Fig. P$7\mathrm{.}86$

$7\mathrm{.}87$ and $7\mathrm{.}88$ For the beam and loading shown, $($a$)$ write the equations of the shear and bending$-$moment curves, $($b$)$

determine the magnitude and location of the maximum bending moment.

Draw Bending Moment and Shear force Diagram

Hint: you need to find the centroid of the load first to find the reactions using

chapter $6$

Then use direct integration method from chapter $4$ to find bending moment and

shear force equation