Module 4 : Deflection of Structures
Lecture 2 : Conjugate Beam Method
 

Example 4.8 Determine the deflection at the free end of the beam shown in Figure 4.10 using conjugate beam method and verify by moment area method.

 
  Solution:
 

(a) Conjugate beam method

The corresponding conjugate beam and loading are shown in Figure 4.10(b). The loading is upward linearly distributed load with maximum value of at B .

Taking moment about point B, the vertical reaction at A in the conjugate beam is given by
 
 
 

The bending moment at C (by taking moment about C ) is given by

 
 
(sagging type)
 

Hence, the deflection of point C will be equal to in the downward direction.

   
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