MT 2.5 Modular Supports Technical Supplement Guide October 2024 | Page 7

MT 2.5 Tech Supplement Guide
1.0 . MT PROFILES 1.1 . CROSS-SECTION PROPERTIES OF MT PROFILES
Table 4 . Cross-Section Properties of MT Channel Profiles 1 , 2 , 3 , 4 , 5
Description Symbol Units
MT-30D S MT-30D MT-30D S OC MT-30D OC
MT-40D S MT-40D MT-40D S OC MT-40D OC
MT-50 U
MT-50D MT-50D S
MT-50D U
Profile of cross-section - -
Design thickness
t
in
( mm )
0.079
( 2.00 )
0.079
( 2.00 )
0.108
( 2.75 )
0.108
( 2.75 )
0.108
( 2.75 )
Width
-
in
( mm )
1.67
( 42.5 )
1.67
( 42.5 )
1.67
( 42.5 )
1.67
( 42.5 )
1.67
( 42.5 )
Depth
-
in
( mm )
1.81
( 46 )
3.35
( 85 )
1.67
( 42.5 )
3.35
( 85 )
3.35
( 85 )
Weight
w
lbs / ft
( kg / m )
1.98
( 2.94 )
3.01
( 4.48 )
1.96
( 2.91 )
3.91
( 5.82 )
3.91
( 5.82 )
Minimum specified yield strength
Fy
ksi
( MPa )
40.6
( 280 )
40.6
( 280 )
40.6
( 280 )
40.6
( 280 )
40.6
( 280 )
Modulus of Elasticity
E
ksi
( MPa )
29,500
( 203,400 )
29,500
( 203,400 )
29,500
( 203,400 )
29,500
( 203,400 )
29,500
( 203,400 )
Gross Section Properties 2
Gross cross-sectional area
Ag
in 2
( mm 2 )
0.644
( 415.90 )
0.886
( 571.90 )
0.579
( 373.78 )
1.159
( 747.57 )
1.159
( 747.57 )
Moment of inertia of the gross section about x-axis
Ix
in 4
( mm 4 )
0.164
( 68,266 )
0.823
( 342,808 )
0.201
( 83,843 )
1.035
( 430,879 )
1.035
( 430,879 )
Moment of inertia of the gross section about y-axis
Iy
in 4
( mm 4 )
0.255
( 106,037 )
0.409
( 170,059 )
0.259
( 107,667 )
0.517
( 215,335 )
0.517
( 215,335 )
Gross section-modulus about x-axis
Sx
in 3
( mm 3 )
0.181
( 2,968 )
0.492
( 8,066 )
0.216
( 3,532 )
0.619
( 10,138 )
0.619
( 10,138 )
Gross section-modulus about y-axis
Sy
in 3
( mm 3 )
0.304
( 4,990 )
0.488
( 8,003 )
0.309
( 5,067 )
0.618
( 10,133 )
0.618
( 10,133 )
Radius of gyration of the gross section about x-axis
rx
in
( mm )
0.504
( 12.81 )
0.964
( 24.48 )
0.590
( 14.98 )
0.945
( 24.01 )
0.945
( 24.01 )
Radius of gyration of the gross section about y-axis
ry
in
( mm )
0.629
( 15.97 )
0.679
( 17.24 )
0.668
( 16.97 )
0.668
( 16.97 )
0.668
( 16.97 )
Effective Section Properties
Effective moment of inertia about x-axis
Ix-eff
in 4
( mm 4 )
0.164
( 68,194 )
0.823
( 342,736 )
0.201
( 83,843 )
1.035
( 430,692 )
1.035
( 430,879 )
Effective moment of inertia about y-axis
Iy-eff
in 4
( mm 4 )
0.253
( 105,217 )
0.407
( 169,239 )
0.259
( 107,667 )
0.515
( 214,207 )
0.517
( 215,335 )
Effective section modulus about x-axis at stress = Fy
Sx-eff
in 3
( mm 3 )
0.181
( 2,964 )
0.492
( 8,064 )
0.216
( 3,532 )
0.618
( 10,134 )
0.619
( 10,138 )
Effective section modulus about y-axis at stress = Fy
Sy-eff
in 3
( mm 3 )
0.302
( 4951 )
0.486
( 7,964 )
0.309
( 5,067 )
0.615
( 10,080 )
0.618
( 10,133 )
Factored bending moment resistance based on local buckling about x-axis ( �b = 0.9 )
�bMnl
k-in
( kN m )
8.50
( 0.960 )
23.12
( 2.612 )
10.13
( 1.144 )
29.05
( 3.283 )
29.07
( 3.284 )
Factored bending moment resistance based on local buckling about y-axis ( �b = 0.9 )
�bMnl
k-in
( kN m )
13.59
( 1.535 )
20.05
( 2.265 )
13.20
( 1.491 )
26.26
( 2.967 )
26.40
( 2.983 )
Factored bending moment resistance for distortional buckling about x-axis based on K� = 0 ( �b = 0.9 )
�bMnd
k-in
( kN m )
8.50
( 0.960 )
23.12
( 2.612 )
10.13
( 1.144 )
29.05
( 3.283 )
29.07
( 3.284 )
Factored bending moment resistance for distortional buckling about y-axis based on K� = 0 ( �b = 0.9 )
�bMnd
k-in
( kN m )
13.59
( 1.535 )
20.05
( 2.265 )
13.20
( 1.491 )
26.26
( 2.967 )
26.40
( 2.983 )
Factored shear resistance about x-axis ( �v = 0.8 )
�vVn
lbs
( N )
4,170
( 18.547 )
4,168
( 18.54 )
2,534
( 11.27 )
5,067
( 22.54 )
5,067
( 22.54 )
Factored shear resistance about y-axis ( �v = 0.8 )
�vVn
lbs
( N )
3,626
( 16.128 )
8,337
( 37.08 )
5,225
( 23.24 )
10,450
( 46.48 )
10,450
( 46.48 )
Torsional Section Properties 2
St . Venant Torsional Constant
Torsional Warping Constant
Distance from the centroid to the shear center along the principal X-axis Distance from the centroid to the shear center along the principal Y-axis
Distance from shear center to centroid to mid-plane of web
Net polar radius of gyration about the shear center
Coefficient for determining critical elastic lateral-torsional buckling stress
J
Cw
X0
Y0
m
r0 in 4 ( mm 4 ) in 6 ( mm 6 ) in ( mm ) in ( mm ) in ( mm ) in ( mm )
0.0133
0.0018
0.0023
0.0045
0.0045
( 554.53 )
( 762.53 )
( 942.24 )
( 1,884.5 )
( 1,884.5 )
0.0647
0.294
0.157
0.3108
0.3131
( 17,370,800 )
( 78,960,780 )
( 42,032,270 )
( 83,471,060 )
( 84,065,340 )
0 0 0 0 0
0
0
-1.586
( 40.29 )
0
0
N . A .
N . A .
0.901
( 22.9 )
N . A .
N . A .
0.806
1.179
1.819
1.158
1.158
( 20.5 )
( 29.9 )
( 46.2 )
( 29.4 )
( 29.4 )
� - 1.0 1.0 0.2 1.0 1.0
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 . 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 Design moment capacity is taken as the lesser of ϕ b M nl and ϕ b M nd 5 C . G . is the center of gravity of the profile cross-section .
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