A 12-ft W12x120, A992 Grade 50 steel, is used as a beam-column in a braced frame

Question

A 12-ft W12x120, A992 Grade 50 steel, is used as a beam-column in a braced frame. It is bent in single curvature with equal and opposite moments. Its ends are rotationally restrained and it is not subjected to intermediate transverse loads. Is the section satisfactory if Pu = 200 kip and the first order moments Mntx = 175 k-ft and Mnty = 125 k-ft? Assume that Kx = Ky = 1.0
A 12-ft W12x120, A992 Grade 50 steel, is used as a beam-column in a braced frame. It is bent in single curvature with equal and opposite moments. Its ends are rotationally restrained and it is not subjected to intermediate transverse loads. Is the section satisfactory if Pu = 200 kip and the first order moments Mntx = 175 k-ft and Mnty = 125 k-ft? Assume that Kx = Ky = 1.0

Explanation / Answer

axial load capapcity of W12x120 for effective length of 12 ft = 1360 kips(from Table 1 of AISC)

bending capapciyt of section about its major axis = 698-(698-428)/(56.5-11.1)*(12-11.1)=692.6 kip-ft

beding capapcity of section abpout its minor axis = 576.4 kip-ft

from the interaction check,we get (200/1360)+(8/9)*(175/692.6)+(8/9)*(125/576.4) = 0.56<1

Therefore, section is adequate

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