
Case 2 is a cantilever beam with a uniformly distributed load w0. From beam tables, the beam slope at C is given by:
The beam deflection at C is given by:
The fixed support introduced at B implies that the beam slope is zero. The moment at B due to the distributed load on overhang BC will actually cause the beam to rotate at B. We must determine this slope by applying the internal moment at B to the simply supported span AB.