The beam shown below is fixed at $A,$ and supports a uniform distriubted load $D=541l\frac{b}{f}t,$ and a concentrated force $F=3064lb$ as shown.

The beam has a weight $W=2548lb$ which acts at its midpoint. The geometric parameters are: $=50\mathrm{.}5,a=18\mathrm{.}2ft,b=6\mathrm{.}4ft,$ and $c=1\mathrm{.}29ft.$

Using the axis system shown, draw a complete free body diagram, write the equations of equilibrium needed for you to solve for the unknown reactions.

Solve the equilibrium equations for the unknow reactions. Write the results in the box below. Be sure to include the correct sign of each reaction along with its units.