This document discusses solving for reactions on a beam with different supports. The beam has 4 boundary conditions, with 2 from a fixed support and 2 from a hinged support. The vertical displacement of the beam is assumed to be a cubic function. The boundary conditions are then substituted into the cubic function equation to solve for the reactions at each support.

1. Problem
For the shown beam, find:
Solution
We have 4 boundary conditions, 2 from fixed support and 2 from hinged one.
Hence, assume the vertical displacement is a cubic function:
Boundary conditions:
Subst. from (2) into (1):
Reactions: