Mechanics of Structures : Variational and Computational Methods book cover
2nd Edition

Mechanics of Structures
Variational and Computational Methods





ISBN 9780367454609
Published December 2, 2019 by CRC Press
912 Pages 402 B/W Illustrations

USD $69.95

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Book Description

Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation.

The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive integral forms of the governing equations. Discussions then move to computational methods, including the finite element method, and these are developed to solve the differential and integral equations.

New in the second edition:

  • A one-dimensional introduction to the finite element method, complete with illustrations of numerical mesh refinement
  • Expansion of the use of Galerkin's method.
  • Discussion of recent developments in the theory of bending and torsion of thin-walled beams.
  • An appendix summarizing the fundamental equations in differential and variational form
  • Completely new treatment of stability, including detailed examples
  • Discussion of the principal values of geometric properties and stresses
  • Additional exercises

    As a textbook or as a reference, Mechanics of Structures builds a unified, variational foundation for structure mechanics, which in turn forms the basis for the computational solid mechanics so essential to modern engineering.
  • Table of Contents

    FORMULATIONS FOR LINEAR PROBLEMS OF ELASTICITY
    Basic Equations: Differential Form
    Principles of Virtual Work: Integral Form of the Basic Equations
    Related Variational and Energy Principles
    SOLUTION METHODS
    Structural Analysis Methods I: Beam Elements
    Structural Analysis Methods II: Structural Systems
    The Finite Element Method
    Direct Variational and Weighted Residual Methods: Classical Trial Function Methods
    The Finite Difference Method
    The Boundary Element Method
    FORMULATIONS FOR DYNAMIC AND STABILITY PROBLEMS
    Dynamic Responses
    Stability Analysis
    BARS AND PLATES
    Beams
    Plates
    APPENDICES

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    Author(s)

    Biography

    Wunderlich\, Walter; Pilkey\, Walter D.

    Reviews

    "[This book] represents clear progress in this recent custom of popularizing structural mechanics … . The book includes several important and deep topics that are often neglected in other works of the same kind. It shows a great effort towards completeness. It collects all classical variational principles of continuum mechanics … . … [T]he merit of the book resides in its colossal attempt to recombine three branches of the theory of elasticity (foundations, structures, numerical methods), which tend to diverge."
    - Meccanica, Vol. 39, 2004