Elasticity: Academic/Professional/Technical: Undergraduate (Solid Mechanics And Its Applications)

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.

Table Of Contents:

Preface to the Second EditionPreface to the First EditionIGeneral Considerations11Introduction32Equilibrium and Compatibility23IITwo-Dimensional Problems313Plane Strain and Plane Stress334Stress Function Formulation415Problems in Rectangular Coordinates496End Effects717Body Forces798Problems in Polar Coordinates979Calculation of Displacements11110Curved Beam Problems12311Wedge Problems13712Plane Contact Problems15713Forces, Dislocations and Cracks18514Thermoelasticity20115Antiplane Shear209IIIEnd Loading of the Prismatic Bar21916Torsion of a Prismatic Bar22317Shear of a Prismatic Bar239IVThree Dimensional Problems24918Displacement Function Solutions25119The Boussinesq Potentials26320Thermoelastic Displacement Potentials27921Singular Solutions29122Spherical Harmonics30123Cylinders and Circular Plates31324Problems in Spherical Coordinates32725Axisymmetric Torsion34126Frictionless Contact35127The Boundary-Value Problem35928The Penny-Shaped Crack37329The Interface Crack38130The Reciprocal Theorem393AUsing Maple and Mathematica405Index407