Statically Indeterminant Deflection in Beams

Problem $1$:

Setup: The beam is used to support the $20-$kip load. Assume $A$ is fixed and $B$ is a roller.

Find: Determine the reactions at the supports. ${?}^1$

Steps:

What are the reactions? How many unknowns?

Draw the FBD

Draw a cantilever beam with replacing $B$ with a force at $B.$

What is the deflection at B $?$

What is the deflection at $B$ due to the $20$ kip load?

Can you combine questions $4$ and $5$ to get the reaction at B $?$

Solve for the reaction and use the FBD to determine the reactions at A$.$