Problem $2(30$ points$)$

Consider the tire wrench made of brittle material requiring the inclusion of the stress concentration for the fillet at $A.$ It is

loaded with $F_y=250lbf$ and $F_x=F_z=0.$ For the stress state in the small diameter of the shoulder at $A$ :

Determine the precise location of the critical tensile stress element.

Sketch the critical tensile stress element and determine the maximum normal and shear stresses at the fillet radius.

Determine the principal stresses and the extreme value shear stress.