Product Technical Guides : US-EN Modular Systems Product Technical Guide | Page 30

Modular Support Systems Technical Guide , Edition 1
3.0 MODULAR SUPPORT SYSTEM 3.1.1 CROSS-SECTION PROPERTIES OF MT PROFILES
Table 10 - Cross-Section Properties of MT Girder Profiles 1 , 3 , 4
Description
Symbol Units
MT-70 S OC MT-70 OC
MT-80 S OC MT-80 OC
MT-90 S OC MT-90 OC
MT-100 S OC MT-100 OC
Profile of cross-section - -
Design thickness
t
in
( mm )
0.108
( 2.75 )
0.118
( 3 )
0.118
( 3 )
0.157
( 4 )
Width
-
in
( mm )
1.97
( 50 )
1.97
( 50 )
3.94
( 100 )
3.94
( 100 )
Depth
-
in
( mm )
1.97
( 50 )
3.94
( 100 )
3.94
( 100 )
5.91
( 150 )
Weight
w
lbs / ft
( kg / m )
2.64
( 3.914 )
4.43
( 6.593 )
6.01
( 8.944 )
9.99
( 14.882 )
Minimum specified yield strength
F y
ksi
( MPa )
50.75
( 350 )
50.75
( 350 )
50.75
( 350 )
50.75
( 350 )
Modulus of elasticity
E
ksi
( MPa )
29,500
( 203,400 )
29,500
( 203,400 )
29,500
( 203,400 )
29,500
( 203,400 )
Gross Section Properties 2
Gross cross-sectional area
A g
in 2
( mm 2 )
0.775
( 500.28 )
1.303
( 840.82 )
1.768
( 1140.80 )
2.937
( 1894.80 )
Moment of inertia of the gross section about x-axis
I x
in 4
( mm 4 )
0.4382
( 182,390 )
2.5576
( 1,064,540 )
4.2536
( 1,770,469 )
14.2854
( 5,946,036 )
Moment of inertia of the gross section about y-axis
I y
in 4
( mm 4 )
0.4382
( 182,390 )
0.8663
( 360,568 )
4.2536
( 1,770,469 )
7.654
( 3,185,651 )
Gross section-modulus about x-axis
S x
in 3
( mm 3 )
0.4452
( 7,296 )
1.2993
( 21,291 )
2.1608
( 35,409 )
4.838
( 79,280 )
Gross section-modulus about y-axis
S y
in 3
( mm 3 )
0.4452
( 7,296 )
0.8801
( 14,423 )
2.1608
( 35,409 )
3.888
( 63,713 )
Radius of gyration of the gross section about x-axis
r x
in
( mm )
0.752
( 19.09 )
1.401
( 35.58 )
1.551
( 39.39 )
2.206
( 56.02 )
Radius of gyration of the gross section about y-axis
r y
in
( mm )
0.752
( 19.09 )
0.815
( 20.71 )
1.551
( 39.39 )
1.614
( 41 )
Effective Section Properties
Effective moment of inertia about x-axis
I x-eff
in 4
( mm 4 )
0.4382
( 182,390 )
2.3832
( 991,957 )
3.8584
( 1,605,985 )
12.0259
( 5,005,546 )
Effective moment of inertia about y-axis
I y-eff
in 4
( mm 4 )
0.4382
( 182,390 )
0.6451
( 268,521 )
3.8584
( 1,605,985 )
6.4751
( 2,695,127 )
Effective section modulus about x-axis at stress = F y
S x-eff
in 3
( mm 3 )
0.4452
( 7,296 )
1.2107
( 19,839 )
1.9601
( 32,120 )
4.0728
( 66,741 )
Effective section modulus about y-axis at stress = F y
S y-eff
in 3
( mm 3 )
0.4452
( 7,296 )
0.6554
( 10,741 )
1.9601
( 32,120 )
3.2893
( 53,903 )
Factored bending moment resistance based on local buckling about x-axis ( ϕ b = 0.9 )
ϕ b
M nl
k-in
( kN m )
22.75
( 2.571 )
62.76
( 7.091 )
92.81
( 10.49 )
216.03
( 22.88 )
Factored bending moment resistance based on local buckling about y-axis ( ϕ b = 0.9 )
ϕ b
M nl
k-in
( kN m )
22.75
( 2.571 )
31.58
( 3.567 )
92.81
( 10.49 )
153.16
( 17.30 )
Factored bending moment resistance for distortional buckling about x-axis based on Kφ = 0 ( ϕ b = 0.9 )
ϕ b
M nd
k-in
( kN m )
N . A .
N . A .
N . A .
N . A .
Factored bending moment resistance for distortional buckling about y-axis based on Kφ = 0 ( ϕ b = 0.9 )
ϕ b
M nd
k-in
( kN m )
N . A .
N . A .
N . A .
N . A .
Factored shear resistance about x-axis ( ϕ v = 0.8 )
ϕ v
V n
lbs
( N )
8,101
( 36,036 )
8,611
( 38,304 )
19,941
( 88,704 )
25,380
( 112,896 )
Factored shear resistance about y-axis ( ϕ v = 0.8 )
ϕ v
V n
lbs
( N )
8,101
( 36,036 )
16,285
( 72,439 )
19,941
( 88,704 )
40,488
( 180,096 )
Torsional Section Properties 2
St . Venant Torsional Constant
J
in 4
( mm 4 )
0.7146
( 297,456 )
2.1217
( 883,107 )
6.6870
( 2,783,333 )
15.8713
( 6,606,148 )
Torsional Warping Constant
C w
in 6
( mm 6 )
0.00015
( 39,434 )
0.1693
( 45,468,000 )
0.0023
( 610,560 )
1.2794
( 343,560,000 )
Distance from the centroid to the shear center along the principal x-axis
X 0
in
( mm )
0
0
0
0
Distance from the centroid to the shear center along the principal y-axis
Y 0
in
( mm )
0
0
0
0
Net polar radius of gyration about the shear center
r 0
in
( mm )
1.063
( 27.00 )
1.621
( 41.17 )
2.193
( 55.71 )
2.733
( 69.42 )
Coefficient for determining critical elastic lateral-torsional buckling stress β - 1 1 1 1
1 . Tabulated values are in accordance with ICC-ES ELC-5019 and CSA S136-16 , the North American Specification for the Design of Cold-Formed Steel Structural Members
( using the Appendix B provisions applicable to Canada ), CSA Group . 2 . Tabulated gross properties , including torsional properties , are based on the full unreduced cross section of the profiles , away from the punched holes and slots . 3 . For deflection calculations , use the effective moment of inertia . 4 . C . G . is the center of gravity of the profile cross-section .
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