Example $2($shingley$\text{'}$s mechanical engineering design book$)$

This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion$-$energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI $1006$ colddrawn steel and is loaded by the forces $F=0\mathrm{.}55kN,P=8\mathrm{.}0kN,$ and $T=30N*m.$