Q$.1$ A simply supported beam ABCDEF as shown in Figure Q$1$ is subject to three sets of loads, including two point loads at A and $C$ respectively, and a uniformly distributed load $($ UDL $)$ on segment DEFF.

$($a$)$ Find the reaction forces at supports $B$ and $E.$

$(3$ marks$)$

$($b$)$ Draw the shear force diagram with magnitudes for the beam and determine the location of the point with zero shear force.

$(5$ marks$)$

$($c$)$ Draw the bending moment diagram with magnitudes for the beam.

$(6$ marks$)$

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

$(2$ marks$)$