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Select the lightest wide-flange beam that can be used to support the loading shown below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is 100 MPa. I 3 kN/m Y Y 10 m 15 kN

Select the lightest wide-flange beam that can be used to support the loading shown below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is 100 MPa. I 3 kN/m Y Y 10 m 15 kN

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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. Select the lightest wide-flange beam that can be used to support the loading shown below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is 100 MPa. 3 kN/m 10 m 15 kN
Transcribed Image Text:. Select the lightest wide-flange beam that can be used to support the loading shown below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is 100 MPa. 3 kN/m 10 m 15 kN
TABLE A-2 Wide-Flange Beams (SI Units) Desig- nation W914 x 342 X 238 W838 X 299 X 226 X 193 W762 X 196 X 161 W686 X 217 X 140 W610 X 155 X 125 × 92 W533 X 150 X 124 X 92 W457 X 144 X 113 X 89 W406 X 149 X 100 x 60 X 39 W356 X 179 x 122 X 64 X 45 W305 X 143 X 97 X 74 X 45 W254 x 89 X 67 X 45 X 33 W203 X 60 X 46 X 36 X 22 Arca (mm²) 43610 30325 38130 28850 24710 25100 20450 27675 17870 19740 15935 11750 19225 15675 11805 18365 14385 11355 18970 12710 7615 4950 22775 15550 8130 5710 18195 12325 9485 5670 11355 8580 5705 4185 7550 5890 4570 2865 H 4735 3060 3020 2470 Depth Width (mm) (mm) 912 915 855 851 840 770 758 695 684 611 612 603 543 544 533 472 463 463 431 415 407 399 368 363 347 352 323 308 310 313 260 257 266 258 210 203 201 206 162 160 127 106 418 305 400 294 292 268 266 355 254 324 229 179 312 212 209 283 280 192 265 260 178 140 373 257 203 171 FLANGE 309 305 205 166 256 204 148 146 205 203 165 102 154 102 127 103 Thick- ness (mm) 32.0 25.9 29.2 26.8 21.7 25.4 19.3 24.8 18.9 19.1 19.6 15.0 20.3 21.2 15.6 22.1 17.3 17.7 25.0 16.9 12.8 8.8 23.9 21.7 13.5 9.8 22.9 15.4 16.3 11.2 17.3 15.7 13.0 9.1. 14.2 11.0 10.2 8.0 Web Thick- DOSS (mm) 11.6 10.3 9.1 8.8 19.3 16.5 18.2 16.1 14.7 15.6 13.8 15.4 12.4 12.7 11.9 10.9 12.7 13.1 10.2 13.6 10.8 10.5 14.9 10.0 7.7 6.4 15.0 13.0 7.7 6.9 14.0 9.9 9.4 6.6 10.7 8.9 7.6 6.1 9.1 7.2 6.2 6.2 I (106 mm¹) 8.1 6.6 6.1 7.1 6245 4060 4785 3395 2795 2400 1860 2345 1360 1290 985 645 1005 762 554 728 554 410 620 397 216 125 574 367 178 121 347 222 164 99.1 142 103 70.8 49.1 60.8 45.8 34.5 20.0 22.2 13.4 AXIS X-X S (10³ min³) 8.87 4.70 13715 8880 11210 7980 6655 6225 4900 6735 3980 4230 3210 2145 3720 2800 2080 3080 2395 1770 2870 1915 1060 62.9 W152 X 37 X 24 W127 X 24 W102 X 19 *W means wide-flange beam, followed by the nominal depth in mm, then the mass in kg per meter of length. 3115 2015 1025 688 2145 1440 1060 633 1095 805 531 380 582 451 342 193 274 167 139 89.5 X I --X (mm) 378 366 356 343 335 310 302 290 277 257 249 234 229 220 217 199 196 190 180 177 168 159 158 154 148 146 138 134 132 132 112 110 111 108 89.7 88.1 86.7 83.6 68.6 66.0 54.1 43.7 1 (106 mm¹) 391 123 312 114 90.7 81.6 60.8 184 51.6 108 39.3 14.4 103 33.9 23.9 83.7 63.3 20.9 77.4 49.5 12.0 3.99 206 61.6 18.8 8.16 112 72.4 23.4 8.45 48.3 22.2 6.95 4.75 20.4 15.4 7.61 1.42 7.12 1.84 3.13 1.61 AXIS Y-Y S (10³ mm³). 1870 805 1560 775 620 610 457 1040 406 667 342 161 660 320 228 592 452 218 585 380 135 $7.2 1105 480 185 95.4 728 477 228 102 377 218 200 152 94.2 65.1 92.3 27.9 91.9 36.1 49.2 31.1 8 (mm) 94.7 63.5 90.4 62.7 60.7 57.2 54.6. 81.5 53.8 73.9 49.5 35.1 73.4 46.5 45.0 67.3 663 42.9 38.6 24.6 32.3 25.4 64.0 62.5 39.9 28.4 51.8 51.3 40.9 22.3 95.0 63.0 48.0 37.8 78.5 76.7 49.8 38.6 65.3 51.1 34.8 33.8
Transcribed Image Text:TABLE A-2 Wide-Flange Beams (SI Units) Desig- nation W914 x 342 X 238 W838 X 299 X 226 X 193 W762 X 196 X 161 W686 X 217 X 140 W610 X 155 X 125 × 92 W533 X 150 X 124 X 92 W457 X 144 X 113 X 89 W406 X 149 X 100 x 60 X 39 W356 X 179 x 122 X 64 X 45 W305 X 143 X 97 X 74 X 45 W254 x 89 X 67 X 45 X 33 W203 X 60 X 46 X 36 X 22 Arca (mm²) 43610 30325 38130 28850 24710 25100 20450 27675 17870 19740 15935 11750 19225 15675 11805 18365 14385 11355 18970 12710 7615 4950 22775 15550 8130 5710 18195 12325 9485 5670 11355 8580 5705 4185 7550 5890 4570 2865 H 4735 3060 3020 2470 Depth Width (mm) (mm) 912 915 855 851 840 770 758 695 684 611 612 603 543 544 533 472 463 463 431 415 407 399 368 363 347 352 323 308 310 313 260 257 266 258 210 203 201 206 162 160 127 106 418 305 400 294 292 268 266 355 254 324 229 179 312 212 209 283 280 192 265 260 178 140 373 257 203 171 FLANGE 309 305 205 166 256 204 148 146 205 203 165 102 154 102 127 103 Thick- ness (mm) 32.0 25.9 29.2 26.8 21.7 25.4 19.3 24.8 18.9 19.1 19.6 15.0 20.3 21.2 15.6 22.1 17.3 17.7 25.0 16.9 12.8 8.8 23.9 21.7 13.5 9.8 22.9 15.4 16.3 11.2 17.3 15.7 13.0 9.1. 14.2 11.0 10.2 8.0 Web Thick- DOSS (mm) 11.6 10.3 9.1 8.8 19.3 16.5 18.2 16.1 14.7 15.6 13.8 15.4 12.4 12.7 11.9 10.9 12.7 13.1 10.2 13.6 10.8 10.5 14.9 10.0 7.7 6.4 15.0 13.0 7.7 6.9 14.0 9.9 9.4 6.6 10.7 8.9 7.6 6.1 9.1 7.2 6.2 6.2 I (106 mm¹) 8.1 6.6 6.1 7.1 6245 4060 4785 3395 2795 2400 1860 2345 1360 1290 985 645 1005 762 554 728 554 410 620 397 216 125 574 367 178 121 347 222 164 99.1 142 103 70.8 49.1 60.8 45.8 34.5 20.0 22.2 13.4 AXIS X-X S (10³ min³) 8.87 4.70 13715 8880 11210 7980 6655 6225 4900 6735 3980 4230 3210 2145 3720 2800 2080 3080 2395 1770 2870 1915 1060 62.9 W152 X 37 X 24 W127 X 24 W102 X 19 *W means wide-flange beam, followed by the nominal depth in mm, then the mass in kg per meter of length. 3115 2015 1025 688 2145 1440 1060 633 1095 805 531 380 582 451 342 193 274 167 139 89.5 X I --X (mm) 378 366 356 343 335 310 302 290 277 257 249 234 229 220 217 199 196 190 180 177 168 159 158 154 148 146 138 134 132 132 112 110 111 108 89.7 88.1 86.7 83.6 68.6 66.0 54.1 43.7 1 (106 mm¹) 391 123 312 114 90.7 81.6 60.8 184 51.6 108 39.3 14.4 103 33.9 23.9 83.7 63.3 20.9 77.4 49.5 12.0 3.99 206 61.6 18.8 8.16 112 72.4 23.4 8.45 48.3 22.2 6.95 4.75 20.4 15.4 7.61 1.42 7.12 1.84 3.13 1.61 AXIS Y-Y S (10³ mm³). 1870 805 1560 775 620 610 457 1040 406 667 342 161 660 320 228 592 452 218 585 380 135 $7.2 1105 480 185 95.4 728 477 228 102 377 218 200 152 94.2 65.1 92.3 27.9 91.9 36.1 49.2 31.1 8 (mm) 94.7 63.5 90.4 62.7 60.7 57.2 54.6. 81.5 53.8 73.9 49.5 35.1 73.4 46.5 45.0 67.3 663 42.9 38.6 24.6 32.3 25.4 64.0 62.5 39.9 28.4 51.8 51.3 40.9 22.3 95.0 63.0 48.0 37.8 78.5 76.7 49.8 38.6 65.3 51.1 34.8 33.8
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