$($Maximum $10$ points$)$ The shear force diagram for a determinate beam is given in figure $1.$ Answer

the following:

$($a$)(2$ points$)$ What support conditions at $A,$ and at $C,$ are consistent with the shear force diagram??

$($b$)(2$ points$)$ Identify the possible loadings that can occur on the beam.

$($c$)(4$ points$)$ Draw the bending moment diagram for the beam.

$($d$)(2$ point$)$ Draw the influence line diagram for the support reaction at A for the beam $AC.$

Figure $1$: Structure for Question $2.$