3- A round shaft supports a transverse load of ()/(( ()/(mathrm{F})))=66720 ()/(mathrm{~N}) ()/() and carries a torque of ()/(( ()/(mathrm{T})))=0,791 ()/(mathrm{kNm}) ()/()., as shown in the figure. The shaft is machined from AISI 4140 steel, quenched and tempered at ()/(( 204^(()/(circ)) ()/(mathrm{C}) ()/()).) Document the location of the critical stress element and how you determined that element to be critical. (a) Determine the minimum factor of safety based on vielding according to the maximum shear stress theory
(b) Determine the minimum factor of safety based on vielding according to the distortion energy theory. (Sy= 1640 MPa for AISI 4140 steel) (30 points)