Problem 3 A beam column is made of a W 14 x 132 section of A992 steel carries an

Question

Problem 3 A beam column is made of a W 14 x 132 section of A992 steel carries an axial load and two equal end-moments at both ends in an anti-symmetric position (as shown). The axial load consists of 200 kips service dead load and 350 kips service live load while both end-moments have a 100 k-ft service dead load moment an pinned. Check whether the given section is adequate to carry the applied loads. The beam-column is part of a braced frame d a 200 k-ft of service live load moment. The column has a span length of 10 ft with both ends and bending is about the strong axis. (40 points) R 200 ab P 350 MD 100 ok I 0 MIOO ML = 200k..ft 200 P 350

Explanation / Answer

Total factored axial load in beam-column=(1.2*200)+(1.6*350)=800 kips

Total factored moment in beam-column=(1.2*100)+(1.6*200)=440 kip-ft

given section is W14x132

axial load capacity of W14x132 for effective length of 10 ft = 1620 kips

moment capapcity of beam column for unbraced length of 10 ft = 878 kip-ft

combined forces check:

800/1620 + (8/9)*(440/878)=0.94

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