For the beam shown below:

$($a$)$ Draw the influence lines for the reaction at $C,$ the shear at $D$ and the moment at $E.$

I.L$.$ for $R_C$

I.L$.$ for $V_D$

I.L$.$ for $M_E$

$($b$)$ Suppose a uniformly distributed live load of $0\mathrm{.}65ki\frac{p}{f}t$ and a concentrated live load of $P=8$ kip are applied to the beam. Use the results in part $($a$)$ to determine the maximum moment at E$.$ Also show the position of the live load for this limiting case.