The simple pin$-$connected structure carries a concentrated load P$,$ as shown. The rigid bar is supported by strut AB and by a pin support

at C$.$ The steel strut AB has a cross$-$sectional area of $0\mathrm{.}17$in$^(2)$ and a yield strength of $63$ ksi $.$ The diameter of the steel pin at C is $0\mathrm{.}25$ in $.,$

and the ultimate shear strength is $48$ ksi $.$ If a factor of safety of $1\mathrm{.}63$ is required in both the strut and the pin at C$,$ determine the

maximum load P that can be supported by the structure. Assume L$\_(1)=8$in$.,$ a$=18$in$,$b$=4$in$.,$ and c$=8$in$.$