The continuous frame ABCD has a pin support at B; roller supports at A, C, and D; and rigid corner connections at B and C (see figure). Members AB, BC, and CD each have flexural rigidity EI. Moment M...

The continuous frame ABCD has a pin support at B; roller supports at A, C, and D; and rigid corner connections at B and C (see figure). Members AB, BC, and CD each have flexural rigidity EI. Moment M₀
acts counterclockwise at B and clockwise at C. Note: Disregard axial deformations in member AB and consider only the effects of bending.

(a) Find all reactions of the frame.

(b) Find joint rotations u at A, B, C, and D.

(c) Repeat parts (a) and (b) if both moments M₀
are counterclockwise.