Author: J. N. Reddy
Publisher: John Wiley & Sons
Published: 2017-07-21
Total Pages: 760
ISBN-13: 1119087392
DOWNLOAD EBOOK →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.
Author: Irving Herman Shames
Publisher: New Age International
Published: 1995
Total Pages: 790
ISBN-13: 9788122407495
DOWNLOAD EBOOK →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.
Author: Irving H Shames
Publisher: CRC Press
Published: 1985-01-01
Total Pages: 784
ISBN-13: 9780891165057
DOWNLOAD EBOOK →THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.
Author: J. N. Reddy
Publisher: John Wiley & Sons
Published: 2017-08-07
Total Pages: 756
ISBN-13: 1119087376
DOWNLOAD EBOOK →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.
Author: Roger T. Fenner
Publisher: CRC Press
Published: 2012-06-12
Total Pages: 707
ISBN-13: 1439858144
DOWNLOAD EBOOK →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.
Author: IrvingH Shames
Publisher: Routledge
Published: 2018-05-08
Total Pages: 417
ISBN-13: 1351451456
DOWNLOAD EBOOK →THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.
Author: IrvingH Shames
Publisher: Routledge
Published: 2017-09-06
Total Pages: 776
ISBN-13: 135145143X
DOWNLOAD EBOOK →First published in 1996. CRC Press is an imprint of Taylor & Francis.
Author: Federico Guarracino
Publisher: Thomas Telford
Published: 1999
Total Pages: 444
ISBN-13: 9780727727572
DOWNLOAD EBOOK →- 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
Author: Clive L. Dym
Publisher: Courier Dover Publications
Published: 2002
Total Pages: 0
ISBN-13: 9780486425412
DOWNLOAD EBOOK →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.