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Introduction to the Mechanics of Deformable Solids

Bars and Beams

  • Textbook
  • © 2013

Overview

Authors:
  1. David H. Allen

    1. , College of Engineering, University of Texas-Pan American, Edinburg, USA

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  • Features a highly visual pedagogy that emphasizes how visual representation of models leads to mathematical models

  • Pays careful attention to the history of mechanics and includes a historical chapter

  • Includes a separate chapter on structural design

  • Maintains congruity of notation and approach to all mechanics models

  • Features 200 illustrations

  • Includes supplementary material: sn.pub/extras

  • Request lecturer material: sn.pub/lecturer-material

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. A Short History of Mechanics

    • David H. Allen
    Pages 1-28

  3. Mechanics of Materials

    • David H. Allen
    Pages 29-57

  4. Theory of Uniaxial Bars

    • David H. Allen
    Pages 59-79

  5. Theory of Cylindrical Bars Subjected to Torsion

    • David H. Allen
    Pages 81-103

  6. Theory of Beams

    • David H. Allen
    Pages 105-147

  7. Stress and Failure Analysis

    • David H. Allen
    Pages 149-179

  8. Introduction to Structural Design

    • David H. Allen
    Pages 181-211

  9. Back Matter

    Pages 213-219
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Keywords

About this book

Introduction to the Mechanics of Deformable Solids: Bars and Beams introduces the theory of beams and bars, including axial, torsion, and bending loading and analysis of bars that are subjected to combined loadings, including resulting complex stress states using Mohr’s circle. The book  provides failure analysis based on maximum stress criteria and introduces design using models developed in the text. Throughout the book, the author emphasizes fundamentals, including consistent mathematical notation. 

The author also presents the fundamentals of the mechanics of solids in such a way that the beginning student is able to progress directly to a follow-up course that utilizes two- and three-dimensional finite element codes imbedded within modern software packages for structural design purposes. As such, excessive details included in the previous generation of textbooks on the subject are obviated due to their obsolescence with the availability of today’s finite element software packages.

Authors and Affiliations

  • , College of Engineering, University of Texas-Pan American, Edinburg, USA

    David H. Allen

About the author

Dr. David Allen is Dean of the College of Engineering and Computer Science, University of Texas-Pan American and formerly, 2002-2010, Dean of the College of Engineering, University of Nebraska.

Bibliographic Information

  • Book Title: Introduction to the Mechanics of Deformable Solids

  • Book Subtitle: Bars and Beams

  • Authors: David H. Allen

  • DOI: https://doi.org/10.1007/978-1-4614-4003-1

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2013

  • Hardcover ISBN: 978-1-4614-4002-4Published: 09 August 2012

  • Softcover ISBN: 978-1-4939-0083-1Published: 19 September 2014

  • eBook ISBN: 978-1-4614-4003-1Published: 09 August 2012

  • Edition Number: 1

  • Number of Pages: XX, 220

  • Topics: Solid Mechanics, Theoretical and Applied Mechanics, Solid Mechanics

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