$(2)$ For the joint shown below, assuming point $A$ is the critical point, will the structure fail? Use the distortion energy theory, where the material has a yield strength of ${}_{yp}=25$ksi, and $N_{fs}=1\mathrm{.}5.$ The component has a rectabgilar cross section of $3\mathrm{.}5in1\mathrm{.}5in.$

Recommended steps:

$($a$)$ Obtain the FBD at section a$-$a$,$ and show the loading.

$($b$)$ Determine the state of stress at point A$.$

$($c$)$ Determine the principle stress at this point $($point A$)$

$($d$)$ Apply failure theory