Q$.4($a$)$ Draw the conjugate$-$beam for the real beam, as shown in Figure $4,$ and the corresponding loading.

$(2$ marks$)$

$($b$)$ Use the conjugate$-$beam method to determine the slope and deflection of real beam at $\backslash ($ A $\backslash ).$ Assume $\backslash ($ B $\backslash )$ and $\backslash ($ C $\backslash )$ are roller and pinned supports, respectively. El is a constant.

$(6$ marks$)$