Betti reciprocal theorem

Betti reciprocal theorem

[′bāt·tē ri′sip·rə·kəl ‚thir·əm]
(mechanics)
A theorem in the mathematical theory of elasticity which states that if an elastic body is subjected to two systems of surface and body forces, then the work that would be done by the first system acting through the displacements resulting from the second system equals the work that would be done by the second system acting through the displacements resulting from the first system.