A rectangular $1420$ in$.$ column is reinforced with eight No$.8$ rebars as shown

below. The concrete compressive strength, $f_c^{\text{'}}=5,000$ and the steel yield strength,

$f_y=60,000$

$($a$)$ Calculate the axial load carrying capacity $P_n,$ assuming concentric loading.

$($b$)$ Calculate the axial load carrying capacity, nominal moment, and eccentricity

for the case where the strain in tension steel is zero.

$($c$)$ Calculate the axial load carrying capacity, nominal moment, and eccentricity

for the case of balanced condition.

$($d$)$ Calculate the axial load carrying capacity, nominal moment, and eccentricity

for the case of tension$-$controlled failure.