Module 4 : Deflection of Structures
Lecture 1 : Moment Are Method
  Example 4.3 Determine the end-slopes and deflection at the center of a non-prismatic simply supported beam. The beam is subjected to a concentrated load at the center.
 

Solution: The M/EI diagram of the beam is shown in Figure 4.4(b).

 
 

Applying second moment-area theorem between points A and B ,

 
 
 
             (clockwise direction)
 

Applying first moment area theorem between A and C .

 
 
(anti-clockwise direction)
  Applying second moment area theorem between A and C .
 
 
 
(downward direction)