Problem $2$

Consider the Mohr's circle $($shown to the right$)$ for an element. The principle stresses on the element related to this plot occur at an orientation $40$ degrees CW from the initial stress configuration.

$($a$)$ Determine the principle stresses.

$($b$)$ Determine the initial stress configuration.

$($c$)$ Determine the maximum shear stress magnitude and the angle it occurs at relative to the initial stress configuration.