Problem $2(35$ points$)$: Calculate the immediate dead load deflection for a simply supported beam with the cross section shown in the following figure. The beam clear span is $25$ ft and supports a dead load of $2\mathrm{.}0$kip$\frac{s}{f}t,$ including its own self weight plus a live load of $1\mathrm{.}5$kip$\frac{s}{f}t.$ The concrete strength is $4500$ psi $.$

Design Code: ACI $318$: $19$ Building Code Requirements for Structural Concrete

${}_{\text{m}\text{i}\text{d}}=\frac{5}{384}*\frac{w{4}^4}{ET}=\frac{5}{48}*\frac{M_{\text{p}\text{o}\text{s}}{l}^2}{EI}$