Problem $5\mathrm{.}1$:

For the beam and loading shown below, determine the internal shear force and bending moment at the middle of the beam $($a distance $\frac{L}{2}$ from either support$)$ if:

a$)a$ is less than $\frac{L}{2}.$ This means the load point is to the left of the middle of the beam.

b$)a$ is greater than $\frac{L}{2}.$ This means the load point is to the right of the middle of the beam.