Average Normal and Average Shear Stress, Factor of Safety

Rectangular Bar AB is supported with Round Bar BC and a pin at A and loaded as shown. Bar BC is pin connected to Bar AB$.$ Member $AB$ is $6$ feet long. As shown, pin $A$ is in double shear and pin $B$ is in single shear.

Draw a FBD of Bar AB $($hint: Bar BC is $2-$force memb

Determine the axial force in member $BC.(3$ pt

$($A$)14\mathrm{.}4$ kip $($C$)$

$($B$)15\mathrm{.}0$kip$(T)$

$($C$)13\mathrm{.}8$kip$(T)15\mathrm{.}6$ kip $($T$)$

Determine the minimum required diameter $($to the nearest $0\mathrm{.}25$ inches$)$ for member BC if the axial stress cannot exceed $12\mathrm{.}0$ ks $,$ based on a Factor of Safety $=2\mathrm{.}8.(6$ pts$)$

Required diameter $=$

Determine the magnitude of the resultant reaction force at pin $A.(3$ pts$)$

$($A$)4\mathrm{.}21$ kip

$($B$)4\mathrm{.}04$ kip

$($C$)3\mathrm{.}73$ kip

$($D$)3\mathrm{.}89$ kip

Determine the average shear stress in pin $A$ if it has a $0\mathrm{.}5$ inch diameter. $(3$ pts$)$

Average shear stress $=$