Advanced Mechanics of Materials and Applied Elasticity

Höfundar: Ansel C. Ugural; Saul K. Fenster (Útgáfa: 6)
Advanced Mechanics of Materials and Applied Elasticity

Kaup valmöguleikar

The Leading Practical Guide to Stress Analysis—Updated with State-of-the-Art Methods, Applications, and Problems This widely acclaimed exploration of real-world stress analysis reflects advanced methods and applications used in today’s mechanical, civil, marine, aeronautical engineering, and engineering mechanics/science environments. Practical and systematic, Advanced Mechanics of Materials and Applied Elasticity, Sixth Edition, has been updated with many new examples, figures, problems, MATLAB solutions, tables, and charts.

The revised edition balances discussions of advanced solid mechanics, elasticity theory, classical analysis, and computer-oriented approaches that facilitate solutions when problems resist conventional analysis. It illustrates applications with case studies, worked examples, and problems drawn from modern applications, preparing readers for both advanced study and practice. Readers will find updated coverage of analysis and design principles, fatigue criteria, fracture mechanics, compound cylinders, rotating disks, 3-D Mohr’s circles, energy and variational methods, buckling of various columns, common shell types, inelastic materials behavior, and more.

The text addresses the use of new materials in bridges, buildings, automobiles, submarines, ships, aircraft, and spacecraft. It offers significantly expanded coverage of stress concentration factors and contact stress developments. This book aims to help the reader Review fundamentals of statics, solids mechanics, stress, and modes of load transmission Master analysis and design principles through hands-on practice to illustrate their connections Understand plane stress, stress transformations, deformations, and strains Analyze a body’s load-carrying capacity based on strength, stiffness, and stability Learn and apply the theory of elasticity Explore failure criteria and material behavior under diverse conditions, and predict component deformation or buckling Solve problems related to beam bending, torsion of noncircular bars, and axisymmetrically loaded components, plates, or shells Use the numerical finite element method to economically solve complex problems Characterize the plastic behavior of materials Register your product for convenient access to downloads, updates, and/or corrections as they become available.

Nánar um bókina

Útgefandi
Pearson Technology Group
ISBN
9780134859361
Print ISBN
9780134859286
Format
ePub
Útgáfa
6
Höfundar
Ansel C. Ugural; Saul K. Fenster
Tungumál
English
Útgefið
2019-07-29
Prent takmörkun á líftíma
100
Prent takmörkun
2
Afritunar takmörkun
2

Kaflar

  • Cover Page
  • About This E-Book
  • Half Title
  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • Introduction
  • Organization of the Text
  • Supplements
  • 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 Plane-Stress Transformation
  • 1.10 Principal Stresses and Maximum In-Plane Shear Stress
  • 1.11 Mohr’s Circle for Two-Dimensional Stress
  • 1.12 Three-Dimensional 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 Stress-Strain 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 Saint-Venant’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 Two-Dimensional 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 Thin-Walled Sections
  • 6.9 Fluid Flow Analogy and Stress Concentration
  • 6.10 Torsion of Restrained Thin-Walled 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 Force-Displacement Relations for a Truss
  • 7.11 Beam Element
  • 7.12 Properties of Two-Dimensional 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. Thick-Walled Cylinders and Rotating Disks
  • 8.1 Introduction
  • 8.2 Thick-Walled 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 Semi-Infinite 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 Dummy-Load 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 Pin-Ended 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 Thick-Walled 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 Strain-Energy 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
  • A.1 Basic Method
  • Reference
  • Appendix B. Solution of the Stress Cubic Equation
  • B.1 Principal Stresses
  • Reference
  • Appendix C. Moments of Composite Areas
  • C.1 Centroid
  • C.2 Moments of Inertia
  • Reference
  • Appendix D. Tables and Charts
  • D.1 Charts of Stress Concentration Factors
  • References
  • Appendix E. Introduction to MATLAB
  • Answers to Selected Problems
  • Index
  • Code Snippets