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This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition (2003) PARALLEL FLANGE CHANNELS Dimensions and properties 1199 MAJOR AXIS REDUCED PLASTIC MODULUS UNDER AXIAL LOAD Section Area Dimension Plastic Major Axis Reduced Modulus Designation of Modulus Section Axis Lower Values Change Higher Values x-x of n Formula of n A eoCs Cy Ceq at n = cm 2 cm cm cm cm cm 3 K1 K2 K3 K4 430 ¥ 100 ¥ 64 82.1 3.27 5.34 2.62 0.954 1220 1220 1530 0.525 168 9.48 380 ¥ 100 ¥ 54 68.7 3.48 5.79 2.79 0.904 933 933 1240 0.477 118 10.1 300 ¥ 100 ¥ 46 58.0 3.68 6.29 3.05 1.31 641 641 934 0.414 84.1 9.35 300 ¥ 90 ¥ 41 52.7 3.18 5.33 2.60 0.879 568 568 772 0.459 77.2 9.24 260 ¥ 90 ¥ 35 44.4 3.32 5.66 2.74 1.14 425 425 615 0.418 54.7 9.55 260 ¥ 75 ¥ 28 35.1 2.62 4.37 2.10 0.676 328 328 441 0.470 41.2 10.1 230 ¥ 90 ¥ 32 41.0 3.46 6.01 2.92 1.69 355 355 559 0.370 46.6 9.11 230 ¥ 75 ¥ 26 32.7 2.78 4.75 2.30 1.03 278 278 411 0.408 35.6 9.55 200 ¥ 90 ¥ 30 37.9 3.60 6.37 3.12 2.24 291 291 512 0.318 39.8 8.51 200 ¥ 75 ¥ 23 29.9 2.91 5.09 2.48 1.53 227 227 372 0.352 29.7 9.04 180 ¥ 90 ¥ 26 33.2 3.64 6.48 3.17 2.36 232 232 424 0.304 30.6 8.76 180 ¥ 75 ¥ 20 25.9 2.87 4.98 2.41 1.34 176 176 280 0.368 22.4 9.42 150 ¥ 90 ¥ 24 30.4 3.71 6.69 3.30 2.66 179 179 356 0.269 25.7 7.88 150 ¥ 75 ¥ 18 22.8 2.99 5.29 2.58 1.81 132 132 236 0.314 17.3 8.88 125 ¥ 65 ¥ 15 # 18.8 2.56 4.53 2.25 1.55 89.9 89.9 161 0.310 13.6 7.64 100 ¥ 50 ¥ 10 # 13.0 1.94 3.43 1.73 1.18 48.9 48.9 84.5 0.319 8.45 6.69 # Check availability. eo is the distance from the centre of the web to the shear centre. Cs is the distance from the centriodal axis to the shear centre. Cy is the distance from the back of the web to the centroidal axis. Ceq is the distance from the back of the web to the equal area 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 lower values of n, the reduced plastic modulus, Sr = K1 - K2.n 2 For higher values of n, the reduced plastic modulus, Sr = K3(1 - n)(K4 + n)
This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ 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)
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