Problem $2($Part $2-$ Stresses$)$

A circular shaft of diameter D $=118$ in $(1\mathrm{.}125$ in$.)$ is made of AISI $1045$ CD$.$ It has a notch of radius $116$ in$.$ at the midway point. The shaft is subjected to a steady torque of $1200$ lbf$-$in$.$ The forces on the shaft in the$$ xy and xz planes are shown in the figure below. Design for$$a reliability of $99\%.$

$($i$)$ Determine the moments and torques $($Ma$,$ Mm$,$ Ta$,$ Tm$)$ at the critical location.

$($ii$)$ Determine the stresses amamafter determining the stress concentration factors.$$

$($iii$)$ Determine von$-$Mises stresses a$$and m$$

$($iv$)$ Determine equivalent completely reversed stress ar$=$a$1$m$$Sut