## Elasticity in Engineering MechanicsProvides coverage of both the theory and the applications of elasticity in engineering mechanics. |

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### Contents

Strain | 43 |

Appendix 2A StrainDisplacement Relations in Orthogonal | 77 |

2B2 Strain Tensors | 84 |

Copyright | |

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Accordingly Airy stress function angle array assume axis beam body forces boundary conditions compatibility Consider constant coordinate lines coordinate system cos2 couple stresses cross section curve curvilinear coordinates cylindrical defined denotes differential equations direction cosines displacement components displacement vector dx dy equations of equilibrium equilibrium equations example fluid function F Furthermore Hence index notation integral isotropic line element linear load material matrix method normal stress obtain particle perpendicular plane strain plane stress plate Poisson's ratio polar coordinates principal axes principal strains principal stresses Prob PROBLEM SET rectangular Cartesian coordinates region relative to axes respect rotation Saint-Venant's principle satisfy scalar shearing stress sin2 solution spatial strain components strain energy strain tensor stress tensor stress vector Substitution of Eqs surface symmetric temperature theorem Theory of Elasticity thermoelasticity tion transformation vanish volume element xu x2 yields zero