Module 4 : Deflection of Structures
Lecture 6 : Maxwell-Betti Law of Reciprocal Deflections
 

Example 4.23 Verify Maxwell-Betti law of reciprocal displacement for the rigid-jointed plane frame with reference to marked direction as shown in Figure 4.35(a). EI is same for both members.

 
 

Solution: Apply the forces and in the directions 1 and 2, respectively as shown in Figure 4.35(b).

 
                                                            
 

Consider AB : ( x measured from A )