Question $(2)$

A cantilevered stepped shaft is made of steel having yield strength of $700$MPa. The shaft diameters are $36mm$ and $30mm$ with a fillet radius $r=3mm.$ The shaft is subjected to a transverse load $F=5kN$ and a torque $T=800Nm.$

a$)$ Find the strength factor of safety based on the distortion$-$energy theory and conpare it with the maximum shear stress theory.

b$)$ Find the maximum torque that can be applied to the shaft based on the stress concentration chart shown.