Problem$1$: For the column section shown below, a compression point load $P$ is applied on the X$-$axis with an eccentricity $e_x.$ Six No$.9$ longitudinal bars are used. $f_c^{\text{'}}=4,000$ psi. $f_y=60,000.$ The distance from the column surface to the center of outermost No$.9$ bars is $2\mathrm{.}5$ in$.$ at all four sides of the section. Assume the depth of compression zone $c=8$ in$.$ at the strength limit state. Please compute the unique pair of nominal axial strength $P_n$ and nominal moment strength $M_n.$ And compute the corresponding eccentricity $e_x.$