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).