Problem $2$

Determine the deflection, moment, and shear diagram equations for the beam below using integration of the

fourth order governing differential equation for beams, EIv$($x$)=$ w$($x$).$ Remember that w$($x$)$ represents

a distributed load, thus w$($x$)=0$ here. Also remember that you will need to define deflection equations

separately for sections AB and BC$,$ thus you will need four boundary conditions $($associated with the supports

at points A and C$)$ and four continuity conditions $($associated with known values and continuity requirements

at point B$).$