Shear Force $(V)$ and Bending Moment $(M)$ in a loaded beam are related by the formula $\frac{dM}{dx}=V.,$ or $,M_B-M_A={\displaystyle \underset{x_A}{\overset{x_A}{}}}Vdx,$ where $M_A$ and $M_B$ are bending moments at $x_A$ and $x_B,$ respectively.

$($a$)$ The bending moment diagram for a simply supported beam is shown below. Qualitatively plot the variation of the shear force $(V)$ for this bending moment $(M)$ diagram. The beam is loaded such that there is no discontinuity in the applied load $q.$ Note that $\frac{dV}{dx}=-q.$