(Solved): (70 pts.) The cantilevered bar in the figure is made from a ductile material and is statically loa ...

(70 pts.) The cantilevered bar in the figure is made from a ductile material and is statically loaded with \( \mathrm{Fx}=0 \mathrm{lbf} \), Fy \( =250 \mathrm{lbf} \), and \( \mathrm{Fz}=0 \). Analyze the stress situation in the small diameter at the shoulder at \( \mathrm{A} \) by obtaining the following information. Do not consider the effect of stress concentration due to the shoulder. (a) Determine the precise location of the critical stress element at the cross section at A. (b) Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it. (Transverse shear may be neglected if you can justify this decision.) (c) For the critical stress element, determine the principal stresses and the maximum shear stress.