The continuous frame ABC has a pin support at A, roller supports at B and C, and a rigid corner connection at B (see figure). Members AB and BC each have flexural rigidity EI. A moment M0 acts...

The continuous frame ABC has a pin support at A, roller supports at B and C, and a rigid corner connection at B (see figure). Members AB and BC each have flexural rigidity EI. A moment M0 acts counterclockwise at B. 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
 at A, B, and C.

(c) Find the required new length of member BC in terms of L, so that

_B
in part (b) is doubled in size.