A$.$ Solve for the reactionary forces at A and C$.$ Sketch and stack the internal shear and internal bending moment diagrams. Label all functions.

B$)$In order to calculate the vertical displacement at D using the principle of virtual work, determine the internal shear and internal bending moment functions attributable to the virtual loading.

C$)$ In order to calculate the rotation at D using the principle of virtual work, determine the internal shear and internal bending moment functions attributable to the virtual loading.

D$)$ Calculate the vertical displacement at D using the principle of virtual work $($accounting for bending only$).$ Assume E $=200$ GPa and I $=70$x$106$ mm$4.$

E$)$ Determine the rotation at D using the principle of virtual work $($accounting for bending only$).$ Assume E $=200$ GPa and I $=70$x$106$ mm$4.$