Numerical Problem $(25$ points$)$:

For the beam shown below, please answer the following:

$(15$ points$)$ Draw the SFD$/$BMD for the beam on an engineering paper. Please make sure you provide numerical values of shear force and bending moment at locations where the loading changes $(0,4,6,9ft).$

$(5$ points$)$ What is the location and magnitude of the maximum positive bending moment anywhere along

the beam?

$(5$ points$)$ Based on the SFD$/$BMD$,$ calculate the ratio of shear force and bending moment between a point

at $2ft$ from A and a point at $7\mathrm{.}5ft$ from $A.$

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.