$(25$ points$)$ The beam in Figure $3$ supports a uniform live load of $1ki\frac{p}{f}t$ and a live$(25$ Points$)$ Draw the influence lines for the following reactions $($see Figure $1)$:

$($a$)$ Moment at A$,($b$)$ vertical reaction at A$,($c$)$ shear at B$,$ and $($d$)$ moment at B$.$ Note: Label the values for each influence line plot at each point A$,$ B$,$ and C$.$

concentrated load of $4$ kips:

$($i$)$ Draw the influence lines for: $($a$)$ the moment at $C,($b$)$ the vertical reaction at $A,$ and

$($c$)$ the vertical reaction at $B.$

Note: There is a short link at E $($Allows rotation as a hinge connection$).$ Make sure to

label values.

$($ii$)$ Determine the maximum moment at $C.$