Problem $4(6$ points$)$ A reinforced concrete bridge single$-$column pier shown below $($i$.$e$.,$ elevation view$)$ supports three I$-$girders on its pier cap. The pier subjects to two load cases $($Case I and Case II$)$ as shown, where $P_D=$ concentrated point load due to service dead load and $P_L=$ concentrated point load due to service live load. The base of the pier is fixed to the foundation.

Using the appropriate ACI $318$ load combination$($s$),$ determine$/$draw the required shear force and bending moment diagrams for the pier cap under each of these loadings. Then, determine also the maximum or required moment for which the pier cap must be designed for under each loading case. Lastly, determine for the pier column the maximum or required moment for which it must be designed under each loading case. Take $P_D=36$ kips and $P_L=40$ kips.