Problem

The structure shown is subjected to a uniformly distributed load. The allowable normal stress for member $BC$ is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=29$ksi, and the allowable shear stress for the pins is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=10$ksi. Determine the:

$($a$)$ required thickness of member $BC$ to the nearest $\frac{1}{4}$ in and $($Ans$.t=\frac{1}{4}in.)$

$($b$)$ diameter of the pins at A and $B$ to the nearest $\frac{1}{8}$ in $($Ans$.d_A=\frac{11}{8}$ in$.$; $d_B=\frac{13}{16}$ in$.)$