A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 46 kpsi. Using the distortion-energy and maximum-shear-stress theory determine the factors of safety for the following plane stress state: σx = 14 kpsi, σy = 4 kpsi, and ɩxy = 1 kpsi Factor of safety using distortion-energy theory = Factor of safety using maximum-shear-stress theory =