QUESTION $1(10$ marks$)$

A horizontal beam AE is simply$-$supported at A and $D$ and is loaded as shown in Figure $1.$

$($a$)$ Determine the vertical reactions, $R_A$ and $R_D,$ at the supports A and $D.$

$(2$ marks$)$

$($b$)$ Taking the origin for the beam at A $($i$.$e$.x=0),$ determine the general moment equation required for the Double Integration Method.

$(6$ marks$)$

Note : Do not integrate the equation.

$($c$)$ Write down the two boundary conditions for the beam.

$(2$ marks$)$