Elastic beams and frames

The book approaches the basic theory of structures from a different perspective from standard pedagogy. There is consideration of work and energy concepts as fundamental and the equations of statics derived from them. Likewise, these concepts, together with that of the characteristic response, are used in the derivation of beam theory. Plane sections remaining plane is then seen as a particular result for isotropic, homogeneous, prismatic beams. The general theory may still be used where none of these conditions holds, and can even be applied to trusses. It also corrects errors in the theory o.

Front Cover; Elastic Beams and Frames; Copyright Page; Table of Contents; Preface; Acknowledgments; References and Suggested Reading; Chapter 1. Introduction; 1.1 Loads, Deflexions, Joints and Supports; 1.2 Small Deflexion Theory; 1.3 Energy, Equilibrium and Stability; {1.4 Linear Response}; {1.5 Symmetry and Antisymmetry}; Chapter 2. Statics; 2.1 Work, Energy and Static Equilibrium; 2.2 Motion of a Rigid Body, Resultants and Equilibrium; 2.3 Distributed Mass and Load, Force Fields; 2.4 Particular Cases of Equilibrium; 2.5 Method of Sections; 2.6 Joint Resolution; 2.7 Tension Coefficients.

2.8 Static Analysis of Beams2.9 Static Determinacy; 2.10 Displacement Diagrams; {2.11 Full Determinacy Analysis}; Chapter 3. Elasticity; 3.1 Stress and Equilibrium; 3.2 Strain and Compatibility; 3.3 Linear Elastic Behaviour of Isotropic Materials; 3.4 Strain Energy of a Body; 3.5 Strain energy density; 3.6 Saint-Venant's Principle; 3.7 Stress Transformation and Principal Stresses; 3.8 Mohr's Circle for Strain; 3.9 Failure Criteria for Ductile Materials; 3.10 Cylindrical Polar Coordinates; {3.11 Anisotropic Elasticity}; {3.12 Stress and Strain Tensors}; Chapter 4. Beams with Axial Stresses.

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