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Deflections using Energy Methods - Purdue University
engineering.purdue.eduCastigliano's Theorems Theorem 1 : For an elastic structure (linear / non -linear) with constant temperature and rigid supports: Castigliano (an Italian railroad engineer) published 2 theorems of Work and Energy that allow us to either calculate unknown forces / reactions in indeterminate structures (1st theorem)
5.3 Castigliano’s theorem on deflection for linear load ...
www2.mae.ufl.edu5.3 Castigliano’s theorem on deflection for linear load-deflection relations • For this case complementary strain energy is equal to strain energy and we get