Q$3$

A ${1\mathrm{.}25}^{\text{'}\text{'}}$ diameter, $8^{\text{'}\text{'}}$ long steel bar $($AISI $1020$ Q&T $870C$; $Sy=43$ksi $)$ is loaded with the forces and torque as shown in this figure.

A$.$ Calculate the different stresses at Point $"$A$".$ Specify which stresses can you add linearly and which you can't.

B$.$ Draw a scaled, labeled Mohr circle for the stresses at Point $A$ on the grid provided. The angle is not needed.

C$.$ Calculate and show values for the max and min principal stresses.

D$.$ Calculate the von Mises equivalent stress, and the Distortion Energy Theory $($DET$)$ factor of safety.

E$.$ Calculate the Max Shear Stress Theory $($MSST$)$ factor of safety.