Problem $3$

Consider the beam$-$column member, W$12$X$106$ in problem $1.$ The member is subjected to uniformly distributed

loads in its major and minor axis directions. The factored loadings are $w_{ux}=4\mathrm{.}0ki\frac{p}{f}t$ and $w_{uy}=1\mathrm{.}0ki\frac{p}{f}t.$ The

length of the member is $15\text{'},$ and it is laterally braced at the ends only. The member $($which is pinned$-$pinned at

ends$)$ also carries a factored axial compressive load $P_u=400$ kips. Determine the interaction ratio for the member.

Neglect self$-$weight.