Q$.2$ An overhanging beam $\backslash (\backslash$boldsymbol$\{$A B C D$\}\backslash )$ shown in Figure $\backslash (\backslash$boldsymbol$\{$Q$\}\mathrm{.}2\backslash )$ supports three sets of loads, namely a uniformly distributed load on the length of $\backslash (\backslash$boldsymbol$\{$A$\}\backslash$boldsymbol$\{$C$\}\backslash ),$ point loads at $\backslash (\backslash$boldsymbol$\{$B$\}\backslash )$ and $\backslash (\backslash$boldsymbol$\{$D$\}\backslash ).$

$($a$)$ Find the reactions at supports $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ and $\backslash (\backslash$boldsymbol$\{$C$\}\backslash ).$

$(3$ marks$)$

$($b$)$ Draw the shear force diagram with magnitude for the beam.

$(5$ marks$)$

$($c$)$ Draw the bending moment diagram with magnitude for the beam and determine the location$($s$)$ of the point with zero bending moment.

$(7$ marks$)$

$($d$)$ Sketch the deflected shape of the beam.

$(2$ marks$)$

Figure $0\mathrm{.}2$