Question

P16.042 (GO Tutorial) The structural steel column shown in the figure is fixed at its base and free at its upper end. At the top of the column, a load P is applied to the stiffened seat support at an eccentricity of e = 8.125 in. from the centroidal axis of the wide- flange shape. Use the AISC equations given in Section 16.5 and assume that E = 29000 ksi and oy = 36 ksi. Employ the allowable stress method to determine: (a) whether the column is safe for a load of P = 12.0 kips. Report the results in the form of the stress ratio σχ Oallow (b) the magnitude of the largest eccentric load P that may be applied to the column Assume L 11.75 ft, a = 0.525 in ., b = 7.000 in ., c = 8.050 in ., d =7.750 in ., and t = 0.42 in eccentricity e C d Cross section Enter the stress ratio and choose the correct answer regarding whether the column is safe or unsafe a) σχ Oallow The column is The column is Safe Unsafe Enter the magnitude of the largest eccentric load P that may be applied to the column b) kips P =

Answer 1

Section properties A= 2 0.525G 75DDCO-4- (7:33)()= 127:389 in4 )(8.05) 2(053575 042 40.773 i 127-389 40 713 tb. i-OT15

himitong slenderness rato 4.7) E 4.7129,000 36 133'68| KzL CR11-75 lft). 83.18 3.39 2(11-75f2n. Uty 146.815 elastic buckling stress T2000 13-261ksi 146875) Critical ez ME KL F Snce E KL 74:71 Cr0.817:0.817 (13267) CY 35 ksi Vallo Cr- 1 635 qlow= 6-967 ksi 12 kips stress method allooable P+ Mzc A 2)(125)5/2) = (12) l-0775 12T.389 4049ksi 4.049 6967 58 - allow safe b) Largest eccertric toad P (8125) 1.7512)6967 27-389 T10775 P20.65 ksi