Example 5.11 Analyze the non-prismatic fixed beam shown in Figure 5.14(a) using force method.
Solution: Degree of indeterminacy of the system = 2. We choose shear force and moment at section C as redundant and , respectively.
Total displacement in the direction of
or (i)
Total rotation in the direction of
The reactions at support are given by
The bending moment diagram of the beam is shown in Figure 5.14(d)
and 
, respectively. 
(i) 
(ii) 
