The same shaft from problem $1($identical size, material, surface finish, reliability, transverse force$)$

is now subjected to an additional axial force, $F_x,$ that fluctuates between $+5000$ lb and $-1000$ lb $.$

$($a$)$ Sketch maximum$-$stress, alternating$-$stress, and mean$-$stress stress elements for the critical

section$/$point on the shaft $($show the stresses symbolically$).$ Calculate the static factor of safety using

$($b$)$ the MSSTF and $($c$)$ the DETF. Calculate the infinite life fatigue factor of safety at the critical

section using $($d$)$ the Soderberg criterion and $($e$)$ the Goodman criterion.

$($a$)$