Question $2$: Deflection in statically determinate beam $-$ Moment Area method $(20$ marks$)$

The beam shown in Figure $2$ has a constant elastic modulus $($E$)$ of $70$GPa along its length. The moment

of inertial of point A to point B is half of the moment of inertial of point B to point $D.$ The moment of

inertial of B to D is $0\mathrm{.}5{10}^{9}m{m}^4.$ Use the moment area method to determine the:

$($a$)$ Slope at points B

$($b$)$ Deflection at points D