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The simple pin$-$connected structure carries a concentrated load $P$ as shown in the Figure. 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 $0\mathrm{.}75i{n}^2$ anda yield strength of $60$ ksi $.$ The diameter of the steel pin at $C$ is $0\mathrm{.}5$ in $.,$ and the

ultimate shear strength is $54$ ksi $.$ If a factor of safety of $2\mathrm{.}0$ is required in both the strut and the

pin at $C,$ determine the maximum load $P$ that can be supported by the structure

$35$ points

$F_s=2$