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free body diagram,

An AISI $1020$ cold$-$drawn steel shaft with the

geometry shown in the figure carries a transverse load of $7$ kN and a torque of $107$ N $-$ m $.$ Using the DE$-$Goodman criterion, what is the factor of safety guarding against a fatigue failure at $($a$)$ the location of the shoulder between the $45$ and $40$ mm diameters $(225$ mm from the left$)$ and $($b$)$ the location after the right bearing $(345$ mm from the left$).$ Remember that in doing the bending moment diagram, the reaction forces are at the center of the bearings $(15$ mm and $330$ mm from the left$).$ Also, the torque is only exerted om the right part of the shaft after the $7$ kN force. At the $345$ mm location, there is only steady torque, so you will need to use the static criterion against yielding.

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