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Beam Structures

Beam Structures
Author: Erasmo Carrera
Publisher: John Wiley & Sons
Total Pages: 171
Release: 2011-07-28
Genre: Science
ISBN: 1119951046

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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.


An Isogeometric Approach to Beam Structures

An Isogeometric Approach to Beam Structures
Author: Buntara S. Gan
Publisher: Springer
Total Pages: 240
Release: 2017-06-01
Genre: Technology & Engineering
ISBN: 3319564935

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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.


Static and Dynamic Analysis of Structures

Static and Dynamic Analysis of Structures
Author: J.F. Doyle
Publisher: Springer Science & Business Media
Total Pages: 464
Release: 1991-07-31
Genre: Science
ISBN: 9780792312086

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This book is concerned with the static and dynamic analysis of structures. Specifi cally, it uses the stiffness formulated matrix methods for use on computers to tackle some of the fundamental problems facing engineers in structural mechanics. This is done by covering the Mechanics of Structures, its rephrasing in terms of the Matrix Methods, and then their Computational implementation, all within a cohesivesetting. Although this book is designed primarily as a text for use at the upper-undergraduate and beginning graduate level, many practicing structural engineers will find it useful as a reference and self-study guide. Several dozen books on structural mechanics and as many on matrix methods are currently available. A natural question to ask is why another text? An odd devel opment has occurred in engineering in recent years that can serve as a backdrop to why this book was written. With the widespread availability and use of comput ers, today's engineers have on their desk tops an analysis capability undreamt of by previous generations. However, the ever increasing quality and range of capabilities of commercially available software packages has divided the engineering profession into two groups: a small group of specialist program writers that know the ins and outs of the coding, algorithms, and solution strategies; and a much larger group of practicing engineers who use the programs. It is possible for this latter group to use this enormous power without really knowing anything of its source.


Structural Analysis

Structural Analysis
Author: O. A. Bauchau
Publisher: Springer Science & Business Media
Total Pages: 943
Release: 2009-08-03
Genre: Technology & Engineering
ISBN: 9048125162

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The authors and their colleagues developed this text over many years, teaching undergraduate and graduate courses in structural analysis courses at the Daniel Guggenheim School of Aerospace Engineering of the Georgia Institute of Technology. The emphasis is on clarity and unity in the presentation of basic structural analysis concepts and methods. The equations of linear elasticity and basic constitutive behaviour of isotropic and composite materials are reviewed. The text focuses on the analysis of practical structural components including bars, beams and plates. Particular attention is devoted to the analysis of thin-walled beams under bending shearing and torsion. Advanced topics such as warping, non-uniform torsion, shear deformations, thermal effect and plastic deformations are addressed. A unified treatment of work and energy principles is provided that naturally leads to an examination of approximate analysis methods including an introduction to matrix and finite element methods. This teaching tool based on practical situations and thorough methodology should prove valuable to both lecturers and students of structural analysis in engineering worldwide. This is a textbook for teaching structural analysis of aerospace structures. It can be used for 3rd and 4th year students in aerospace engineering, as well as for 1st and 2nd year graduate students in aerospace and mechanical engineering.


How to Build with Grid Beam

How to Build with Grid Beam
Author: Phil Jergenson
Publisher: New Society Publishers
Total Pages: 289
Release: 2008-06-01
Genre: Crafts & Hobbies
ISBN: 0865716137

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Build almost anything!


Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories
Author: Isaac E Elishakoff
Publisher: World Scientific
Total Pages: 798
Release: 2019-10-29
Genre: Technology & Engineering
ISBN: 9813236531

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The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)


Theory of Beam-Columns, Volume 1

Theory of Beam-Columns, Volume 1
Author: Wai-Fah Chen
Publisher: J. Ross Publishing
Total Pages: 532
Release: 2007-12-15
Genre: Technology & Engineering
ISBN: 9781932159769

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This is the first volume of a two-volume work presenting the basic theoretical principles, methods of analysis in obtaining the solutions of beam-columns, and developments of theories of biaxially loaded beam-columns, and to show how these theories can be used in the solution of practical design problems. After presenting the basic theory the authors proceed to solutions of particular problems. Both refined and simplified design procedures, along with their limitations, are presented. It is left to the engineer to choose among them as he sees fit. An unabridged J. Ross Publishing republication of the edition published by McGraw-Hill, Inc., New York, 1976, 513pp.


Beams and Framed Structures

Beams and Framed Structures
Author: Jacques Heyman
Publisher: Elsevier
Total Pages: 145
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483160580

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Beams and Framed Structures, Second Edition deals with the material strength and stiffness of beams and plane frames. The theory of structures, as applied to frames, is examined, with emphasis on bending moments throughout the frame and the resulting deformations. Linear elastic structures and plastic collapse and elastic-plastic structures are considered. Comprised of three chapters, this book begins with an introduction to the basic equations on equilibrium, deformation, virtual work, and the relationship between bending moment and curvature. The next chapter is devoted to elastic beams and frames, with particular reference to the principle of superposition; energy methods for elastic frames; moment distribution; and thermal effects. The final chapter focuses on plastic beams and frames and covers topics such as theorems of plastic collapse; elastic-plastic analysis; deflexions at collapse; and interaction diagrams. Throughout the text, it is assumed that all members of a frame remain stable, so that instability phenomena do not occur. This monograph will be of interest to structural and mechanical engineers.


Design and Development of MEMS based Guided Beam Type Piezoelectric Energy Harvester

Design and Development of MEMS based Guided Beam Type Piezoelectric Energy Harvester
Author: Shanky Saxena
Publisher: Springer Nature
Total Pages: 190
Release: 2021-04-06
Genre: Technology & Engineering
ISBN: 9811606064

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This book presents device design, layout design, FEM analysis, device fabrication, and packaging and testing of MEMS-based piezoelectric vibration energy harvesters. It serves as a complete guide from design, FEM, and fabrication to characterization. Each chapter of this volume illustrates key insight technologies through images. The book showcases different technologies for energy harvesting and the importance of energy harvesting in wireless sensor networks. The design, simulation, and comparison of three types of structures – single beam cantilever structure, cantilever array structure, and guided beam structure have also been reported in one of the chapters. In this volume, an elaborate characterization of two-beam and four-beam fabricated devices has been carried out. This characterization includes structural, material, morphological, topological, dynamic, and electrical characterization of the device. The volume is very concise, easy to understand, and contains colored images to understand the details of each process.