Overview
Provides a systematic and thorough overview of the classical bending members
Eases the mathematical complexity by applying the theoretical concepts to one-dimensional members
Offers a new approach and treats single-plane bending in the x-y plane as well in the x-z plane equivalently
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Table of contents (7 chapters)
Keywords
About this book
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.
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Bibliographic Information
Book Title: Classical Beam Theories of Structural Mechanics
Authors: Andreas Öchsner
DOI: https://doi.org/10.1007/978-3-030-76035-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-76034-2Published: 14 June 2021
Softcover ISBN: 978-3-030-76037-3Published: 15 June 2022
eBook ISBN: 978-3-030-76035-9Published: 13 June 2021
Edition Number: 1
Number of Pages: XIII, 186
Number of Illustrations: 90 b/w illustrations, 70 illustrations in colour
Topics: Classical and Continuum Physics, Analysis, Solid Mechanics