Example 4.22 Verify Maxwell-Betti law of reciprocal displacement for the cantilever beam shown in Figure 4.34(a).
Solution: Apply the forces and in the directions 1 and 2, respectively. The total strain energy stored is calculated below.
Consider any point X at a distance x from B .
and 
in the directions 1 and 2, respectively. The total strain energy stored is calculated below. 
, the Maxwekk-Betti law of reciprical displacement is proved. 
