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Classical beam theories of structura...

Ochsner, Andreas.

Classical beam theories of structural mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Classical beam theories of structural mechanicsby Andreas Ochsner.
作者:	Ochsner, Andreas.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xiii, 186 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Mechanics.
電子資源:	https://doi.org/10.1007/978-3-030-76035-9
ISBN:	9783030760359$q(electronic bk.)

Classical beam theories of structural mechanics
Ochsner, Andreas.

Classical beam theories of structural mechanics[electronic resource] /by Andreas Ochsner. - Cham :Springer International Publishing :2021. - xiii, 186 p. :ill. (some col.), digital ;24 cm.

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.

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.

ISBN: 9783030760359$q(electronic bk.)

Standard No.: 10.1007/978-3-030-76035-9doiSubjects--Topical Terms:

200022
Mechanics.

LC Class. No.: QA808 / .O34 2021

Dewey Class. No.: 531

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505 0 $a 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.
520 $a 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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