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 actual alternative analysis applied approximate arbitrary assumed b₁ b₂ beam bending calculation cause changes in length Chapter characteristics compatibility complementary energy components concept conditions of equilibrium conservation of energy considered constant deflections derived direction e₁ e₂ effect elastic system equal equations of equilibrium example expressed fact final finding flexibility coefficients follows forces function geometrical given gives identical independent joints kind line of action linear elasticity linear systems load mass means method necessary non-linear noted obtained position possible potential energy potential-energy principle of virtual problem procedure properties quantities reciprocal redundant member reference represent respectively result self-straining shown in fig simple solution specified spring statically-determinate system strain energy structure Substitution supports T₁ T₂ theorem tions unit values variation vertical virtual displacements α₁ α₂