Problem $2$: Internal shear force$/$bending moment

$(20$ points$)$

For the beam shown below,

a$)$ Determine the support reactions at A and $C.($Point $A$ is a pin, and point $C$ is a roller$)(5$ pts$)$

b$)$ Draw the shear and bending moment diagram. $($need to label the values of shear and moment at critical points$)(10$ pts$)$

c$)$ Sketch the deflection shape. $($need to apply boundary conditions, draw the deflection with proper curvature, and locate points of inflection$)(5pts)$