Problem $1$ Given: W $12$ x $120,$ A$992$ Grade $50($Fy $=50$ ksi$)$ steel shape is used for column AC in Fig$\mathrm{.}1.$

Service load P $=770$ kips $(70\%$ Dead load and $30\%$ live load$).$

Required: $(1)$ Draw buckling shape of column AC in both directions $($about X$-,$ Y$-$ axis, respectively$)$; $(2)$

Check if the column is safe.