Problem $3$:

The loading for the transfer beam described in the background looks like below. $Pu=113$ kip and wu $=1\mathrm{.}883klf.L=40$ feet.

a$)$ What is the maximum ultimate moment, Mu for the transfer beam? $($Hint: use the principle of superposition and the class beam analysis tables to find and combine formulas$).$

b$)$ Assuming the transfer beam is continuously laterally braced, select on optimal section $($Hint: calculate $Z$ required and select the section using Table $3-2).$