## Elasticity in engineering mechanicsComprehensive, accessible, and LOGICAL-an outstanding treatment of elasticity in engineering mechanics Arthur Boresi and Ken Chong's Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory but also on concrete applications in real engineering situations, this acclaimed work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals. With more than 200 graphs, charts, and tables, this Second Edition includes: * A complete solutions manual for instructors * Clear explorations of such topics as deformation and stress, stress-strain-temperature relations, plane elasticity with respect to rectangular and polar coordinates, thermal stresses, and end loads * Discussions of deformation and stress treated separately for clarity, with emphasis on both their independence and mathematical similarities * An overview of the mathematical preliminaries to all aspects of elasticity, from stress analysis to vector fields, from the divergence theorem to tensor algebra * Real-world examples and problem sets illustrating the most common elasticity solutions-such as equilibrium equations, the Galerkin vector, and Kelvin's problem * A series of appendixes covering advanced topics such as complex variables and couple-stress theory |

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### Contents

Preliminary Concepts | 8 |

Elements of Tensor Algebra | 33 |

THEORY OF DEFORMATION | 62 |

Copyright | |

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Accordingly Airy stress function angle arbitrary array Assume axis beam body forces boundary conditions Chapter compatibility Consider constant coordinate lines coordinate system cos2 cross section curvilinear coordinates cylindrical defined deformation denotes direction cosines displacement components displacement vector dx dy dy dz elastic coefficients equations of equilibrium equilibrium equations example Figure fluid function F given Hence integral isotropic line element linear load material matrix medium method normal stress obtain particle perpendicular plane strain plane stress plate Poisson's ratio polar coordinates principal axes principal strains principal stresses Problem Set radial rectangular Cartesian coordinates region relative to axes respect rotation Saint-Venant's principle satisfy scalar shearing stress sin2 solution strain components strain energy strain energy density strain tensor stress tensor stress vector stress-strain relations Substitution of Eqs surface symmetric theorem theory of elasticity transformation values volume element yields zero