Energy Principle in Applied Statics |
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a₁ a₂ analysis applied assumed b₁ b₂ b₂ sin cantilever Castigliano's Castigliano's method changes in length Chapter compatibility complementary energy complementary-energy method components of deflection conditions of equilibrium conservation of energy conservative systems considered cos² e₁ e₂ energy methods equation of virtual equations of equilibrium example F₁ flexibility coefficients geometrical Hooke's law law of conservation line of action linear elasticity linear systems load-deflection characteristics loads F non-linear elastic obtained pin-jointed position of equilibrium potential energy potential-energy method principle of virtual R₁ reciprocal theorem redundant member redundant system respectively self-straining shown in fig simultaneous equations sin² small displacement spring statically statically-determinate system stiffness coefficients strain energy strain-energy method structure system of forces system shown T₁ and T₂ tions vertical vertical deflection virtual displacements equal α₁ α₂ ου дег дс