Classical beam theories of structural mechanics / Andreas Öchsner.
Öchsner, Andreas, author.
2021
QA808 .O34 2021
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Title Classical beam theories of structural mechanics / Andreas Öchsner.
Author Öchsner, Andreas, author.
ISBN 9783030760359 (electronic bk.)
3030760359 (electronic bk.)
9783030760342
3030760340
DOI https://doi.org/10.1007/978-3-030-76035-9
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource (193 pages) : illustrations (some color)
Other Standard Identifiers 10.1007/978-3-030-76035-9 doi
Call Number QA808 .O34 2021
Dewey Decimal Classification 531
Summary This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shear-rigid) according to Euler-Bernoulli, and the theories for thick beams (shear-flexible) according to Timoshenko and Levinson. The understanding of basic, i.e., one-dimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for one-dimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higher-order structural members. The new approach in this textbook is that it treats single-plane bending in the x-y plane as well in the x-z plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these one-dimensional members allows a simpler understanding of thin and thick plate bending members. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Available in Other Form Classical Beam Theories of Structural Mechanics
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Introduction to Continuum Mechanical Modeling
Euler-Bernoulli Beam Theory
Timoshenko Beam Theory
Higher-Order Beam Theories
Comparison of the Approaches
Outlook: Finite Element Approach
Appendix.

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