Problem $3$

Figure $3$: Structure $3.$

$($a$)$ Determine the reaction forces at the supports.

$($b$)$ Find the shear force $V(r)$ and draw its diagram. Find the point where the shear force is mull in the segment AC$.$

$($c$)$ Find the bending moment $M(x)$ and draw its diagram. What is the maximum positive value of the bending moment?

$($d$)$ Sketch the qualitative deflected shape. Make a clear sketch that respects the boundary conditions and curvature of the beam.