$(10$ pts$)$

$4.$ Construct the M and the $\frac{M}{E}$I diagrams for the beam with loading and shear diagram shown. Construct these diagrams on the axis line provided for each below the shear curve.

Note that $E$ is constant; however, the moment of inertia, I, of the beam is not constant and is delineated in the diagram $($the moment of inertia in the middle third of the beam is twice what it is on the end thirds.$)$

$M,k-ft$

$\frac{M}{EI},\frac{k-fc}{EI}$