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A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam weight and use ASTM A992 steel. TABLE A.1 U.S. Customary units Designation A in? din. L in. bin. tin. ,in S, in , in Z,in ,in S, in. in. W40 x 277 81.5 39.7 0.830 158 1.58 21.900 1100 16.4 1250 1040 132 3.58 W36 x 302 89.0 373 0945 16.7 1.68 21,100 1130 15.4 1280 1300 156 3.82 R=V W36 x 194 57.0 36.5 0.765 12.1 1.26 12.100 664 146 767 375 619 2.56 W36 x 150 443 35.9 0.625 120 094 9040 504 143 581 270 45.1 247 M max (at center).. W33 x 118 34.7 329 0.50 11.5 0.74 5900 359 13.0 415 187 326 232 W30 x 108 31.7 298 0.545 10.5 0.76 4470 299 119 346 146 279 2.15 Shear W30 x 99 290 29.7 0.520 10.5 067 390 269 117 312 128 245 21 S 384E Amax (at center) M mas W27 x 114 33.6 273 0.570 10.1 093 4080 299 11.0 343 199 31.5 218 W27 x 94 276 269 0.490 10.0 0.745 3270 243 109 278 124 248 212 Moment W24 x 162 478 25.0 0.705 13.0 122 5170 414 10.4 468 443 684 3.05 W24 x 104 30.7 24.1 0.500 128 0.75 3100 258 10.1 289 259 40.7 291 TABLE G.1 U.S. Customary units W24 x 84 24.7 24.1 0.470 9.02 0.7 2370 196 9.79 224 944 209 195 Co Thermal Expansion Poisson's Mod. of Mod. of Tensile Yield Elasticity Rity Uimate Stength W24 x 76 224 23.9 0.440 8.99 068 2100 176 9.69 200 825 184 192 Stength Density pef Ratie Material 10 W21 x 83 244 21.4 0515 8.36 0.835 1830 171 8.67 196 81.4 195 183 Tens Comp Shear Sel ASTMASor 0 30000 12.000 36 58 65 025 W21 x 73 21.5 21.2 0.456 83 0.74 1600 151 8.64 172 70.6 170 181 S ger 0 low aloy ASTM 30000 12.000 50 65 025 W21 x 62 183 21.0 0.400 824 0615 1330 127 8.54 144 575 140 177 W21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 110 249 7.64 13 W18 x 71 209 185 0.496 7.64 081 110 127 15 146 603 158 17 W18 x 60 176 182 0415 7.56 0.696 984 108 747 123 50.1 133 1.68 W18 x 50 14.7 180 0.355 15 0.57 800 889 738 101 40.1 10.7 1.65 W18 x 40 11.8 179 0315 6.02 0.525 612 684 121 784 191 6.35 127 W16 x 100 294 17.0 0.585 10.4 0985 1490 175 7.1 198 186 35.7 251 W16 x 45 133 16.1 0.345 7.04 0565 586 727 6.65 823 328 9.34 157 W16 x 36 10.6 159 0.296 699 043 448 565 6.51 64.0 245 7.0 1.52 W16 x 26 7.68 15.7 0250 55 0.345 301 384 6.26 44.2 9.59 3.49 12

A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam weight and use ASTM A992 steel. TABLE A.1 U.S. Customary units Designation A in? din. L in. bin. tin. ,in S, in , in Z,in ,in S, in. in. W40 x 277 81.5 39.7 0.830 158 1.58 21.900 1100 16.4 1250 1040 132 3.58 W36 x 302 89.0 373 0945 16.7 1.68 21,100 1130 15.4 1280 1300 156 3.82 R=V W36 x 194 57.0 36.5 0.765 12.1 1.26 12.100 664 146 767 375 619 2.56 W36 x 150 443 35.9 0.625 120 094 9040 504 143 581 270 45.1 247 M max (at center).. W33 x 118 34.7 329 0.50 11.5 0.74 5900 359 13.0 415 187 326 232 W30 x 108 31.7 298 0.545 10.5 0.76 4470 299 119 346 146 279 2.15 Shear W30 x 99 290 29.7 0.520 10.5 067 390 269 117 312 128 245 21 S 384E Amax (at center) M mas W27 x 114 33.6 273 0.570 10.1 093 4080 299 11.0 343 199 31.5 218 W27 x 94 276 269 0.490 10.0 0.745 3270 243 109 278 124 248 212 Moment W24 x 162 478 25.0 0.705 13.0 122 5170 414 10.4 468 443 684 3.05 W24 x 104 30.7 24.1 0.500 128 0.75 3100 258 10.1 289 259 40.7 291 TABLE G.1 U.S. Customary units W24 x 84 24.7 24.1 0.470 9.02 0.7 2370 196 9.79 224 944 209 195 Co Thermal Expansion Poisson's Mod. of Mod. of Tensile Yield Elasticity Rity Uimate Stength W24 x 76 224 23.9 0.440 8.99 068 2100 176 9.69 200 825 184 192 Stength Density pef Ratie Material 10 W21 x 83 244 21.4 0515 8.36 0.835 1830 171 8.67 196 81.4 195 183 Tens Comp Shear Sel ASTMASor 0 30000 12.000 36 58 65 025 W21 x 73 21.5 21.2 0.456 83 0.74 1600 151 8.64 172 70.6 170 181 S ger 0 low aloy ASTM 30000 12.000 50 65 025 W21 x 62 183 21.0 0.400 824 0615 1330 127 8.54 144 575 140 177 W21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 110 249 7.64 13 W18 x 71 209 185 0.496 7.64 081 110 127 15 146 603 158 17 W18 x 60 176 182 0415 7.56 0.696 984 108 747 123 50.1 133 1.68 W18 x 50 14.7 180 0.355 15 0.57 800 889 738 101 40.1 10.7 1.65 W18 x 40 11.8 179 0315 6.02 0.525 612 684 121 784 191 6.35 127 W16 x 100 294 17.0 0.585 10.4 0985 1490 175 7.1 198 186 35.7 251 W16 x 45 133 16.1 0.345 7.04 0565 586 727 6.65 823 328 9.34 157 W16 x 36 10.6 159 0.296 699 043 448 565 6.51 64.0 245 7.0 1.52 W16 x 26 7.68 15.7 0250 55 0.345 301 384 6.26 44.2 9.59 3.49 12

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam weight and use ASTM A992 steel. TABLE A.1 U.S. Customary units Designation A in.? din. ty in. by in. tyin. I, in. S, in. 1, in. z, in. 1, in. S, in. , in. W40 x 277 81.5 39.7 0.830 15.8 1.58 21,900 1100 16.4 1250 1040 132 3.58 W36 x 302 89.0 37.3 0.945 16.7 1.68 21,100 1130 15.4 1280 1300 156 3.82 R= V wl 2 W36 x 194 57.0 36.5 0.765 12.1 1.26 12,100 664 14.6 767 375 61.9 2.56 R V, W36 x 150 44.3 35.9 0,625 12.0 0,94 9040 504 14.3 581 270 45.1 2.47 M max (at center) W33 x 118 34.7 32.9 0.550 11.5 0.74 5900 359 13.0 415 187 32.6 2.32 W30 x 108 31.7 29.8 0.545 10.5 0.76 4470 299 11.9 346 146 27.9 2.15 M, X (1 – x) Shear W30 x 99 29.0 29.7 0.520 10.5 0.67 3990 269 11.7 312 128 24.5 2.1 5w4 384EI Amax (at center). M max W27 x 114 33.6 27.3 0.570 10.1 0.93 4080 299 11.0 343 159 31.5 2.18 WX (13 A, ·... = AE3 – 2lx2 + x3) W27 x 94 27.6 26.9 0.490 10.0 0.745 3270 243 10.9 278 124 24.8 2.12 Moment W24 x 162 47.8 25.0 0.705 13.0 1.22 5170 414 10.4 468 443 68.4 3.05 W24 x 104 30.7 24.1 0.500 12.8 0.75 3100 258 10.1 289 259 40.7 2.91 TABLE G.1 U.S. Customary units W24 x 84 24.7 24.1 0.470 9.02 0.77 2370 196 9.79 224 94.4 20.9 1.95 Coeff. of Mod. of Elasticity Rigidity G Mod. of Tensile Yield Strength Fy ksi Thermal Ultimate Strength W24 x 76 22.4 23,9 0.440 8.99 0.68 2100 176 9.69 200 82.5 18.4 1.92 Expansion a in Sin./F x 10-6 Poisson's ksi Density pcf E Ratio Material ksi ksi Tens. Comp. Shear W21 x 83 24.4 21.4 0.515 8.36 0.835 1830 171 8.67 196 81.4 19.5 1.83 Steel ASTM A36 A501 490 30,000 12,000 36 58 0.25 W21 x 73 21.5 21.2 0.455 8.3 0.74 1600 151 8,64 172 70.6 17.0 1.81 Steel (high-strength low-alloy) ASTM A992 490 30,000 12,000 50 65 6.5 0.25 W21 x 62 18.3 21.0 0.400 8.24 0.615 1330 127 8,54 144 57.5 14.0 1.77 W21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 110 24,9 7.64 1.3 W18 x 71 20.9 18.5 0.495 7.64 0.81 1170 127 7.5 146 60.3 15.8 1.7 W18 x 60 17.6 18.2 0.415 7.56 0.695 984 108 7.47 123 50.1 13.3 1.68 W18 x 50 14.7 18.0 0.355 7.5 0.57 800 88.9 7.38 101 40.1 10.7 1.65 W18 x 40 11.8 17.9 0.315 6.02 0.525 612 68.4 7.21 78.4 19.1 6.35 1.27 W16 x 100 29.4 17.0 0.585 10.4 0.985 1490 175 7.1 198 186 35.7 2.51 W16 x 45 13.3 16.1 0.345 7.04 0.565 586 72.7 6.65 82.3 32.8 9.34 1.57 W16 x 36 10.6 15.9 0.295 6.99 0.43 448 56.5 6.51 64.0 24.5 7.0 1.52 W16 x 26 7.68 15.7 0.250 5.5 0.345 301 38.4 6.26 44.2 9.59 3.49 1.12
Transcribed Image Text:A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam weight and use ASTM A992 steel. TABLE A.1 U.S. Customary units Designation A in.? din. ty in. by in. tyin. I, in. S, in. 1, in. z, in. 1, in. S, in. , in. W40 x 277 81.5 39.7 0.830 15.8 1.58 21,900 1100 16.4 1250 1040 132 3.58 W36 x 302 89.0 37.3 0.945 16.7 1.68 21,100 1130 15.4 1280 1300 156 3.82 R= V wl 2 W36 x 194 57.0 36.5 0.765 12.1 1.26 12,100 664 14.6 767 375 61.9 2.56 R V, W36 x 150 44.3 35.9 0,625 12.0 0,94 9040 504 14.3 581 270 45.1 2.47 M max (at center) W33 x 118 34.7 32.9 0.550 11.5 0.74 5900 359 13.0 415 187 32.6 2.32 W30 x 108 31.7 29.8 0.545 10.5 0.76 4470 299 11.9 346 146 27.9 2.15 M, X (1 – x) Shear W30 x 99 29.0 29.7 0.520 10.5 0.67 3990 269 11.7 312 128 24.5 2.1 5w4 384EI Amax (at center). M max W27 x 114 33.6 27.3 0.570 10.1 0.93 4080 299 11.0 343 159 31.5 2.18 WX (13 A, ·... = AE3 – 2lx2 + x3) W27 x 94 27.6 26.9 0.490 10.0 0.745 3270 243 10.9 278 124 24.8 2.12 Moment W24 x 162 47.8 25.0 0.705 13.0 1.22 5170 414 10.4 468 443 68.4 3.05 W24 x 104 30.7 24.1 0.500 12.8 0.75 3100 258 10.1 289 259 40.7 2.91 TABLE G.1 U.S. Customary units W24 x 84 24.7 24.1 0.470 9.02 0.77 2370 196 9.79 224 94.4 20.9 1.95 Coeff. of Mod. of Elasticity Rigidity G Mod. of Tensile Yield Strength Fy ksi Thermal Ultimate Strength W24 x 76 22.4 23,9 0.440 8.99 0.68 2100 176 9.69 200 82.5 18.4 1.92 Expansion a in Sin./F x 10-6 Poisson's ksi Density pcf E Ratio Material ksi ksi Tens. Comp. Shear W21 x 83 24.4 21.4 0.515 8.36 0.835 1830 171 8.67 196 81.4 19.5 1.83 Steel ASTM A36 A501 490 30,000 12,000 36 58 0.25 W21 x 73 21.5 21.2 0.455 8.3 0.74 1600 151 8,64 172 70.6 17.0 1.81 Steel (high-strength low-alloy) ASTM A992 490 30,000 12,000 50 65 6.5 0.25 W21 x 62 18.3 21.0 0.400 8.24 0.615 1330 127 8,54 144 57.5 14.0 1.77 W21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 110 24,9 7.64 1.3 W18 x 71 20.9 18.5 0.495 7.64 0.81 1170 127 7.5 146 60.3 15.8 1.7 W18 x 60 17.6 18.2 0.415 7.56 0.695 984 108 7.47 123 50.1 13.3 1.68 W18 x 50 14.7 18.0 0.355 7.5 0.57 800 88.9 7.38 101 40.1 10.7 1.65 W18 x 40 11.8 17.9 0.315 6.02 0.525 612 68.4 7.21 78.4 19.1 6.35 1.27 W16 x 100 29.4 17.0 0.585 10.4 0.985 1490 175 7.1 198 186 35.7 2.51 W16 x 45 13.3 16.1 0.345 7.04 0.565 586 72.7 6.65 82.3 32.8 9.34 1.57 W16 x 36 10.6 15.9 0.295 6.99 0.43 448 56.5 6.51 64.0 24.5 7.0 1.52 W16 x 26 7.68 15.7 0.250 5.5 0.345 301 38.4 6.26 44.2 9.59 3.49 1.12
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