Module 5 : Force Method - Introduction and applications
Lecture 1 : Analysis of Statically Indeterminate Beams
  Solving equations (i) and (ii)
                                                    
                                                        
 

The bending moment diagram of the beam is shown in Figure 5.5(f)

 
 


(b) Conjugate Beam Method

 

The corresponding conjugate beam (i.e. free-free beam) and loading on it are shown in Figure 5.5(g).

 
                             
  Considering vertical equilibrium of all forces acting on Conjugate beam
                                           
  or                                                                                                                                                                           (iii)
 

Taking moment about A

                                           
  or                                                                                                                                                                        (iv)
 

Solving eqs. (iii) and (iv)

                                           
                                          
 
    
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