The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 14.7 ksi. Assume P = 39 kips, L₁= 2.1 ft, and L2 = 6.3 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? A Designation X Wide Flange Sections or W Shapes-U.S. Customary Units Wid Ar Depà thicknes 2 Flange Flor with Blickass by " W24x94 24 x M 2455 W21x lb 21x12 21 x 44 WI8X55 18x50 18 x 40 18x35 Win 87 16x50 16x40 16 x 31 IN PEM 14 x 26 x 22 14 ¹7 in.³ (b) W i i (c) W = i In 21.7 243 0515 114 259 201 285 162 216 0.345 0415 200 21.1 043) 0.400 163 21.0 ww ww 34.7 20.8 0.380 114 0.199 16.7 163 181 0.749 B 147 180 (14 Answer: (a) Smin = i AXE 14:53 14×48 341 138 14×34 300 140 14x30 8.39 138 191 LIE IND 0.311 113 12.9 0313 30.3 17.3 0,300 IM 164 M 14.7 11.4 160 0.315 9.13 159 0.275 200 14.0 0413 154 135 13.9 0.370 m. in. www 369 139 6.49 13.7 1410 643) WED caro 0343 0.245 0.73 0.255 0.230 M. 4 4.97 201 827 824 651 050 9.07 0.875 11/01 0.585 INY 741 7.91 6.12 600 353 www L2 140 4.00 6.75 671 4 500 500 In M 7.12 7.07 700 0505 0305 QARS 0615 0503 DANI LAVO 0.531 0.325 0.425 0.715 860 0630 0.995 0455 1, 0.009 0430 0.335 2700 WHILE 1830 1300 164 LIN 1880 14000 140 127 MMI HRI 612 510 754 518 0400 375 0.731 0.000 169 601 722 541 484 3400 291 243 ww 8₂ 199 In 222 I'M 134 114 10 945 NI A AFR 943 741 018 7.38 644 2.21 57.6 7.04 922 612 P 6.68 647 77.8 702 486 4201 35.3 NO 290 Fy in. In in/ 987 109 24.0 ww 41.3 114 2004 15.3 8.30 WIN L₁ 9.11 201 810 64.7 15.9 854 575 140 200 8.18 249 20.7 W 4, 5.85 583 ATS 3.65 5.54 =D 19.1 15.3 411 24.9 641 124 's 419 119 40.1 307 K 5.12 TA 764 6.17 12.1 10.5 8.25 4.49 ADI 121 24.2 5.50 37.7 14) 314 12.8 21.3 5.42 3.35 1.80 4 H. 1.98 1.43 1.47 1.34 1.00 1.77 1.30 1.36 1.67 141 1.2) 140 www 1.99 1.57 1.19 2.46 1.92 191 1.53 149 1.06 ** 1.04