Force Method $(30$ pts$)$

For the structure below, $A$ is a roller and $B$ is fixed. Assume El is constant.

a$.$ Determine the degree of static indeterminacy of the structure

b$.$ Identify a redundant reaction force

c$.$ Draw the primary structure and sketch its deflection under the actual and redundant loads

d$.$ Use the beam deflection and slope tables to calculate the deflections of the primary structure under the actual and redundant loads at the point of application of the redundar load

e$.$ Write a compatibility equation that links the above deflections

f$.$ Solve for the redundant reaction force