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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
J P Ward |

ISBN: | 9789401580267 940158026X |

OCLC Number: | 851370724 |

Description: | 1 online resource (x, 284 pages). |

Contents: | 1 Vectors -- 1.1 Introduction to vector algebra -- 1.2 The scalar product -- 1.3 The vector product -- 1.4 Applications of vectors to forces -- 1.5 Triple products -- 1.6 The index notation for vectors -- 1.7 Vector differential calculus -- 1.8 Vector integral calculus -- 2 Cartesian Tensors -- 2.1 Introduction -- 2.2 Rotation of Cartesian coordinates -- 2.3 Cartesian tensors -- 2.4 Properties of tensors -- 2.5 The rotation tensor -- 2.6 Isotropic tensors -- 2.7 Second order symmetric tensors -- 3 The Analysis of Stress -- 3.1 Introduction -- 3.2 The stress tensor -- 3.3 Principal axes -- 3.4 Maximum normal and shear stresses -- 3.5 Plane stress -- 3.6 Photoelastic measurement of principal stresses -- 4 The Analysis of Strain -- 4.1 The strain tensor -- 4.2 Physical interpretation of the strain tensor -- 4.3 Principal axes, principal strains -- 4.4 Principal strains and the strain rosette -- 4.5 The compatibility equations for strain -- 5 Linear Elasticity -- 5.1 Hooke's law and the simple tension experiment -- 5.2 The governing equations of linear eleasticity -- 5.3 Simple solutions -- 5.4 The Navier equation in linear elasticity -- 6 Energy -- 6.1 Strain energy and work -- 6.2 Kirchoff's uniqueness theorem -- 6.3 The reciprocal theorem -- 6.4 The Castigliano theorem -- 6.5 Potential energy -- 7 The General Torsion Problem -- 7.1 Introduction -- 7.2 The torsion function -- 7.3 Shearing stress in the torsion problem -- 7.4 Simple exact solutions in the torsion problem -- 7.5 Approximate formulae in the torsion problem -- 8 The Matrix Analysis of Structures -- 8.1 Introduction -- 8.2 Pin-jointed elements -- 8.3 Two and three dimensional pin-jointed structures -- 8.4 Beam elements -- 8.5 Equivalent nodal forces -- 9 Two Dimensional Elastostatics -- 9.1 Plane strain, plane stress and generalised plane stress -- 9.2 Exact solutions to problems in plane strain -- 9.3 Approximations in two dimensional elastostatics -- Appendix 1 The Variational Calculus -- A1.1 The fundamental lemma -- A1.2 Functionals and the variational calculus -- A1.3 Construction of functionals -- A1.4 One dimensional fourth-order problems -- A1.5 Variational formulation of fourth-order problems -- References. |

Series Title: | Solid mechanics and its applications, 15. |

Responsibility: | by J.P. Ward. |

### Abstract:

This book is intended as an introductory text on Solid Mechanics suitable for engineers, scientists and applied mathematicians.
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