Figure $3$ shows a continuous beam under triangular loading and with constant

flexural rigidity EI$.$

$($a$)$ Apply the flexibility method to find the support reactions of the beam. In your

solution sketch both the released structure $($R$.$S$.)$ under the actual loads and

the R$.$S$.$ under the action of the selected redundant.

$(25$ marks$)$

$($b$)$ Find the bending moment in the beam at x $=2$m$.$

$(5$ marks$)$