Additional Problem $7$:

Evaluate the moments at the two supports $($fixed supports A and B at rigid walls$)$ for the loaded beam below. EI is constant for the beam.

Note: You might want to replace the left$-$hand support with two unknown reactions at that location $($the horizontal reaction is not of importance$).$ Using superposition, you will then need to write equation$($s$)$ that are true regarding the slope and deflection at the location where you replaced the support with the unknown reactions.

Answers: $M_A=10\mathrm{.}2$kip$-ft,M_B=22\mathrm{.}4$kip$-ft$