Problem $1$: For the simply supported beam shown below.

$($i$)$ Draw the free body diagram and determine the reaction force at A and C $.$

$($ii$)$ Determine the Shear force and Bending moment equations of segment $($AB$)$ and $($BC$)$ of Beam ABC.

$($iii$)$ Draw the Shear force and Bending moment diagram of beam ABC