For the beam and cross$-$section shown in the figure, determine the maximum service load $P_L$ that can be applied to it if the uniform service $($unfactored$)$ dead load $(w_D)$ is $0\mathrm{.}5$kip$\frac{s}{f}t($not including the beam weight$)$ and the uniform service $($unfactored$)$ live load $(w_L)$ is $1\mathrm{.}0ki\frac{p}{f}t.$ The beam has compression reinforcement as shown, and it has No$.4$ closed stirrups. Material properties are $f_c^{\text{'}}=5500$ psi and $f_y=60,000$ psi.