Module 4 : Deflection of Structures
Lecture 3 : Principle of Virtual Work
 

Example 4.9 Find the horizontal and vertical deflection at joint C of the pin-jointed frame shown in Figure 4.14. AE is constant for all members.

 
   
 
  Solution: Calculate forces i.e. force in various members of the truss due to the applied loading. These can be obtained by considering the equilibrium of various joints as marked in Figure 4.14(b).
 

  

 
 
 
 

Table 4.2

 
Member
Length
For
For
L
L
AB
L
-P
0
0
0
0
BC
L
0
0
0
0
0
CD
L
-P
-1
PL
-1
PL
DA
L
0
0
0
0
0
AC
0
0
 
   
 

The computation of for two desired displacements of pin-jointed frame are shown in Table 4.2.

  Horizontal displacement of joint C ,
 

Vertical displacement of joint C ,