Author : Allan F. Bower
Publisher : CRC Press
Page : 820 pages
File Size : 28,87 MB
Release : 2009-10-05
Category : Science
ISBN : 1439802483
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Author : Roger T. Fenner
Publisher : CRC Press
Page : 707 pages
File Size : 32,89 MB
Release : 2012-06-12
Category : Technology & Engineering
ISBN : 1439858144
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 : Peter Howell
Publisher : Cambridge University Press
Page : 467 pages
File Size : 44,80 MB
Release : 2009
Category : Mathematics
ISBN : 052185489X
Emphasises the power of mathematics to provide quantitative insights across the whole area of solid mechanics; accessible and comprehensive.
Author : Carl Ross
Publisher : Routledge
Page : 1510 pages
File Size : 40,67 MB
Release : 2016-02-05
Category : Technology & Engineering
ISBN : 1317189388
An introduction to the fundamental concepts of solid materials and their properties The primary recommended text of the Council of Engineering Institutions for university undergraduates studying the mechanics of solids New chapters covering revisionary mathematics, geometrical properties of symmetrical sections, bending stresses in beams, composites and the finite element method Free electronic resources and web downloads support the material contained within this book Mechanics of Solids provides an introduction to the behaviour of solid materials and their properties, focusing upon the fundamental concepts and principles of statics and stress analysis. Essential reading for first year undergraduates, the mathematics in this book has been kept as straightforward as possible and worked examples are used to reinforce key concepts. Practical stress and strain scenarios are also covered including stress and torsion, elastic failure, buckling, bending, as well as examples of solids such as thin-walled structures, beams, struts and composites. This new edition includes new chapters on revisionary mathematics, geometrical properties of symmetrical sections, bending stresses in beams, composites, the finite element method, and Ross’s computer programs for smartphones, tablets and computers.
Author : David H. Allen
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 33,19 MB
Release : 2012-08-09
Category : Science
ISBN : 1461440033
Introduction to the Mechanics of Deformable Solids: Bars and Beams introduces the theory of beams and bars, including axial, torsion, and bending loading and analysis of bars that are subjected to combined loadings, including resulting complex stress states using Mohr’s circle. The book provides failure analysis based on maximum stress criteria and introduces design using models developed in the text. Throughout the book, the author emphasizes fundamentals, including consistent mathematical notation. The author also presents the fundamentals of the mechanics of solids in such a way that the beginning student is able to progress directly to a follow-up course that utilizes two- and three-dimensional finite element codes imbedded within modern software packages for structural design purposes. As such, excessive details included in the previous generation of textbooks on the subject are obviated due to their obsolescence with the availability of today’s finite element software packages.
Author : Robert Asaro
Publisher : Cambridge University Press
Page : 888 pages
File Size : 30,82 MB
Release : 2006-01-16
Category : Science
ISBN : 9780521859790
This 2006 book combines modern and traditional solid mechanics topics in a coherent theoretical framework.
Author : S. Nemat-Nasser
Publisher : Elsevier
Page : 429 pages
File Size : 47,25 MB
Release : 2017-01-31
Category : Technology & Engineering
ISBN : 1483145832
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
Author : Paolo Maria Mariano
Publisher : Birkhäuser
Page : 439 pages
File Size : 18,78 MB
Release : 2015-11-30
Category : Mathematics
ISBN : 1493931334
This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams. The authors take a deductive rather than inductive approach and start from a few first, foundational principles. A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications. The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space. Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod. An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics. Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics. Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.
Author : Lester W. Schmerr
Publisher : Cambridge University Press
Page : 581 pages
File Size : 34,9 MB
Release : 2021-02-18
Category : Science
ISBN : 110884331X
Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.
Author : Franz Ziegler
Publisher : Springer Science & Business Media
Page : 750 pages
File Size : 26,38 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1468405128
This book offers a unified presentation of the concepts and most of the practicable principles common to all branches of solid and fluid should be appealing to advanced undergraduate mechanics. Its design students in engineering science and should also enhance the insight of both graduate students and practitioners. A profound knowledge of applied mechanics as understood in this book may help to cultivate the versatility that the engineering community must possess in this modern world of high-technology. This book is, in fact, a reviewed and extensively improved second edition, but it can also be regarded as the first edition in English, translated by the author himself from the original German version, "Technische Mechanik der festen und flOssigen Korper," published by Springer-Verlag, Wien, in 1985. Although this book grew out of lecture notes for a three semester course for advanced undergraduate students taught by the author and several colleagues during the past 20 years, it contains sufficient material for a subsequent two-semester graduate course. The only prerequisites are basic algebra and analysis as usually taught in the first year of an undergraduate engineering curriculum. Advanced mathematics as it is required in the progress of mechanics teaching may be taught in parallel classes, but also an introduction into the art of design should be offered at that stage.
