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Problem #2: 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 [1] weight and use ASTM A992 steel.

Problem #2: 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 [1] weight and use ASTM A992 steel.

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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TABLE A.1 U.S. Customary units Designation A in.2 W40 X 277 W36 x 302 W36 x 194 W36 x 150 W33 x 118 W30 x 108 W30 x 99 W27 x 114 W27 x 94 W24 x 162 W24 x 104 W24 x 84 W24 x 76 W21 x 83 W21 x 73 W21 x 62 W21 x 50 W18 x 71 W18 x 60 W18 x 50 W18 x 40 W16 x 100 W16 x 45 W16 x 36 W16 x 26 in. din. by in. S, in.¹ , in. 2, in.³ 81 5 39.7 0.830 15.8 1.58 21,900 1100 16.4 1250 89.0 37.3 0.945 16.7 1.68 21,100 1130 15.4 1280 57.0 36.5 0.765 12.1 1.26 12,100 664 14.6 767 44.3 35.9 0.625 12.0 0.94 9040 504 14.3 581 34.7 32.9 0.550 11.5 0.74 5900 359 13.0 415 31.7 29.8 0.545 10.5 0.76 4470 299 11.9 346 29.0 29.7 0.520 10.5 0.67 3990 269 11.7 312 33.6 27.3 0.570 10.1 0.93 4080 299 11.0 343 27.6 26.9 0.490 10.0 0.745 3270 243 10.9 278 47.8 25.0 0.705 13.0 1.22 5170 414 10.4 468 30.7 24.1 0.500 12.8 0.75 3100 258 10.1 289 24.7 24.1 0.470 9.02 0.77 2370 196 9.79 224 22.4 23.9 0.440 8.99 0.68 2100 1.92 176 9.69 200 1830 24.4 21.4 0.515 8.36 0.835 171 8.67 196 1.83 8.3 0.74 21.5 1600 21.2 0.455 151 8.64 172 70.6 1.81 18.3 8.24 0.615 21.0 57.5 1330 0.400 127 1.77 8.54 144 14.7 0.380 6.53 0.535 20.8 984 24.9 8.18 110 7.64 1.3 18.5 7.64 0.81 0.495 127 1170 20.9 7.5 146 15.8 1.7 60.3 7.56 0.695 18.2 0.415 984 17.6 108 7.47 123 50.1 13.3 1.68 0.355 0.57 7.5 14.7 101 800 18.0 88.9 7.38 40.1 1.65 10.7 68.4 7.21 78.4 6.02 0.525 0.315 19.1 6.35 1.27 11.8 17.9 0.985 0.585 10.4 29.4 175 198 186 17.0 7.1 2.51 35.7 6.65 82.3 9.34 1.57 13.3 7.04 0.565 0.345 16.1 7.0 1.52 6.51 64.0 10.6 15.9 0.295 6.99 0.43 6.26 44.2 3.49 1.12 0.250 5.5 7.68 15.7 612 1490 586 448 0.345 301 94.5 1, in. S, in , in. 1040 132 3.58 1300 156 3.82 375 61.9 2.56 270 45.1 2.47 187 32.6 2.32 146 27.9 2.15 128 24.5 2.1 159 31.5 2.18 124 24.8 2.12 443 68.4 3.05 259 40.7 2.91 20.9 18.4 19.5 17.0 14.0 72.7 56.5 38.4 94.4 82.5 81.4 32.8 24.5 9.59 1.95
Transcribed Image Text:TABLE A.1 U.S. Customary units Designation A in.2 W40 X 277 W36 x 302 W36 x 194 W36 x 150 W33 x 118 W30 x 108 W30 x 99 W27 x 114 W27 x 94 W24 x 162 W24 x 104 W24 x 84 W24 x 76 W21 x 83 W21 x 73 W21 x 62 W21 x 50 W18 x 71 W18 x 60 W18 x 50 W18 x 40 W16 x 100 W16 x 45 W16 x 36 W16 x 26 in. din. by in. S, in.¹ , in. 2, in.³ 81 5 39.7 0.830 15.8 1.58 21,900 1100 16.4 1250 89.0 37.3 0.945 16.7 1.68 21,100 1130 15.4 1280 57.0 36.5 0.765 12.1 1.26 12,100 664 14.6 767 44.3 35.9 0.625 12.0 0.94 9040 504 14.3 581 34.7 32.9 0.550 11.5 0.74 5900 359 13.0 415 31.7 29.8 0.545 10.5 0.76 4470 299 11.9 346 29.0 29.7 0.520 10.5 0.67 3990 269 11.7 312 33.6 27.3 0.570 10.1 0.93 4080 299 11.0 343 27.6 26.9 0.490 10.0 0.745 3270 243 10.9 278 47.8 25.0 0.705 13.0 1.22 5170 414 10.4 468 30.7 24.1 0.500 12.8 0.75 3100 258 10.1 289 24.7 24.1 0.470 9.02 0.77 2370 196 9.79 224 22.4 23.9 0.440 8.99 0.68 2100 1.92 176 9.69 200 1830 24.4 21.4 0.515 8.36 0.835 171 8.67 196 1.83 8.3 0.74 21.5 1600 21.2 0.455 151 8.64 172 70.6 1.81 18.3 8.24 0.615 21.0 57.5 1330 0.400 127 1.77 8.54 144 14.7 0.380 6.53 0.535 20.8 984 24.9 8.18 110 7.64 1.3 18.5 7.64 0.81 0.495 127 1170 20.9 7.5 146 15.8 1.7 60.3 7.56 0.695 18.2 0.415 984 17.6 108 7.47 123 50.1 13.3 1.68 0.355 0.57 7.5 14.7 101 800 18.0 88.9 7.38 40.1 1.65 10.7 68.4 7.21 78.4 6.02 0.525 0.315 19.1 6.35 1.27 11.8 17.9 0.985 0.585 10.4 29.4 175 198 186 17.0 7.1 2.51 35.7 6.65 82.3 9.34 1.57 13.3 7.04 0.565 0.345 16.1 7.0 1.52 6.51 64.0 10.6 15.9 0.295 6.99 0.43 6.26 44.2 3.49 1.12 0.250 5.5 7.68 15.7 612 1490 586 448 0.345 301 94.5 1, in. S, in , in. 1040 132 3.58 1300 156 3.82 375 61.9 2.56 270 45.1 2.47 187 32.6 2.32 146 27.9 2.15 128 24.5 2.1 159 31.5 2.18 124 24.8 2.12 443 68.4 3.05 259 40.7 2.91 20.9 18.4 19.5 17.0 14.0 72.7 56.5 38.4 94.4 82.5 81.4 32.8 24.5 9.59 1.95
Problem #2: 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. [1] SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD R M max 414 Material Steel ASTM A36 or A501 Steel (high-strength low-alloy) ASTM A992 Steel AISI 1020 hot rolled TABLE G.1 U.S. Customary units Steel AISI 1040 hot-rolled Stainless steel (annealed) Cast iron (gray) Aluminum alloy 6061-76 Shear Titanium alloy Magnesium alloy Brass (rolled) Bronze (cast) Copper (hard drawn) Concrete Concrete w/ Moment Density pcf 490 490 490 490 490 165 275 112 535 535 550 R 150 150 30,000 30,000 Mod. of Mod, of Elasticity Rigidity E ksi G ksi 30,000 12,000 29,000 15,000 10.000 R=V 16,500 6500 14,000 12,000 15,000 V, M max (at center) 30,000 11,500 3120 3605 M₁ Amax (at center), 12,000 11,500 11,600 6000 4000 6500 2400 6000 5000 6000 Tensile Yield Strength F₁ ksi 36 50 30 42 40 35 130 20 50 25 40 Ultimate Strength ksi Tens. 58 65 229 28 2985 S 20 140 Comp. Shear 80 8 3.0 4.0 888 33 8 100 50 w/2 8 38 $(1-x) 5114 384E1 Coeff, of Thermal Expansion a in/in./F * 10-6 6.5 24/(-2/²+1) 6.5 6.5 65 6.5 5.9 13.1 54 14,5 10.4 10.N 9.3 55 5.5 Poisson's Ratio " 0.25 0.25 0.25 025 0.25 0.26 0.33 0.34 0.34 0.35 0.35 0:20 0.30
Transcribed Image Text:Problem #2: 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. [1] SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD R M max 414 Material Steel ASTM A36 or A501 Steel (high-strength low-alloy) ASTM A992 Steel AISI 1020 hot rolled TABLE G.1 U.S. Customary units Steel AISI 1040 hot-rolled Stainless steel (annealed) Cast iron (gray) Aluminum alloy 6061-76 Shear Titanium alloy Magnesium alloy Brass (rolled) Bronze (cast) Copper (hard drawn) Concrete Concrete w/ Moment Density pcf 490 490 490 490 490 165 275 112 535 535 550 R 150 150 30,000 30,000 Mod. of Mod, of Elasticity Rigidity E ksi G ksi 30,000 12,000 29,000 15,000 10.000 R=V 16,500 6500 14,000 12,000 15,000 V, M max (at center) 30,000 11,500 3120 3605 M₁ Amax (at center), 12,000 11,500 11,600 6000 4000 6500 2400 6000 5000 6000 Tensile Yield Strength F₁ ksi 36 50 30 42 40 35 130 20 50 25 40 Ultimate Strength ksi Tens. 58 65 229 28 2985 S 20 140 Comp. Shear 80 8 3.0 4.0 888 33 8 100 50 w/2 8 38 $(1-x) 5114 384E1 Coeff, of Thermal Expansion a in/in./F * 10-6 6.5 24/(-2/²+1) 6.5 6.5 65 6.5 5.9 13.1 54 14,5 10.4 10.N 9.3 55 5.5 Poisson's Ratio " 0.25 0.25 0.25 025 0.25 0.26 0.33 0.34 0.34 0.35 0.35 0:20 0.30
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