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This is a 3 part question. It is one question. A W shape is to be used for a uniformly loaded simple beam carrying a total dead load of 26 kips and a total live load of 26 kips on a 36-ft span. Select the lightest weight shape for unbraced lengths of (1) 9 ft, (2) 12 ft, and (3) 18 ft. Fully show how to get the answer using the table provided, thank you.

This is a 3 part question. It is one question. A W shape is to be used for a uniformly loaded simple beam carrying a total dead load of 26 kips and a total live load of 26 kips on a 36-ft span. Select the lightest weight shape for unbraced lengths of (1) 9 ft, (2) 12 ft, and (3) 18 ft. Fully show how to get the answer using the table provided, thank you.

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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This is a 3 part question. It is one question.

A W shape is to be used for a uniformly loaded simple beam
carrying a total dead load of 26 kips and a total live load of 26 kips on a 36-ft span. Select the lightest weight shape for unbraced lengths of (1) 9 ft, (2) 12 ft, and (3) 18 ft.

Fully show how to get the answer using the table provided, thank you.

TABLE 9.1 (Continued) F. = 50 ksi Z, 1, Designation (in.) (fi) L, м, м, X, x 106 (ft) (kip-ft) (kip-ft) (in.) b,12t, hlt (ksi) [(1/ksi)*] W 10 x 88 W 21 x 50 W 16 x 57 113 9.30 45.1 471 328 2.63 5.18 13.0 5,680 6.10 49.4 1,730 22,600 4.98 33.0 2,650 6.57 45.2 1,920 12,400 7.22 53.6 1,550 36,600 132 110 4.60 12.5 458 315 1.3 105 5.66 16.6 438 307 1.6 3,400 W 18 x 50 101 5.83 15.6 421 296 1.65 W 21 x 44 W 18 x 46 W 14 x 53 W 10 x 68 W 16 x 45 W 18 x 40 W 12 x 53 W 14 x 43 W 10 x 54 W 12 x 45 W 16 x 36 W 10 x 45 W 14 x 34 W 12 x 35 W 16 x 26 W 14 x 26 W 10 x 33 W 12 x 26 W 10 x 26 W 12 x 22 W 10 x 19 95.4 4.45 12.0 398 272 1.26 90.7 4.56 12.6 378 263 1.29 5.01 44.6 2,060 10,100 87.1 6.79 20.1 363 259 1.92 6.11 30.9 2.830 2,250 85.3 9.16 36.0 355 252 2.59 6.58 16.7 4,460 334 82.3 5.55 15.2 343 242 1.57 6.23 41.1 2,120 8,280 78.4 4.49 12.1 327 228 1.27 5.73 50.9 1,810 17,200 77.9 8.77 25.6 325 235 2.48 8.69 28.1 2,820 2,100 69.6 6.68 18.3 290 209 1.89 7.54 37.4 2,330 4,880 66.6 9.05 30.2 278 200 2.56 8.15 21.2 3,580 778 6.89 20.3 268 192 1.95 2,210 7.00 29.6 2.820 8.12 48.1 1,700 20,400 6.47 22.5 3,650 7.41 43.1 1,970 10,600 6.31 36.2 2,430 7.97 56.8 1,480 40,300 5.98 48.1 1,880 9.15 27.1 2,720 8.54 47.2 1,820 13,900 64.2 64.0 5.37 14.0 267 188 1.52 54.9 7.11 24.1 229 164 2.01 758 54.6 5.41 14.4 228 162 1.53 51.2 5.44 15.2 213 152 1.54 4.330 44.2 3.96 10.4 184 128 1.12 40.2 3.82 10.2 168 118 1.08 14,100 38.8 6.86 19.8 162 117 1.94 2,480 37.2 5.34 13.8 155 111 1.51 31.3 4.81 13.6 130 93 1.36 6.56 34.0 2,510 85 0.848 4.74 41.8 2,170 63 0.874 5.09 35.4 2,440 3,760 8,460 29.3 3.00 8.41 122 21.6 3.09 8.89 90 5,030 Source: Compiled from data in the Steel Construction Manual (Ref. 5) with permission of the publisher, American Institute of Steel Construction. Note: Designations in boldface typerefer to shapes with sections that have an especially efficient bending moment resistance, indicated by the fact that there are other shapes of greater weight but the same or smaller section modulus.
Transcribed Image Text:TABLE 9.1 (Continued) F. = 50 ksi Z, 1, Designation (in.) (fi) L, м, м, X, x 106 (ft) (kip-ft) (kip-ft) (in.) b,12t, hlt (ksi) [(1/ksi)*] W 10 x 88 W 21 x 50 W 16 x 57 113 9.30 45.1 471 328 2.63 5.18 13.0 5,680 6.10 49.4 1,730 22,600 4.98 33.0 2,650 6.57 45.2 1,920 12,400 7.22 53.6 1,550 36,600 132 110 4.60 12.5 458 315 1.3 105 5.66 16.6 438 307 1.6 3,400 W 18 x 50 101 5.83 15.6 421 296 1.65 W 21 x 44 W 18 x 46 W 14 x 53 W 10 x 68 W 16 x 45 W 18 x 40 W 12 x 53 W 14 x 43 W 10 x 54 W 12 x 45 W 16 x 36 W 10 x 45 W 14 x 34 W 12 x 35 W 16 x 26 W 14 x 26 W 10 x 33 W 12 x 26 W 10 x 26 W 12 x 22 W 10 x 19 95.4 4.45 12.0 398 272 1.26 90.7 4.56 12.6 378 263 1.29 5.01 44.6 2,060 10,100 87.1 6.79 20.1 363 259 1.92 6.11 30.9 2.830 2,250 85.3 9.16 36.0 355 252 2.59 6.58 16.7 4,460 334 82.3 5.55 15.2 343 242 1.57 6.23 41.1 2,120 8,280 78.4 4.49 12.1 327 228 1.27 5.73 50.9 1,810 17,200 77.9 8.77 25.6 325 235 2.48 8.69 28.1 2,820 2,100 69.6 6.68 18.3 290 209 1.89 7.54 37.4 2,330 4,880 66.6 9.05 30.2 278 200 2.56 8.15 21.2 3,580 778 6.89 20.3 268 192 1.95 2,210 7.00 29.6 2.820 8.12 48.1 1,700 20,400 6.47 22.5 3,650 7.41 43.1 1,970 10,600 6.31 36.2 2,430 7.97 56.8 1,480 40,300 5.98 48.1 1,880 9.15 27.1 2,720 8.54 47.2 1,820 13,900 64.2 64.0 5.37 14.0 267 188 1.52 54.9 7.11 24.1 229 164 2.01 758 54.6 5.41 14.4 228 162 1.53 51.2 5.44 15.2 213 152 1.54 4.330 44.2 3.96 10.4 184 128 1.12 40.2 3.82 10.2 168 118 1.08 14,100 38.8 6.86 19.8 162 117 1.94 2,480 37.2 5.34 13.8 155 111 1.51 31.3 4.81 13.6 130 93 1.36 6.56 34.0 2,510 85 0.848 4.74 41.8 2,170 63 0.874 5.09 35.4 2,440 3,760 8,460 29.3 3.00 8.41 122 21.6 3.09 8.89 90 5,030 Source: Compiled from data in the Steel Construction Manual (Ref. 5) with permission of the publisher, American Institute of Steel Construction. Note: Designations in boldface typerefer to shapes with sections that have an especially efficient bending moment resistance, indicated by the fact that there are other shapes of greater weight but the same or smaller section modulus.
TABLE 9.1 Load Factor Resistance Design Selection for Shapes Used as Beams F, = 50 ksi %3D Z, L, M, M, X, X, x 106 Designation (in.) (fi) (ft) (kip-ft) (kip-ft) (in.) b/2t, hlt (ksi) [(1/ksi)*) W 33 x 141 514 W 30 x 148 500 W 24 x 162 468 W 24 x 146 418 W 33 x 118 415 W 30 x 124 408 W 21 x 147 373 W 24 x 131 370 W 18 x 158 356 W 30 x 108 346 W 27 x 114 343 W 24 x 117 327 W 21 x 122 307 W 18 x 130 290 W 30 x 90 W 24 x 103 280 W 27 x 94 W 14 x 145 260 W 24 x 94 254 W 21 x 101 253 W 12 x 152 243 W 18 x 106 230 W 14 x 120 212 W 24 x 76 W 16 x 100 200 W 21 x 83 W 18 x 86 W 12 x 120 186 W 21 x 68 W 24 x 62 W 16 x 77 W 12 x 96 W 10 x 112 147 W 18 x 71 8.59 23.1 1,493 2.43 6.01 49.6 1,800 1,453 2.28 4.44 41.6 2,310 17,800 2,142 2,083 8.06 22.8 6,270 10.8 32.4 1,950 1,380 3.05 5.31 30.6 2,870 1,237 3.01 5.92 33.2 2,590 1,197 2.32 7.76 54.5 1,510 1,183 2.23 5.65 46.2 1,930 1,097 2.95 5.44 26.1 3,140 1,097 2.97 6.70 35.6 2,330 1,033 2.74 3.92 19.8 4,410 997 2.15 6.89 49.6 1,680 997 2.18 5.41 42.5 2,100 2,260 10.6 30.6 1,742 3,420 8.20 21.7 1,729 1,700 1,554 37,700 7.88 21.5 13,500 10.4 32.8 1,590 10.5 29.1 1,542 5,290 9.69 38.0 1,483 1,442 403 7.60 20.3 24,200 7.71 21.3 1,429 9.220 10.4 27.9 1,363 1,279 970 2.94 7.53 39.2 2,090 910 2.92 6.45 31.3 2,630 4.65 23.9 3,680 817 2.09 8.52 57.5 1,410 817 1.99 4.59 39.2 2,390 810 2.12 6.70 49.5 1,740 773 3.98 7.11 16.8 4,400 740 1.98 5.18 41.9 2,180 757 2.89 7.68 37.5 2,200 697 3.19 4.46 11.2 6,510 8,190 10.3 29.8 3,160 9.55 32.8 1,208 853 2.7 810 283 7.39 19.4 1,179 1,167 1,158 1,083 1,058 49,600 5,310 19,900 7.04 20.0 278 7.50 19.9 14.1 54.7 348 7.00 19.4 7,800 10.2 27.6 1,054 6,400 11.3 62.1 1,013 79 9.40 28.7 958 680 2.66 5.96 27.2 2,990 633 3.74 7.80 19.3 3,830 587 1.92 6.61 49.0 1,760 5.29 23.2 3,530 1,880 13.2 46.2 883 601 200 6.79 18.0 833 18,600 8.84 29.6 833 590 2.5 947 196 6.47 18.5 817 570 1.83 5.00 36.4 2,400 553 2.63 7.20 33.4 2,460 543 3.13 5.57 13.7 5,240 6.04 43.6 2,000 440 1.37 5.97 49.7 1,730 5,250 186 9.30 26.1 775 775 4,060 11.1 50.0 184 160 6.36 17.3 667 467 1.8 10,900 154 4.84 13.3 642 23,800 152 8.70 25.5 633 453 2.46 6.77 29.9 2,770 437 3.09 6.76 17.7 4.250 420 2.68 4.17 10.4 7,080 4.71 32.4 2,690 410 2.48 5.92 22.4 3,590 383 1.34 6.94 54.1 1,570 370 1.35 5.04 46.3 1,960 360 1.68 5.44 38.7 2,290 357 3.05 8.22 20.7 3,530 343 2.46 6.97 27.5 3,020 2,460 147 10.9 41.4 613 407 9.48 56.5 613 57 6.01 17.8 608 423 1.7 3,290 849 146 W 14 x 82 139 8.77 29.5 579 W 24 x 55 W 21 x 57 135 4.74 12.9 563 36,500 129 4.77 13.1 538 13,100 W 18 x 60 123 5.94 16.6 513 6,080 W 12 x 79 W 14 x 68 10.8 35.7 8.70 26.4 119 496 839 115 479 1,660
Transcribed Image Text:TABLE 9.1 Load Factor Resistance Design Selection for Shapes Used as Beams F, = 50 ksi %3D Z, L, M, M, X, X, x 106 Designation (in.) (fi) (ft) (kip-ft) (kip-ft) (in.) b/2t, hlt (ksi) [(1/ksi)*) W 33 x 141 514 W 30 x 148 500 W 24 x 162 468 W 24 x 146 418 W 33 x 118 415 W 30 x 124 408 W 21 x 147 373 W 24 x 131 370 W 18 x 158 356 W 30 x 108 346 W 27 x 114 343 W 24 x 117 327 W 21 x 122 307 W 18 x 130 290 W 30 x 90 W 24 x 103 280 W 27 x 94 W 14 x 145 260 W 24 x 94 254 W 21 x 101 253 W 12 x 152 243 W 18 x 106 230 W 14 x 120 212 W 24 x 76 W 16 x 100 200 W 21 x 83 W 18 x 86 W 12 x 120 186 W 21 x 68 W 24 x 62 W 16 x 77 W 12 x 96 W 10 x 112 147 W 18 x 71 8.59 23.1 1,493 2.43 6.01 49.6 1,800 1,453 2.28 4.44 41.6 2,310 17,800 2,142 2,083 8.06 22.8 6,270 10.8 32.4 1,950 1,380 3.05 5.31 30.6 2,870 1,237 3.01 5.92 33.2 2,590 1,197 2.32 7.76 54.5 1,510 1,183 2.23 5.65 46.2 1,930 1,097 2.95 5.44 26.1 3,140 1,097 2.97 6.70 35.6 2,330 1,033 2.74 3.92 19.8 4,410 997 2.15 6.89 49.6 1,680 997 2.18 5.41 42.5 2,100 2,260 10.6 30.6 1,742 3,420 8.20 21.7 1,729 1,700 1,554 37,700 7.88 21.5 13,500 10.4 32.8 1,590 10.5 29.1 1,542 5,290 9.69 38.0 1,483 1,442 403 7.60 20.3 24,200 7.71 21.3 1,429 9.220 10.4 27.9 1,363 1,279 970 2.94 7.53 39.2 2,090 910 2.92 6.45 31.3 2,630 4.65 23.9 3,680 817 2.09 8.52 57.5 1,410 817 1.99 4.59 39.2 2,390 810 2.12 6.70 49.5 1,740 773 3.98 7.11 16.8 4,400 740 1.98 5.18 41.9 2,180 757 2.89 7.68 37.5 2,200 697 3.19 4.46 11.2 6,510 8,190 10.3 29.8 3,160 9.55 32.8 1,208 853 2.7 810 283 7.39 19.4 1,179 1,167 1,158 1,083 1,058 49,600 5,310 19,900 7.04 20.0 278 7.50 19.9 14.1 54.7 348 7.00 19.4 7,800 10.2 27.6 1,054 6,400 11.3 62.1 1,013 79 9.40 28.7 958 680 2.66 5.96 27.2 2,990 633 3.74 7.80 19.3 3,830 587 1.92 6.61 49.0 1,760 5.29 23.2 3,530 1,880 13.2 46.2 883 601 200 6.79 18.0 833 18,600 8.84 29.6 833 590 2.5 947 196 6.47 18.5 817 570 1.83 5.00 36.4 2,400 553 2.63 7.20 33.4 2,460 543 3.13 5.57 13.7 5,240 6.04 43.6 2,000 440 1.37 5.97 49.7 1,730 5,250 186 9.30 26.1 775 775 4,060 11.1 50.0 184 160 6.36 17.3 667 467 1.8 10,900 154 4.84 13.3 642 23,800 152 8.70 25.5 633 453 2.46 6.77 29.9 2,770 437 3.09 6.76 17.7 4.250 420 2.68 4.17 10.4 7,080 4.71 32.4 2,690 410 2.48 5.92 22.4 3,590 383 1.34 6.94 54.1 1,570 370 1.35 5.04 46.3 1,960 360 1.68 5.44 38.7 2,290 357 3.05 8.22 20.7 3,530 343 2.46 6.97 27.5 3,020 2,460 147 10.9 41.4 613 407 9.48 56.5 613 57 6.01 17.8 608 423 1.7 3,290 849 146 W 14 x 82 139 8.77 29.5 579 W 24 x 55 W 21 x 57 135 4.74 12.9 563 36,500 129 4.77 13.1 538 13,100 W 18 x 60 123 5.94 16.6 513 6,080 W 12 x 79 W 14 x 68 10.8 35.7 8.70 26.4 119 496 839 115 479 1,660
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