Modular Supports System Product Technical Guide June 2026 | Page 31

Modular Support Systems Technical Guide, Edition 2
3.0 Modular Support System
3.1.1 Cross-Section Properties of MT Profiles
Table 10- Cross-Section Properties of MT Channel Profiles 1, 3, 4, 5
Description Symbol Units MT-20 MT-30 MT-50 MT-50 U MT-60
Profile of cross-section--
Design thickness Width- Depth- Weight Minimum specified yield strength
Modulus of Elasticity Gross Section Properties 2 Gross cross-sectional area
Moment of inertia of the gross section about x-axis Moment of inertia of the gross section about y-axis Gross section-modulus about x-axis Gross section-modulus about y-axis Radius of gyration of the gross section about x-axis
Radius of gyration of the gross section about y-axis Effective Section Properties Effective moment of inertia about x-axis
Effective moment of inertia about y-axis Effective section modulus about x-axis at stress = Fy
Effective section modulus about y-axis at stress = Fy
Factored bending moment resistance based on local buckling about x-axis( φb = 0.9) Factored bending moment resistance based on local buckling about y-axis( φb = 0.9) Factored bending moment resistance for distortional buckling about x-axis based on Kϕ = 0( φb = 0.9) Factored bending moment resistance for distortional buckling about y-axis based on Kϕ = 0( φb = 0.9)
Factored shear resistance about x-axis( φv = 0.8)
Factored shear resistance about y-axis( φv = 0.8) Torsional Section Properties 2 St. Venant Torsional Constant
Torsional Warping Constant t
w
Fy
E
Ag
Ix
Iy
Sx
Sy
rx
ry
Ix-eff
Iy-eff
Sx-eff
Sy-eff
φbMnl
φbMnl
φbMnd
φbMnd
φvVn
φvVn
J
Cw in( mm) in( mm) in( mm) lbs / ft( kg / m)
ksi( MPa) ksi( MPa)
in 2( mm 2) in 4( mm 4) in 4( mm 4) in 3( mm 3) in 3( mm 3) In( mm) In( mm)
in 4( mm 4) in 4( mm 4) in 3( mm 3) in 3( mm 3)
k-in( kNm) k-in( kNm) k-in( kNm) k-in( kNm) lbs( N) lbs( N)
in 4( mm 4)
in 6( mm 6)
in( mm) in( mm) in( mm) in( mm)
0.069
0.079
0.108
0.108
0.108
( 1.75)
( 2)
( 2.75)
( 2.75)
( 2.75)
1.10
1.67
1.67
1.67
1.67
( 28)
( 42.5)
( 42.5)
( 42.5)
( 42.5)
1.67
0.91
1.67
1.67
2.83
( 42.5)
( 23)
( 42.5)
( 42.5)
( 72)
0.84
1.1
1.97
1.96
2.83
( 1.25)
( 1.64)
( 2.93)
( 2.91)
( 4.21)
40.6
40.6
40.6
40.6
40.6
( 280)
( 280)
( 280)
( 280)
( 280)
29,500
29,500
29,500
29,500
29,500
( 203,400)
( 203,400)
( 203,400)
( 203,400)
( 203,400)
0.291
0.322
0.583
0.579
0.834
( 187.59)
( 207.95)
( 376.02)
( 373.78)
( 538.27)
0.0489
0.0351
0.2033
0.201
0.7904
( 20,349)
( 14,621)
( 84,619)
( 83,843)
( 329,006)
0.1272
0.1274
0.2611
0.259
0.4153
( 52,943)
( 53,018)
( 108,670)
( 107,667)
( 172,864)
0.0742
0.067
0.2165
0.216
0.5146
( 1,216)
( 1,098)
( 3,548)
( 3,532)
( 8,432)
0.152
0.1523
0.3121
0.309
0.4964
( 2,491)
( 2,495)
( 5,114)
( 5,067)
( 8,135)
0.41
0.33
0.591
0.590
0.973
( 10.42)
( 8.39)
( 15)
( 14.98)
( 24.72)
0.661
0.629
0.669
0.668
0.706
( 16.8)
( 15.97)
( 17)
( 16.97)
( 17.92)
0.0443
0.0327
0.2005
0.201
0.7802
( 18,439)
( 13,594)
( 83,452)
( 83,843)
( 324,725)
0.0901
0.1264
0.2611
0.259
0.4153
( 37,509)
( 52,608)
( 108,664)
( 107,667)
( 172,858)
0.0673
0.0623
0.2135
0.216
0.5079
( 1,102)
( 1,021)
( 3,499)
( 3,532)
( 8,323)
0.1077
0.1511
0.3121
0.309
0.4964
( 1765)
( 2476)
( 5114)
( 5,067)
( 8135)
2.77
2.88
10.22
10.13
23.34
( 0.313)
( 0.325)
( 1.15)
( 1.144)
( 2.64)
4.33
6.33
12.71
13.20
19.24
( 0.489)
( 0.716)
( 1.436)
( 1.491)
( 2.173)
2.53
2.66
9.06
10.13
18.65
( 0.286)
( 0.300)
( 1.024)
( 1.144)
( 2.107)
3.76
5.70
12.71
13.20
17.86
( 0.425)
( 0.644)
( 1.436)
( 1.491)
( 2.017)
1,877
2,085
2,691
2,534
2,692
( 8,350)
( 9,274)
( 11,972)
( 11.27)
( 11,975)
2,220
1,813
5,383
5,225
10,286
( 9,878)
( 8,064)
( 23,944)
( 23.24)
( 45,756)
0.0005
0.0007
0.0023
0.0023
0.0033
( 191.50)
( 277.26)
( 947.89)
( 942.24)
( 1,356.90)
0.0368
0.0323
0.1593
0.157
0.5991
( 9,881,442)
( 8,685,395)
( 42,771,610)
( 42,032,270)
( 160,884,400)
Distance from the centroid to the shear center along the principal X-axis
X0
0
0
0
0
0
Distance from the centroid to the shear center along the principal Y-axis
Y0
0.988
( 25.1)
0.868
( 22.05)
1.579
( 40.11)
-1.586
( 40.3)
2.740
( 69.59)
Distance from shear center to centroid to mid-plane of web
m
0.60
( 15.1)
0.45
( 11.4)
0.90
( 22.9)
0.901
( 22.9)
1.50
( 38.0)
Net polar radius of gyration about the shear center
r0
1.258
( 31.95)
1.122
( 28.49)
1.814
( 46.07)
1.819
( 46.2)
2.992
( 76.00)
Coefficient for determining critical elastic lateral-torsional buckling stress
β
-
0.4
0.4
0.2
0.2
0.2
1. Tabulated values are in accordance with 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. Allowable moment is the lesser of Ma and Mad.
5. C. G. is the center of gravity of the profile cross-section.
30 Modular Support Systems Technical Guide Edition 2 | Installation Systems Hilti, Inc. 1-800-879-8000 | en español 1-800-879-5000 | www. hilti. com | Hilti( Canada) Corporation | 1-800-363-4458 | www. hilti. ca