$[1]$Sketch and stack the internal shear and internal bending moment diagrams. Label all functions. Assume there are x$1,$ x$2,$ and x$3$ coordinates originating at A$,$ B$,$ and C$,$ respectively.

$[2]$ Sketch the deformed shape based on the M$($x$)$ diagram, support conditions, and other constraints.

$[3]$For the span AB$,$ conduct a first integration for x$1$ and note the lack of boundary conditions to solve for the first constant of integration, C$1.$ Carry the unknown C$1$ forward.

$[4]$ For the span AB$,$ conduct a second integration for x$1$ and note the one available boundary condition to solve for the second constant of integration, C$2.$ Continue to carry the unknown C$1$ forward.

$[5]$For the span BC$,$ conduct a first integration for x$2$ and note the one availableboundary condition to solve for the third constant of integration, C$3,$ in terms of the first constant of integration, C$1.$ Continue to carry the unknown C$1$ forward.

$[6]$For the span BC$,$ conduct a second integration for x$2$ and note the two available boundary conditions to solve for the fourth constant of integration, C$4,$ and the first constant of integration, C$1.$

$[7]$ For the span CD$,$ conduct a first integration for x$3$ and note the one available boundary condition to solve for the fifth constant of integration, C$5.$

$[8]$For the span CD$,$ conduct a second integration for x$3$ and note the one available boundary condition to solve for the sixth constant of integration, C$6.$

$[9]$Calculate the slope $($in radians$)$ and displacement $($in mm$)$ at D$.$ Assume E $=200$ GPa and I $=70$x$106$ mm$4$ throughout the beam.