Numerical Problem $(15$ points$)$: A simple problem to practice the integration method. For the beam shown below,

please draw the SFD$/$BMD using the integration method on an engineering paper. Please make sure you provide

numerical values of shear force and bending moment at locations where the loading changes $(0,1\mathrm{.}5,3ft)$ and where

the shear force and bending moment has the maximum positive and negative magnitudes.

Remember due to positive bending moment sign convention for BMD the bending moment at fixed end will be negative.

This convention is independent of the equilibrium convention that you draw at the start of every problem in this class.