Steel Designers Manual - TheBestFriend.org

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Steel Designers' Manual - 6th Edition (2003)
1200 Dimensions and properties
PARALLEL FLANGE CHANNELS
MINOR AXIS REDUCED PLASTIC MODULUS UNDER AXIAL LOAD
Section Dimension Plastic Minor Axis reduced Modulus under axial load about centroidal axis
Designation Modulus
Axis Axial load and moment inducing stresses Change Axial load and moment inducing stresses
y-y of the same kind towards back of web Formula
at n =
of the opposite kind towards back of web
Lower Values of n Higher Values of n Lower Values of n Higher Values of n
Cy
cm cm 3
K1 K2 K3 K1 K2 K3 K1 K2 K3 K1 K2 K3
430 ¥ 100 ¥ 64 2.62 176 176 39.2 3.49 162 443 0.634 0.152 176 39.2 3.49 176 39.2 3.49
380 ¥ 100 ¥ 54 2.79 161 161 31.1 4.17 158 338 0.532 0.0503 161 31.1 4.17 161 31.1 4.17
300 ¥ 100 ¥ 46 3.05 148 148 255 0.419 148 255 0.419 0.0689 148 255 0.419 149 28.0 4.32
300 ¥ 90 ¥ 41 2.60 114 114 23.2 3.92 113 224 0.495 0.0241 114 23.2 3.92 114 23.2 3.92
260 ¥ 90 ¥ 35 2.74 102 102 176 0.419 102 176 0.419 0.0626 102 176 0.419 103 18.9 4.42
260 ¥ 75 ¥ 28 2.10 62.0 62.0 11.9 4.22 61.0 129 0.525 0.0359 62.0 11.9 4.22 62.0 11.9 4.22
230 ¥ 90 ¥ 32 2.92 98.9 98.9 150 0.338 99.1 150 0.338 0.158 98.9 150 0.338 101 18.2 4.56
230 ¥ 75 ¥ 26 2.30 63.2 63.2 107 0.410 63.1 107 0.410 0.0854 63.2 107 0.410 63.6 11.6 4.47
200 ¥ 90 ¥ 30 3.12 94.5 94.5 128 0.261 94.5 128 0.261 0.260 94.5 128 0.261 100 17.9 4.60
200 ¥ 75 ¥ 23 2.48 60.6 60.6 89.2 0.318 60.6 89.2 0.318 0.196 60.6 89.2 0.318 62.8 11.2 4.64
180 ¥ 90 ¥ 26 3.17 83.5 83.5 110 0.242 83.5 110 0.242 0.295 83.5 110 0.242 89.8 15.3 4.87
180 ¥ 75 ¥ 20 2.41 51.8 51.8 79.9 0.350 51.9 79.9 0.350 0.166 51.8 79.9 0.350 53.1 9.32 4.70
150 ¥ 90 ¥ 24 3.30 76.9 76.9 96.3 0.201 76.9 96.3 0.201 0.359 76.9 96.3 0.201 85.0 15.4 4.52
150 ¥ 75 ¥ 18 2.58 47.2 47.2 64.8 0.271 47.2 64.8 0.271 0.275 47.2 64.8 0.271 50.1 8.64 4.80
125 ¥ 65 ¥ 15 # 2.25 33.2 33.2 46.5 0.281 33.4 46.5 0.281 0.269 33.2 46.5 0.281 35.2 7.07 3.98
100 ¥ 50 ¥ 10 # 1.73 17.5 17.5 24.8 0.291 17.6 24.8 0.291 0.231 17.5 24.8 0.291 18.3 4.22 3.33
# Check availability.
Cy is the distance from the back of the web to the centroidal axis.
n = F/(Ag ·py), where F is the factored axial load, Ag is the gross cross sectional area and py is the design strength of the section.
For axial load and moment inducing stresses of the same kind towards back of web, the reduced plastic modulus, Sr = K1 + K2.n.(K3 - n)
For axial load and moment inducing stresses of the opposite kind towards back of web, the reduced plastic modulus, Sr = K1 - K2.n.(K3 + n)