Question $1$: Three$-$moment equation $(25$ marks$)$

The beam shown in Figure $1$ has fixed support at A while the supports $B$ and $C$ are rollers. EI is constant along the length of the beam and $($:$I=820{10}^{6}m{m}^4\},$ use threemoment equation and determine the following:

$($a$)$ Support moments

$($b$)$ Support reactions

$($c$)$ Draw the bending moment and shear force diagrams

$($d$)$ Use a software and analyse the beam