Question $1$

A shaft is loaded with three vertical loadings as shown from three different components that are rotating at a constant speed with the shaft using end mill keyse: The bearings at A and $B$ are mounted against sharp shoulder fillet. The whole mechanism is driven by a motor $($not shown$)$ which results in $200N-m$ of torque in entire shatt. All lengths shown in the figure are in mm$.$ If the shaft material is AlSI$1030$ CD steel, and the satety factor is $2,$

a$)$ Calculate reactions at the supports A and B

b$)$ Draw shear, moment, and torque diagram

c$)$ Where is the critical location?

d$)$ Estmate necessary latigue stress concentration factors at the critical locations.

e$)$ Compute the fully corrected endurance limit$.$

If Set up the equation for appropriate diameter calculation using Modified Goodrman criteria, You do not need to solve for the diameter.

Suppose you obtained a dameter value from f $,$ what is the next step?