Module 4 : Deflection of Structures
Lecture 1 : Moment Area Method
 

Example 4.5 Determine the vertical deflection and slope of point C of the rigid-jointed plane frame shown in the Figure 4.6(a).

 
 

Solution: The M/EI and deflected shape of the frame are shown in the Figures 4.6(a) and (b), respectively. As the point A is fixed implying that . Applying first moment area theorem between points A and B ,

 
(looking from the left side)
 
(anti-clockwise direction)
 

Applying second moment area theorem between points B and C

 
 

The vertical displacement of point C

 
 
(downward direction)
 

Applying first moment area theorem between point B and C

 
 
(anti-clockwise direction)