Given the beam below:

Determine the deflection at $D$ and the rotation at $C.$

A$)$ Using the virtual work method with long hand integration. Write you moment equations and integrate according to the table below.

$\backslash$table$[[$Section$,$Origin,Limits$],[AB,A,0$ to $12],[CB,C,0$ to $10],[DC,D,0$ to $10]]$

B$)$ Using the virtual work method using the integration tables.