Current Attempt in Progress The beam shown will be constructed from a standard steel W-shape using an allowable bending

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Current Attempt In Progress The Beam Shown Will Be Constructed From A Standard Steel W Shape Using An Allowable Bending 1 (182.8 KiB) Viewed 39 times

Current Attempt in Progress The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 20.9 ksi. Assume P = 38 kips, L₁= 5.5 ft, and L2 = 16.5 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 L₁ P B L2 P L₁ D X Y
Designation 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 Answer: (a) Smini (b) Wi (c) W-i Area A in.2 27.7 22.4 20.1 16.2 20.0 18.3 14.7 13.0 16.2 14.7 11.8 10.3 16.8 14.7 Depth thickness d in. 24.3 23.9 23.7 23.6 20.0 15.6 14.1 10.0 21.1 21.0 20.8 20.7 18.1 18.0 17.9 17.7 16.4 16.3 11.8 16.0 9.13 15.9 14.0 13.9 Web Flange width by in. 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 in. 0.515 0.440 0.415 0.395 0.430 0.400 0.380 0.350 0.390 0.355 0.315 0.300 0.430 0.380 0.305 0.275 0.415 0.370 0.340 0.285 0.270 0.255 0.230 in ³ xi lb 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 Flange thickness 4 In. 1, In. 0.875 2700 0.680 0.585 0.505 0.630 0.570 0.525 0.425 0.685 1480 140 0.615 1330 127 0.535 0.450 0.715 0.630 0.505 0.440 222 2100 176 1830 154 1350 114 984 843 890 800 612 510 758 659 518 375 10.0 0.720 0.660 8.06 8.03 0.595 6.75 0.455 6.73 0.385 5.03 0.420 5.00 0.335 S₁ "₂ In. 9.87 9.69 9.55 9.11 722 541 484 340 291 245 199 98.3 88.9 68.4 57.6 103 1, In. 109 77.8 70.2 48.6 42.0 35.3 29.0 8.60 64.7 15.7 1.80 8.54 57.5 14.0 1.77 94.5 8.18 24.9 7.64 1.30 81.6 8.06 20.7 6.37 1.26 92.2 6.72 6.68 81.0 64.7 6.63 47.2 6.41 6.01 5.89 5.85 5.83 5.73 5.65 5.54 -15 E 1 24.0 82.5 18.4 70.4 15.7 29.1 8.30 741 44.9 11.9 7.38 40.1 10.7 7.21 19.1 7.04 15.3 S₁ 43.1 37.2 28.9 124 121 57.7 51.A 23.3 19.6 8.91 7.00 6.35 5.12 12.1 10.5 " 8.25 4.49 In. 1.98 1.92 1.87 1.34 1.67 1.65 1.27 1.22 1.60 1.59 1.57 1.17 24.2 2.46 14.3 1.92 12.8 6.91 5.82 3.55 2.80 1.91 1.53 1.49 1.08 1.04