Energy Principles in Theory of Structures |
Contents
Introduction | 1 |
Further Examples of the Use of the StrainEnergy | 29 |
The Principle of Virtual Work | 38 |
Copyright | |
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a₁ a₂ analysis applied assumed b₁ b₂ b₂ sin beam bending bending moment Castigliano's changes in length Chapter compatibility complementary energy complementary-energy method conditions of equilibrium conservation of energy considered cos² de₁ derived due to unit e₁ elastic supports energy methods energy principles equation of virtual equations of equilibrium example expressed flexibility coefficients geometrical gross distortion Hooke's law law of conservation line of action linear elasticity linear systems load F load-deflection characteristics non-linear elastic obtained pin-jointed position of equilibrium potential energy potential-energy method principle of virtual quantities R₁ reciprocal theorem redundant member redundant system respectively self-straining shown in fig simultaneous equations sin² small displacement spring statically-determinate system stiffness coefficients strain energy strain-energy method system of forces T₁ and T₂ vertical vertical deflection α₁ α₂