A statically indeterminate frame shown below is composed of two steel members of the

same cross$-$section $($El is a constant$)$ that are rigidly connected at B $.$ The structure is pin$-$

supported at $C$ and fixed at $A,$ and is subjected to a uniformly distributed load on $BC$ and

a linear distributed load on $AB.$

$($a$)$ Use the formula method to determine the degree of static indeterminacy.

$($b$)$ Use the slope$-$deflection method to determine the bending moments at A and B $.$ Then

go on to determine the bending moments at the mid$-$span point of BC$.$

$($c$)$ Draw the shear force diagram and the bending moment diagram for this structure $($the

bending moment diagram should be drawn on the tension side of each member$).$