Module 5 : Force Method - Introduction and applications
Lecture
1 : Analysis of Statically Indeterminate Beams
Example 5.6 Determine the support reactions of the continuous beam as shown in Figure 5.7(a).
Solution: The static indeterminacy of the beam is = 3-2 =1. Let the vertical reaction at B be the unknown R as shown in Figure 5.7(b). The M/EI diagrams of the beam are shown in Figure 5.7(c).
Because of symmetry of two spans the slope at B , As a result
or
or
The vertical reaction at A and C are
The bending moment diagram of the beam is shown in Figure 5.7(d).