Classical Beam Theories Of Structural Mechanics

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Classical Beam Theories of Structural Mechanics

Author : Andreas Öchsner
Publisher : Springer Nature
ISBN 13 : 3030760359
Total Pages : 193 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Classical Beam Theories of Structural Mechanics by : Andreas Öchsner

Download or read book Classical Beam Theories of Structural Mechanics written by Andreas Öchsner and published by Springer Nature. This book was released on 2021-06-13 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Beam Structures

Author : Erasmo Carrera
Publisher : John Wiley & Sons
ISBN 13 : 1119951046
Total Pages : 171 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Beam Structures by : Erasmo Carrera

Download or read book Beam Structures written by Erasmo Carrera and published by John Wiley & Sons. This book was released on 2011-07-28 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beam theories are exploited worldwide to analyze civil, mechanical, automotive, and aerospace structures. Many beam approaches have been proposed during the last centuries by eminent scientists such as Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. Most of these models are problem dependent: they provide reliable results for a given problem, for instance a given section and cannot be applied to a different one. Beam Structures: Classical and Advanced Theories proposes a new original unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century. The Carrera Unified Formulation (CUF) has hierarchical properties, that is, the error can be reduced by increasing the number of the unknown variables. This formulation is extremely suitable for computer implementations and can deal with most typical engineering challenges. It overcomes the problem of classical formulae that require different formulas for tension, bending, shear and torsion; it can be applied to any beam geometries and loading conditions, reaching a high level of accuracy with low computational cost, and can tackle problems that in most cases are solved by employing plate/shell and 3D formulations. Key features: compares classical and modern approaches to beam theory, including classical well-known results related to Euler-Bernoulli and Timoshenko beam theories pays particular attention to typical applications related to bridge structures, aircraft wings, helicopters and propeller blades provides a number of numerical examples including typical Aerospace and Civil Engineering problems proposes many benchmark assessments to help the reader implement the CUF if they wish to do so accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given in the book as well as to solve other problems of their own www.mul2.com Researchers of continuum mechanics of solids and structures and structural analysts in industry will find this book extremely insightful. It will also be of great interest to graduate and postgraduate students of mechanical, civil and aerospace engineering.

Classical Beam Theories of Structural Mechanics

Author : Andreas Öchsner
Publisher :
ISBN 13 : 9783030760366
Total Pages : 0 pages
Book Rating : 4.7/5 (63 download)

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Book Synopsis Classical Beam Theories of Structural Mechanics by : Andreas Öchsner

Download or read book Classical Beam Theories of Structural Mechanics written by Andreas Öchsner and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Refined Dynamical Theories of Beams, Plates, Shells, and Their Applications

Author : Isaac Elishakoff
Publisher : Springer
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Refined Dynamical Theories of Beams, Plates, Shells, and Their Applications by : Isaac Elishakoff

Download or read book Refined Dynamical Theories of Beams, Plates, Shells, and Their Applications written by Isaac Elishakoff and published by Springer. This book was released on 1987 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics and Analysis of Beams, Columns and Cables

Author : S. Krenk
Publisher : Springer Science & Business Media
ISBN 13 : 9783540417132
Total Pages : 268 pages
Book Rating : 4.4/5 (171 download)

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Book Synopsis Mechanics and Analysis of Beams, Columns and Cables by : S. Krenk

Download or read book Mechanics and Analysis of Beams, Columns and Cables written by S. Krenk and published by Springer Science & Business Media. This book was released on 2001-05-08 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book illustrates the use of simple maths-based analytic techniques in basic structural mechanics. It focuses on the identification of the physical background of the theories and their particular mathematical properties. And on the demonstration of mathematical techniques for analysis of simple problems in structural mechanics. The author also looks at the derivation of the solutions to a number of basic problems of structural mechanics in a form suitable for later reference. The presentation concentrates on the main principles and the characteristics of the solutions. The theory also serves as a basis for the formulation of numerical models and for intelligent interpretation of their results.

Theories and Analyses of Beams and Axisymmetric Circular Plates

Author : J N Reddy
Publisher : CRC Press
ISBN 13 : 1000598403
Total Pages : 578 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Theories and Analyses of Beams and Axisymmetric Circular Plates by : J N Reddy

Download or read book Theories and Analyses of Beams and Axisymmetric Circular Plates written by J N Reddy and published by CRC Press. This book was released on 2022-06-30 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method. Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates. Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics.

An Introduction to the History of Structural Mechanics

Author : Edoardo Benvenuto
Publisher : Springer Science & Business Media
ISBN 13 : 1461229944
Total Pages : 265 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to the History of Structural Mechanics by : Edoardo Benvenuto

Download or read book An Introduction to the History of Structural Mechanics written by Edoardo Benvenuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the finest I have ever read. To write a foreword for· it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.

Shear Deformable Beams and Plates

Author : C.M. Wang
Publisher : Elsevier
ISBN 13 : 0080541151
Total Pages : 311 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Shear Deformable Beams and Plates by : C.M. Wang

Download or read book Shear Deformable Beams and Plates written by C.M. Wang and published by Elsevier. This book was released on 2000-07-19 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the classical theory. Equations governing shear deformation theories are typically more complicated than those of the classical theory. Hence it is desirable to have exact relationships between solutions of the classical theory and shear deformation theories so that whenever classical theory solutions are available, the corresponding solutions of shear deformation theories can be readily obtained. Such relationships not only furnish benchmark solutions of shear deformation theories but also provide insight into the significance of shear deformation on the response. The relationships for beams and plates have been developed by many authors over the last several years. The goal of this monograph is to bring together these relationships for beams and plates in a single volume. The book is divided into two parts. Following the introduction, Part 1 consists of Chapters 2 to 5 dealing with beams, and Part 2 consists of Chapters 6 to 13 covering plates. Problems are included at the end of each chapter to use, extend, and develop new relationships.

Structural Mechanics

Author : Richard Marion Parkinson
Publisher :
ISBN 13 : 9781296112929
Total Pages : 110 pages
Book Rating : 4.1/5 (129 download)

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Book Synopsis Structural Mechanics by : Richard Marion Parkinson

Download or read book Structural Mechanics written by Richard Marion Parkinson and published by . This book was released on 2015-02-17 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Structural Mechanics

Author : Alberto Carpinteri
Publisher : CRC Press
ISBN 13 : 1351990896
Total Pages : 782 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Structural Mechanics by : Alberto Carpinteri

Download or read book Structural Mechanics written by Alberto Carpinteri and published by CRC Press. This book was released on 2017-12-21 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete and unified treatment of the fundamental themes of structural mechanics, ranging from the traditional to the most advanced topics, covering mechanics of linear elastic solids, theory of beam systems, and phenomena of structural failure. The book considers explicitly all the static and kenetic operators of structural mechanics with their dual character. Topics relating to structural symmetry are covered in a single chapter while dynamics is dealt with at various points. The logical presentation allows the clear introduction of topics such as finite element methods, automatic calculation of framed beam systems, plate and shell theory, theory of plasticity, and fracture mechanics. Numerous worked examples, exercises with complete solutions and illustrations make it accessible both as a text for students and as a reference for research workers and practicing engineers.

Elastic Beams and Frames

Author : J D Renton
Publisher : ISBS
ISBN 13 : 9781898563860
Total Pages : 428 pages
Book Rating : 4.5/5 (638 download)

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Book Synopsis Elastic Beams and Frames by : J D Renton

Download or read book Elastic Beams and Frames written by J D Renton and published by ISBS. This book was released on 2002-03 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to more advanced ideas on the theory of structures and contains additional material that is not readily available in other text books.

Classical Theory of Structures

Author : P. G. Lowe
Publisher : CUP Archive
ISBN 13 : 9780521080897
Total Pages : 244 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Classical Theory of Structures by : P. G. Lowe

Download or read book Classical Theory of Structures written by P. G. Lowe and published by CUP Archive. This book was released on 1971-07-02 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Mechanics

Author : Sven Olof Asplund
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis Structural Mechanics by : Sven Olof Asplund

Download or read book Structural Mechanics written by Sven Olof Asplund and published by . This book was released on 1966 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Principles of Structural Mechanics

Author : Percy J. Waldram
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis The Principles of Structural Mechanics by : Percy J. Waldram

Download or read book The Principles of Structural Mechanics written by Percy J. Waldram and published by . This book was released on 1912 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Thin-Walled Beams

Author : Yoon Young Kim
Publisher : Springer Nature
ISBN 13 : 9811977720
Total Pages : 381 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Analysis of Thin-Walled Beams by : Yoon Young Kim

Download or read book Analysis of Thin-Walled Beams written by Yoon Young Kim and published by Springer Nature. This book was released on 2023-05-20 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive introduction to an advanced beam theory applicable to thin-walled beams of rectangular and arbitrarily-shaped cross-sections. Furthermore, it describes a unique beam-based approach to handling joint structures consisting of thin-walled beams, compiled here for the first time. This higher-order beam theory (HoBT), developed by the authors over the past two decades, uses more than six degrees of freedom (DOFs) in contrast to the classical theories, which use only six DOFs. The additional degrees of freedom describe sectional deformations such as warping and distortion. This book presents a novel systematic procedure to derive the sectional deformations analytically for rectangular cross-sections and numerically for arbitrarily-shaped cross-sections. This book is a must for structural/mechanical engineers who wish to understand and design structures involving thin-walled beams.

An Isogeometric Approach to Beam Structures

Author : Buntara S. Gan
Publisher : Springer
ISBN 13 : 3319564935
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis An Isogeometric Approach to Beam Structures by : Buntara S. Gan

Download or read book An Isogeometric Approach to Beam Structures written by Buntara S. Gan and published by Springer. This book was released on 2017-06-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulation: a unique formulation in condensing the dynamic equilibrium equation for beam structures, suitable for reducing the number of unlimited dynamic equations necessary to yield a classic two-node beam element. Professor Buntara’s method overcomes the problem of the isogeometric approach where the number of degrees of freedom is increased along with the complexity of the geometrical beam element and facilitates implementation of the codes into the existing beam structures programs, and CAD geometrical data into the conventional FE beam element codes. The book proposes a new reduction method where the beam element can be treated as under the conventional beam element theory that has only two nodes at both ends.

An Introduction to the History of Structural Mechanics

Author : Edoardo Benvenuto
Publisher : Springer
ISBN 13 : 9780387962276
Total Pages : 336 pages
Book Rating : 4.9/5 (622 download)

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Book Synopsis An Introduction to the History of Structural Mechanics by : Edoardo Benvenuto

Download or read book An Introduction to the History of Structural Mechanics written by Edoardo Benvenuto and published by Springer. This book was released on 1991 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the finest I have ever read. To write a foreword for it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.