a$.$ A W $1022$ is used as a $10-$ft long pin$-$connected column. Determine the column's critical or buckling load. Assume that the steel has a proportional limit to $36$ ksi $.$

b$.$ Repeat part $($a$)$ if the length is changed to $5$ ft $.(20$ Points$).$

$I=A{r}^2$

$P=\frac{{}^{2}EI}{L^2}$

$f=\frac{P}{A}=\frac{{}^{2}E}{(\frac{L}{r}{)}^2}$