The figure below depicts a $1-$in diameter solid circular shaft supported by self$-$aligning

bearings $($simple supports$)$ at A and B$.$ Attached to the shaft are two chain sprockets loaded as

shown. Treat this as a quasi$-$static $($constant angular velocity$)$ problem. Ignore stress

concentrations. $($a$)$ Sketch internal load diagrams for the shaft and identify the location subjected

to the most severe state of stress $($the critical section$).($b$)$ Draw a Mohr's circle representation of

a point on the bottom of the shaft at the critical section. $($c$)$ Use the Mohr's circle diagram to find

the principal normal stresses and maximum shear stress at the critical section.