$4\mathrm{.}3-5$ Determine the available axial compressive strength of the column shown

below by each of the following methods:

a$.$ Use AISC Equation E$3-2$ or E$3-3.$ Compute both the design

strength ${}_c{P}_n($LRFD$)$ and the allowable strength $\frac{P_n}{{}_c}($ASD$).$

b$.$ Use Table $4-14$ from Part $4$ of the AISC Manual. Compute both

the design strength ${}_c{P}_n($LRFD$)$ and the allowable strength $\frac{P_n}{{}_c}$

$($ASD$).$ Interpolate table values for $L_{d}r.$