Consider a simply supported beam in Figure $2$ below. The beam is subjected to point loads at B and C of $120$ kN and $160$ kN $.$ Using the moment area method, do the following.

$2\mathrm{.}1$ Calculate the reactions at A and D$.(2)$

$2\mathrm{.}2$ Draw the M$/$El Diagram for the beam. $(2)$

$2\mathrm{.}3$ Calculate the rotation of the beam about D relative to $A({}_{DA}).(5)$

$2\mathrm{.}4$ Calculate the deflection of the beam about D relative to $A({}_{DA}).(5)$

$2\mathrm{.}5$ Calculate the rotation of the beam about $A({}_A).(1)$

Figure $2$: Simply Supported Beam

$[15$ Marks$]$