Problem $2(33\%)$

A force of $P$ is applied at joint $C$ where two steel circular rods connect using a pin

connection. The allowable axial stress for steel is $22$ksi. The diameter of Rod AC is $0\mathrm{.}75$

in and the diameter of Rod BC is $0\mathrm{.}875$ in$.$

Determine the member force in rod $AC$ in terms of $P,F_{AC}(P)$

Determine the member force in rod $BC$ in terms of $P,F_{BC}(P)$

Determine the value of the applied force $P$ that will cause failure in rodAC,$P_{AC}$

$($allow$)$

Determine the value of the applied force $P$ that will cause failure in rod $BC,P_{BC}$

$($allow$)$

What is the largest horizontal force $P,P_{\text{a}\text{l}\text{l}}{w}_{}$ that can be applied to the structure.

For $P_{\text{a}\text{l}\text{l}\text{o}\text{w}}$ and allowable shear stress equal to $10$ksi what is the required diameter

of the single shear pin at $A?$

For Pallow and allowable shear stress equal to $10ksj$ what is the required diameter

of the double shear pin at B$?$