Energy Principles in Structural Mechanics
Author : Theodore R. Tauchert
Publisher :
Page : 408 pages
File Size : 17,41 MB
Release : 1981
Category : Structural analysis (Engineering)
ISBN :
Energy Principles and Variational Methods in Applied Mechanics
Author : J. N. Reddy
Publisher : John Wiley & Sons
Page : 1069 pages
File Size : 22,58 MB
Release : 2017-07-21
Category : Technology & Engineering
ISBN : 1119087392
Book Description
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
Energy and Finite Element Methods in Structural Mechanics
Author : Irving Herman Shames
Publisher : New Age International
Page : 790 pages
File Size : 40,99 MB
Release : 1995
Category : Calculus of variations
ISBN : 9788122407495
Book Description
This Book Is The Outcome Of Material Used In Senior And Graduate Courses For Students In Civil, Mechanical And Aeronautical Engineering. To Meet The Needs Of This Varied Audience, The Author Have Laboured To Make This Text As Flexible As Possible To Use.Consequently, The Book Is Divided Into Three Distinct Parts Of Approximately Equal Size. Part I Is Entitled Foundations Of Solid Mechanics And Variational Methods, Part Ii Is Entitled Structural Mechanics; And Part Iii Is Entitled Finite Elements.Depending On The Background Of The Students And The Aims Of The Course Selected Portions Can Be Used From Some Or All Of The Three Parts Of The Text To Form The Basis Of An Individual Course.The Purpose Of This Useful Book Is To Afford The Student A Sound Foundation In Variational Calculus And Energy Methods Before Delving Into Finite Elements. He Goal Is To Make Finite Elements More Understandable In Terms Of Fundamentals And Also To Provide The Student With The Background Needed To Extrapolate The Finite Element Method To Areas Of Study Other Than Solid Mechanics. In Addition, A Number Of Approximation Techniques Are Made Available Using The Quadratic Functional For A Boundary-Value Problem.Finally, The Authors; Aim Is To Give Students Who Go Through The Entire Text A Balanced And Connected Exposure To Certain Key Aspects Of Modern Structural And Solid Mechanics.
Mechanics of Solids and Structures, Second Edition
Author : Roger T. Fenner
Publisher : CRC Press
Page : 707 pages
File Size : 30,11 MB
Release : 2012-06-12
Category : Technology & Engineering
ISBN : 1439858144
Book Description
A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics. Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems. Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.
Stability Theory and Its Applications to Structural Mechanics
Author : Clive L. Dym
Publisher : Courier Dover Publications
Page : 0 pages
File Size : 50,76 MB
Release : 2002
Category : Structural stability
ISBN : 9780486425412
Book Description
An integration of modern work in structural stability theory, this volume focuses on the Koiter postbuckling analyses, with mathematical notions of stability of motion. In relation to discrete and continuous systems, it bases the minimum energy principles for static stability upon the dynamic concepts of stability of motion. It further develops the asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches.
Fundamentals of Structural Mechanics
Author : Keith D. Hjelmstad
Publisher : Springer Science & Business Media
Page : 485 pages
File Size : 29,90 MB
Release : 2007-03-14
Category : Technology & Engineering
ISBN : 0387233318
Book Description
A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.
Structural Mechanics Fundamentals
Author : Alberto Carpinteri
Publisher : CRC Press
Page : 514 pages
File Size : 20,29 MB
Release : 2013-09-20
Category : Technology & Engineering
ISBN : 0415580323
Book Description
Structural Mechanics Fundamentals gives you a complete and uniform treatment of the most fundamental and essential topics in structural mechanics. Presenting a traditional subject in an updated and modernized way, it merges classical topics with ones that have taken shape in more recent times, such as duality. This book is extensively based on the introductory chapters to the author’s Structural Mechanics: A Unified Approach. Coverage includes: The basic topics of geometry of areas and of kinematics and statics of rigid body systems The mechanics of linear elastic solids—beams, plates, and three-dimensional solids—examined using a matrix approach The analysis of strain and stress around a material point The linear elastic constitutive law, with related Clapeyron’s and Betti’s theorems Kinematic, static, and constitutive equations The implication of the principle of virtual work The Saint Venant problem The theory of beam systems—statically determinate or indeterminate Methods of forces and energy for the examination of indeterminate beam systems The book draws on the author’s many years of teaching experience and features a wealth of illustrations and worked examples to help explain the topics clearly yet rigorously. The book can be used as a text for senior undergraduate or graduate students in structural engineering or architecture and as a valuable reference for researchers and practicing engineers.
Energy Methods in Structural Mechanics
Author : Federico Guarracino
Publisher : Thomas Telford
Page : 444 pages
File Size : 23,54 MB
Release : 1999
Category : Technology & Engineering
ISBN : 9780727727572
Book Description
- Work and energy - Kinematics and equilibrium of systems of rigid bodies - Deformation of bodies and material properties - Theory of elastic deformation of beams - General principles in the analysis of linear elastic structures - Total potential energy - The method of trial functions - Matrix analysis of pin-jointed trussed structures - Matrix analysis of rigid-jointed framed structures - Analysis of thin plates - The theory of finite elements - Stability of equilibrium and non-linear deformations of beam-columns
Mechanics of Civil Engineering Structures
Author : Laszlo P. Kollar
Publisher : Woodhead Publishing
Page : 594 pages
File Size : 15,46 MB
Release : 2020-10-20
Category : Technology & Engineering
ISBN : 0128203226
Book Description
Practicing engineers designing civil engineering structures, and advanced students of civil engineering, require foundational knowledge and advanced analytical and empirical tools. Mechanics in Civil Engineering Structures presents the material needed by practicing engineers engaged in the design of civil engineering structures, and students of civil engineering. The book covers the fundamental principles of mechanics needed to understand the responses of structures to different types of load and provides the analytical and empirical tools for design. The title presents the mechanics of relevant structural elements—including columns, beams, frames, plates and shells—and the use of mechanical models for assessing design code application. Eleven chapters cover topics including stresses and strains; elastic beams and columns; inelastic and composite beams and columns; temperature and other kinematic loads; energy principles; stability and second-order effects for beams and columns; basics of vibration; indeterminate elastic-plastic structures; plates and shells. This book is an invaluable guide for civil engineers needing foundational background and advanced analytical and empirical tools for structural design. - Includes 110 fully worked-out examples of important problems and 130 practice problems with an interaction solution manual (http://hsz121.hsz.bme.hu/solutionmanual) - Presents the foundational material and advanced theory and method needed by civil engineers for structural design - Provides the methodological and analytical tools needed to design civil engineering structures - Details the mechanics of salient structural elements including columns, beams, frames, plates and shells - Details mechanical models for assessing the applicability of design codes
Structural Analysis
Author : O. A. Bauchau
Publisher : Springer Science & Business Media
Page : 943 pages
File Size : 17,77 MB
Release : 2009-08-03
Category : Technology & Engineering
ISBN : 9048125162
Book Description
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.
