Point A is fixed to a wall, Points B$,$ C and D are locations of roller supports. There is a uniformly distributed load $($UDL$)$ of $30$ kN$/$m between points A and B over a span of $4$ meters. A point load of $108$ kN is applied $2$ metres to the right of point B$.$A moment of $135$ kN$$m is applied $3$ metres to the right of point C$.$AB span is $4$ meters. BC span is $3$ meters. CD span is another $5$ meters.

Use the "Force Method" to analyse the beam. Create the primary structure by inserting hinges at A$,$B and C$.$Draw the free body diagram, shear force diagram, and bending moment diagram. Assume EI is constant.