Question $3$:

Figure $1-2$ A shaft as a part of a drive for an automated transfer system in a metal stamping plant

The shaft in Figure $1-2$ is part of a drive for an automated transfer system in a metal stamping plant. The shaft rotating at $400+\frac{q}{100}rpm$ carries a spur gear $B$ with $96$ teeth with a diametral pitch of $6.$ The teeth are of the $20,$ full$-$depth, involute form. Gear Q delivers $15+\frac{q}{10}kW$ to gear B; Sheave D delivers the power to its mating sheave, as shown. Use AISI $1040$ cold$-$drawn steel.

You are required to:

a$)$ Carry out a force analysis to determine the forces, including acting on the shaft at all power$-$transmitting elements.

b$)$ Compute reactions at the bearings

c$)$ Draw the complete torque, shear, and bending moment diagrams.

d$)$ Give a suggested geometry at point C of the shaft and specify the minimum acceptable diameter for the shaft at this point by implementing a design factor of $2\mathrm{.}5+\frac{q}{1000}.$

Neglect the weight of the elements on the shafts unless otherwise noted.

q$=329$