Module 4 : Deflection of Structures
Lecture 2 : Conjugate Beam Method
  (b) Verification by moment-area method
 
 

Applying second moment area theorem between points A and B will give the slope at A i.e.

 

                                                                                 

 

 
                                                                                      
 

Further, applying moment area theorem between point A and C

 
 
                                                                           
 
(clockwise direction)
 

Since

 
 
 
        
 
 

                (downward direction)