Problem $3(20$ Points$)$:

The element is subjected to the given state of stress.

A$.$ If ${}_x=36$ksi, determine the factor of safety $($F$.$S$)$ for the loading based on $1)$ maximum shear stress theory, and $2)$ maximum distortion energy theory.

B$.$ If the factor of safety $F.S=1\mathrm{.}65,$ examine if the element is safe based on $1)$ maximum shear stress theory, and $2)$ maximum distortion energy theory.