Q$4.$ Consider a four$-$story building with steel columns. The column is subjected to the loading shown in the accompanying figure. Assuming axial loading, $($a$)$ determine vertical displacements of the column at various floor$-$column connection points and $($b$)$ determine the stresses in each portion of the column. $($E $=27**{10}^{6}l\frac{b}{i}n2,A=59\mathrm{.}1in2$