Question $1(100$ points$)$

Determine the largest force $P$ that can be applied to the beam if the allowable

bending stress is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=50$ ksi and the allowable shear stress is

${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=28$ksi. Assume the reactions at the supports at A and B are vertical.

Take $a=6$ in$.$