Problem 1: (50 pts) The part shown is loaded at point B with F in the negative y-direction, at point C with 2(F)/(3) in the negative z-direction and at point D with a force of components 2F in the positive x-direction and (F)/(2) in the positive y-direction. The rod AB is fixed at A and has a length 5.5 in and a diameter d=1 in. The rod is machined from AISI 1040 HR steel with Sut =76kpsi and Sy =42kpsi. Using the maximum shear stress theory: determine the maximum value of F that could be applied without plastic deformation.