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Question 1: A W250x115 steel wide-flange section supports a uniformly distributed line load on a simple span of 5 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of the [1] beam. w KN/m A B 5m

Question 1: A W250x115 steel wide-flange section supports a uniformly distributed line load on a simple span of 5 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of the [1] beam. w KN/m A B 5m

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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Question 1: A W250x115 steel wide-flange section supports a uniformly distributed line load on a simple span of 5 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of the [1] beam. w KN/m В A 5m TABLE G.2 Sl units Coeff. of Thermal Mod. of Mod. of Elasticity Rigidity Ultimate Strength Density kg/m³ x 103 E Tensile Yield Expansion a m/m/C x 10-6 Poisson's Ratio MPa MPa MPa x 10 x 103 Strength F, MPa Material Tens. Comp. Shear Steel ASTM A36 or A501 7.85 207 83 250 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 7.85 207 79.3 210 380 11.7 0.25 Steel AISI 1040 hot-rolled 7.85 207 79.3 290 520 11.7 0.25 Stainless steel (annealed) 7.85 200 80 280 580 410 11.7 0.25 Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum alloy 6061-T6 2.64 70 28 240 260 190 23.6 0.33 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Brass (rolled) 8.56 97 41 340 410 340 18.7 0.34 Bronze (cast) 8.56 83 34 170 230 390 18.2 0.35 Copper (hard drawn) 8.81 103 41 280 380 260 16.7 0.35 Concrete 2.40 21.5 21 9.9 0.20 Concrete 2.40 24.9 28 9.9 0.20
Transcribed Image Text:Question 1: A W250x115 steel wide-flange section supports a uniformly distributed line load on a simple span of 5 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of the [1] beam. w KN/m В A 5m TABLE G.2 Sl units Coeff. of Thermal Mod. of Mod. of Elasticity Rigidity Ultimate Strength Density kg/m³ x 103 E Tensile Yield Expansion a m/m/C x 10-6 Poisson's Ratio MPa MPa MPa x 10 x 103 Strength F, MPa Material Tens. Comp. Shear Steel ASTM A36 or A501 7.85 207 83 250 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 7.85 207 79.3 210 380 11.7 0.25 Steel AISI 1040 hot-rolled 7.85 207 79.3 290 520 11.7 0.25 Stainless steel (annealed) 7.85 200 80 280 580 410 11.7 0.25 Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum alloy 6061-T6 2.64 70 28 240 260 190 23.6 0.33 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Brass (rolled) 8.56 97 41 340 410 340 18.7 0.34 Bronze (cast) 8.56 83 34 170 230 390 18.2 0.35 Copper (hard drawn) 8.81 103 41 280 380 260 16.7 0.35 Concrete 2.40 21.5 21 9.9 0.20 Concrete 2.40 24.9 28 9.9 0.20
TABLE A.2 SI units Designation mm x kg/m Z, x 103 mm³ A bf tw mma mm 10° mmª 10³ mm³ Sy ly mm? 10° mm“ 103 mm mm mm mm mm W1000 × 222 28,300 970 16.0 298 21.1 4080 8410 381 9800 95.3 636 58.2 W920 × 390 49,800 937 21.30 419 36.6 7450 15,900 389 18,000 454 2160 95.5 W840 × 329 42,100 861 19.7 400 32.5 5370 12,400 358 14,000 350 1740 91.2 W610 × 153 19,500 622 14.0 229 24.9 1250 4010 254 4590 49.5 434 50.5 W610 x 113 14,500 607 11.2 229 17.3 874 2880 246 3280 34.3 302 48.8 W530 x 138 17,600 549 14.7 213 23.6 862 3150 221 3620 38.7 362 46.7 W530 x 101 12,900 536 10.9 210 17.4 616 2290 218 2620 26.9 257 45.7 W530 × 72 9100 523 8.89 206 10.9 399 1520 209 1750 16.1 156 42.2 W460 x 60 7610 455 8.00 152 13.3 255 1120 183 1280 7.95 104 32.3 W410 x 100 12,600 414 10.0 260 16.9 397 1920 177 2130 49.5 380 62.5 W360 x 110 14,100 361 11.4 257 19.9 331 1840 153 2060 55.8 436 63 W310 x 202 25,700 340 20.1 314 31.8 516 3050 142 3510 166 1050 80.3 W310 x 107 13,600 312 10.9 305 17.0 248 1600 135 1770 81.2 531 77.2 W310 × 97 12,300 307 9.91 305 15.4 222 1440 134 1590 72.4 477 76.7 W310 x 38.7 4940 310 5.84 165 9.65 84.9 547 131 610 7.2 87.5 38.4 W250 x 115 14,600 269 13.5 260 22.1 189 1410 114 1600 64.1 493 66 W250 x 73 9290 254 8.64 254 14.2 113 895 110 990 38.9 306 64.5 W200 x 59 7550 210 9.14 206 14.2 60.8 582 89.7 652 20.4 200 51.8 W150 x 24 3060 160 6.60 102 10.3 13.4 167 66 192 1.84 36.1 24.6 *Flange and web thicknesses may vary due to mill rolling practices.
Transcribed Image Text:TABLE A.2 SI units Designation mm x kg/m Z, x 103 mm³ A bf tw mma mm 10° mmª 10³ mm³ Sy ly mm? 10° mm“ 103 mm mm mm mm mm W1000 × 222 28,300 970 16.0 298 21.1 4080 8410 381 9800 95.3 636 58.2 W920 × 390 49,800 937 21.30 419 36.6 7450 15,900 389 18,000 454 2160 95.5 W840 × 329 42,100 861 19.7 400 32.5 5370 12,400 358 14,000 350 1740 91.2 W610 × 153 19,500 622 14.0 229 24.9 1250 4010 254 4590 49.5 434 50.5 W610 x 113 14,500 607 11.2 229 17.3 874 2880 246 3280 34.3 302 48.8 W530 x 138 17,600 549 14.7 213 23.6 862 3150 221 3620 38.7 362 46.7 W530 x 101 12,900 536 10.9 210 17.4 616 2290 218 2620 26.9 257 45.7 W530 × 72 9100 523 8.89 206 10.9 399 1520 209 1750 16.1 156 42.2 W460 x 60 7610 455 8.00 152 13.3 255 1120 183 1280 7.95 104 32.3 W410 x 100 12,600 414 10.0 260 16.9 397 1920 177 2130 49.5 380 62.5 W360 x 110 14,100 361 11.4 257 19.9 331 1840 153 2060 55.8 436 63 W310 x 202 25,700 340 20.1 314 31.8 516 3050 142 3510 166 1050 80.3 W310 x 107 13,600 312 10.9 305 17.0 248 1600 135 1770 81.2 531 77.2 W310 × 97 12,300 307 9.91 305 15.4 222 1440 134 1590 72.4 477 76.7 W310 x 38.7 4940 310 5.84 165 9.65 84.9 547 131 610 7.2 87.5 38.4 W250 x 115 14,600 269 13.5 260 22.1 189 1410 114 1600 64.1 493 66 W250 x 73 9290 254 8.64 254 14.2 113 895 110 990 38.9 306 64.5 W200 x 59 7550 210 9.14 206 14.2 60.8 582 89.7 652 20.4 200 51.8 W150 x 24 3060 160 6.60 102 10.3 13.4 167 66 192 1.84 36.1 24.6 *Flange and web thicknesses may vary due to mill rolling practices.
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