The solid $0\mathrm{.}5-$in$.-$diameter steel $[E=26000$ksi shaft supports three belt pulleys. Assume that the bearing at A can be idealized as a pin support and that the bearings at $C$ and $E$ can be idealized as roller supports. For the loading shown, determine:

$($a$)$ the reaction forces at bearings $A,C,$ and $E.$

$($b$)$ the magnitude of the maximum bending stress ${}_{\text{m}\text{a}\text{x}}$ in the shaft.

Assume $a=14in.,b=9$ in$.,P=190lb,Q=310lb,R=150lb.$

Answers:

$($a$)A=$ i

$lb,C=$ i

$lb,E=$ i $$ lb$.$

$($b$){}_{\text{m}\text{a}\text{x}}=$ ksi.