Mechanics of Structures: Variational and Computational Methods, 2nd Edition (Hardback) book cover

Mechanics of Structures

Variational and Computational Methods, 2nd Edition

By Walter Wunderlich, Walter D. Pilkey

CRC Press

912 pages | 402 B/W Illus.

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pub: 2002-12-26
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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.

  • 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

    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

    About the Authors

    Wunderlich\, Walter; Pilkey\, Walter D.

    Subject Categories

    BISAC Subject Codes/Headings:
    MAT003000
    MATHEMATICS / Applied
    SCI041000
    SCIENCE / Mechanics / General
    TEC009020
    TECHNOLOGY & ENGINEERING / Civil / General
    TEC009070
    TECHNOLOGY & ENGINEERING / Mechanical