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This is a first year graduate textbook in Linear Elasticity. It has been written with the practical engineering reader in mind, with minimal previous knowledge of solid mechanics, continuum mechanics or mathematics required. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. Now in its third edition, detailed improvements occur throughout the work, some suggested by users of earlier editions. The range of topics treated has been expanded to include, for example, complex variable methods, variational methods and three-dimensional plate and beam solutions. The work contains chapters on antiplane stress systems, Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordinate systems, including axisymmetric torsion of bars of non-uniform circular cross-section. Also, there are now over 300 end-of-chapter problems, which are expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to 'verify' that a given candidate stress function is appropriate to the problem. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as Maple® and Mathematica® . Electronic files and hints on this method of solution, as well as further supplementary software are available for download via the webpage for this volume on www.springer.com. Expansion of topics to include more on complex variable methods, variational methods and three-dimensional plate and beam solutions Additional end-of-chapter problems Detailed improvements elsewhere, some suggested by users of the earlier editions Modern treatment of the subject Clarity of presentation Supplementary electronic files in Mathematica and Maple available for download

Índice: Part I GENERAL CONSIDERATIONS ; 1 Introduction; 1.1 Notation for stress and displacement ; 1.1.1 Stress; 1.1.2 Index and vector notation and the summationconvention; 1.1.3 Vector operators in index notation; 1.1.4 Vectors, tensors and transformation rules; 1.1.5 Principal stresses and Von Mises stress ; ; 1.1.6 Displacement; ; 1.2 Strains and their relation to displacements; ; 1.2.1 Tensile strain; ; 1.2.2 Rotation and shear strain; ; 1.2.3 Transformation of co