Question $1(25$ pts$)$

Using the stress transformation equations, determine:

a$)$ The equivalent state of stress on an element oriented $\backslash (60^\{\backslash$circ$\}\backslash )$ clockwise from the element shown.

b$)$ The maximum in$-$plane shear stress with the associated normal stresses and the related orientation. Sketch the results on a properly oriented element.