Question # $1(60$ Marks$)$

a$)$ The student must draw neat free$-$body diagrams at the considered points the beam shown in figure below $(10$ Marks$).$

b$)$ Determine the reactions at supports A and D$,$ support A is pin and D is roller $(10$ Marks$)$

c$)$ Determine the maximum moment for the distributed load section. $(10$ Marks$)$

c$)$ Determine the shear and moment in the beam as a function of $x$ for each discontiounity point $(20$ Marks$),$ and draw their diagrams $(10$ Marks$).$

Figure $1$ Beam