR-ISA 100x100x8 STAR-ISA 100x100x10 STAR-ISA 100x100x12 STAR-ISA 100x100x15 STAR-ISA 110x110x8 STAR-ISA 110x110x10 STAR-ISA 110x110x12 STAR-ISA 110x110x16 STAR-ISA 120x120x8 STAR-ISA 120x120x10 STAR-ISA 120x120x12 STAR-ISA 120x120x15 STAR-ISA 130x130x8 STAR-ISA 130x130x9 STAR-ISA 130x130x10 STAR-ISA 130x130x12 STAR-ISA 130x130x16 STAR-ISA 150x150x10 STAR-ISA 150x150x12 STAR-ISA 150x150x15 STAR-ISA 150x150x16 STAR-ISA 150x150x18 STAR-ISA 150x150x20 STAR-ISA 180x180x15 STAR-ISA 180x180x18
12.8 15.8 7.4 9 10.8 14 17.2 9.8 11.6 15.4 18.8 10.6 12.6 14.76 16.6 20.4 11.4 13.6 17.8 22 14.6 19.2 23.6 28 16.4 21.6 26.8 31.6 18.4 21.4 24.2 29.8 35.4 43.8 26.8 33.2 39.4 51.4 29.4 36.4 43.2 53.2 31.8 35.8 39.4 47 61.4 45.8 54.6 67.6 71.6 80.2 88.2 81.8 97.2
55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180
55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180
8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18
8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18
STAR-ISA 180x180x20 STAR-ISA 200x200x12 STAR-ISA 200x200x16 STAR-ISA 200x200x20 STAR-ISA 200x200x24 STAR-ISA 200x200x25 UNEQUAL ANGLE Section Designation axbxt 1 ISA 30x20x3 ISA 30x20x4 ISA 30x20x5 ISA 40x25x3 ISA 40x25x4 ISA 40x25x5 ISA 40x25x6 ISA 45x30x3 ISA 45x30x4 ISA 45x30x5 ISA 45x30x6 ISA 50x30x3 ISA 50x30x4 ISA 50x30x5 ISA 50x30x6 ISA 60x40x5 ISA 60x40x6 ISA 60x40x8 ISA 65x45x5 ISA 65x45x6 ISA 65x45x8 ISA 70x45x5 ISA 70x45x6 ISA 70x45x8 ISA 70x45x10 ISA 75x50x5 ISA 75x50x6 ISA 75x50x8 ISA 75x50x10 ISA 80x50x5 ISA 80x50x6 ISA 80x50x8 ISA 80x50x10 ISA 90x60x6 ISA 90x60x8 ISA 90x60x10 ISA 90x60x12 ISA 100x65x6 ISA 100x65x8 ISA 100x65x10 ISA 100x75x6
107.4 73.8 97 120 142.2 147.8 2 Mass per metre M kg/m 2
180 200 200 200 200 200 3
180 200 200 200 200 200 4
20 12 16 20 24 25
20 12 16 20 24 25
5
6
7 Root radius
t1 mm 5
t2
r1
6
mm 7
Section Dimensions a mm 3
b mm 4 20 20 20 25 25 25 25 30 30 30 30 30 30 30 30 40 40 40 45 45 45 45 45 45 45 50 50 50 50 50 50 50 50 60 60 60 60 65 65 65 75
30 30 30 40 40 40 40 45 45 45 45 50 50 50 50 60 60 60 65 65 65 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100
3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 5 6 8 5 6 8 5 6 8 10 5 6 8 10 5 6 8 10 6 8 10 12 6 8 10 6
3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 5 6 8 5 6 8 5 6 8 10 5 6 8 10 5 6 8 10 6 8 10 12 6 8 10 6
4.5 4.5 4.5 5 5 5 5 5 5 5 5 5.5 5.5 5.5 5.5 6 6 6 6 6 6 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 7 7 7 7 7 7 7 7 8 8 8 8.5
ISA 100x75x8 ISA 100x75x10 ISA 100x75x12 ISA 125x75x6 ISA 125x75x8 ISA 125x75x10 ISA 125x95x6 ISA 125x95x8 ISA 125x95x10 ISA 125x95x12 ISA 150x75x8 ISA 150x75x10 ISA 150x75x12 ISA 150x115x8 ISA 150x115x10 ISA 150x115x12 ISA 150x115x16 ISA 200x100x10 ISA 200x100x12 ISA 200x100x16 ISA 200x150x10 ISA 200x150x12 ISA 200x150x16 ISA 200x150x20 ISA 40x20x3 ISA 40x20x4 ISA 40x20x5 ISA 60x30x5 ISA 60x30x6 ISA 60x40x7 ISA 65x50x5 ISA 65x50x6 ISA 65x50x7 ISA 65x50x8 ISA 70x50x5 ISA 70x50x6 ISA 70x50x7 ISA 70x50x8 ISA 75x50x7 ISA 80x40x5 ISA 80x40x6 ISA 80x40x7 ISA 80x40x8 ISA 80x60x6 ISA 80x60x7 ISA 80x60x8 ISA 90x65x6 ISA 90x65x7 ISA 90x65x8 ISA 90x65x10 ISA 100x50x6 ISA 100x50x7 ISA 100x50x8 ISA 100x50x10 ISA 100x65x7
75 75 75 75 75 75 95 95 95 95 75 75 75 115 115 115 115 100 100 100 150 150 150 150 20 20 20 30 30 40 50 50 50 50 50 50 50 50 50 40 40 40 40 60 60 60 65 65 65 65 50 50 50 50 65
100 100 100 125 125 125 125 125 125 125 150 150 150 150 150 150 150 200 200 200 200 200 200 200 40 40 40 60 60 60 65 65 65 65 70 70 70 70 75 80 80 80 80 80 80 80 90 90 90 90 100 100 100 100 100
8 10 12 6 8 10 6 8 10 12 8 10 12 8 10 12 16 10 12 16 10 12 16 20 3 4 5 5 6 7 5 6 7 8 5 6 7 8 7 5 6 7 8 6 7 8 6 7 8 10 6 7 8 10 7
8 10 12 6 8 10 6 8 10 12 8 10 12 8 10 12 16 10 12 16 10 12 16 20 3 4 5 5 6 7 5 6 7 8 5 6 7 8 7 5 6 7 8 6 7 8 6 7 8 10 6 7 8 10 7
8.5 8.5 8.5 8.5 8.5 8.5 9 9 9 9 10 10 10 11 11 11 11 12 12 12 13.5 13.5 13.5 13.5 4 4 4 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10
ISA 120x80x8 ISA 120x80x10 ISA 120x80x12 ISA 125x75x12 ISA 135x65x8 ISA 135x65x10 ISA 135x65x12 ISA 150x75x9 ISA 150x75x15 ISA 150x90x10 ISA 150x90x12 ISA 150x90x15 ISA 200x100x15 ISA 200x150x15 ISA 200x150x18
80 80 80 75 65 65 65 75 75 90 90 90 100 150 150
ISMC FRONT TO FRONT []ISMC 75 []ISMC 100 []ISMC 125 []ISMC 150 []ISMC 175 []ISMC 200 []ISMC 225 []ISMC 250 []ISMC 300 []ISMC 350 []ISMC 400
2 14.28 19.12 26.20 33.60 39.20 44.60 52.20 61.20 72.60 85.40 100.20
3
ISMC BACK TO BACK ISMC 75 ISMC 100 ISMC 125 ISMC 150 ISMC 175 ISMC 200 ISMC 225 ISMC 250 ISMC 300 ISMC 350 ISMC 400
2 14.28 19.12 26.20 33.60 39.20 44.60 52.20 61.20 72.60 85.40 100.20
3
][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][
ISMB + PLATES - IS ISMB 400 + (200 x 10 Thk. T&B Pl.) ISMB 400 + (200 x 12 Thk. T&B Pl.) ISMB 400 + (200 x 16 Thk. T&B Pl.) ISMB 400 + (200 x 20 Thk. T&B Pl.) ISMB 400 + (200 x 25 Thk. T&B Pl.) ISMB 400 + (200 x 32 Thk. T&B Pl.) ISMB 450 + (200 x 10 Thk. T&B Pl.) ISMB 450 + (200 x 12 Thk. T&B Pl.) ISMB 450 + (200 x 16 Thk. T&B Pl.) ISMB 450 + (200 x 20 Thk. T&B Pl.) ISMB 450 + (200 x 25 Thk. T&B Pl.)
2 92.90 99.18 111.74 124.30 140.00 162.00 103.80 110.10 122.70 135.20 150.90
120 120 120 125 135 135 135 150 150 150 150 150 200 200 200 4
75 100 125 150 175 200 225 250 300 350 400
5 40 50 65 75 75 75 80 80 90 100 100
4 75 100 125 150 175 200 225 250 300 350 400
3
6
5
7
6
7 7.5 7.7 8.1 9 10.2 11.4 12.4 14.1 13.6 13.5 15.3
6 8.9 8.9 8.9 8.9 8.9 8.9 9.4 9.4 9.4 9.4 9.4
11 11 11 11 11 11 11 11 11 12 12 12 15 15 15
7.5 7.7 8.1 9 10.2 11.4 12.4 14.1 13.6 13.5 15.3
4.8 5 5.3 5.7 6 6.2 6.5 7.2 7.8 8.3 8.8 5
200 200 200 200 200 200 200 200 200 200 200
8 10 12 12 8 10 12 9 15 10 12 15 15 15 18
4.8 5 5.3 5.7 6 6.2 6.5 7.2 7.8 8.3 8.8
40 50 65 75 75 75 80 80 90 100 100 4
420 424 432 440 450 464 470 474 482 490 500
8 10 12 12 8 10 12 9 15 10 12 15 15 15 18
7 26 28 32 36 41 48 23 25 29 33 38
14 14 14 14 14 14 15 15 15 15 15
ISMB 450 + (200 x 32 Thk. T&B Pl.) 172.90 ISMB 450 + (200 x 40 Thk. T&B Pl) 198.00 ISMB 500 + (250 x 10 Thk. T&B Pl.) 126.20 ISMB 500 + (250 x 12 Thk. T&B Pl.) 134.00 ISMB 500 + (250 x 16 Thk. T&B Pl.) 149.70 ISMB 500 + (250 x 20 Thk. T&B Pl.) 165.40 ISMB 500 + (250 x 25 Thk. T&B Pl.) 185.10 ISMB 500 + (250 x 32 Thk. T&B Pl.) 212.50 ISMB 500 + (250 x 40 Thk. T&B Pl.) 243.90 ISMB 550 + (250 x 10 Thk. T&B Pl.) 143.00 ISMB 550 + (250 x 12 Thk. T&B Pl.) 150.80 ISMB 550 + (250 x 16 Thk. T&B Pl.) 166.50 ISMB 550 + (250 x 20 Thk. T&B Pl.) 182.20 ISMB 550 + (250 x 25 Thk. T&B Pl.) 201.80 ISMB 550 + (250 x 32 Thk. T&B Pl.) 229.30 ISMB 550 + (250 x 40 Thk. T&B Pl.) 260.70 ISMB 600 + (320 x 10 Thk. T&B Pl.) 172.90 ISMB 600 + (320 x 12 Thk. T&B Pl.) 182.90 ISMB 600 + (320 x 16 Thk. T&B Pl.) 203.00 ISMB 600 + (320 x 20 Thk. T&B Pl.) 223.10 ISMB 600 + (320 x 25 Thk. T&B Pl.) 248.20 ISMB 600 + (320 x 32 Thk. T&B Pl.) 283.40 ISMB 600 + (320 x 40 Thk. T&B Pl.) 323.60 ISMB + PLATES-DIN 2 ISMB 150 + (180 x 10 Thk. T&B Pl.) 43.16 ISMB 200 + (220 x 10 Thk. T&B Pl.) 59.94 ISMB 250 + (280 x 10 Thk. T&B Pl.) 81.26 ISMB 300 + (300 x 10 Thk. T&B Pl.) 91.30 ISMB 350 + (300 x 10 Thk. T&B Pl.) 99.50 ISMB 400 + (300 x 20 Thk. T&B Pl.) 155.70 ISMB 450 + (300 x 20 Thk. T&B Pl.) 166.60 ISMB 500 + (300 x 20 Thk. T&B Pl.) 181.10 ISMB 550 + (300 x 20 Thk. T&B Pl.) 197.90 ISMB 600 + (300 x 20 Thk. T&B Pl.) 216.80 WELDED H 2 H 700 x 300 x 30 x 15 216.66 H 800 x 300 x 30 x 15 228.44 H 900 x 300 x 30 x 20 273.18 H 1000 x 300 x 30 x 20 288.88 H 1200 x 300 x 30 x 20 320.28 WELDED BOX 2 Box 300 x 300 x 15 134.24 Box 400 x 400 x 20 238.64 Box 450 x 450 x 25 333.63 Box 500 x 500 x 30 442.74 WELDED WIDE FLANGE H 2 H 600 x 600 x 40 x 20 458.44 H 700 x 700 x 40 x 20 536.94 H 800 x 800 x 50 x 30 792.85 H 900 x 900 x 50 x 30 894.90 H 1000 x 1000 x 60 x 40 1218.32 HEA SECTION 2 HE 600 A 178.00 HE 700 A 204.00
514 530 520 524 532 540 550 564 580 570 574 582 590 600 614 530 620 624 632 640 650 664 680 3
200 200 250 250 250 250 250 250 250 250 250 250 250 250 250 250 320 320 320 320 320 320 320 4
150 200 250 300 350 400 450 500 550 600 3 700 800 900 1000 1200 3 300 400 450 500 3 600 700 800 900 1000 3 590 690
9.4 9.4 10.2 10.2 10.2 10.2 10.2 10.2 10.2 11.2 11.2 11.2 11.2 11.2 11.2 11.2 12 12 12 12 12 12 12 5
180 220 280 300 300 300 300 300 300 300 4
6 5 5.7 6.9 7.7 8.1 8.9 9.4 10.2 11.2 12
5 300 300 300 300 300
4
600 700 800 900 1000 4 300 300
7
6
5
7
6
7 15 20 25 30
6 20 20 30 30 40
5
7 40 40 50 50 60
6 13 14.5
9 11 13 14 14 14 15 17 18 20
30 30 30 30 30
15 20 25 30 5
15 15 17 17 17 17 17 17 17 18 18 18 18 18 18 18 20 20 20 20 20 20 20
18 20 22.5 23.1 24.2 36 37.4 37.2 39.3 40.3
15 15 20 20 20
300 400 450 500 4
45 53 22.4 24.4 28.4 32.4 37.4 44.4 52.4 24.7 26.7 30.7 34.7 39.7 46.7 54.7 23.6 25.6 29.6 33.6 38.6 45.6 53.6
7 25 27
27 27
HE 800 A HE 900 A
UC SECTIONS UC 152 x 152 x 30 UC 203 x 203 x 46 UC 203 x 203 x 60 UC 254 x 254 x 89 UC 254 x 254 x 107 UC 305 x 305 x 97 UC 305 x 305 x 137 UC 356 x 368 x 129 UC 356 x 368 x 153 BUILT-UP SECTION PLAAAAATE
224.00 252.00 M 2 30 46 60 89 107 97 137 129 153 2 458.44 123.976 0 0 0 0
790 890
300 300
d 3 157.6 203.2 209.6 260.3 266.7 307.9 320.5 355.6 362 3 600 612
bf 4 152.9 203.6 205.8 256.3 258.8 305.3 309.2 368.6 370.5 4 600 229
15 16 tw 5
28 30
5
r1
tf 6
6.5 7.2 9.4 10.3 12.8 9.9 13.8 10.4 12.3
7 9.4 11 14.2 17.3 20.5 15.4 21.7 17.5 20.7
6 20 11.9
30 30
7.6 10.2 10.2 12.7 12.7 15.2 15.2 15.2 15.2 7
40 19.6
Toe Radius r2
8
cm
cm
9
10
11
12
13 1.05 1.51 1.57 1.76 2.11 2.34 2.65 2.86 2.84 2.82 3.01 3.52 3.73 4.12
2.4 2.4
mm 8
183 445 718 1260 2120 3440 5130 8990 13600 20500 30400 45200 64900 91800
12.9 38.5 46.8 76.7 137 218 335 486 538 622 834 1370 1830 2650
10 11 Second Moment of Area Axis z-z Axis y-y Iz Iy cm4 10
cm4 11
4 5.16 6.13 7.13 8.29 9.31 10.4 12.4 14.3 16.2 18.2 20.2 22.2 24.2
Elastic Modulus Axis z-z Axis y-y Sz Sy cm3
12
13 Radius of Gyration Axis z-z Axis y-y rz ry
14 36.6 71.2 95.7 144 212 306 410 599 779 1020 1350 1810 2360 3060
cm3
Plastic/Elastic Modulus Axis z-z Sz cm3
15 5.16 11 12.5 18 27.4 39.7 53.5 69.5 76.8 88.9 111 152 193 252
14
15 Elastic Modulus Axis z-z Axis y-y Sz Sy
14 36.6 71.2 95.7 144 212 306 410 599 779 1020 1350 1810 2360 3060 14 Elastic Modulus Axis z-z Sz
cm 13 1.19
cm3 14 20.9
cm3 15 4.81
cm3 14 20.9
78.5
12.9
cm 12 2.94
64
192
26.7
3.97
1.48
33.5
7.71
33.5
2.4
85.4
425
61.1
5.05
1.91
68.1
13.4
68.1
2.4
106.7
788
103
6.08
2.2
105
19.5
105
3.2
128.4
1240
122
7.04
2.21
141
23
141
3.2
150.2
1830
141
8.02
2.22
181
26.4
181
3.2
170.9
2710
188
9.02
2.37
241
33
241
3.2
192.5
3880
211
9.92
2.37
307
38.5
307
3.2
240.7
6420
313
11.8
2.6
428
47.1
428
4.8
288.1
10000
434
13.6
2.82
576
57.3
576
4.8
332.8
15200
508
15.4
2.82
760
67
760
8 Toe Radius
mm
cm4
9 Depth between fillets h mm 9 41.4
Toe r2
Radius of Gyration Axis z-z Axis y-y rz ry
cm4
65 89.2 113.9 134.5 152.7 173.3 194.1 241.5 288 334.4 379.2 424.1 467.5 509.7
8
Second Moment of Area Axis z-z Axis y-y Iz Iy
mm 4.5 4.5 4.5 5 5.5 6 6.5 7 7 7 7.5 8.5 9 10
Radius of
r2
Depth between fillets h
9
10 11 Second Moment of Area Axis Axis Iz Iy
12
13 Radius of Gyration Axis Axis rz ry
15 Elastic Modulus Axis Axis Sz Sy
Elastic Modulus Axis Sz
cm4
cm
cm3
cm3
cm
14
cm3
14
8 2.5 2.5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3.5 3.5 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5
10 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A
11 0.4 0.5 0.8 1 1.2 1.4 1.8 2.1 2.3 2.9 3.5 4.1 3.4 4.5 5.4 6.3 5 6.5 7.9 9.2 6.9 9.1 11 12.9 14.6 16.3 14.7 17.3 22 26.3 15.8 19.2 22.6 29 34.8 24.7 29.1 37.4 45 31.1 36.8 42.3 47.4 57.2 38.7 45.7 59 71.4 56 72.5 87.7 102 80.1 104
12 0.379 0.48 0.764 0.981 1.18 1.38 1.78 2.14 2.25 2.92 3.53 4.09 3.44 4.47 5.42 6.31 4.98 6.49 7.9 9.22 6.94 9.05 11 12.9 14.6 16.3 14.7 17.3 22 26.3 15.8 19.2 22.6 29 34.8 24.7 29.1 37.4 45 31.1 36.8 42.3 47.4 57.2 38.7 45.7 59 71.4 56.1 72.5 87.7 102 81 105
13 0.58 0.58 0.73 0.73 0.72 0.89 0.89 0.88 1.05 1.05 1.04 1.03 1.21 1.21 1.2 1.19 1.38 1.37 1.36 1.35 1.53 1.53 1.52 1.51 1.49 1.48 1.67 1.66 1.64 1.62 1.83 1.82 1.82 1.8 1.78 1.99 1.98 1.96 1.94 2.15 2.14 2.12 2.1 2.1 2.31 2.3 2.28 2.26 2.46 2.44 2.41 2.39 2.77 2.75
14 0.58 0.58 0.73 0.73 0.72 0.89 0.89 0.88 1.05 1.05 1.04 1.03 1.21 1.21 1.2 1.19 1.38 1.37 1.36 1.35 1.53 1.53 1.52 1.51 1.49 1.48 1.67 1.66 1.64 1.62 1.83 1.82 1.82 1.8 1.78 1.99 1.98 1.96 1.94 2.15 2.14 2.12 2.12 2.1 2.31 2.3 2.28 2.26 2.46 2.44 2.41 2.39 2.77 2.75
15 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16
16 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16
15 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16
4.5 4.5 4.5 4.5 4.5 4.5 4.5 6 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 8 4.8 8 4.8 9 9 9 4.8 4.8 4.8 9 4.8 8 Toe Radius
N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A 9
r2 mm 8
10
127 148 111 128 145 177 207 249 197 240 281 357 255 313 368 445 331 368 405 476 609 634 746 898 959 1050 1160 1590 1870 2040 1830 2370 2880 3330 3470
128 149 112 130 146 178 208 249 197 240 281 357 259 316 371 448 331 369 405 476 609 633 746 898 959 1050 1155 1589 1866 2043 1826 2366 2875 3331 3470
2.73 2.71 3.09 3.06 3.07 3.05 3.03 2.98 3.4 3.37 3.35 3.3 3.69 3.67 3.65 3.62 4.04 4.03 4.02 3.99 3.94 4.66 4.63 4.57 4.58 4.54 4.53 5.52 5.49 5.47 6.24 6.19 6.14 6.06 6.07
2.73 2.71 3.09 3.06 3.07 3.05 3.03 2.98 3.4 3.37 3.35 3.3 3.69 3.67 3.65 3.62 4.04 4.03 4.02 3.99 3.94 4.66 4.63 4.57 4.58 4.54 4.53 5.52 5.49 5.47 6.24 6.19 6.14 6.06 6.07
19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246
13 Radius of Gyration Axis Axis rz ry
15 Elastic Modulus Axis Axis Sz Sy
Elastic Modulus Axis Sz
cm4 11
cm 13
cm3 15
cm3 15
cm 14
N/A
0.8
3.42
0.60
1.24
N/A N/A N/A N/A N/A N/A N/A N/A N/A
1 1.6 2 2.4 2.8 3.6 4.2 4.6 5.8
4.66 5.66 7.71 9.85 8.88 12.04 15.45 13.04 17.81
0.59 0.75 0.74 0.73 0.90 0.89 0.87 1.06 1.04
1.27 1.42 1.45 1.48 1.60 1.63 1.67 1.79 1.83
14
19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246
10 11 Second Moment of Area Axis Axis Iz Iy 12
12
19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246
cm3 16
14
N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A
7 8.2 6.8 9 10.8 12.6 10 13 15.8 18.4 13.8 18.2 22 25.8 29.2 32.6 29.4 34.6 44 52.6 31.6 38.4 45.2 58 69.6 49.4 58.2 74.8 90 62.2 73.6 84.6 94.8 114.4 77.4 91.4 118 142.8 112 145 175.4 204 160.2 208 254 296 222 256 290 354 414 498 394 480 562
22.57 27.45 18.56 25.05 31.67 38.46 25.22 34.23 43.23 52.40 33.42 45.24 56.95 69.00 81.16 93.07 72.83 88.25 119.62 151.17 73.14 91.56 110.81 150.34 191.10 113.81 137.60 186.30 236.42 139.54 169.57 199.30 229.43 290.16 169.73 204.91 276.91 349.96 245.65 332.22 418.98 507.54 341.05 460.06 582.55 701.42 459.14 538.83 619.33 782.14 944.68 1189.38 812.95 1023.88 1238.14
1.03 1.03 1.21 1.21 1.20 1.19 1.38 1.37 1.36 1.35 1.53 1.53 1.52 1.51 1.49 1.48 1.67 1.66 1.64 1.62 1.83 1.83 1.82 1.80 1.78 1.99 1.98 1.96 1.94 2.14 2.14 2.12 2.11 2.10 2.31 2.30 2.27 2.26 2.46 2.44 2.41 2.39 2.76 2.75 2.73 2.71 3.08 3.06 3.07 3.04 3.03 2.99 3.39 3.37 3.35
1.86 1.89 1.99 2.02 2.05 2.07 2.19 2.22 2.25 2.27 2.38 2.41 2.44 2.46 2.49 2.51 2.63 2.65 2.70 2.75 2.79 2.82 2.85 2.90 2.95 3.02 3.04 3.09 3.14 3.21 3.24 3.26 3.29 3.34 3.42 3.44 3.48 3.54 3.64 3.69 3.72 3.78 4.03 4.08 4.13 4.17 4.43 4.43 4.48 4.52 4.57 4.62 4.88 4.93 4.97
N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A 8
9 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A
714 510 626 736 890 662 736 810 952 1218 1268 1492 1796 1918 2100 2320 3180 3740 4080 3660 4740 5760 6660 6940 10
1671.26 1041.13 1308.45 1581.59 1989.45 1311.60 1489.23 1649.75 1991.86 2681.13 2491.02 3003.41 3736.38 4032.64 4519.12 5075.22 6307.17 7614.37 8493.04 6906.12 9271.04 11623.63 13945.44 14648.67 11
3.46
3.42
4.70 5.73 7.75 9.89 8.92 12.08 15.37 13.14 17.77 22.51 27.47 18.48 25.11 31.63 38.44 25.26 34.25 43.23 52.36 33.34 45.34 56.95 69.00 81.16 93.07 72.83 88.25
4.66 5.66 7.71 9.85 8.88 12.04 15.45 13.04 17.81 22.57 27.45 18.56 25.05 31.67 38.46 25.22 34.23 43.23 52.40 33.42 45.24 56.95 69.00 81.16 93.07 72.83 88.25
3.30 3.68 3.67 3.65 3.62 4.04 4.01 4.02 3.99 3.94 4.66 4.63 4.57 4.58 4.54 4.54 5.52 5.50 5.47 6.25 6.19 6.14 6.06 6.07
5.05 5.26 5.30 5.35 5.41 5.68 5.70 5.73 5.77 5.85 6.53 6.57 6.59 6.64 6.66 6.72 7.78 7.84 7.89 8.58 8.66 8.72 8.77 8.82
12
13
1.94 1.93 1.92 1.90
1.94 1.93 1.92 1.90
2.11 2.10
2.11 2.10
14
15
14
N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A
119.62 151.17 73.14 91.56 110.81 150.34 191.10 113.81 137.60 186.30 236.42 139.54 169.57 199.30 229.43 290.16 169.73 204.91 276.91 349.96 245.45 332.22 418.98 507.54 339.25 458.06 580.55 699.42 457.14 534.83 617.33 780.14 942.68 1189.38 812.95 1023.88 1238.14 1671.26 1033.13 1302.45 1575.59 1983.45 1311.60 1487.23 1649.75 1991.86 2681.13 2493.02 3003.41 3736.38 4032.64 4519.12 5085.22 6309.17 7622.37
119.62 151.17 73.14 91.56 110.81 150.34 191.10 113.81 137.60 186.30 236.42 139.54 169.57 199.30 229.43 290.16 169.73 204.91 276.91 349.96 245.65 332.22 418.98 507.54 341.05 460.06 582.55 701.42 459.14 538.83 619.33 782.14 944.68 1189.38 812.95 1023.88 1238.14 1671.26 1041.13 1308.45 1581.59 1989.45 1311.60 1489.23 1649.75 1991.86 2681.13 2491.02 3003.41 3736.38 4032.64 4519.12 5075.22 6307.17 7614.37
2.07 2.03
2.07 2.03
2.31 2.29 2.27 2.23 2.51 2.50 2.47 2.44 2.71 2.70
2.31 2.29 2.27 2.23 2.51 2.50 2.47 2.44 2.71 2.70
2.67 2.64 2.92 2.91 2.88 2.84 3.11 3.08 3.04 3.01 3.50 3.47 3.44 3.41 3.91
2.67 2.64 2.92 2.91 2.88 2.84 3.11 3.08 3.04 3.01 3.50 3.47 3.44 3.41 3.91
3.88 3.85 3.82
3.88 3.85 3.82
4.28 4.25 4.22
4.28 4.25 4.22
5.10
5.10
5.07 5.03
5.07 5.03
5.86 5.83 5.78
5.86 5.83 5.78
5.73
5.73
8 Toe Radius
N/A N/A N/A N/A N/A N/A 9
r2 mm 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 5 5 5 6
10 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A
8487.04 8493.04 6914.12 6906.12 9279.04 9271.04 11633.63 11623.63 13943.44 13945.44 14648.67 14648.67 10 11 Second Moment of Area Axis Axis Iz Iy cm4 11 1.2 1.55 1.86 2.95 3.82 4.62 5.36 4.37 5.68 6.9 8.03 5.89 7.65 9.3 10.9 16.9 19.9 25.4 22.1 26 33.2 27.2 32 41 49.3 34.1 40.3 51.8 62.3 40.6 48 61.9 74.7 70.9 91.8 111 129 97.3 126 154 101
12 0.415 0.532 0.636 0.874 1.13 1.36 1.56 1.55 2 2.42 2.8 1.59 2.06 2.49 2.88 5.97 6.99 8.84 8.63 10.1 12.8 8.8 10.3 13.1 15.6 12.2 14.3 18.3 21.8 12.3 14.4 18.5 22.1 25.4 32.6 39.3 45.4 32.7 42.2 51 48.7
7.84
7.84
7.63
7.63
12
13
14
15
14
Radius of Gyration Axis Axis rz ry
Elastic Modulus Axis Axis Sz Sy
Elastic Modulus Axis Sz
cm 13 0.922 0.916 0.908 1.25 1.25 1.24 1.23 1.42 1.41 1.4 1.39 1.59 1.58 1.57 1.56 1.89 1.88 1.86 2.05 2.04 2.02 2.22 2.21 2.19 2.16 2.38 2.37 2.35 2.33 2.55 2.54 2.52 2.49 2.86 2.84 2.82 2.79 3.19 3.17 3.15 3.15
cm3 15 0.595 0.783 0.959 1.09 1.44 1.77 2.09 1.42 1.87 2.31 2.72 1.75 2.3 2.84 3.35 4.17 4.96 6.46 4.98 5.92 7.71 5.75 6.84 8.92 10.9 6.69 7.96 10.4 12.7 7.52 8.96 11.7 14.4 11.6 15.2 18.7 22 14.3 18.8 23.2 14.4
cm3 15 0.595 0.783 0.959 1.09 1.44 1.77 2.09 1.42 1.87 2.31 2.72 1.75 2.3 2.84 3.35 4.17 4.96 6.46 4.98 5.92 7.71 5.75 6.84 8.92 10.9 6.69 7.96 10.4 12.7 7.52 8.96 11.7 14.4 11.6 15.2 18.7 22 14.3 18.8 23.2 14.4
cm 14 0.541 0.537 0.531 0.683 0.677 0.671 0.663 0.843 0.837 0.829 0.821 0.824 0.819 0.811 0.803 1.12 1.11 1.1 1.28 1.27 1.25 1.26 1.25 1.24 1.22 1.42 1.41 1.4 1.38 1.4 1.39 1.37 1.36 1.71 1.69 1.67 1.65 1.85 1.83 1.81 2.19
cm3 16 0.275 0.363 0.446 0.454 0.598 0.735 0.866 0.669 0.882 1.08 1.28 0.677 0.893 1.1 1.3 1.97 2.33 3.03 2.52 3 3.9 2.55 3.02 3.93 4.79 3.18 3.77 4.92 5.99 3.16 3.77 4.92 6.01 5.52 7.22 8.84 10.4 6.51 8.54 10.5 8.52
6 6 6 6 6 6 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3.5 3.5 3.5 3.5 3.5 4 4 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5
N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A
132 160 188 188 245 300 206 268 328 385 410 502 590 474 582 685 878 1228 1449 1870 1409 1666 2155 2615 2.8 3.59 4.32 15.6 18.2 22.9 23.2 27.2 31.1 34.8 28.5 33.5 38.3 42.9 46.4 38.2 44.9 51.4 57.6 51.4 59 66.3 73.4 84.3 94.9 115 89.7 103 116 141 113
63.3 76.9 89.5 51.6 67.2 81.6 104 135 164 192 71.1 86.3 100 244 299 351 447 215 251 320 689 812 1045 1261 0.47 0.596 0.71 2.6 3.02 8.07 11.9 14 15.9 17.7 12.2 14.3 16.2 18.1 16.5 6.49 7.59 8.63 9.61 24.8 28.4 31.8 32.3 37 41.5 49.9 15.3 17.4 19.5 23.4 37.8
3.14 3.12 3.1 4.01 4 3.97 3.99 3.97 3.95 3.92 4.85 4.82 4.79 4.78 4.76 4.74 4.69 6.48 6.46 6.4 6.41 6.39 6.33 6.28 1.27 1.26 1.25 1.9 1.89 1.87 2.05 2.03 2.02 2.01 2.22 2.21 2.2 2.18 2.36 2.56 2.55 2.54 2.53 2.52 2.51 2.5 2.85 2.84 2.83 2.81 3.21 3.2 3.18 3.16 3.18
2.18 2.16 2.14 2.11 2.09 2.07 2.83 2.81 2.79 2.77 2.02 2 1.98 3.43 3.41 3.39 3.34 2.71 2.69 2.65 4.48 4.46 4.41 4.36 0.522 0.514 0.507 0.779 0.771 1.11 1.47 1.46 1.45 1.44 1.45 1.44 1.43 1.42 1.41 1.06 1.05 1.04 1.03 1.75 1.74 1.73 1.89 1.88 1.87 1.85 1.32 1.31 1.31 1.29 1.84
19.1 23.6 27.9 22.2 29.4 36.3 23.4 30.9 38.1 45.1 42 51.9 61.6 45.1 55.8 66.2 86.2 94.3 112 146 101 120 157 193 1.09 1.42 1.73 4.04 4.78 5.79 5.14 6.1 7.03 7.93 5.94 7.04 8.12 9.17 9.24 7.35 8.73 10.1 11.4 9.29 10.7 12.2 11.8 13.7 15.5 19 13.8 16 18.1 22.2 16.7
11.2 13.8 16.3 8.74 11.5 14.2 14.3 18.8 23.1 27.3 11.9 14.7 17.3 28 34.5 40.8 53 26.9 31.9 41.3 60.2 71.4 93.2 114 0.301 0.393 0.48 1.12 1.32 2.74 3.19 3.77 4.34 4.89 3.21 3.81 4.38 4.93 4.39 2.06 2.44 2.81 3.16 5.49 6.34 7.16 6.53 7.55 8.54 10.4 3.85 4.46 5.04 6.17 7.59
19.1 23.6 27.9 22.2 29.4 36.3 23.4 30.9 38.1 45.1 42 51.9 61.6 45.1 55.8 66.2 86.2 94.3 112 146 101 120 157 193 1.09 1.42 1.73 4.04 4.78 5.79 5.14 6.1 7.03 7.93 5.94 7.04 8.12 9.17 9.24 7.35 8.73 10.1 11.4 9.29 10.7 12.2 11.8 13.7 15.5 19 13.8 16 18.1 22.2 16.7
4.5 4.5 4.5 4.5 4.8 4.8 4.8 4.8 4.8 6 6 6 8 8 8 8
N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A 9 41 63.7 85.4 106.7 128.4 150.2 170.9 192.5 240.7 288.2 332.8
8
9
8 7 7 7 7 7 7 7.5 7.5 7.5 7.5 7.5
227 277 324 356 293 357 419 458 715 533 627 761 1755 2019 2372 10 157 384 850 1576 2480 3660 5420 7760 12840 20000 30400 10
81.6 98.9 115 96.2 45.5 55.1 63.9 78.8 120 146 171 205 298 977 1144
3.82 3.8 3.78 3.95 4.34 4.32 4.29 4.83 4.75 4.8 4.77 4.74 6.39 6.33 6.29
2.29 2.27 2.25 2.06 1.71 1.7 1.68 2.01 1.95 2.51 2.49 2.46 2.63 4.4 4.37
27.8 34.3 40.6 43.4 33.6 41.4 49 47.1 75.5 53.3 63.3 77.7 137 146 174
13.3 16.4 19.3 17 8.84 10.9 12.8 13.3 21.1 21 24.8 30.4 38.3 86.7 103
27.8 34.3 40.6 43.4 33.6 41.4 49 47.1 75.5 53.3 63.3 77.7 137 146 174
157 346 817 1403 1648 1895 2532 2965 4721 7086 8347
12 2.94 3.97 5.04 6.08 7.06 8.01 9.02 9.97 11.78 13.56 15.44
13 2.93 3.76 4.94 5.74 5.75 5.77 6.17 6.17 7.14 8.07 8.09
14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20
15 37.70 66.70 122.00 182.50 214.90 251.20 314.90 368.90 516.20 699.50 824.10
14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20
11
41 63.7 85.4 106.7 128.4 150.2 170.9 192.5 240.7 288.2 332.8
157 384 850 1576 2480 3660 5420 7760 12840 20000 30400
11 86.09 154.94 321.05 516.55 604.36 691.40 901.88 1029.16 1378.14 1808.42 2103.97
12 2.94 3.97 5.04 6.08 7.06 8.01 9.02 9.97 11.78 13.56 15.44
13 2.17 2.52 3.10 3.48 3.48 3.48 3.68 3.63 3.86 4.08 4.06
14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20
15 13.70 21.30 37.20 54.70 63.70 72.90 90.50 105.90 125.60 150.00 174.70
14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20
9 334.4 334.4 334.4 334.4 334.4 334.4 379.20 379.20 379.20 379.20 379.20
10 37271.73 40833.44 48161.00 55765.07 65666.73 80287.31 51554.10 56009.80 65149.40 74597.50 86849.10
11 1955.43 2222.10 2755.43 3288.77 3955.43 4888.77 2167.30 2434.00 2967.30 3500.70 4167.30
12 17.74 17.97 18.39 18.76 19.18 19.72 19.74 19.98 20.42 20.81 21.25
13 4.06 4.19 4.40 4.56 4.71 4.87 4.05 4.17 4.36 4.51 4.66
14 1774.84 1926.11 2229.68 2534.78 2918.52 3460.66 2193.79 2363.28 2703.29 3044.80 3473.96
15 195.54 222.21 275.54 328.88 395.54 488.88 216.73 243.40 296.73 350.07 416.73
14 1774.84 1926.11 2229.68 2534.78 2918.52 3460.66 2193.79 2363.28 2703.29 3044.80 3473.96
7.5 7.5 8.5 8.5 8.5 8.5 8.5 8.5 8.5 9 9 9 9 9 9 9 10 10 10 10 10 10 10 8 4.5 5.5 6.5 7 7 7 7.5 8.5 9 10 8
8
8
8
379.20 379.20 424.10 424.10 424.10 424.10 424.10 424.10 424.10 467.50 467.50 467.50 467.50 467.50 467.50 467.50 509.70 509.70 509.70 509.70 509.70 509.70 509.70 9 113.4 154.2 194.1 240.2 288 334.4 379.2 424.1 467.5 510.7 9 640.0 740.0 840.0 940.0 1140.0 9 270.0 360.0 400.0 440.0 9 520.0 620.0 700.0 800.0 880.0 9 486.0 582.0
104843.70 5100.70 126644.10 6167.30 77735.00 3974.00 84547.10 4494.80 98486.60 5536.50 112851.60 6578.10 131416.20 7880.20 158564.40 9703.10 191285.00 11786.50 104097.80 4438.00 112277.40 4958.80 128981.90 6000.50 146151.90 7042.10 168279.00 8344.20 200519.70 10167.10 239210.30 12250.50 151354.30 8112.30 163734.70 9204.60 188975.60 11389.10 214863.70 13573.70 248146.30 16304.30 296492.90 20127.30 354298.30 24496.30 10 11 3033.40 1024.60 7079.07 1924.67 14600.27 3993.17 23023.60 4953.90 33075.30 5037.70 73418.40 9622.10 96700.80 9834.00 126378.30 10369.80 162403.60 10833.80 207173.00 11651.00 10 11 234908.00 13518.00 317593.00 13520.81 439524.00 13556.00 561970.67 13562.67 863064.00 13576.00 10 11 23213.25 23213.25 73365.33 73365.33 128385.40 128385.40 208492.00 208492.00 10 11 400394.67 144034.67 650308.00 228708.00 1212416.60 426824.17 1755500.00 607680.00 2881577.30 1000469.33 10 11 141200.00 11270.00 215300.00 12180.00
21.82 22.41 21.99 22.25 22.72 23.14 23.61 24.20 24.81 23.91 24.18 24.66 25.09 25.58 26.20 26.84 26.22 26.51 27.03 27.50 28.01 28.66 29.32 12 7.43 9.64 11.88 14.07 16.16 19.23 21.34 23.40 25.38 27.38 12 29.17 33.04 35.54 39.08 46.00 12 11.65 15.53 17.38 19.23 12 26.18 30.83 34.65 39.24 43.09 12 24.97 28.75
4.81 4.94 4.97 5.13 5.39 5.59 5.78 5.99 6.16 4.94 5.08 5.32 5.51 5.70 5.90 6.07 6.07 6.29 6.64 6.91 7.18 7.47 7.71 13 4.13 5.02 6.21 6.53 6.31 6.96 6.81 6.71 6.56 6.50 13 7.00 6.82 6.24 6.07 5.77 13 11.65 15.53 17.38 19.23 13 15.70 18.29 20.56 23.09 25.39 13 7.05 6.84
4079.52 510.07 4079.52 4779.02 616.73 4779.02 2989.81 317.92 2989.81 3226.99 359.58 3226.99 3702.50 442.92 3702.50 4179.69 526.25 4179.69 4778.77 630.42 4778.77 5622.85 776.25 5622.85 6596.03 942.92 6596.03 3652.55 355.04 3652.55 3912.10 396.70 3912.10 4432.37 480.04 4432.37 4954.30 563.37 4954.30 5609.30 667.54 5609.30 6531.59 813.37 6531.59 9026.80 980.04 9026.80 4882.40 507.02 4882.40 5247.91 575.29 5247.91 5980.24 711.82 5980.24 6714.49 848.36 6714.49 7635.27 1019.02 7635.27 8930.51 1257.96 8930.51 10420.54 1531.02 10420.54 14 15 14 404.45 113.84 404.45 707.91 174.97 707.91 1168.02 285.23 1168.02 1534.91 330.26 1534.91 1890.02 335.85 1890.02 3670.92 641.47 3670.92 4297.81 655.60 4297.81 5055.13 691.32 5055.13 5905.59 722.25 5905.59 6905.77 776.73 6905.77 14 15 14 6711.66 901.20 6711.66 7939.83 901.39 7939.83 9767.20 903.73 9767.20 11239.41 904.18 11239.41 14384.40 905.07 14384.40 14 15 14 1547.55 1547.55 1547.55 3668.27 3668.27 3668.27 5706.02 5706.02 5706.02 8339.68 8339.68 8339.68 14 15 14 13346.49 4801.16 13346.49 18580.23 6534.51 18580.23 30310.42 10670.60 30310.42 39011.11 13504.00 39011.11 57631.55 20009.39 57631.55 14 15 14 4787.00 751.40 4787.00 6241.00 811.90 6241.00
674.0 770.0 r2 8
8
h 9 123.6 160.8 160.8 200.3 200.3 246.7 246.7 290.2 290.2 9 520 572.8 0 0 0 0
303400.00 422100.00 Iz 10 1748.00 4568.00 6125.00 14270.00 17510.00 22250.00 32810.00 40250.00 48590.00 10 400394.67 97423.14 0.00 0.00 0.00 0.00
12640.00 13550.00 Iy 11 560.50 1548.00 2065.00 4857.00 5928.00 7308.00 10700.00 14610.00 17550.00 11 144034.67 3930.98 0.00 0.00 0.00 0.00
32.58 36.29 rz 12 6.76 8.82 8.96 11.22 11.33 13.42 13.72 15.65 15.79 12 26.18 24.84 #DIV/0! #DIV/0! #DIV/0! #DIV/0!
6.65 6.50 ry
7682.00 9485.00 Sz
13 14 221.80 3.83 449.60 5.13 584.00 5.20 6.55 1096.00 6.59 1313.00 7.69 1445.00 7.83 2048.00 9.43 2264.00 9.49 2684.00 13 14 15.70 13346.49 4.99 3183.76 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
842.60 903.20 Sy
7682.00 9485.00 Sz
15 14 73.31 221.80 152.10 449.60 200.60 584.00 379.00 1096.00 458.10 1313.00 478.70 1445.00 692.10 2048.00 792.80 2264.00 947.50 2684.00 15 14 4801.16 13346.49 343.32 3183.76 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
Plastic/Elastic Modulus Axis y-y Sy cm3
Area of Section A cm2
15 5.16 11 12.5 18 27.4 39.7 53.5 69.5 76.8 88.9 111 152 193 252 15 Elastic Modulus Axis y-y Sy cm3 15 4.81
18 11.4 17 19.1 25 30.8 39.7 47.5 58.6 66.7 78.4 92.2 111 132 156 18 Area of Section A
cm
19 1.47 2.88 3.15 5.21 7.84 14.00 18.88 25.35 32.67 47.25 64.66 78.14 115.91 150.51
20 1.05 1.51 1.57 1.76 2.11 2.34 2.65 2.86 2.84 2.82 3.01 3.52 3.73 4.12
19 Torsional Constant Inertia J
9.1
7.71
12.2
2.05
13.4
16.7
3.38
19.5
21.3
5.27
23
24.9
7.26
26.4
28.5
9.8
33
33.3
13.25
38.5
39
18.78
47.1
46.3
21.37
57.3
54.4
67
63.8
cm
3
18 Area of Section
20
2
21 I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION 21
Axis rv cm 20 21 1.19 CHANNEL SECTION 1.48 CHANNEL SECTION
22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22
22 Rolled Section Rolled Section
1.91 CHANNEL SECTION 2.2 CHANNEL SECTION
Rolled Section
2.21 CHANNEL SECTION 2.22 CHANNEL SECTION
Rolled Section
2.37 CHANNEL SECTION 2.37 CHANNEL SECTION
Rolled Section Rolled Section
25.58
2.6 CHANNEL SECTION 2.82 CHANNEL SECTION
35.44
2.82 CHANNEL SECTION
Rolled Section
19
20
Axis
rv
A cm
Axis rv
cm4
cm4 19 1.43
15 Elastic Modulus Axis Sy
cm2 18
Torsional Constant Inertia J
cm
21
Rolled Section Rolled Section Rolled Section Rolled Section
22
16 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16
19 1.12 1.45 1.41 1.84 2.25 1.73 2.26 2.77 2.03 2.66 3.27 3.86 2.34 3.07 3.78 4.47 2.64 3.47 4.28 5.07 2.95 3.88 4.79 5.68 6.56 7.41 5.27 6.26 8.18 10 4.71 5.75 6.84 8.96 11 6.25 7.44 9.76 12 6.77 8.06 9.4 10.6 13 7.27 8.66 11.4 14 9.29 12.2 15.1 17.8 10.5 13.8
0.03 0.08 0.04 0.10 0.19 0.05 0.12 0.23 0.06 0.14 0.27 0.46 0.07 0.16 0.31 0.53 0.08 0.18 0.35 0.60 0.09 0.20 0.40 0.68 1.06 1.57 0.44 0.75 1.74 3.33 0.25 0.48 0.82 1.91 3.67 0.52 0.89 2.08 4.00 0.56 0.96 1.52 2.25 4.33 0.60 1.04 2.42 4.67 1.11 2.59 5.00 8.52 1.25 2.94
25 0.377 0.377 0.474 0.473 0.473 0.576 0.573 0.572 0.68 0.675 0.672 0.671 0.783 0.777 0.773 0.77 0.886 0.879 0.874 0.871 0.99 0.982 0.976 0.972 0.965 0.963 1.07 1.07 1.06 1.06 1.18 1.17 1.17 1.16 1.16 1.27 1.27 1.26 1.25 1.38 1.37 1.36 1.36 1.35 1.48 1.47 1.46 1.45 1.57 1.56 1.55 1.55 1.78 1.77
26 SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION
Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section
19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246 15 Elastic Modulus Axis Sy 3
cm 16
17.1 20.2 11.7 13.7 15.4 19.1 22.6 27.9 17.1 21.1 25.1 32.8 18.8 23.3 27.6 34 20.3 22.9 25.1 29.9 39.2 29.2 34.8 43 45.7 51 56.2 52.1 61.9 68.3 46.9 61.8 76.4 90.6 94.1 18 Area of Section
5.67 9.68 1.40 2.21 3.28 6.33 10.83 20.81 3.62 7.00 11.98 27.85 3.96 7.67 13.13 25.31 4.30 6.10 8.33 14.28 33.31 9.67 16.59 32.06 38.78 54.82 74.67 38.81 66.48 90.67 22.35 52.43 101.33 173.26 195.31 19
1.76 1.75 1.98 1.98 1.97 1.96 1.95 1.93 2.17 2.16 2.15 2.14 2.38 2.37 2.35 2.34 2.58 2.58 2.57 2.56 2.54 2.98 2.96 2.93 2.94 2.92 2.92 3.54 3.52 3.51 3.99 3.96 3.93 3.9 3.91 20
SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION 21
Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22
Axis
rv
A 2
cm 25
cm 19
2.24 2.9 2.82 3.68 4.5 3.46 4.52 5.54 4.06 5.32
0.07 0.15 0.08 0.20 0.38 0.10 0.24 0.46 0.12 0.28
0.377 0.377 0.474 0.473 0.473 0.576 0.573 0.572 0.68 0.675
DOUBLE ANGLE SECTION
Built-up Section
DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION
Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section
6.54 7.72 4.68 6.14 7.56 8.94 5.28 6.94 8.56 10.14 5.9 7.76 9.58 11.36 13.12 14.82 10.54 12.52 16.36 20 9.42 11.5 13.68 17.92 22 12.5 14.88 19.52 24 13.54 16.12 18.8 21.2 26 14.54 17.32 22.8 28 18.58 24.4 30.2 35.6 21 27.6 34.2 40.4 23.4 27.4 30.8 38.2 45.2 55.8 34.2 42.2 50.2
0.54 0.92 0.14 0.32 0.63 1.07 0.16 0.37 0.71 1.21 0.17 0.41 0.79 1.35 2.13 3.14 0.88 1.50 3.48 6.67 0.49 0.96 1.64 3.82 7.33 1.04 1.79 4.16 8.00 1.13 1.93 3.04 4.51 8.67 1.21 2.07 4.85 9.33 2.22 5.19 10.00 17.05 2.51 5.87 11.33 19.35 2.79 4.41 6.55 12.67 21.66 41.63 7.24 14.00 23.96
0.672 0.671 0.783 0.777 0.773 0.77 0.886 0.879 0.874 0.871 0.99 0.982 0.976 0.972 0.965 0.963 1.07 1.07 1.06 1.06 1.18 1.17 1.17 1.16 1.16 1.27 1.27 1.26 1.25 1.38 1.37 1.36 1.36 1.35 1.48 1.47 1.46 1.45 1.57 1.56 1.55 1.55 1.78 1.77 1.76 1.75 1.98 1.98 1.97 1.96 1.95 1.93 2.17 2.16 2.15
DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION
Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section
15
65.6 37.6 46.6 55.2 68 40.6 45.8 50.2 59.8 78.4 58.4 69.6 86 91.4 102 112.4 104.2 123.8 136.6 93.8 123.6 152.8 181.2 188.2
55.71 7.92 15.33 26.27 50.63 8.60 12.20 16.67 28.57 66.63 19.33 33.18 64.13 77.55 109.64 149.33 77.63 132.97 181.33 44.70 104.86 202.67 346.52 390.63
2.14 2.38 2.37 2.35 2.34 2.58 2.58 2.57 2.56 2.54 2.98 2.96 2.93 2.94 2.92 2.92 3.54 3.52 3.51 3.99 3.96 3.93 3.9 3.91
18 2.24
19 0.07 0.15 0.08 0.20 0.38 0.10 0.24 0.46 0.12 0.28 0.54 0.92 0.14 0.32 0.63 1.07 0.16 0.37 0.71 1.21 0.17 0.41 0.79 1.35 2.13 3.14 0.88 1.50
20 0.377 0.377 0.474 0.473 0.473 0.576 0.573 0.572 0.68 0.675 0.672 0.671 0.783 0.777 0.773 0.77 0.886 0.879 0.874 0.871 0.99 0.982 0.976 0.972 0.965 0.963 1.07 1.07
2.90 2.82 3.68 4.50 3.46 4.52 5.54 4.06 5.32 6.54 7.72 4.68 6.14 7.56 8.94 5.28 6.94 8.56 10.14 5.90 7.76 9.58 11.36 13.12 14.82 10.54 12.52
DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION
Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section
21 STAR ANGLE SECTION
22 Built-up Section
STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION
Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section
16.36 20.00 9.42 11.50 13.68 17.92 22.00 12.50 14.88 19.52 24.00 13.54 16.12 18.80 21.20 26.00 14.54 17.32 22.80 28.00 18.58 24.40 30.20 35.60 21.00 27.60 34.20 40.40 23.40 27.40 30.80 38.20 45.20 55.80 34.20 42.20 50.20 65.60 37.60 46.60 55.20 68.00 40.60 45.80 50.20 59.80 78.40 58.40 69.60 86.00 91.40 102.00 112.40 104.20 123.80
3.48 6.67 0.49 0.96 1.64 3.82 7.33 1.04 1.79 4.16 8.00 1.13 1.93 3.04 4.51 8.67 1.21 2.07 4.85 9.33 2.22 5.19 10.00 17.05 2.51 5.87 11.33 19.35 2.79 4.41 6.55 12.67 21.66 41.63 7.24 14.00 23.96 55.71 7.92 15.33 26.27 50.63 8.60 12.20 16.67 28.57 66.63 19.33 33.18 64.13 77.55 109.64 149.33 77.63 132.97
1.06 1.06 1.18 1.17 1.17 1.16 1.16 1.27 1.27 1.26 1.25 1.38 1.37 1.36 1.36 1.35 1.48 1.47 1.46 1.45 1.57 1.56 1.55 1.55 1.78 1.77 1.76 1.75 1.98 1.98 1.97 1.96 1.95 1.93 2.17 2.16 2.15 2.14 2.38 2.37 2.35 2.34 2.58 2.58 2.57 2.56 2.54 2.98 2.96 2.93 2.94 2.92 2.92 3.54 3.52
STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION
Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section
15 Elastic Modulus Axis Sy 3
cm 16 0.275 0.363 0.446 0.454 0.598 0.735 0.866 0.669 0.882 1.08 1.28 0.677 0.893 1.1 1.3 1.97 2.33 3.03 2.52 3 3.9 2.55 3.02 3.93 4.79 3.18 3.77 4.92 5.99 3.16 3.77 4.92 6.01 5.52 7.22 8.84 10.4 6.51 8.54 10.5 8.52
136.60 181.33 93.80 44.70 123.60 104.86 152.80 202.67 181.20 346.52 188.20 390.63 18 19 Area Torsional of Constant Inertia Section A cm 19 1.41 1.84 2.25 1.88 2.46 3.02 3.56 2.18 2.86 3.52 4.16 2.34 3.07 3.78 4.47 4.76 5.65 7.37 5.26 6.25 8.17 5.52 6.56 8.58 10.5 6.02 7.16 9.38 11.5 6.27 7.46 9.78 12 8.66 11.4 14 16.6 9.57 12.6 15.5 10.1
STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION 21
Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section 22
SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION
Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section
Axis
rv
J 2
3.51 3.99 3.96 3.93 3.9 3.91 20
cm
4
0.04 0.10 0.19 0.06 0.13 0.25 0.42 0.06 0.15 0.29 0.50 0.07 0.16 0.31 0.53 0.40 0.68 1.57 0.44 0.75 1.74 0.46 0.78 1.83 3.50 0.50 0.86 2.00 3.83 0.52 0.89 2.08 4.00 1.04 2.42 4.67 7.95 1.14 2.68 5.17 1.22
cm 25 0.415 0.414 0.415 0.529 0.527 0.525 0.524 0.643 0.639 0.635 0.633 0.644 0.64 0.636 0.633 0.853 0.849 0.845 0.964 0.96 0.953 0.968 0.964 0.957 0.953 1.08 1.08 1.07 1.06 1.08 1.07 1.07 1.06 1.3 1.29 1.28 1.28 1.41 1.4 1.39 1.61
11.2 13.8 16.3 8.74 11.5 14.2 14.3 18.8 23.1 27.3 11.9 14.7 17.3 28 34.5 40.8 53 26.9 31.9 41.3 60.2 71.4 93.2 114 0.301 0.393 0.48 1.12 1.32 2.74 3.19 3.77 4.34 4.89 3.21 3.81 4.38 4.93 4.39 2.06 2.44 2.81 3.16 5.49 6.34 7.16 6.53 7.55 8.54 10.4 3.85 4.46 5.04 6.17 7.59
13.4 16.5 19.6 11.6 15.4 19 12.9 17 21.1 25 17.5 21.6 25.7 20.7 25.7 30.5 40 29.2 34.8 45.7 34.3 40.9 53.7 66.3 1.73 2.26 2.77 4.29 5.08 6.55 5.54 6.58 7.6 8.6 5.79 6.88 7.95 9 8.31 5.8 6.89 7.96 9.01 8.11 9.38 10.6 9.01 10.4 11.8 14.6 8.73 10.1 11.4 14.1 11.2
2.85 5.50 9.39 1.40 3.28 6.33 1.54 3.62 7.00 11.98 3.70 7.17 12.27 4.39 8.50 14.57 34.00 9.67 16.59 38.78 11.33 19.47 45.60 88.00 0.05 0.12 0.23 0.35 0.60 1.06 0.46 0.78 1.23 1.83 0.48 0.82 1.29 1.91 1.35 0.48 0.82 1.29 1.91 0.96 1.52 2.25 1.07 1.69 2.51 4.83 1.04 1.63 2.42 4.67 1.81
1.6 1.59 1.58 1.63 1.62 1.61 2.06 2.05 2.04 2.02 1.62 1.6 1.59 2.49 2.48 2.47 2.44 2.17 2.15 2.13 3.28 3.26 3.23 3.21 0.421 0.417 0.416 0.629 0.626 0.852 1.07 1.06 1.06 1.05 1.08 1.07 1.07 1.07 1.07 0.85 0.845 0.842 0.838 1.29 1.28 1.27 1.41 1.4 1.39 1.38 1.06 1.06 1.05 1.05 1.41
SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION
Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section
13.3 16.4 19.3 17 8.84 10.9 12.8 13.3 21.1 21 24.8 30.4 38.3 86.7 103
15.5 19.2 22.7 22.7 15.5 19.2 22.7 19.6 31.7 23.2 27.5 33.9 43 50.5 60
3.28 6.33 10.83 10.83 3.28 6.33 10.83 5.25 23.63 7.67 13.13 25.31 32.06 37.69 64.54
1.74 1.73 1.72 1.61 1.38 1.37 1.36 1.61 1.58 1.95 1.94 1.93 2.12 3.22 3.21
SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION
Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section
15 37.70 66.70 122.00 182.50 214.90 251.20 314.90 368.90 516.20 699.50 824.10
18 18.2 24.4 33.4 42.6 49.8 57 66.6 78 92.6 108.8 127.6
19 2.55 3.57 5.45 8.61 12.46 17.20 23.47 34.69 37.80 43.79 62.87
20 1.18 1.47 1.9 2.19 2.2 2.21 2.36 2.37 2.59 2.81 2.81
21 RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION
15 13.70 21.30 37.20 54.70 63.70 72.90 90.50 105.90 125.60 150.00 174.70
18 18.2 24.4 33.4 42.6 49.8 57 66.6 78 92.6 108.8 127.6
19 2.55 3.57 5.45 8.61 12.46 17.20 23.47 34.69 37.80 43.79 62.87
20 1.18 1.47 1.9 2.19 2.2 2.21 2.36 2.37 2.59 2.81 2.81
I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION
22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section
19 60.59 70.29 101.87 153.92 255.59 484.16 77.99 87.70 119.27 171.32 272.99
20 4.06 4.19 4.40 4.56 4.71 4.87 4.05 4.17 4.36 4.51 4.66
21 I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES
22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section
15 195.54 222.21 275.54 328.88 395.54 488.88 216.73 243.40 296.73 350.07 416.73
18 118.46 126.46 142.46 158.46 178.46 206.46 132.27 140.27 156.27 172.27 192.27
21
510.07 616.73 317.92 359.58 442.92 526.25 630.42 776.25 942.92 355.04 396.70 480.04 563.37 667.54 813.37 980.04 507.02 575.29 711.82 848.36 1019.02 1257.96 1531.02 15 113.84 174.97 285.23 330.26 335.85 641.47 655.60 691.32 722.25 776.73 15 901.20 901.39 903.73 904.18 905.07 15 1547.55 3668.27 5706.02 8339.68 15 4801.16 6534.51 10670.60 13504.00 20009.39 15 751.40 811.90
220.27 501.56 252.27 917.99 160.74 94.81 170.74 106.94 190.74 146.41 210.74 211.47 235.74 338.56 270.74 624.27 310.74 1144.81 182.11 132.58 192.11 144.71 212.11 184.18 232.11 249.25 257.11 376.33 292.11 662.05 332.11 1182.58 220.21 171.84 233.01 187.37 258.61 237.89 284.21 321.17 316.21 483.84 361.01 849.56 412.21 1515.84 18 19 55.00 15.15 76.33 22.51 103.55 35.54 116.26 45.35 126.71 52.67 198.46 207.25 212.27 224.66 230.74 238.14 252.11 275.91 276.21 310.51 18 19 612.00 276.00 623.25 291.00 764.00 348.00 790.67 368.00 844.00 408.00 18 19 128.25 171.00 405.33 304.00 885.42 425.00 1692.00 564.00 18 19 584.00 2698.67 684.00 3152.00 1010.00 7296.67 1140.00 8220.00 1552.00 16277.33 18 19 397.80 226.50 513.90 260.50
4.81 4.94 4.97 5.13 5.39 5.59 5.78 5.99 6.16 4.94 5.08 5.32 5.51 5.70 5.90 6.07 6.07 6.29 6.64 6.91 7.18 7.47 7.71 20 4.13 5.02 6.21 6.53 6.31 6.96 6.81 6.71 6.56 6.50 20 7.00 6.82 6.24 6.07 5.77 20 11.65 15.53 17.38 19.23 20 15.70 18.29 20.56 23.09 25.39 20 7.05 6.84
I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES 21 I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES 21 I SECTION I SECTION I SECTION I SECTION I SECTION 21 RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION 21 I SECTION I SECTION I SECTION I SECTION I SECTION 21 I SECTION I SECTION
Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Welded Section Welded Section Welded Section Welded Section Welded Section 22 Welded Section Welded Section Welded Section Welded Section 22 Welded Section Welded Section Welded Section Welded Section Welded Section 22 Rolled Section Rolled Section
842.60 903.20
285.80 320.50
596.90 736.80
Sy
A 18 38.26 58.73 76.37 113.30 136.40 123.40 174.40 164.30 194.80 18 584.00 157.93 0.00 0.00 0.00 0.00
J 19 10.67 22.34 47.78 102.70 173.90 91.80 251.10 152.70 251.2 19 2698.67 147.13 0.00 0.00 0.00 0.00
15 73.31 152.10 200.60 379.00 458.10 478.70 692.10 792.80 947.50 15 4801.16 343.32 #DIV/0! #DIV/0! #DIV/0! #DIV/0!
6.65 I SECTION 6.50 I SECTION
Rolled Section Rolled Section
rv 20 3.83 5.13 5.20 6.55 6.59 7.69 7.83 9.43 9.49 20 15.70 4.99 #DIV/0! #DIV/0! #DIV/0! #DIV/0!
21 I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION 21 I SECTION CHANNEL SECTION CHANNEL SECTION CHANNEL SECTION CHANNEL SECTION CHANNEL SECTION
22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Welded Section Welded Section Welded Section Welded Section Welded Section Welded Section
Cw
polar radius of gyration r0
d'
cm6
cm
mm
warping Constant
23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23
24
25
24 Elastic Neutral Axis Cx
25
26
26
27
27
28 315.3 1565.1 2835.6 6346.1 15041.7 29745.6 57379.4 123283.6 183072.3 269746.2 457914.9 974247.4 1553477.8 2632384.2 28 warping Constant Cw cm6 28
29 4.14 5.38 6.33 7.34 8.55 9.60 10.73 12.73 14.58 16.44 18.45 20.50 22.51 24.55 29 polar radius of gyration r0
30
31 93 117 142 166 190 213.2 237.5 286.9 335.8 384 432.6 482.8 530.7 579.7
30
31
30
31
Column/Beam
cm 24 1.32
112.2
4.14
67.5
Column/Beam
1.54
445.6
5.34
92.3
Column/Beam
1.94
1698.9
6.88
116.8
Column/Beam
2.2
4236.7
8.12
141
Column/Beam
2.19
6677.0
8.82
164.8
Column/Beam
2.18
9899.1
9.59
188.6
Column/Beam
2.31
16729.3
10.62
212.6
Column/Beam
2.29
23681.5
11.34
235.9
Column/Beam
2.35
51139.8
13.16
286.4
Column/Beam
2.44
100604.4
14.96
336.5
Column/Beam
2.42
151272.2
16.57
384.7
23
23
25
24 Distance to centre of gravity Cx
25 Distance to centre of gravity Cy
cm
cm
26
26
27
27
28
cm 29
29
30
31
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
27 0.59 0.63 0.71 0.75 0.79 0.83 0.87 0.92 0.95 1 1.04 1.08 1.08 1.12 1.16 1.2 1.2 1.25 1.29 1.33 1.32 1.37 1.41 1.45 1.49 1.52 1.53 1.57 1.65 1.72 1.6 1.65 1.69 1.77 1.85 1.77 1.81 1.89 1.97 1.89 1.94 1.97 2.02 2.1 2.02 2.06 2.14 2.22 2.18 2.27 2.34 2.42 2.42 2.51
28 0.59 0.63 0.71 0.75 0.79 0.83 0.87 0.92 0.95 1 1.04 1.08 1.08 1.12 1.16 1.2 1.2 1.25 1.29 1.33 1.32 1.37 1.41 1.45 1.49 1.52 1.53 1.57 1.65 1.72 1.6 1.65 1.69 1.77 1.85 1.77 1.81 1.89 1.97 1.89 1.94 1.97 2.02 2.1 2.02 2.06 2.14 2.22 2.18 2.27 2.34 2.42 2.42 2.51
0.009 0.021 0.019 0.043 0.079 0.035 0.078 0.144 0.056 0.128 0.238 0.393 0.086 0.195 0.366 0.608 0.123 0.283 0.533 0.889 0.171 0.393 0.744 1.246 1.916 2.769 1.005 1.687 3.773 6.944 0.694 1.320 2.222 4.995 9.243 1.695 2.860 6.456 12.000 2.136 3.609 5.604 8.178 15.257 2.646 4.479 10.181 19.056 5.478 12.486 23.438 38.902 7.902 18.092
1.03 1.02 1.30 1.29 1.27 1.58 1.58 1.56 1.87 1.87 1.85 1.83 2.16 2.15 2.13 2.11 2.45 2.44 2.42 2.40 2.72 2.72 2.70 2.68 2.65 2.62 2.98 2.96 2.92 2.87 3.26 3.25 3.24 3.20 3.16 3.54 3.52 3.48 3.44 3.82 3.81 3.77 3.76 3.73 4.12 4.10 4.06 4.02 4.38 4.35 4.29 4.25 4.93 4.90
18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member 23
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
2.59 2.66 2.67 2.69 2.76 2.84 2.92 3.02 3 3.09 3.17 3.32 3.23 3.31 3.4 3.51 3.5 3.55 3.59 3.67 3.82 4.08 4.16 4.25 4.31 4.37 4.46 4.98 5.1 5.18 5.39 5.56 5.7 5.84 5.9
2.59 2.66 2.67 2.69 2.76 2.84 2.92 3.02 3 3.09 3.17 3.32 3.23 3.31 3.4 3.51 3.5 3.55 3.59 3.67 3.82 4.08 4.16 4.25 4.31 4.37 4.46 4.98 5.1 5.18 5.39 5.56 5.7 5.84 5.9
24 Distance to centre of gravity Cx
25 Distance to centre of gravity Cy
cm 27
cm 28 0 0 0 0 0 0 0 0 0 0
0.591 0.632 0.709 0.751 0.791 0.83 0.875 0.915 0.954 0.999
34.118 56.900 10.952 17.124 25.166 47.632 79.736 148.397 33.878 64.313 107.987 241.484 44.399 84.493 142.228 266.968 56.900 80.055 108.507 183.036 413.206 169.368 286.654 542.558 651.557 908.244 1219.556 962.429 1620.068 2183.556 700.933 1610.613 3048.444 5103.108 5722.046 26
27
28
4.86 4.81 5.51 5.45 5.48 5.44 5.40 5.30 6.05 6.01 5.97 5.87 6.58 6.54 6.51 6.44 7.20 7.19 7.17 7.12 7.02 8.31 8.26 8.14 8.16 8.08 8.06 9.83 9.78 9.74 11.12 11.04 10.94 10.79 10.81 29
85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 30
31
0.019
1.44
18.5
0.041 0.039 0.087 0.158 0.069 0.156 0.289 0.113 0.256
1.46 1.70 1.72 1.74 1.96 1.98 2.00 2.23 2.25
18 23.5 23 22.5 28.5 28 27.5 33.5 33
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1.04 1.08 1.08 1.12 1.16 1.2 1.2 1.25 1.29 1.33 1.32 1.37 1.41 1.45 1.49 1.52 1.53 1.57 1.65 1.72 1.6 1.65 1.69 1.77 1.85 1.77 1.81 1.89 1.97 1.89 1.94 1.97 2.02 2.1 2.02 2.06 2.14 2.22 2.18 2.27 2.34 2.42 2.43 2.51 2.59 2.67 2.68 2.7 2.76 2.84 2.92 3.02 3 3.09 3.17
0.477 0.786 0.171 0.390 0.732 1.216 0.247 0.565 1.066 1.778 0.342 0.786 1.488 2.492 3.832 5.537 2.010 3.375 7.546 13.889 1.387 2.640 4.445 9.991 18.486 3.391 5.720 12.913 24.000 4.271 7.218 11.208 16.355 30.514 5.293 8.958 20.361 38.111 10.957 24.973 46.875 77.803 15.804 36.185 68.236 113.799 21.904 34.248 50.332 95.264 159.472 296.795 67.756 128.625 215.974
2.27 2.29 2.51 2.53 2.54 2.55 2.79 2.81 2.82 2.84 3.06 3.09 3.10 3.11 3.12 3.12 3.37 3.38 3.40 3.42 3.62 3.64 3.65 3.67 3.70 3.92 3.93 3.95 3.97 4.19 4.22 4.21 4.23 4.26 4.49 4.50 4.51 4.53 4.77 4.80 4.80 4.83 5.33 5.35 5.37 5.38 5.90 5.88 5.92 5.93 5.95 5.95 6.48 6.51 6.52
32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member 23 Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24
3.32 3.24 3.32 3.41 3.52 3.5 3.53 3.59 3.67 3.82 4.08 4.16 4.25 4.31 4.37 4.46 4.98 5.1 5.18 5.39 5.55 5.71 5.84 5.9 25
26
27
482.968 88.798 168.986 284.456 533.936 113.799 160.109 217.014 366.072 826.413 338.736 573.309 1085.115 1303.114 1816.487 2439.111 1924.857 3240.137 4367.111 1401.866 3221.225 6096.889 10206.216 11444.092
6.54 7.02 7.03 7.06 7.07 7.63 7.62 7.65 7.66 7.67 8.79 8.79 8.75 8.80 8.77 8.82 10.44 10.46 10.46 11.64 11.66 11.66 11.63 11.68
28 0.019
29 0.00
0.041 0.039 0.087 0.158 0.069 0.156 0.289 0.113 0.256 0.477 0.786 0.171 0.390 0.732 1.216 0.247 0.565 1.066 1.778 0.342 0.786 1.488 2.492 3.832 5.537 2.010 3.375
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.74 2.73 2.72 2.69 0.00 0.00 2.98 2.97
102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 30
31 18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
7.546 13.889 1.387 2.640 4.445 9.991 18.486 3.391 5.720 12.913 24.000 4.271 7.218 11.208 16.355 30.514 5.293 8.958 20.361 38.111 10.957 24.973 46.875 77.803 15.804 36.185 68.236 113.799 21.904 34.248 50.332 95.264 159.472 296.795 67.756 128.625 215.974 482.968 88.798 168.986 284.456 533.936 113.799 160.109 217.014 366.072 826.413 338.74 573.31 1085.12 1303.11 1816.49 2439.11 1924.86 3240.14
2.93 2.87 0.00 3.27 3.24 3.21 3.15 3.55 3.54 3.49 3.45 3.83 3.82 0.00 3.78 3.73 4.13 4.12 4.07 4.02 4.40 4.36 4.30 4.26 4.95 4.91 4.86 4.82 5.53 0.00 5.49 5.44 5.40 0.00 6.05 6.01 5.97 0.00 0.00 0.00 0.00 0.00 7.21 0.00 7.17 7.11 0.00 8.29 8.24 8.17 0.00 8.10 0.00 0.00 0.00
51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member 23
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
24 Distance to centre of gravity Cx
25 Distance to centre of gravity Cy
cm
cm
0.493 0.534 0.573 0.573 0.616 0.656 0.694 0.69 0.733 0.773 0.812 0.654 0.698 0.738 0.777 0.964 1.01 1.08 1.08 1.12 1.2 1.04 1.09 1.16 1.24 1.16 1.2 1.28 1.36 1.12 1.16 1.24 1.32 1.4 1.48 1.56 1.63 1.47 1.56 1.64 1.78
0.977 1.02 1.06 1.3 1.35 1.39 1.43 1.42 1.47 1.51 1.55 1.63 1.68 1.72 1.76 1.95 1.99 2.07 2.07 2.11 2.19 2.27 2.32 2.4 2.48 2.39 2.44 2.52 2.6 2.6 2.64 2.73 2.81 2.88 2.97 3.05 3.12 3.2 3.29 3.37 3.01
26
27
4367.11 1401.87 3221.23 6096.89 10206.22 11444.09 28
0.00 11.09 0.00 10.79 0.00 0.00 29
0.022 0.049 0.091 0.053 0.119 0.223 0.368 0.079 0.180 0.339 0.563 0.103 0.236 0.444 0.741 0.843 1.415 3.161 1.114 1.874 4.208 1.334 2.249 5.069 9.406 1.695 2.862 6.475 12.059 1.988 3.362 7.628 14.250 5.062 11.544 21.681 36.008 6.906 15.811 29.816 7.716
1.07 1.06 1.05 1.42 1.42 1.41 1.40 1.65 1.64 1.63 1.61 1.79 1.78 1.77 1.75 2.20 2.18 2.16 2.42 2.40 2.38 2.55 2.54 2.52 2.48 2.77 2.76 2.74 2.71 2.91 2.90 2.87 2.84 3.33 3.30 3.28 3.24 3.69 3.66 3.63 3.84
30
170 194 192 190 188 187.5 31
18.5 18 17.5 23.5 23 22.5 22 28.5 28 27.5 27 28.5 28 27.5 27 37.5 37 36 42.5 42 41 42.5 42 41 40 47.5 47 46 45 47.5 47 46 45 57 56 55 54 62 61 60 72
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
1.87 1.95 2.03 1.59 1.68 1.76 2.24 2.32 2.4 2.48 1.54 1.62 1.7 2.76 2.84 2.92 3.07 2.03 2.11 2.27 3.55 3.63 3.79 3.94 0.441 0.481 0.519 0.681 0.721 1.05 1.25 1.29 1.33 1.37 1.21 1.25 1.29 1.33 1.25 0.843 0.884 0.924 0.963 1.48 1.52 1.56 1.56 1.6 1.64 1.72 1.04 1.08 1.12 1.2 1.52
3.1 3.19 3.27 4.06 4.15 4.24 3.72 3.8 3.89 3.97 5.24 5.33 5.42 4.48 4.57 4.65 4.81 6.98 7.07 7.23 6.02 6.11 6.27 6.42 1.42 1.47 1.51 2.15 2.2 2.04 1.99 2.04 2.08 2.11 2.2 2.24 2.28 2.32 2.48 2.81 2.85 2.9 2.94 2.47 2.51 2.55 2.79 2.83 2.88 2.96 3.49 3.54 3.59 3.67 3.23
17.673 33.344 55.636 13.135 30.286 57.528 15.567 35.913 68.250 114.726 49.352 94.212 159.096 63.712 121.656 205.489 465.161 229.785 390.334 893.904 290.653 493.794 1131.085 2134.000 0.048 0.108 0.202 0.732 1.229 2.182 1.220 2.053 3.174 4.613 1.440 2.428 3.760 5.473 4.441 1.799 3.043 4.729 6.907 3.850 5.984 8.741 5.381 8.383 12.274 23.059 6.099 9.520 13.967 26.347 10.778
3.82 3.79 3.77 4.53 4.51 4.48 4.89 4.86 4.84 4.80 5.25 5.22 5.18 5.88 5.86 5.83 5.76 7.02 7.00 6.93 7.82 7.79 7.71 7.65 1.37 1.36 1.35 2.05 2.04 2.17 2.52 2.50 2.49 2.47 2.65 2.64 2.62 2.60 2.75 2.77 2.76 2.74 2.73 3.07 3.05 3.04 3.42 3.41 3.39 3.36 3.47 3.46 3.44 3.41 3.67
71 70 69 72 71 70 92 91 90 89 71 70 69 111 110 109 107 95 94 92 145 144 142 140 18.5 18 17.5 27.5 27 36.5 47.5 47 46.5 46 47.5 47 46.5 46 46.5 37.5 37 36.5 36 57 56.5 56 62 61.5 61 60 47 46.5 46 45 61.5
Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member
1.87 1.95 2.03 1.84 1.35 1.43 1.51 1.58 1.81 2.04 2.12 2.23 2.22 3.73 3.85
28.443 53.965 90.565 96.656 35.201 67.028 112.899 69.471 300.111 101.743 171.777 323.921 742.948 940.028 1582.917
3.84 3.93 4.01 4.31 4.79 4.88 4.97 5.28 5.53 5 5.08 5.21 7.16 6.21 6.33
23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam
24
25
26
27
23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam
24
25
26
27
23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam
24
25
26
28
27 20 20 20 20 20 20 20 20 20 20 20
1 1.2 1.6 2 2.5 3.2 1 1.2 1.6 2 2.5
4.45 4.43 4.40 4.45 4.66 4.64 4.61 5.23 5.13 5.42 5.38 5.34 6.91 7.71 7.66
76 75 74 69 61 60 59 70.5 67.5 85 84 82.5 92.5 142.5 141
29 4.15 5.47 7.06 8.36 9.10 9.87 10.93 11.73 13.77 15.78 17.43
30
31
28 224.4 891.3 3397.8 8473.3 13354.0 19798.2 33458.7 47362.9 102279.7 201208.8 302544.4
29 3.65 4.70 5.92 7.01 7.87 8.74 9.74 10.62 12.39 14.16 15.96
30
31
28 1345378.7 1463616.0 1706666.7 1958592.0 2286173.7 2768896.0 1531869.0 1680008.3 1983687.0 2297339.0 2703624.0
29 18.20 18.45 18.91 19.31 19.75 20.31 20.15 20.41 20.88 21.29 21.76
30
31 394 396 400 404 409 416 447 449 453 457 462
Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam
20 20 25 25 25 25 25 25 25 25 25 25 25 25 25 25 32 32 32 32 32 32 32 24
25
26
3.2 4 1 1.2 1.6 2 2.5 3.2 4 1 1.2 1.6 2 2.5 3.2 4 1 1.2 1.6 2 2.5 3.2 4 27
18 22 25 30 30 30 30 30 30 30
1.0 1.0 1.0 1.0 1.0 2.0 2.0 2.0 2.0 2.0
24
25
26
27
24
25
26
27
24
25
26
27
24
25
26
27
3299415.0 4019679.0 3610917.3 3965002.5 4689198.0 5434968.4 6397902.1 7804229.6 9496195.5 4781638.4 5206800.5 6074676.4 6966162.6 8114103.4 9784783.8 8045105.4 11461091.1 12515892.6 14665616.7 16869272.6 19700482.7 23809073.6 28714878.4 28 76212.6 287496.0 1065143.6 1992555.4 2889815.0 5366088.0 7162795.8 8963593.7 11531260.6 14202610.7 28 15150375.0 20010375.0 25545375.0 31755375.0 46200375.0 28
22.34 22.94 22.55 22.84 23.35 23.81 24.31 24.93 25.56 24.41 24.70 25.23 25.69 26.21 26.86 27.52 26.91 27.24 27.83 28.35 28.92 29.61 30.31 29 8.50 10.87 13.41 15.51 17.35 20.45 22.40 24.34 26.21 28.14 29 30.00 33.74 36.08 39.55 46.36 29
28 112896000 249018000 600000000 1097296875 2209000000 28 8978203 13351908
29 30.53 35.85 40.29 45.53 50.01 29 25.95 29.55
30
469 477 497.6 499.6 503.6 507.6 512.6 519.6 527.6 545.3 547.3 551.3 555.3 560.3 567.3 475.3 596.4 598.4 602.4 606.4 611.4 618.4 626.4 31 132 180 227.5 276.9 325.8 364 412.6 462.8 510.7 559.7 31 670 770 870 970 1170 31
30
31
30
30
560 660 750 850 940 30
31 565 663
Column/Beam Column/Beam
23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam
18290286 24961500
24
25
26
27
24
25
26
27
33.25 36.87
r0 Cw 28 29 30749 7.77 142896 10.20 196908 10.36 716627 12.99 897453 13.11 1562218 15.47 2386317 15.80 4174295 18.27 5109711 18.42 28 29 112896000 30.53 3441766 25.33 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0!
762 860 d' 30
30
31 148.2 192.2 195.4 243.0 246.2 292.5 298.8 338.1 341.3 31 560 592.4 0 0 0 0
b'
alpha
SHEAR CENTER X0
mm
mm
cm
32
33
34
SHEAR CENTER Y0 cm
check slenderness
35 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36
37
38
0 0 0 0 0 0 0 0 0 0 0 0 0 0
flange 39 Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
web 40 Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
37.6
0.42
2.66
0
Non-slender Non-slender
47.5
0.41
3.25
0
Non-slender Non-slender
62.35
0.42
4.27
0
Non-slender Non-slender
72.15
0.41
4.91
0
Non-slender Non-slender
72
0.41
4.83
0
Non-slender Non-slender
71.9
0.40
4.77
0
Non-slender Non-slender
76.75
0.40
5.07
0
Non-slender Non-slender
76.4
0.40
4.96
0
Non-slender Non-slender
86.1
0.38
5.23
0
Non-slender Non-slender
95.85
0.37
5.55
0
Non-slender Non-slender
95.6
0.36
5.43
0
Non-slender Non-slender
32
33
34
35
36
37
38
39
40
18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86
0.62 0.61 0.79 0.78 0.76 0.96 0.95 0.95 1.13 1.13 1.12 1.10 1.32 1.30 1.29 1.27 1.48 1.48 1.47 1.46 1.65 1.65 1.64 1.63 1.61 1.58 1.81 1.80 1.77 1.73 1.98 1.98 1.97 1.94 1.91 2.15 2.14 2.11 2.08 2.32 2.32 2.29 2.29 2.26 2.50 2.49 2.46 2.43 2.66 2.64 2.60 2.57 3.00 2.98
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4.4 4.3 5.6 5.5 5.4 6.8 6.7 6.7 8 8 7.9 7.8 9.3 9.2 9.1 9 10.5 10.5 10.4 10.3 11.7 11.7 11.6 11.5 11.4 11.2 12.8 12.7 12.5 12.2 14 14 13.9 13.7 13.5 15.2 15.1 14.9 14.7 16.4 16.4 16.2 16.2 16 17.7 17.6 17.4 17.2 18.8 18.7 18.4 18.2 21.2 21.1
4.4 4.3 5.6 5.5 5.4 6.8 6.7 6.7 8 8 7.9 7.8 9.3 9.2 9.1 9 10.5 10.5 10.4 10.3 11.7 11.7 11.6 11.5 11.4 11.2 12.8 12.7 12.5 12.2 14 14 13.9 13.7 13.5 15.2 15.1 14.9 14.7 16.4 16.4 16.2 16.2 16 17.7 17.6 17.4 17.2 18.8 18.7 18.4 18.2 21.2 21.1
Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender
85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 32
2.96 2.91 3.35 3.31 3.34 3.31 3.28 3.21 3.68 3.66 3.63 3.56 4.00 3.97 3.96 3.90 4.38 4.38 4.37 4.34 4.27 5.06 5.03 4.95 4.96 4.91 4.89 5.98 5.94 5.91 6.77 6.73 6.65 6.56 6.58 33
34
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 35
20.9 20.6 23.7 23.4 23.6 23.4 23.2 22.7 26 25.9 25.7 25.2 28.3 28.1 28 27.6 31 31 30.9 30.7 30.2 35.8 35.6 35 35.1 34.7 34.6 42.3 42 41.8 47.9 47.6 47 46.4 46.5 36
37
20.9 20.6 23.7 23.4 23.6 23.4 23.2 22.7 26 25.9 25.7 25.2 28.3 28.1 28 27.6 31 31 30.9 30.7 30.2 35.8 35.6 35 35.1 34.7 34.6 42.3 42 41.8 47.9 47.6 47 46.4 46.5 38
Non-slender Non-slender Slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender 39
18.5
0.00
0.44
Non-slender
18 23.5 23 22.5 28.5 28 27.5 33.5 33
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.43 0.56 0.55 0.54 0.68 0.68 0.67 0.80 0.80
Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
40
32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.79 0.78 0.93 0.92 0.91 0.90 1.05 1.05 1.04 1.03 1.17 1.17 1.16 1.15 1.14 1.12 1.28 1.27 1.25 1.22 1.40 1.40 1.39 1.37 1.35 1.52 1.51 1.49 1.47 1.64 1.64 1.62 1.62 1.60 1.77 1.76 1.74 1.72 1.88 1.87 1.84 1.82 2.13 2.11 2.09 2.07 2.38 2.35 2.36 2.34 2.32 2.27 2.60 2.59 2.57
Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender
102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 32 18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52
33
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
2.52 2.84 2.82 2.81 2.77 3.10 3.08 3.09 3.07 3.02 3.58 3.56 3.50 3.51 3.47 3.46 4.23 4.20 4.18 4.79 4.75 4.71 4.64 4.65
0.00
35 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
34
Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender 36
37
38
39 Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
40
51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
170 194 192 190 188 187.5 32
28.5 28 27.5 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 57.5 57 56 62.5 62 61 67.5 67 66 65 72.5 72 71 70 77.5 77 76 75 87 86 85 84 97 96 95 97
0.00 0.00 0.00 0.00 0.00 0.00 33
34
0.00 0.00 0.00 0.00 0.00 0.00 35
36
37
38
Non-slender Slender Non-slender Non-slender Non-slender Non-slender 39
40
Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Slender
96 95 94 122 121 120 122 121 120 119 146 145 144 146 145 144 142 195 194 192 195 194 192 190 38.5 38 37.5 57.5 57 56.5 62.5 62 61.5 61 67.5 67 66.5 66 71.5 77.5 77 76.5 76 77 76.5 76 87 86.5 86 85 97 96.5 96 95 96.5
Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
Non-slender Non-slender Non-slender Slender Slender Non-slender Slender Slender Non-slender Non-slender Slender Slender Non-slender Slender Slender Non-slender Non-slender Slender Slender Non-slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender
116 115 114 119 131 130 129 145.5 142.5 145 144 142.5 192.5 192.5 191
Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender
Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Slender Non-slender Slender Non-slender Non-slender Slender Slender Non-slender
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
b'
alpha
X0
Y0
32
33
34
35
36
37
38
39
40
32
33
34
35
36
37
38
39
40
Plastic Modulus Axis z-z Axis y-y Zz Zy cm3 16 58.65 81.85 110.48 166.08 253.86 348.27 465.71 651.74 889.57 1176.18 1533.36 2074.67 2711.98 3510.63
cm3
Star Angle rvv cm
17 18.3 19.6 22.4 32.2 50 66.4 89.8 110.7 129.7 149.4 186.8 259.5 327.6 429
16
17 Plastic Modulus Axis z-z Axis y-y Zz Zy cm3 16 24.17
cm3 17 8.69
60.00
12.5 31.67838 39.59798
43.83
14.3
84.60
16.9
77.15
25.56
108.60
20.5
119.82
37.88
132.00
23.2
161.65
44.4
154.60
25.8
211.26
51.07
177.20
28.6
277.93
63.64
200.20
30.8
356.72
73.9
221.80
30.8
496.77
91.21
272.80
35.0
672.2
110.7
323.00
38.9
891.03
127.69
369.40
42.0
16
17
Zz
Zy
17
18
16
17
Zz
Zy
17
18
16
17
1.94 1.93 1.92 1.90
2.11 2.10
2.07 2.03 2.31 2.29 2.27 2.23 2.51 2.50 2.47 2.44 2.71 2.70 2.67 2.64 2.92 2.91 2.88 2.84 3.11 3.08 3.04 3.01 3.50 3.47 3.44 3.41 3.91 3.88 3.85 3.82 4.28 4.25 4.22
5.10 5.07 5.03 5.86 5.83 5.78 5.73
7.84 7.63
16
17
Zz
Zy
17
18
16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
16 1020.00 1020.00 1020.00 1020.00 1020.00 1020.00 1350.00 1350.00 1350.00 1350.00 1350.00
17 88.90 88.90 88.90 88.90 88.90 88.90 111.00 111.00 111.00 111.00 111.00
1350.00 1350.00 1810.00 1810.00 1810.00 1810.00 1810.00 1810.00 1810.00 2360.00 2360.00 2360.00 2360.00 2360.00 2360.00 2360.00 3060.00 3060.00 3060.00 3060.00 3060.00 3060.00 3060.00 16 110.48 253.86 465.71 651.74 889.57 1176.18 1533.36 2074.67 2711.98 3510.63 16 0.00 0.00 0.00 0.00 0.00 16 0.00 0.00 0.00 0.00 16 0.00 0.00 0.00 0.00 0.00 16 5350.00 7032.00
111.00 111.00 152.00 152.00 152.00 152.00 152.00 152.00 152.00 193.00 193.00 193.00 193.00 193.00 193.00 193.00 252.00 252.00 252.00 252.00 252.00 252.00 252.00 17 12.50 27.40 53.50 69.50 76.80 88.90 111.00 152.00 193.00 252.00 17 0.00 0.00 0.00 0.00 0.00 17 0.00 0.00 0.00 0.00 17 0.00 0.00 0.00 0.00 0.00 17 1156.00 1257.00
8699.00 10810.00 Zz 16 247.70 497.40 656.10 1224.00 1484.00 1592.00 2297.00 2479.00 2965.00 16 0.00 0.00 0.00 0.00 0.00 0.00
1312.00 1414.00 Zy 17 111.60 230.90 305.30 575.30 697.00 726.10 1053.00 1199.00 1435.00 17 0.00 0.00 0.00 0.00 0.00 0.00
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