Analysis of Structures

Analysis of Structures offers an original way of introducing engineering students to the subject of stress and deformation analysis of solid objects, and helps them become more familiar with how numerical methods such as the finite element method are used in industry. Eisley and Waas secure for the reader a thorough understanding of the basic numerical skills and insight into interpreting the results these methods can generate. Throughout the text, they include analytical development alongside the computational equivalent, providing the student with the understanding that is necessary to interpret and use the solutions that are obtained using software based on the finite element method. They then extend these methods to the analysis of solid and structural components that are used in modern aerospace, mechanical and civil engineering applications. Analysis of Structures is accompanied by a book companion website href="http://www.wiley.com/go/waas">www.wiley.com/go/waas housing exercises and examples that use modern software which generates color contour plots of deformation and internal stress.It offers invaluable guidance and understanding to senior level and graduate students studying courses in stress and deformation analysis as part of aerospace, mechanical and civil engineering degrees as well as to practicing engineers who want to re-train or re-engineer their set of analysis tools for contemporary stress and deformation analysis of solids and structures. Provides a fresh, practical perspective to the teaching of structural analysis using numerical methods for obtaining answers to real engineering applications Proposes a new way of introducing students to the subject of stress and deformation analysis of solid objects that are used in a wide variety of contemporary engineering applications * Casts axial, torsional and bending deformations of thin walled objects in a framework that is closely amenable to the methods by which modern stress analysis software operates.

Auteur

Anthony M. Waas and Joe G. Eisley, University of Michigan,
USA

Anthony Waas is Professor of Aerospace Engineering and
Professor of Mechanical Engineering, and Director, Composite
Structures Laboratory at the University of Michigan. His current
research interests are damage tolerance analysis of composite
materials and components made of composite materials,
nanocomposites, structural engineering, biomaterials and
bioengineering, and structures and mechanical components operating
under "hot" conditions. A recipient of many awards for teaching and
research excellence, Professor Waas is a Fellow of ASME and the
AAM, and an Associate Fellow of AIAA and has served as an Associate
Editor of the AIAA Journal (1995-02) and on the Editorial
Advisory Board of the AIAA Journal of Aircraft (1995-00). He
is currently on the editorial board of the Journal Composites: B
and serves as an Associate Editor of the RAeS Aeronautical
Journal, IJ of Engineering Science and Journal of
Applied Mechanics, and is on the Editorial Board of Computer
Modeling in Engineering and Sciences, and the Journal of the
Mechanical Behavior of Materials. He was the Technical Chair of
the 49th AIAA SDM conference.

Joe G Eisley is Professor Emeritus - Aerospace
Engineering in the College of Engineering at the University of
Michigan. He is author of Mechanics of Elastic
Structures.

Résumé
Analysis of Structures offers an original way of introducing engineering students to the subject of stress and deformation analysis of solid objects, and helps them become more familiar with how numerical methods such as the finite element method are used in industry. Eisley and Waas secure for the reader a thorough understanding of the basic numerical skills and insight into interpreting the results these methods can generate.

Throughout the text, they include analytical development alongside the computational equivalent, providing the student with the understanding that is necessary to interpret and use the solutions that are obtained using software based on the finite element method. They then extend these methods to the analysis of solid and structural components that are used in modern aerospace, mechanical and civil engineering applications.

Analysis of Structures is accompanied by a book companion website www.wiley.com/go/waas housing exercises and examples that use modern software which generates color contour plots of deformation and internal stress.It offers invaluable guidance and understanding to senior level and graduate students studying courses in stress and deformation analysis as part of aerospace, mechanical and civil engineering degrees as well as to practicing engineers who want to re-train or re-engineer their set of analysis tools for contemporary stress and deformation analysis of solids and structures.

• Provides a fresh, practical perspective to the teaching of structural analysis using numerical methods for obtaining answers to real engineering applications

• Proposes a new way of introducing students to the subject of stress and deformation analysis of solid objects that are used in a wide variety of contemporary engineering applications

• Casts axial, torsional and bending deformations of thin walled objects in a framework that is closely amenable to the methods by which modern stress analysis software operates.

Contenu
About the Authors xiii Preface xv

1 Forces and Moments 1

1.1 Introduction 1

1.2 Units 1

1.3 Forces in Mechanics of Materials 3

1.4 Concentrated Forces 4

1.5 Moment of a Concentrated Force 9

1.6 Distributed ForcesForce and Moment Resultants 19

1.7 Internal Forces and StressesStress Resultants 27

1.8 Restraint Forces and Restraint Force Resultants 32

1.9 Summary and Conclusions 33

2 Static Equilibrium 35

2.1 Introduction 35

2.2 Free Body Diagrams 35

2.3 EquilibriumConcentrated Forces 38

2.3.1 Two Force Members and Pin Jointed Trusses 38

2.3.2 Slender Rigid Bars 44

2.3.3 Pulleys and Cables 49

2.3.4 Springs 52

2.4 EquilibriumDistributed Forces 55

2.5 Equilibrium in Three Dimensions 59

2.6 EquilibriumInternal Forces and Stresses 62

2.6.1 Equilibrium of Internal Forces in Three Dimensions 65

2.6.2 Equilibrium in Two DimensionsPlane Stress 69

2.6.3 Equilibrium in One DimensionUniaxial Stress 70

2.7 Summary and Conclusions 70

3 Displacement, Strain, and Material Properties 71

3.1 Introduction 71

3.2 Displacement and Strain 71

3.2.1 Displacement 72

3.2.2 Strain 72

3.3 Compatibility 76

3.4 Linear Material Properties 77

3.4.1 Hooke's Law in One DimensionTension 77

3.4.2 Poisson's Ratio 81

3.4.3 Hooke's Law in One DimensionShear in Isotropic Materials 82

3.4.4 Hooke's Law in Two Dimensions for Isotropic Materials 83

3.4.5 Generalized Hooke's Law for Isotropic Materials 84

3.5 Some Simple Solutions for Stress, Strain, and Displacement 85

3.6 Thermal Strain 89

3.7 Engineering Materials 90

3.8 Fiber Reinforced Composite Laminates 90

3.8.1 Hooke's Law in Two Dimensions for a FRP Lamina 91

3.8.2 Properties of Unidirectional Lamina 94

3.9 Plan for the Following Chapters 96

3.10 Summary and Conclusions 98

4 Classical Analysis of the Axially Loaded Slender Bar 99

4.1 Introduction 99

4.2 Solutions from the Theory of Elasticity 99

4.3 Derivation and Solution of the Governing Equations 109

4.4 The Statically Determinate Case 116

4.5 The Statically Indeterminate Case 129

4.6 Variable Cross Sections 136

4.7 Thermal Stress and Strain in an Axially Loaded Bar 142

4.8 Shearing Stress in an Axially Loaded Bar 143

4.9 Design of Axially Loaded Bars 145

4.10 Analysis and Design of Pin Jointed Trusses 149

4.11 Work and E…