Module 4 : Deflection of Structures
Lecture 1 : Moment Area Method
  Example 4.1 Determine the end slope and deflection of the mid-point C in the beam shown below using moment area method .  
 
   
 

Solution: The M / EI diagram of the beam is shown in Figure 4.2(a). The slope at A , can be obtained by computing the using the second moment area theorem i.e.   

 
 
 
(clockwise direction)
 

The slope at B can be obtained by using the first moment area theorem between points A and B i.e.

 
 
 

 
 
(anti-clockwise)