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A simply supported steel beam EVEN: 12m long carries a uniformly distributed load of 22KN/m load over the entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120MPa? What is the actual stress in the beam selected?

A simply supported steel beam EVEN: 12m long carries a uniformly distributed load of 22KN/m load over the entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120MPa? What is the actual stress in the beam selected?

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 steel beam EVEN: 12m long carries a uniformly distributed load of 22KN/m load over the entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120MPa? What is the actual stress in the beam selected?
Transcribed Image Text:A simply supported steel beam EVEN: 12m long carries a uniformly distributed load of 22KN/m load over the entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120MPa? What is the actual stress in the beam selected?
TABLE B-2 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES SI UNITS (Continued) Desigration W3303219 能 X182 X165 X150 XIN X123 X109 X101 文化 X55 W460 X177 X158 X144 X128 X113 X106 X97 大家 2 X74 为加 0619 Theoretical Pane 2189 196.5 C310X45 门 X31 181.7 165.3 150.6 138.3 123.2 109.0 101.4 92.5 84.7 74,7 65.7 C200×28 X21 X17 177.3 157.7 144.6 128.4 113.1 105.8 96.6 89.3 81.9 74.2 68.1 60.9 Theoretical mass IERR C380X74 60 50.5 50 74.4 59.4 C250×45 39 30 29.6 3 22.6 Area - 27 900 25 000 23 100 21 100 C230 x30 29.8 2 22.3 x20 19.8 19 200 17 600 15 700 13 900 12 900 11 800 10 500 10 800 9 520 8 370 22 600 20 100 18 400 27.9 20.4 17.0 16 400 14 400 13 500 12 300 11 400 10 400 9450 44.7 5690 37.1 4720 30.8 3920 9 480 7 570 6 430 44.5 5 670 37.3 4750 3780 2 880 Deporth With Thiness mm www 560 318 316 315 3 800 2840 2530 554 551 546 543 549 544 $ 680 7 760 450 3560 2600 2170 539 537 533 528 535 529 525 喜星云两两深深R芮芮芮芮约约约穿穿穿 476 472 463 469 466 463 460 457 a 别关台可共有商追追追 汽关兴兴民正田白云区县要 313 76 73 69 65 312 67 63 61 214 64 59 57 212 211 209 TABLE B-4 PROPERTIES OF CHANNEL SECTIONS: SI UNITS Designation (kg/m) (mm) (mm) (mm) (mm) 94 209 166 166 Flange 165 286 284 Flange Area Depth Width Thickness 283 282 280 193 192 189 86 80 12.7 竹 12.7 74 12.7 16.5 16.5 16.5 ALL 11.1 29.2 10.5 10.5 10.5 24.4 22.2 20.3 23.6 21.2 家家 17,4 15.6 9.9 9.9 9.9 16.5 13.6 26.9 23.9 22.1 19.6 17.3 20.6 19.0 17.7 16.0 14.5 12.7 10.8 Web thickness (mm) 18.2 13.2 10.2 9.6 6.1 11.4 7.2 5.9 ress g 12.4 7.7 5.6 16.5 15.2 14.0 12.7 147 13.1 11.6 10.9 10.2 13.0 9.8 7.2 17.1- 9.5 10.3 9.7 8.9 16.6 15.0 13.6 12.2 10.8 126 11.4 10.5 9.0 很多 8.1 168 145 131 67.3 59.9 53.5 42.8 37.9 32.7 27.8 25.5 21.3 19.8 10 18.2 14.9 13.5 1510 1340 1240 1 110 1010 861 761 667 617 552 479 411 351 910 796 726 637 556 488 445 410 370 333 300 259 760 687 442 393 351 337 299 257 219 Axis E-E 222 186 173 (1P h m 180 147 133 5390 4840 4060 3710 3140 Axis X-X 2480 2 300 2070 1810 1810 1 550 1340 3780 3.350 3080 2730 2400 2080 1910 1770 1610 1460 1320 1150 133 138 143 109 113 117 A 81.9 86.6 来了 2010 232 232 229 71.5 75.7 78.9 229 221 220 219 219 216 214 212 205 201 199 199 197 196 190 190 190 189 188 183 4.60 3.84 3.39 2.12 1.85 86.9 1.60 89.3 1.40 93.0 98.2 1.59 1.16 0.922 1.01 0.806 0.716 I of 0.825 0.627 0.544 2 157 139 127 114 103 38.7 33.8 29.5 23.8 20.3 12.6 10.4 1 1 - YIJA 1 r - YA K (10° mm) (10° mm) (mm) (10 mm) (10P mm) (mm) (mm) 装行 105 91.4 83.6 73.3 63.3 25.1 22.8 20.9 18.6 16.6 146 12.2 Axis Y-Y 33.6 30.9 62.4 55.5 51.4 28.2 Ai Y-Y 26.8 24.3 21.5 18.8 (10² mm) 986 877 BON 726 659 19.3 16.8 15.6 16.6 13.9 12.8 319 会将肉肉法BA革 RBRA梦的与并奖给B的 280 256 104 735 153 129 22.0 22.5 23.0 19.3 19.8 20.1 16.8 17.2 17.5 17.9 16.3 16.8 16.8 r-DA (mm) 15.2 没写 15.8 75.0 74.6 74.1 715 73.2 6.4 45.7 39dda Glasses99996 20.3 19.7 20.0 17.0 17.1 17.5 16.3 15.7. 15.3 15.9 15.1 144 14.0 14.3 14.8 14.9
Transcribed Image Text:TABLE B-2 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES SI UNITS (Continued) Desigration W3303219 能 X182 X165 X150 XIN X123 X109 X101 文化 X55 W460 X177 X158 X144 X128 X113 X106 X97 大家 2 X74 为加 0619 Theoretical Pane 2189 196.5 C310X45 门 X31 181.7 165.3 150.6 138.3 123.2 109.0 101.4 92.5 84.7 74,7 65.7 C200×28 X21 X17 177.3 157.7 144.6 128.4 113.1 105.8 96.6 89.3 81.9 74.2 68.1 60.9 Theoretical mass IERR C380X74 60 50.5 50 74.4 59.4 C250×45 39 30 29.6 3 22.6 Area - 27 900 25 000 23 100 21 100 C230 x30 29.8 2 22.3 x20 19.8 19 200 17 600 15 700 13 900 12 900 11 800 10 500 10 800 9 520 8 370 22 600 20 100 18 400 27.9 20.4 17.0 16 400 14 400 13 500 12 300 11 400 10 400 9450 44.7 5690 37.1 4720 30.8 3920 9 480 7 570 6 430 44.5 5 670 37.3 4750 3780 2 880 Deporth With Thiness mm www 560 318 316 315 3 800 2840 2530 554 551 546 543 549 544 $ 680 7 760 450 3560 2600 2170 539 537 533 528 535 529 525 喜星云两两深深R芮芮芮芮约约约穿穿穿 476 472 463 469 466 463 460 457 a 别关台可共有商追追追 汽关兴兴民正田白云区县要 313 76 73 69 65 312 67 63 61 214 64 59 57 212 211 209 TABLE B-4 PROPERTIES OF CHANNEL SECTIONS: SI UNITS Designation (kg/m) (mm) (mm) (mm) (mm) 94 209 166 166 Flange 165 286 284 Flange Area Depth Width Thickness 283 282 280 193 192 189 86 80 12.7 竹 12.7 74 12.7 16.5 16.5 16.5 ALL 11.1 29.2 10.5 10.5 10.5 24.4 22.2 20.3 23.6 21.2 家家 17,4 15.6 9.9 9.9 9.9 16.5 13.6 26.9 23.9 22.1 19.6 17.3 20.6 19.0 17.7 16.0 14.5 12.7 10.8 Web thickness (mm) 18.2 13.2 10.2 9.6 6.1 11.4 7.2 5.9 ress g 12.4 7.7 5.6 16.5 15.2 14.0 12.7 147 13.1 11.6 10.9 10.2 13.0 9.8 7.2 17.1- 9.5 10.3 9.7 8.9 16.6 15.0 13.6 12.2 10.8 126 11.4 10.5 9.0 很多 8.1 168 145 131 67.3 59.9 53.5 42.8 37.9 32.7 27.8 25.5 21.3 19.8 10 18.2 14.9 13.5 1510 1340 1240 1 110 1010 861 761 667 617 552 479 411 351 910 796 726 637 556 488 445 410 370 333 300 259 760 687 442 393 351 337 299 257 219 Axis E-E 222 186 173 (1P h m 180 147 133 5390 4840 4060 3710 3140 Axis X-X 2480 2 300 2070 1810 1810 1 550 1340 3780 3.350 3080 2730 2400 2080 1910 1770 1610 1460 1320 1150 133 138 143 109 113 117 A 81.9 86.6 来了 2010 232 232 229 71.5 75.7 78.9 229 221 220 219 219 216 214 212 205 201 199 199 197 196 190 190 190 189 188 183 4.60 3.84 3.39 2.12 1.85 86.9 1.60 89.3 1.40 93.0 98.2 1.59 1.16 0.922 1.01 0.806 0.716 I of 0.825 0.627 0.544 2 157 139 127 114 103 38.7 33.8 29.5 23.8 20.3 12.6 10.4 1 1 - YIJA 1 r - YA K (10° mm) (10° mm) (mm) (10 mm) (10P mm) (mm) (mm) 装行 105 91.4 83.6 73.3 63.3 25.1 22.8 20.9 18.6 16.6 146 12.2 Axis Y-Y 33.6 30.9 62.4 55.5 51.4 28.2 Ai Y-Y 26.8 24.3 21.5 18.8 (10² mm) 986 877 BON 726 659 19.3 16.8 15.6 16.6 13.9 12.8 319 会将肉肉法BA革 RBRA梦的与并奖给B的 280 256 104 735 153 129 22.0 22.5 23.0 19.3 19.8 20.1 16.8 17.2 17.5 17.9 16.3 16.8 16.8 r-DA (mm) 15.2 没写 15.8 75.0 74.6 74.1 715 73.2 6.4 45.7 39dda Glasses99996 20.3 19.7 20.0 17.0 17.1 17.5 16.3 15.7. 15.3 15.9 15.1 144 14.0 14.3 14.8 14.9
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