Determine slope at A and vertical deflection at point $D$ of the beam loaded as shown in the Figure below

using virtual work method. The cross session of the beam is constant throughout its length and

moment of inertia is $150{10}^{6}m{m}^4.$ A is a roller support, and C is a fixed. There is an internal pin $($hinge$)$

at point B$.$ Take $E=200$GPa.