Q$.1$ The continuous beam ABCDE subjected to external loads is shown in Figure Q$1$ below. Joint $B$ is an internal hinge of the beam.

$($a$)$ Sketch the free body diagram for the segment $AB.$

$(2$ marks$)$

$($b$)$ Determine the support reactions at $A,C$ and $E.$

$(7$ marks$)$

$($c$)$ Draw the annotated shear force diagram for the beam.

$(7$ marks$)$

$($d$)$ Draw the annotated bending moment diagram for the beam.

$(6$ marks$)$

$($e$)$ Sketch the deflected shape for the beam.

$(3$ marks$)$