Problem $05\mathrm{.}076-$ Calculating the minimum diameter of a shaft

The figure shows a shaft mounted in bearings at A and D and having pulleys at B and C $.$ The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of AISI $1035$ CD steel. The design factor is $2.$

The value of $F_{B1}=200lb,F_{B2}=33\mathrm{.}3lb,F_{C1}=39\mathrm{.}4lb,$ and $F_{c2}=261\mathrm{.}6lb.$

Problem $05\mathrm{.}076.$b $-$ Calculating the minimum diameter of a shaft

Determine the value of the moment at points $B$ and $C.$

The maximum moment on plane $x-y$ at point $B$ is

$q,$ in llb$.$

The maximum moment on plane $x-z$ at point $C$ is