The beam shown will be constructed from a standard steel W shape using an allowable bending stress of 19.3ksi. Assume P. 55 kips. ma 11 -3.5 ft. and L2 - 10.5 11. (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 (e. not including the loads that are carried by the beam/? Р B D LI L2 qu
Y + 11 d X-H-X IM Y
Wide-Flange Sections or W Shapes—U.S. Customary Units Web Depth thickness d Area Flange width By Flange thickness Designation S in? . in. in. in. in. in. in. in. in. In. 222 176 154 114 9.87 9.69 9.55 1.98 1.92 1.87 1.34 20.1 9.11 0.515 0.440 0.415 0.395 0.430 0,400 0.380 0.350 0.390 0.355 0.315 0.300 2700 2100 18.30 1350 1480 1330 984 843 109 82.5 70.4 29.1 64.2 525 24.9 20.7 W24 x 94 24 x 76 24 x 68 24 x 55 W21 x 68 21 x 62 21 x 50 21 x 44 W18 x 55 18 x 50 18 x 40 18 x 35 W16 x 57 16 x 50 16 x 40 16 x 31 W14 x 68 14 x 53 14 X 48 14 x 34 14 x 30 14 x 26 14 x 22 0.875 0.680 0.585 0.505 0.685 0,615 0.535 0,450 0.630 0.570 0.525 0.425 8.60 8.54 X.18 8.0 27.7 24.3 22.4 23.9 23.7 16.2 23.6 20.0 21.1 18.3 21.0 14.7 20.8 13.0 20.7 16.2 18.1 147 18.0 11.8 17.9 10.3 17.7 16.8 16.4 14.7 16.3 11.8 16.0 9.13 15.9 20.0 14.0 15.6 13.9 14.1 13.8 10.0 14.0 8.85 13.8 7.69 13.9 6.49 13.7 9.07 8.99 8.97 7,01 8.27 8.24 6.53 6.50 7.53 7.50 6,02 6,00 7.12 7.07 7.00 5.53 10.0 8.06 8,03 6,75 6.73 5.03 5.00 1:40 127 S HL 983 NU 68.4 576 24.0 18.4 15.7 8.30 15.7 14.0 70 6.37 11.9 10.7 635 5.12 1.80 1.77 1.30 1.26 1.67 1.63 1127 1.22 449 40.1 191 890 800 612 510 7:41 738 721 7,04 922 758 659 518 375 810 64.7 47.2 12.1 10.3 8.25 4.49 1.60 1.59 1.52 1.17 0.430 0.380 0.305 0.275 0.415 0.370 0.340 0.285 0.270 0.255 0.230 0.715 0.630 0.505 0,440 0.720 0.660 0.595 0.455 0.385 0,420 0.335 722 541 484 340 291 245 199 103 77.8 702 48,6 42.0 35.3 29.0 6.72 6,68 6,63 641 6.01 3.89 5.85 5.83 5.73 5.65 5.54 15.3 -13.1 37.3 28,9 12:4 121 57.7 31.4 23.3 19,6 8.91 7.00 242 143 12.8 6.91 5.82 3.55 2.80 2.46 1.92 1.91 133 1.49 1.08 1.04
Answer: (a) Smin = i in. 3 (b) W i X i (c) W = i Ib
The beam shown will be constructed from a standard steel W shape using an allowable bending stress of 19.3ksi. Assume P.
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The beam shown will be constructed from a standard steel W shape using an allowable bending stress of 19.3ksi. Assume P.
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