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This expanded second edition presents in one text the concepts and processes covered in statics and mechanics of materials curricula following a systematic, topically integrated approach. Building on the novel pedagogy of fusing concepts covered in traditional undergraduate courses in rigid-body statics and deformable body mechanics, rather than simply grafting them together, this new edition develops further the authors’ very original treatment of solid mechanics with additional figures, an elaboration on selected solved problems, and additional text as well as a new subsection on viscoelasticity in response to students’ feedback. Introduction to Solid Mechanics: An Integrated Approach, Second Edition, offers a holistic treatment of the depth and breadth of solid mechanics and the inter-relationships of its underlying concepts. Proceeding from first principles to applications, the book stands as a whole greater than the sum of its parts.
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.
This book is intended as an introductory text on Solid Mechanics suitable for engineers, scientists and applied mathematicians. Solid mechanics is treated as a subset of mathematical engineering and courses on this topic which include theoretical, numerical and experimental aspects (as this text does) can be amongst the most interesting and accessible that an undergraduate science student can take. I have concentrated entirely on linear elasticity being, to the beginner, the most amenable and accessible aspect of solid mechanics. It is a subject with a long history, though its development in relatively recent times can be traced back to Hooke (circa 1670). Partly because of its long history solid mechanics has an 'old fashioned' feel to it which is reflected in numerous texts written on the subject. This is particularly so in the classic text by Love (A Treatise on the Mathematical Theory of Elasticity 4th ed., Cambridge, Univ. Press, 1927). Although there is a wealth of information in that text it is not in a form which is easily accessible to the average lecturer let alone the average engineering student. This classic style avoiding the use of vectors or tensors has been mirrored in many other more 'modern' texts.
This textbook offers an introduction to modeling the mechanical behavior of solids within continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of the most important models in one dimension. Tensor calculus, which is called for in three-dimensional modeling, is concisely presented in the second part of the book. Once the reader is equipped with these essential mathematical tools, the third part of the book develops the foundations of continuum mechanics right from the beginning. Lastly, the book’s fourth part focuses on modeling the mechanics of materials and in particular elasticity, viscoelasticity and plasticity. Intended as an introductory textbook for students and for professionals interested in self-study, it also features numerous worked-out examples to aid in understanding.
This book provides a systematic, modern introduction to solid mechanics that is carefully motivated by realistic Engineering applications. Based on 25 years of teaching experience, Raymond Parnes uses a wealth of examples and a rich set of problems to build the reader's understanding of the scientific principles, without requiring 'higher mathematics'. Highlights of the book include The use of modern SI units throughout A thorough presentation of the subject stressing basic unifying concepts Comprehensive coverage, including topics such as the behaviour of materials on a phenomenological level Over 600 problems, many of which are designed for solving with MATLAB, MAPLE or MATHEMATICA. Solid Mechanics in Engineering is designed for 2-semester courses in Solid Mechanics or Strength of Materials taken by students in Mechanical, Civil or Aeronautical Engineering and Materials Science and may also be used for a first-year graduate program.
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
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.
Continuum mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples and problems, many with solutions. Through the addition of more advanced material (solution of classical elasticity problems, constitutive equations for viscoelastic fluids, and finite deformation theory), this popular introduction to modern continuum mechanics has been fully revised to serve a dual purpose: for introductory courses in undergraduate engineering curricula, and for beginning graduate courses.