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4) Find the most economical wide flange section for an A992 steel beam (E = 29 x 10³ ksi) using LRFD which spans 45 ft. with a dead load of 50 lb/ft² and a live load of 95 lb/ft² if the beams are spaced 12 ft apart and full lateral bracing is provided. Determine the total maximum deflection. (Because the beam is fully braced, you should utilize a reference table with wide flanges in descending order of Z as found in the note set.) Additional wide flange properties which the text does not show text is provided on the following pages.

4) Find the most economical wide flange section for an A992 steel beam (E = 29 x 10³ ksi) using LRFD which spans 45 ft. with a dead load of 50 lb/ft² and a live load of 95 lb/ft² if the beams are spaced 12 ft apart and full lateral bracing is provided. Determine the total maximum deflection. (Because the beam is fully braced, you should utilize a reference table with wide flanges in descending order of Z as found in the note set.) Additional wide flange properties which the text does not show text is provided on the following pages.

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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4) Find the most economical wide flange section for an A992 steel beam (E = 29 x 10³ ksi) using LRFD which spans 45 ft. with a dead load of 50 lb/ft² and a live load of 95 lb/ft² if the beams are spaced 12 ft apart and full lateral bracing is provided. Determine the total maximum deflection. (Because the beam is fully braced, you should utilize a reference table with wide flanges in descending order of Z as found in the note set.) Additional wide flange properties which the text does not show text is provided on the following pages.
Transcribed Image Text:4) Find the most economical wide flange section for an A992 steel beam (E = 29 x 10³ ksi) using LRFD which spans 45 ft. with a dead load of 50 lb/ft² and a live load of 95 lb/ft² if the beams are spaced 12 ft apart and full lateral bracing is provided. Determine the total maximum deflection. (Because the beam is fully braced, you should utilize a reference table with wide flanges in descending order of Z as found in the note set.) Additional wide flange properties which the text does not show text is provided on the following pages.
Table 1-1 (continued) W-Shapes Table 1-1 (continued) W-Shapes I Dimensions Properties W27-W24 by Torslonal Propertles Web Compact Nom Section Fange Distance Area, Depth, Axis X-X Axis Y-Y Work- k T able Gage Thickness, Thickness, k Width, by Inal Shape A Criterta kaes kaar In. In. In. In? In. In. In. In. In In. In. Ib/it 21 In In. In. In In In In. In. In In. In. In. 28.0 28 1.52 12 W24x370 109 x335 98.3 27.5 272 1.38 1% x306 89.7 27.1 27% 1.26 1¼ x279 81.9 26.7 264 1.16 116 % 13.3 134 2.09 2h6 2.59 3% 1116 4 13.7 13% 2.72 24 3.22 4 1/16 13.5 132 2.48 22 % 13.4 13% 2.28 24 2.78 3/16 11/16 52 370 2.51 142 13400 3.27 267 3.23 238 3.92 25.3 201 11.1 1130 11.0 1020 10.9 922 10.8 835 1160 1030 919 823 724 20 957 170 186000 2.98 34 1'/s 335 2.73 15.6 11900 864 152 3.86 25.0 152 161000 306 2.94 17.1 10700 137 124 3.81 24.8 3.76 24.6 3.71 24.4 789 3.20 214 117 142000 3.17 193 110 279 3.18 18.6 9600 125000 108000 718 90.5 73.5 26.3 26 1.04 1416 s 13.2 13% 1.89 1% 2.39 3% 14 67.2 26.0 26 0.960 15/16 2 13.1 13% 1.73 14 2.23 3 60.7 25.7 254 0.870 56.5 25.5 252 0.810 1ns 16 13.0 13 51.7 25.2 25% 0.750 4 47.8 25.0 25 0.705 16 % 13.0 13 43.0 24.7 2440.650 % Sns 12.9 12 1.09 116 1.59 28 1/16 38.6 24.5 24½ 0.605 %% 250 3.49 20.7 8490 10.7 3.14 171 99.4 3.11 154 88.8 3.08 137 81.8 3.07 126 74.3 3.04 115 68.4 3.05 105 60.5 3.01 53.0 2.97 81.5 3.49 23.5 46.5 294 71.4 3.46 23.5 40.7 291 62.4 x250 644 744 66.6 229 3.79 225 7650 207 4.14 24.8 6820 x229 x207 x192 x176 x162 x146 x131 x117 34.4 24.3 24 0.550 %16 16 12.8 124 0.850 1.35 28 12 x104 30.7 24.1 24 0.500 2 588 10.7 675 10.6 606 10.5 559 10.5 511 10.4 468 651 3.67 24.3 51.3 96100 1.57 116 2.07 2' 1% 1.46 116 1.96 24 1% % 12.9 12% 1.34 116 1.84 2 116 1.22 14 1.72 22 1/16 16 13.0 13 3.62 24.1 3.60 24.0 3.57 23.9 3.57 23.8 3.53 23.6 84100 76300 68400 62600 54600 531 578 38.3 192 4.43 26.6 6260 491 530 479 30.8 23.9 176 4.81 28.7 5680 450 162 5.31 30.6 5170 146 5.92 332 4580 4020 117 7.53 392 3540 104 8.50 43.1 3100 258 414 443 18.5 371 10.3 418 102 370 10.1 327 10.1 289 391 93.2 13.4 16 12.9 12% 0.960 15/16 1.46 24 12 131 6.70 35.6 329 340 9.50 47100 40800 35200 291 297 6.72 Y4 12.8 1240.750 % 1.25 2'/16 1'16 259 3.42 23.4 4.72 W24x103 30.3 24.5 24 0.550 %16 16 9.00 9 x94° x84 x76 x68 103 4.59 392 3000 245 94 5.18 41.9 2700 222 84 5.86 45.9 2370 76 6.61 49.0 2100 176 68 7.66 52.0 0.980 1 1.48 24 12 26.5 1.99 41.5 10.0 280 9.87 254 9.79 224 9.69 200 9.55 177 2.40 23.5 16600 15000 12800 11100 9430 20 119 7.07 27.7 24.3 244 0.515 2 4 9.07 9% 0.875 % 1.38 2/8 1'16 Y4 9.02 9 8.99 9 8.97 9 24.0 1.98 37.5 2.40 23.4 94.4 20.9 1.95 32.6 2.37 23.3 825 18.4 1.92 28.6 2.33 23.2 15.7 1.87 24.5 2.30 23.1 109 5.26 24.7 24.1 24% 0.470 2 22.4 23.9 23% 0.440 16 4 20.1 23.7 23 0.415 16 ¼ 0.770 % 1.27 2/16 1h6 0.680 11s 1.18 15/16 116 0.585 16 1.09 1% 116 Y 3.70 2.68 196 1830 154 70.4 1.87 W24x62 x55 16.2 23.6 23 0.395 16 7.01 7 W21x275" 81.8 24.1 24 1.22 1'4 x24 x223 x201 x182 0.590 16 1.09 12 116 20% 3½9 0.505 2 1.01 1/16 1 5% 12.9 12' 2.19 21s 3.37 3'/16 1916 17'4 5½ 18.2 23.7 234 0.430 16 4 9.23 153 9.11 134 9.70 749 9.80 1.38 15.7 8.30 1.34 13.3 3.10 191 7.04 7 62 5.97 50.1 4620 3870 1550 131 34.5 1.75 23.1 1.71 20 39 55 6.94 54.6 1350 275 2.95 14.2 7690 248 3.22 15.8 6830 223 3.55 17.5 6080 114 29.1 1.72 23.1 1.18 94400 82400 71700 62000 54400 3.68 21.9 107 122 109 638 787 34 14 73.8 23.7 234 1.10 1'% 66.5 23.4 23 1.00 1 59.3 23.0 23 0.910 1516 2 12.6 12 1.63 1% 2.13 2/ 1"16 53.6 22.7 224 0.830 1/16 Vr6 12.5 122 1.48 12 48.8 22.5 220.750 4 43.2 22.1 22 0.720 % 38.8 21.8 21% 0.650 % 35.9 21.7 21% 0.600 8 32.6 21.5 212 0.550 16 S16 12.3 12% 0.875 % 1.38 2/8 1'2 /16 12.8 124 1.99 2 3.08 170 96.7 3.04 150 86.1 3.02 133 T12 3.00 119 70.0 2.99 108 60.1 295 92.6 53.5 293 82.3 49.2 292 75.6 44.5 2.90 68.2 40.3 2.89 61.7 3.35 20.6 671 3.63 21.7 80.7 2 12.7 12% 1.79 111s 2.97 3/16 11%6 9.56 601 9.47 530 9.40 476 9.36 432 9.17 373 9.12 333 9.09 307 9.05 279 9.02 253 3.57 21.6 3.55 21.4 3.51 21.2 3.48 21.1 520 614 59.5 201 3.86 20.6 5310 461 542 40.9 30.7 1.98 24 15%e % 12.4 12% 1.36 1% 1.86 28 116 * 12.5 122 1.15 1% 1.65 2'16 116 Y16 12.4 122 1.04 1416 1.54 24 116 S16 12.4 12% 0.960 15/16 1.46 24 12 182 4.22 226 4730 417 483 166 4.57 25.0 4280 48500 x166 x147 x132 x122 380 435 23.6 147 5.44 26.1 3630 3.46 21.0 3.43 20.8 329 376 333 15.4 11.3 8.98 41100 36000 32700 132 6.01 28.9 3220 295 122 6.45 31.3 2960 273 3.40 20.7 3.37 20.6 305 x111 x101° 29.8 21.4 21% 0.500 ½ 111 7.05 34.1 2670 249 274 6.83 29200 4 12.3 124 0.800 116 1.30 2416 1h6 Y 15/15 18% 52 101 7.68 37.5 2420 227 248 5.21 26200 W21x93 x83 x73 x68 x62 27.3 21.6 21%% 0.580 Y16 16 8.42 8% 0.930 1516 1.43 1% 24.4 21.4 21a 0.515 2 21.5 21.2 21¼ 0,455| 16 4 20.0 21.1 21 0.430 16 Y4 18.3 21.0 21 16.2 20.8 20%4 0.375 % 93 4.53 323 2070 1830 8.70 221 8.67 196 8.64 172 8.60 160 8.54 144 8.40 126 93.0 824 107 29 221 1.84 34.7 2.24 20.7 19.5 1.83 30.5 2.21 20.6 17.0 1.81 26.6 2.19 20.5 15.7 1.80 24.4 2.17 20.4 9940 8630 192 6.03 8.36 8% 0.835 116 1.34 12 8.30 84 0.740 4 1.24 116 8 8.27 84 0.685 16 1.19 1 0.400 Y% Yis 8.24 84 0.615 % 1.12 1s 11s 16 8.22 84 0.522 2 1.02 1h6 19ns 16 8.14 8%0.430 16 0.930 1' 83 5.00 36.4 73 5.60 41.2 171 81.4 4.34 1600 151 70.6 3.02 7410 68 6.04 43.6 1480 6760 5960 4980 140 64.7 2.45 1.83 1.24 62 6.70 46.9 14.0 1.77 21.7 2.15 20.4 48.4 1330 127 57.5 x55 x48 14.1 20.6 20 0.350 a 55 7.87 50.0 1140 11.8 1.73 18.4 2.11 20.3 9.52 1.66 14.9 2.06 20.2 110 48 9.47 53.6 959 38.7 0.803 3950 W21x57 x50 x44 16.7 21.1 21 0.405 %8 14.7 20.8 20 0.380 8 13.0 20.7 416 6.56 620.650 % 1.15 15%6 11s 18% 32 16 6.53 620.535 16 1.04 14 131s 16 6.50 6'2 0.450 57 5.04 46.3 1170 50 6.10 49.4 44 7.2 53.6 8.36 129 94.5 8.18 110 81.6 8.06 95.4 9.35 1.35 14.8 7.64 1.30 12.2 6.37 1.26 10.2 30.6 24.9 1.68 20.5 1.77 1.14 111 3190 2570 1.64 20.3 1.60 20.3 984 0.350 0.950 1 843 20.7 0.770 2110 Shape is slender for compression withF,-50 ksl The actual stze, combination and orlentátion of fastener components shoud be compared with the geometry of the cross section to ensure compatibility. Fange thickness greater than 2 In. Spectal requirements may apply per AISC Specification Section A3.1c. "Stape does not meet the Nt,imit for shear In AISC Specitication Section G2.ia) with 5- 50 ksl.
Transcribed Image Text:Table 1-1 (continued) W-Shapes Table 1-1 (continued) W-Shapes I Dimensions Properties W27-W24 by Torslonal Propertles Web Compact Nom Section Fange Distance Area, Depth, Axis X-X Axis Y-Y Work- k T able Gage Thickness, Thickness, k Width, by Inal Shape A Criterta kaes kaar In. In. In. In? In. In. In. In. In In. In. Ib/it 21 In In. In. In In In In. In. In In. In. In. 28.0 28 1.52 12 W24x370 109 x335 98.3 27.5 272 1.38 1% x306 89.7 27.1 27% 1.26 1¼ x279 81.9 26.7 264 1.16 116 % 13.3 134 2.09 2h6 2.59 3% 1116 4 13.7 13% 2.72 24 3.22 4 1/16 13.5 132 2.48 22 % 13.4 13% 2.28 24 2.78 3/16 11/16 52 370 2.51 142 13400 3.27 267 3.23 238 3.92 25.3 201 11.1 1130 11.0 1020 10.9 922 10.8 835 1160 1030 919 823 724 20 957 170 186000 2.98 34 1'/s 335 2.73 15.6 11900 864 152 3.86 25.0 152 161000 306 2.94 17.1 10700 137 124 3.81 24.8 3.76 24.6 3.71 24.4 789 3.20 214 117 142000 3.17 193 110 279 3.18 18.6 9600 125000 108000 718 90.5 73.5 26.3 26 1.04 1416 s 13.2 13% 1.89 1% 2.39 3% 14 67.2 26.0 26 0.960 15/16 2 13.1 13% 1.73 14 2.23 3 60.7 25.7 254 0.870 56.5 25.5 252 0.810 1ns 16 13.0 13 51.7 25.2 25% 0.750 4 47.8 25.0 25 0.705 16 % 13.0 13 43.0 24.7 2440.650 % Sns 12.9 12 1.09 116 1.59 28 1/16 38.6 24.5 24½ 0.605 %% 250 3.49 20.7 8490 10.7 3.14 171 99.4 3.11 154 88.8 3.08 137 81.8 3.07 126 74.3 3.04 115 68.4 3.05 105 60.5 3.01 53.0 2.97 81.5 3.49 23.5 46.5 294 71.4 3.46 23.5 40.7 291 62.4 x250 644 744 66.6 229 3.79 225 7650 207 4.14 24.8 6820 x229 x207 x192 x176 x162 x146 x131 x117 34.4 24.3 24 0.550 %16 16 12.8 124 0.850 1.35 28 12 x104 30.7 24.1 24 0.500 2 588 10.7 675 10.6 606 10.5 559 10.5 511 10.4 468 651 3.67 24.3 51.3 96100 1.57 116 2.07 2' 1% 1.46 116 1.96 24 1% % 12.9 12% 1.34 116 1.84 2 116 1.22 14 1.72 22 1/16 16 13.0 13 3.62 24.1 3.60 24.0 3.57 23.9 3.57 23.8 3.53 23.6 84100 76300 68400 62600 54600 531 578 38.3 192 4.43 26.6 6260 491 530 479 30.8 23.9 176 4.81 28.7 5680 450 162 5.31 30.6 5170 146 5.92 332 4580 4020 117 7.53 392 3540 104 8.50 43.1 3100 258 414 443 18.5 371 10.3 418 102 370 10.1 327 10.1 289 391 93.2 13.4 16 12.9 12% 0.960 15/16 1.46 24 12 131 6.70 35.6 329 340 9.50 47100 40800 35200 291 297 6.72 Y4 12.8 1240.750 % 1.25 2'/16 1'16 259 3.42 23.4 4.72 W24x103 30.3 24.5 24 0.550 %16 16 9.00 9 x94° x84 x76 x68 103 4.59 392 3000 245 94 5.18 41.9 2700 222 84 5.86 45.9 2370 76 6.61 49.0 2100 176 68 7.66 52.0 0.980 1 1.48 24 12 26.5 1.99 41.5 10.0 280 9.87 254 9.79 224 9.69 200 9.55 177 2.40 23.5 16600 15000 12800 11100 9430 20 119 7.07 27.7 24.3 244 0.515 2 4 9.07 9% 0.875 % 1.38 2/8 1'16 Y4 9.02 9 8.99 9 8.97 9 24.0 1.98 37.5 2.40 23.4 94.4 20.9 1.95 32.6 2.37 23.3 825 18.4 1.92 28.6 2.33 23.2 15.7 1.87 24.5 2.30 23.1 109 5.26 24.7 24.1 24% 0.470 2 22.4 23.9 23% 0.440 16 4 20.1 23.7 23 0.415 16 ¼ 0.770 % 1.27 2/16 1h6 0.680 11s 1.18 15/16 116 0.585 16 1.09 1% 116 Y 3.70 2.68 196 1830 154 70.4 1.87 W24x62 x55 16.2 23.6 23 0.395 16 7.01 7 W21x275" 81.8 24.1 24 1.22 1'4 x24 x223 x201 x182 0.590 16 1.09 12 116 20% 3½9 0.505 2 1.01 1/16 1 5% 12.9 12' 2.19 21s 3.37 3'/16 1916 17'4 5½ 18.2 23.7 234 0.430 16 4 9.23 153 9.11 134 9.70 749 9.80 1.38 15.7 8.30 1.34 13.3 3.10 191 7.04 7 62 5.97 50.1 4620 3870 1550 131 34.5 1.75 23.1 1.71 20 39 55 6.94 54.6 1350 275 2.95 14.2 7690 248 3.22 15.8 6830 223 3.55 17.5 6080 114 29.1 1.72 23.1 1.18 94400 82400 71700 62000 54400 3.68 21.9 107 122 109 638 787 34 14 73.8 23.7 234 1.10 1'% 66.5 23.4 23 1.00 1 59.3 23.0 23 0.910 1516 2 12.6 12 1.63 1% 2.13 2/ 1"16 53.6 22.7 224 0.830 1/16 Vr6 12.5 122 1.48 12 48.8 22.5 220.750 4 43.2 22.1 22 0.720 % 38.8 21.8 21% 0.650 % 35.9 21.7 21% 0.600 8 32.6 21.5 212 0.550 16 S16 12.3 12% 0.875 % 1.38 2/8 1'2 /16 12.8 124 1.99 2 3.08 170 96.7 3.04 150 86.1 3.02 133 T12 3.00 119 70.0 2.99 108 60.1 295 92.6 53.5 293 82.3 49.2 292 75.6 44.5 2.90 68.2 40.3 2.89 61.7 3.35 20.6 671 3.63 21.7 80.7 2 12.7 12% 1.79 111s 2.97 3/16 11%6 9.56 601 9.47 530 9.40 476 9.36 432 9.17 373 9.12 333 9.09 307 9.05 279 9.02 253 3.57 21.6 3.55 21.4 3.51 21.2 3.48 21.1 520 614 59.5 201 3.86 20.6 5310 461 542 40.9 30.7 1.98 24 15%e % 12.4 12% 1.36 1% 1.86 28 116 * 12.5 122 1.15 1% 1.65 2'16 116 Y16 12.4 122 1.04 1416 1.54 24 116 S16 12.4 12% 0.960 15/16 1.46 24 12 182 4.22 226 4730 417 483 166 4.57 25.0 4280 48500 x166 x147 x132 x122 380 435 23.6 147 5.44 26.1 3630 3.46 21.0 3.43 20.8 329 376 333 15.4 11.3 8.98 41100 36000 32700 132 6.01 28.9 3220 295 122 6.45 31.3 2960 273 3.40 20.7 3.37 20.6 305 x111 x101° 29.8 21.4 21% 0.500 ½ 111 7.05 34.1 2670 249 274 6.83 29200 4 12.3 124 0.800 116 1.30 2416 1h6 Y 15/15 18% 52 101 7.68 37.5 2420 227 248 5.21 26200 W21x93 x83 x73 x68 x62 27.3 21.6 21%% 0.580 Y16 16 8.42 8% 0.930 1516 1.43 1% 24.4 21.4 21a 0.515 2 21.5 21.2 21¼ 0,455| 16 4 20.0 21.1 21 0.430 16 Y4 18.3 21.0 21 16.2 20.8 20%4 0.375 % 93 4.53 323 2070 1830 8.70 221 8.67 196 8.64 172 8.60 160 8.54 144 8.40 126 93.0 824 107 29 221 1.84 34.7 2.24 20.7 19.5 1.83 30.5 2.21 20.6 17.0 1.81 26.6 2.19 20.5 15.7 1.80 24.4 2.17 20.4 9940 8630 192 6.03 8.36 8% 0.835 116 1.34 12 8.30 84 0.740 4 1.24 116 8 8.27 84 0.685 16 1.19 1 0.400 Y% Yis 8.24 84 0.615 % 1.12 1s 11s 16 8.22 84 0.522 2 1.02 1h6 19ns 16 8.14 8%0.430 16 0.930 1' 83 5.00 36.4 73 5.60 41.2 171 81.4 4.34 1600 151 70.6 3.02 7410 68 6.04 43.6 1480 6760 5960 4980 140 64.7 2.45 1.83 1.24 62 6.70 46.9 14.0 1.77 21.7 2.15 20.4 48.4 1330 127 57.5 x55 x48 14.1 20.6 20 0.350 a 55 7.87 50.0 1140 11.8 1.73 18.4 2.11 20.3 9.52 1.66 14.9 2.06 20.2 110 48 9.47 53.6 959 38.7 0.803 3950 W21x57 x50 x44 16.7 21.1 21 0.405 %8 14.7 20.8 20 0.380 8 13.0 20.7 416 6.56 620.650 % 1.15 15%6 11s 18% 32 16 6.53 620.535 16 1.04 14 131s 16 6.50 6'2 0.450 57 5.04 46.3 1170 50 6.10 49.4 44 7.2 53.6 8.36 129 94.5 8.18 110 81.6 8.06 95.4 9.35 1.35 14.8 7.64 1.30 12.2 6.37 1.26 10.2 30.6 24.9 1.68 20.5 1.77 1.14 111 3190 2570 1.64 20.3 1.60 20.3 984 0.350 0.950 1 843 20.7 0.770 2110 Shape is slender for compression withF,-50 ksl The actual stze, combination and orlentátion of fastener components shoud be compared with the geometry of the cross section to ensure compatibility. Fange thickness greater than 2 In. Spectal requirements may apply per AISC Specification Section A3.1c. "Stape does not meet the Nt,imit for shear In AISC Specitication Section G2.ia) with 5- 50 ksl.
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