Textbook Problem

The continuous frame ABC has a pin support at /l, 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 M₀acts counterclockwise at B, Note: Disregard axial deformations in member AB and consider only the effects of bending.

1. Find all reactions of the frame.

Find joint rotations B at A, B, and C.

Find the required new length of member BC in terms of L., so that ${\theta }_B$

in part (b) is doubled in size.