The beam shown below is a simple span with an overhang. The beam supports a uniform

distributed load.

$16$ ft $4$ ft

A B

$0\mathrm{.}6$ kip$/$ft

$1.$ Draw a free body diagram $($FBD$)$ of the beam and write the equations of equilibrium

to solve for the support reactions.

You do not have to include the horizontal reaction at A$.$

Answer: RA$=4\mathrm{.}5$ kip $,$ RB$=7\mathrm{.}5$ kip $$

$2.$ Draw an FBD of the beam showing the loads and the known magnitude and direction

of the support reactions.

$3.$ Draw the shear diagram for the beam.

$4.$ Draw the bending moment diagram for the beam.

$5.$ At what location along the beam does the maximum positive bending moment occur?

$6.$ At what location along the beam does the maximum negative bending moment occur?