David W. A. Rees - Böcker

In a global climate where engineers are increasingly under pressure to make the most of limited resources, there are huge potential financial and environmental benefits to be gained by designing for minimum weight. With Mechanics of Optimal Structural Design, David Rees brings the original approach of weight optimization to the existing structural design literature, providing a methodology for attaining minimum weight of a range of structures under their working loads. He addresses the current gap in education between formal structural design teaching at undergraduate level and the practical application of this knowledge in industry, describing the analytical techniques that students need to understand before applying computational techniques that can be easy to misuse without this grounding. Shows engineers how to approach structural design for minimum weight in clear, concise termsContains many new least-weight design techniques, taking into consideration different manners of loading and including new topics that have not previously been considered within the least-weight themeConsiders the demands for least-weight road, air and space vehicles for the futureEnhanced by illustrative worked examples to enlighten the theory, exercises at the end of each chapter that enable application of the theory covered, and an accompanying website with worked examples and solutions housed at www.wiley.com/go/rees (TBC)The least-weight analyses of basic structural elements ensure a spread of interest with many applications in mechanical, civil, aircraft and automobile engineering. Consequently, this book fills the gap between the basic material taught at undergraduate level and other approaches to optimum design, for example computer simulations and the finite element method.

The fifteen chapters of this book are arranged in a logical progression. The text begins with the more fundamental material on stress and strain transformations with elasticity theory for plane and axially symmetric bodies, followed by a full treatment of the theories of bending and torsion. Coverage of moment distribution, shear flow, struts and energy methods precede a chapter on finite elements. Thereafter, the book presents yield and strength criteria, plasticity, collapse, creep, visco-elasticity, fatigue and fracture mechanics. Appended is material on the properties of areas, matrices and stress concentrations. Each topic is illustrated by worked examples and supported by numerous exercises drawn from the author's teaching experience and professional institution examinations (CEI).This edition includes new material and an extended exercise section for each of the fifteen chapters, as well as three appendices. The broad text ensures its suitability for undergraduate and postgraduate courses in which the mechanics of solids and structures form a part including: mechanical, aeronautical, civil, design and materials engineering.

The fifteen chapters of this book are arranged in a logical progression. The text begins with the more fundamental material on stress and strain transformations with elasticity theory for plane and axially symmetric bodies, followed by a full treatment of the theories of bending and torsion. Coverage of moment distribution, shear flow, struts and energy methods precede a chapter on finite elements. Thereafter, the book presents yield and strength criteria, plasticity, collapse, creep, visco-elasticity, fatigue and fracture mechanics. Appended is material on the properties of areas, matrices and stress concentrations. Each topic is illustrated by worked examples and supported by numerous exercises drawn from the author's teaching experience and professional institution examinations (CEI).This edition includes new material and an extended exercise section for each of the fifteen chapters, as well as three appendices. The broad text ensures its suitability for undergraduate and postgraduate courses in which the mechanics of solids and structures form a part including: mechanical, aeronautical, civil, design and materials engineering.

Engineering structures considered include bars, columns, struts, tubes, vessels, beams, springs and frames. The loadings imposed upon them are, typically, tension, compression and shear, bending, torsion and pressure, separately and in combination. The mechanics of such structures examine the manner in which they each bear their respective loading in a safe predictable way. This aids design considerations upon choice of material and its physical shape when seeking, say, a safe design with low weight.The presentation of chapters is intended to guide the reader from a basic to more advanced understanding of common engineering structures. Thus, the consideration of stress and strain under elastic and plastic conditions is required for a full understanding of a structure that may bend, twist and buckle as it is deflected by its loading. The approach adopted is to intersperse theory with examples and exercises that emphasise practical application. Standard analytical techniques including stress transformation, energy methods and yield criteria precede a final chapter on finite element analysis.Worked examples and exercises have been devised and compiled by the author to support the topics within each chapter. Some have been derived, with a conversion to SI units, from past examination papers set by institutions with which the author has been associated, namely: Brunel, Kingston and Surrey Universities and the Council of Engineering Institutions.The contents should serve most courses in mechanical, civil, aeronautical and materials engineering.

Engineering structures considered include bars, columns, struts, tubes, vessels, beams, springs and frames. The loadings imposed upon them are, typically, tension, compression and shear, bending, torsion and pressure, separately and in combination. The mechanics of such structures examine the manner in which they each bear their respective loading in a safe predictable way. This aids design considerations upon choice of material and its physical shape when seeking, say, a safe design with low weight.The presentation of chapters is intended to guide the reader from a basic to more advanced understanding of common engineering structures. Thus, the consideration of stress and strain under elastic and plastic conditions is required for a full understanding of a structure that may bend, twist and buckle as it is deflected by its loading. The approach adopted is to intersperse theory with examples and exercises that emphasise practical application. Standard analytical techniques including stress transformation, energy methods and yield criteria precede a final chapter on finite element analysis.Worked examples and exercises have been devised and compiled by the author to support the topics within each chapter. Some have been derived, with a conversion to SI units, from past examination papers set by institutions with which the author has been associated, namely: Brunel, Kingston and Surrey Universities and the Council of Engineering Institutions.The contents should serve most courses in mechanical, civil, aeronautical and materials engineering.

This book examines the issues across the breadth of elasticity theory. Firstly, the underpinning mathematics of vectors and matrices is covered. Thereafter, the equivalence between the inidicial, symbolic and matrix notations used for tensors is illustrated in the preparation for specific types of material behaviour to be expressed, usually as a response function from which a constitutive stress-strain relation follow.Mechanics of Elastic Solids shows that the elastic response of solid materials has many forms. Metals and their alloys confirm dutifully to Hooke's law. Non-metals do not when the law connecting stress to strain is expressed in polynomial, exponential and various empirical, material specific forms. Hyper- and hypo- elasticity theories differ in that the former is restricted to its thermodynamic basis while the latter pervades many an observed response with its release from thermal restriction, but only at the risk of contravening the laws of thermodynamics.This unique compendium is suitable for a degree or diploma course in engineering and applied mathematics, as well as postgraduate and professional researchers.

This handbook covers a number of the more recent developments regarding the mechanics of deforming solids. In recent years, much progress has been reported in the wide-ranging mechanical behaviour of solids under stress. Here the term stress in a solid arises from a number of external actions including direct tension, compression, pressure, bending, shear and torsion. Many of the topics covered are yet to find their way into the standard texts, which are often restricted to isotropic elasticity and plasticity.In this two-volume work, what might previously have been regarded as disparate, 'specialist' topics have been placed within a wider mechanics arena to emphasise their common, underlying principles. That arena is taken generally as one of inelasticity for dealing with the essential mechanics of these phenomena. Therein, this text brings together theory, experimental data, key references, examples and exercises, particularly those that relate to the important advances in the subject, both old and new. The presentation of material featured in this way anticipates that in their turn these additional topics will be recognised as essential material for study among engineers, physicists and applied mathematicians at undergraduate and postgraduate levels.

This book brings together, in sixteen chapters, those elements of the mechanics of plasticity most pertinent to engineers. A textbook style has been adopted in which worked examples and exercises illustrate the application of the theoretical material. The latter is provided with appropriate references to journals and other published sources. An appendix contains worked examples to selected exercises.The presentation of the introductory material, the theoretical developments and the use of appropriate experimental data appear within the first four chapters. Therein, appear the classical incremental flow and total deformation theories of plasticity. Comparisons with experimental results are able to discriminate between the two theories. Other fundamental studies of plasticity covered in later chapters include crystal plasticity and viscous behaviour of metallic solids. The intention there in chapters 8 and 11 is to reconcile micro and macro behaviour and to give an account of the time-dependence of deformation. The latter identifies creep strain as an adjunct to more recent plasticity theory where the classical approaches are known to be deficient. The remaining chapters are concerned mainly with applications of plasticity theory and the simplifications that these involve. Useful applications are given with and without work hardening for elastic-plasticity and with an absence of elasticity altogether in the case of a plastic-rigid solid. The topics within which these appear include structures, slip-line fields and finite elements for metal forming, stress waves in bars and plastic instability.The package of topics presented here is broader than other monographs on the theory of plasticity. The unique blend of contents is intended to support syllabuses across a diversity of undergraduate and postgraduate courses including manufacturing, engineering mechanics, strength of materials and applied mathematics.

The fifteen chapters of this book are arranged in a logical progression. The text begins with the more fundamental material on stress, strain and plane elasticity. There follows a full treatment of the theories of bending and torsion. Coverage of moment distribution, shear flow, struts and energy methods precedes a chapter on finite elements. Thereafter, the book presents yield and strength criteria, plasticity, collapse, creep, visco-elasticity, fatigue and fracture mechanics. Appended is material on the properties of areas, matrices and stress concentrations. Each topic is illustrated by worked examples and supported by numerous exercises.The broad text ensures its suitability for undergraduate and postgraduate courses in mechanical, aeronautical, civil and materials engineering.