# Elastic beams and frames / John D. Renton

- Author:
- Renton, J. D. (John Delgaty), 1935-
- Published:
- Cambridge : Woodhead Publishing, cop. 2002.
- Edition:
- 2nd ed.
- Physical Description:
- 1 online resource : illustrations

##### Access Online

- Series:
- Contents:
- 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., 4.1 Introduction4.2 The Differential Equrtions o f Flexure; 4.3 Non-Prismatic Beams and Other Exceptional Cases; 4.4 Moment-Area Methods; 4.5 The Slope-Deflexion Equations; 4.6 Strain Energy of Bending and Axial Loading; {4.7 Anisotropic Beams Subject to Axial Stresses}; Chapter 5. Torsion of Beams; 5.1 Introduction; 5.2 Isotropic Beams with Circular Sections; 5.3 Thin Tubes and the Approximate Analysis of Non-Circular Sections; 5.4 Saint-Venant Torsion; 5.5 The Membrane Analogy; 5.6 Strain Energy of Torsion; 5.7 Non-Prismatic Bars and Other Exceptional Cases., {5.8 Anisotropic Beams in Torsion}{5.9 Non-Uniform Torsion of Thin-Walled Open Sections}; Chapter 6. Shear of Beams; 6.1 Introduction; 6.2 The Engineering Theory of Shear of Thin-Walled Sections; 6.3 Shear Strain Energy and the Shear Stiffness of Thin-WalIed Sections; {6.4 A Closer Examination of Deflexion and Support Conditions}; {6.5 The Exact Analysis o f Flexural Shear}; {6.6 Non-Prismatic and Inhomogeneous Beams}; {6.7 Anisotropic Beams}; Chapter 7. Energy Methods; 7.1 Introduction; {7.2 The Principle of Minimum Potential Energy}; {7.3 The Principle of Minimum Complementary Energy}, and 7.4 Prescribed Resultants, Corresponding Dellexions and Work7.5 Castigliano's Strain Energy Theorem; 7.6 Castigliano's and Crotti's Complementary Energy Theorems; 7.7 The Rryleigh-Ritz Method; 7.8 The Calculus of Variations; Chapter 8. The General Theory of Beams; 8.1 Introduction; {8.2 The Constant Response; 8.3 The Linear Response; 8.4 The Deformation Matrix; 8.5 The Slope-Deflexion Equations for Modular Beams; 8.6 The Characteristic Response of Circular Beams; Chapter 9. The Stability of Beams; 9.1 Introduction; 9.2 The Classical Problems of Flexural Stability.
- Summary:
- 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 of beam shear. Special topics discussed include non-uniform torsion, the exact analysis of shear, anisotropy, advanced energy methods, optimum structures, and regular frames. Software provided in the book includes seven general purpose programs for analysis of plane, space frames with rigid or pinned joints, and uses the augmented Gaussian elimination process and dynamic storage techniques. Approaches the basic theory of elastic beams and frames from a different perspective from standard pedagogyProvides an introduction to more advanced ideas on the theory of structures and contains much additional materialIncludes consideration of work and energy concepts as fundamental and the equations of statistics derived from them.
- Subject(s):
- Genre(s):
- ISBN:
- 9780857099624 (electronic bk.)

0857099620 (electronic bk.)

1898563861

9781898563860 - Bibliography Note:
- Includes bibliographical references and index.

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