Problem $3$: $(50$ points$)$

Consider the beam structure shown below:

Point $A$ is a pinned support and point $B$ is a roller support. Find the support reactions at A and $B.$

Find the shear force at the section $1m$ to the left of point $B.$

$(20$ points$)$

$(10$ points$)$

Find the bending moment at the section just left of point C and right of point C $.$ Comment and interpret on the difference between the two values.

$(20$ points$)$