Chapter 8, Concept Question 033 Select the most economical W shape in the follow

Question

Chapter 8, Concept Question 033 Select the most economical W shape in the following table if a section modulus of 90 in.3 is required Web Hange Flange Area Depth thickness width thickness Designation in. in. in. 9.87 109 9.69 82.518.4192 9.55 70.4 15.71.87 0.875 2700222 0.680 2100 176 05851830 154 0.505 0.685 0.615 0.535 0450 0.630 0.570 0.525 27.7 24.30.515 22.4 23.90.440 20 23.7 0.415 16.2 23.60.395 0.430 0400 0.380 0.350 0.390 14.7 18.00.355 11.8 1790.315 10.3 17.70.300 0.430 0.380 0.305 0.275 0.415 15.6 13.90.370 14.1 13.80.340 0.285 8.85 13.8 0.270 7.69 13.9 0.255 6.49 13.7 0.230 1350 1480 1330 984 843 890 800 8.30 134 W21 x 68 20.0 21. 8.60 64.715.7 8.54 57514.0 14.7 20.8 13.020.7 16.2 18.1 7.64 1.30 6.37 1.26 94.5 8.18 24.9 81.6 8,0620.7 98.37.4 44911.9 88.9 7.3840.10.71.65 68.4 7.2 19.1 57.6 7.0415.3 92.2 | 672 43.1 | 12.1 | 1.60 81.0 6.68 37 10.5 64.76.6328.9 47.2 6.41 W18 x 55 7.50 18 × 35 1.27 510 0.715 0.630 0.505 0.440 0.720 0.660 0.595 0.455 0.385 0.420 0.335 16.8 16.4 14.716.3 16.0 9.13 15.9 20.0 14.0 W 16 × 57 16 x 50 1.59 8.25 1.517 4.49 1.17 24.2 2.46 16 x 16 31 W14 x 68 10.0 722 6.01 121 77.8 5.89 57.7 14.31.92 70.2 5.85 51412.81.91 48.6 5.83 23.3 42.0 5.73 19.65.82 149 35.3 5.65 29.0 5.54 14 10.0 14.0 6.91 1.53 14 × 245 8.91 3.55 1.08 00 2.80 1.04 w18 ×50 w21 ×50 w16 ×57 w24 ×55 w14×68 c

Explanation / Answer

ANSWER : W 21 x 50

Select based on the following condition,

------> Select the section which has section modulus (Sx) greater than 90 in3 with least cross sectional area. Because c/s with least area means less steel and there by less cost. economical.

W 21 x 50 section has Sx = 94.5 in3 & area = 14.7 in2

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