Book description
This systematic exploration of realworld stress analysis has been completely updated to reflect stateoftheart methods and applications now used in aeronautical, civil, and mechanical engineering, and engineering mechanics. Distinguished by its exceptional visual interpretations of solutions, Advanced Mechanics of Materials and Applied Elasticity offers indepth coverage for both students and engineers. The authors carefully balance comprehensive treatments of solid mechanics, elasticity, and computeroriented numerical methods–preparing readers for both advanced study and professional practice in design and analysis.
Table of contents
 Cover Page
 About This EBook
 Half Title
 Title Page
 Copyright Page
 Contents
 Preface
 Acknowledgments
 About the Authors
 List of Symbols

Chapter 1. Analysis of Stress
 1.1 Introduction
 1.2 Scope of the Book
 1.3 Analysis and Design
 1.4 Conditions of Equilibrium
 1.5 Definition and Components of Stress
 1.6 Internal Force Resultant and Stress Relations
 1.7 Stresses on Inclined Sections
 1.8 Variation of Stress within a Body
 1.9 PlaneStress Transformation
 1.10 Principal Stresses and Maximum InPlane Shear Stress
 1.11 Mohr’s Circle for TwoDimensional Stress
 1.12 ThreeDimensional Stress Transformation
 1.13 Principal Stresses in Three Dimensions
 1.14 Normal and Shear Stresses on an Oblique Plane
 1.15 Mohr’s Circles in Three Dimensions
 1.16 Boundary Conditions in Terms of Surface Forces
 1.17 Indicial Notation
 References
 Problems

Chapter 2. Strain and Material Properties
 2.1 Introduction
 2.2 Deformation
 2.3 Strain Defined
 2.4 Equations of Compatibility
 2.5 State of Strain at a Point
 2.6 Engineering Materials
 2.7 StressStrain Diagrams
 2.8 Elastic versus Plastic Behavior
 2.9 Hooke’s Law and Poisson’s Ratio
 2.10 Generalized Hooke’s Law
 2.11 Orthotropic Materials
 2.12 Measurement of Strain: Strain Gage
 2.13 Strain Energy
 2.14 Strain Energy in Common Structural Members
 2.15 Components of Strain Energy
 2.16 SaintVenant’s Principle
 References
 Problems

Chapter 3. Problems in Elasticity
 3.1 Introduction
 3.2 Fundamental Principles of Analysis
 Part A: Formulation and Methods of Solution
 3.3 Plane Strain Problems
 3.4 Plane Stress Problems
 3.5 Comparison of TwoDimensional Isotropic Problems
 3.6 Airy’s Stress Function
 3.7 Solution of Elasticity Problems
 3.8 Thermal Stresses
 3.9 Basic Relations in Polar Coordinates
 Part B: Stress Concentrations
 3.10 Stresses Due to Concentrated Loads
 3.11 Stress Distribution Near a Concentrated Load Acting on a Beam
 3.12 Stress Concentration Factors
 Part C: Contact Mechanics
 3.13 Contact Stresses and Deflections
 3.14 Spherical and Cylindrical Contacts
 3.15 Contact Stress Distribution
 3.16 General Contact
 References
 Problems

Chapter 4. Failure Criteria
 4.1 Introduction
 Part A: Static Loading
 4.2 Failure by Yielding
 4.3 Failure by Fracture
 4.4 Yield and Fracture Criteria
 4.5 Maximum Shearing Stress Theory
 4.6 Maximum Distortion Energy Theory
 4.7 Octahedral Shearing Stress Theory
 4.8 Comparison of the Yielding Theories
 4.9 Maximum Principal Stress Theory
 4.10 Mohr’s Theory
 4.11 Coulomb–Mohr Theory
 4.12 Introduction to Fracture Mechanics
 4.13 Fracture Toughness
 Part B: Repeated and Dynamic Loadings
 4.14 Fatigue: Progressive Fracture
 4.15 Failure Criteria for Metal Fatigue
 4.16 Fatigue Life
 4.17 Impact Loads
 4.18 Longitudinal and Bending Impact
 4.19 Ductile–Brittle Transition
 References
 Problems

Chapter 5. Bending of Beams
 5.1 Introduction
 Part A: Exact Solutions
 5.2 Pure Bending of Beams of Symmetrical Cross Section
 5.3 Pure Bending of Beams of Asymmetrical Cross Section
 5.4 Bending of a Cantilever of Narrow Section
 5.5 Bending of a Simply Supported Narrow Beam
 Part B: Approximate Solutions
 5.6 Elementary Theory of Bending
 5.7 Normal and Shear Stresses
 5.8 Effect of Transverse Normal Stress
 5.9 Composite Beams
 5.10 Shear Center
 5.11 Statically Indeterminate Systems
 5.12 Energy Method for Deflections
 Part C: Curved Beams
 5.13 Elasticity Theory
 5.14 Curved Beam Formula
 5.15 Comparison of the Results of Various Theories
 5.16 Combined Tangential and Normal Stresses
 References
 Problems

Chapter 6. Torsion of Prismatic Bars
 6.1 Introduction
 6.2 Elementary Theory of Torsion of Circular Bars
 6.3 Stresses on Inclined Planes
 6.4 General Solution of the Torsion Problem
 6.5 Prandtl’s Stress Function
 6.6 Prandtl’s Membrane Analogy
 6.7 Torsion of Narrow Rectangular Cross Section
 6.8 Torsion of Multiply Connected ThinWalled Sections
 6.9 Fluid Flow Analogy and Stress Concentration
 6.10 Torsion of Restrained ThinWalled Members of Open Cross Section
 6.11 Torsion Bar Springs
 6.12 Curved Circular Bars
 References
 Problems

Chapter 7. Numerical Methods
 7.1 Introduction
 Part A: Finite Difference Analysis
 7.2 Finite Differences
 7.3 Finite Difference Equations
 7.4 Curved Boundaries
 7.5 Boundary Conditions
 Part B: Finite Element Analysis
 7.6 Fundamentals
 7.7 The Bar Element
 7.8 Arbitrarily Oriented Bar Element
 7.9 Axial Force Equation
 7.10 ForceDisplacement Relations for a Truss
 7.11 Beam Element
 7.12 Properties of TwoDimensional Elements
 7.13 General Formulation of the Finite Element Method
 7.14 Triangular Finite Element
 7.15 Case Studies in Plane Stress
 7.16 Computational Tools
 References
 Problems

Chapter 8. ThickWalled Cylinders and Rotating Disks
 8.1 Introduction
 8.2 ThickWalled Cylinders Under Pressure
 8.3 Maximum Tangential Stress
 8.4 Application of Failure Theories
 8.5 Compound Cylinders: Press or Shrink Fits
 8.6 Rotating Disks of Constant Thickness
 8.7 Disk Flywheels
 8.8 Rotating Disks of Variable Thickness
 8.9 Rotating Disks of Uniform Stress
 8.10 Thermal Stresses in Thin Disks
 8.11 Thermal Stress in Long Circular Cylinders
 8.12 Finite Element Solution
 References
 Problems

Chapter 9. Beams on Elastic Foundations
 9.1 Introduction
 9.2 General Theory
 9.3 Infinite Beams
 9.4 SemiInfinite Beams
 9.5 Finite Beams
 9.6 Classification of Beams
 9.7 Beams Supported by Equally Spaced Elastic Elements
 9.8 Simplified Solutions for Relatively Stiff Beams
 9.9 Solution by Finite Differences
 9.10 Applications
 References
 Problems

Chapter 10. Applications of Energy Methods
 10.1 Introduction
 Part A: Energy Principles
 10.2 Work Done in Deformation
 10.3 Reciprocity Theorem
 10.4 Castigliano’s Theorem
 10.5 Unit or DummyLoad Method
 10.6 Crotti–Engesser Theorem
 10.7 Statically Indeterminate Systems
 Part B: Variational Methods
 10.8 Principle of Virtual Work
 10.9 Principle of Minimum Potential Energy
 10.10 Deflections by Trigonometric Series
 10.11 Rayleigh–Ritz Method
 References
 Problems

Chapter 11. Stability of Columns
 11.1 Introduction
 11.2 Critical Load
 11.3 Buckling of PinEnded Columns
 11.4 Deflection Response of Columns
 11.5 Columns with Different End Conditions
 11.6 Critical Stress: Classification of Columns
 11.7 Design Formulas for Columns
 11.8 Imperfections in Columns
 11.9 Local Buckling of Columns
 11.10 Eccentrically Loaded Columns: Secant Formula
 11.11 Energy Methods Applied to Buckling
 11.12 Solution by Finite Differences
 11.13 Finite Difference Solution for Unevenly Spaced Nodes
 References
 Problems

Chapter 12. Plastic Behavior of Materials
 12.1 Introduction
 12.2 Plastic Deformation
 12.3 Idealized Stress–Strain Diagrams
 12.4 Instability in Simple Tension
 12.5 Plastic Axial Deformation and Residual Stress
 12.6 Plastic Deflection of Beams
 12.7 Analysis of Perfectly Plastic Beams
 12.8 Collapse Load of Structures: Limit Design
 12.9 Elastic–Plastic Torsion of Circular Shafts
 12.10 Plastic Torsion: Membrane Analogy
 12.11 Elastic–Plastic Stresses in Rotating Disks
 12.12 Plastic Stress–Strain Relations
 12.13 Plastic Stress–Strain Increment Relations
 12.14 Stresses in Perfectly Plastic ThickWalled Cylinders
 References
 Problems

Chapter 13. Stresses in Plates and Shells
 13.1 Introduction
 Part A: Bending of Thin Plates
 13.2 Basic Assumptions
 13.3 Strain–Curvature Relations
 13.4 Stress, Curvature, and Moment Relations
 13.5 Governing Equations of Plate Deflection
 13.6 Boundary Conditions
 13.7 Simply Supported Rectangular Plates
 13.8 Axisymmetrically Loaded Circular Plates
 13.9 Deflections of Rectangular Plates by the StrainEnergy Method
 13.10 Sandwich Plates
 13.11 Finite Element Solution
 Part B: Membrane Stresses in Thin Shells
 13.12 Theories and Behavior of Shells
 13.13 Simple Membrane Action
 13.14 Symmetrically Loaded Shells of Revolution
 13.15 Some Typical Cases of Shells of Revolution
 13.16 Thermal Stresses in Compound Cylinders
 13.17 Cylindrical Shells of General Shape
 References
 Problems
 Appendix A. Problem Formulation and Solution
 Appendix B. Solution of the Stress Cubic Equation
 Appendix C. Moments of Composite Areas
 Appendix D. Tables and Charts
 Appendix E. Introduction to MATLAB
 Answers to Selected Problems
 Index
 Code Snippets
Product information
 Title: Advanced Mechanics of Materials and Applied Elasticity, 6th Edition
 Author(s):
 Release date: August 2019
 Publisher(s): Pearson
 ISBN: 9780134859378
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