Module 4 : Deflection of Structures
Lecture 6 : Maxwell-Betti Law of Reciprocal Deflections
 

Consider BC : ( x measured from B )

 
 
 
                                                           
 
 
                                  
 
 
                                   
 
 

Thus

 
 
 
                                                                   
 
                                                                   
 

The displacement in the direction 1 due to unit load applied in 2 is

 
   
 
 
        
    
 

The displacement in the direction 2 due to unit load applied in 1 is

 
   
 
 
        
    
 

Since , proves the Maxwell-Betti law of reciprocal displacements.

   
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