كتاب Advanced Strength and Applied Elasticity 4th Edition

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Advanced Strength and Applied Elasticity 4th Edition

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Chapter 1. Analysis of Stress
1.1. Introduction
1.2. Scope of Treatment
1.3. Definition of Stress
1.4. Components of Stress: Stress Tensor
1.5. Some Special Cases of Stress
1.6. Internal Force-Resultant and Stress Relations
1.7. Stresses on Inclined Planes in an Axially Loaded Member
1.8. Variation of Stress within a Body
1.9. Two-Dimensional Stress at a Point
1.10. Principal Stresses and Maximum Shear Stress in Two Dimensions
1.11. Mohr’s Circle for Two-Dimensional Stress
1.12. Three-Dimensional Stress at a Point
1.13. Principal Stresses in Three Dimensions
1.14. Normal and Shear Stresses on an Oblique Plane
1.15. Mohr’s Circle for Three-Dimensional Stress
1.16. Boundary Conditions in Terms of Surface Forces
Problems
1 TokenChapter 2. Strain and Stress–Strain Relations
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. Hooke’s Law and Poisson’s Ratio
2.9. Generalized Hooke’s Law
2.10. Measurement of Strain: Bonded Strain Gages
2.11. Strain Energy
2.12. Strain Energy in Common Structural Members
2.13. Components of Strain Energy
2.14. Saint-Venant’s Principle
Problems
Chapter 3. Two-Dimensional 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. Airy’s Stress Function
3.6. Solution of Elasticity Problems
3.7. Thermal Stresses
3.8. Basic Relations in Polar Coordinates
Part B—Stress Concentrations
3.9. Stresses Due to Concentrated Loads
3.10. Stress Distribution Near Concentrated Load Acting on a Beam
3.11. Stress Concentration Factors
3.12. Neuber’s Diagram
3.13. Contact Stresses
Problems
1 TokenChapter 4. Failure Criteria
4.1. Introduction
4.2. Failure
4.3. Failure by Yielding
4.4. Failure by Fracture
4.5. Yield and Fracture Criteria
4.6. Maximum Shearing Stress Theory
4.7. Maximum Distortion Energy Theory
4.8. Octahedral Shearing Stress Theory
4.9. Comparison of the Yielding Theories
4.10. Maximum Principal Stress Theory
4.11. Mohr’s Theory
4.12. Coulomb-Mohr Theory
4.13. Introductory Fracture Mechanics
4.14. Failure Criteria for Metal Fatigue
4.15. Fatigue Life under Combined Loading
4.16. Impact or Dynamic Loads
4.17. Dynamic and Thermal Effects
Problems
1 TokenChapter 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. Bending and Shear Stress
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. Exact Solution
5.14. Tangential Stress. Winkler’s Theory
5.15. Combined Tangential and Normal Stresses
Problems
1 TokenChapter 6. Torsion of Prismatic Bars
6.1. Introduction
6.2. Elementary Theory of Torsion of Circular Bars
6.3. General Solution of the Torsion Problem
6.4. Prandtl’s Stress Function
6.5. Prandtl’s Membrane Analogy
6.6. Torsion of Thin-Walled Members of Open Cross Section
6.7. Torsion of Multiply Connected Thin-Walled Sections
6.8. Fluid Flow Analogy and Stress Concentration
6.9. Torsion of Restrained Thin-Walled Members of Open Cross Section
6.10. Curved Circular Bars: Helical Springs
Problems
1 TokenChapter 7. Numerical Methods
7.1. Introduction
7.2. Finite Differences
7.3. Finite Difference Equations
7.4. Curved Boundaries
7.5. Boundary Conditions
7.6. Finite Element Method
7.7. Properties of a Finite Element
7.8. Formulation of the Finite Element Method
7.9. Triangular Finite Element
7.10. Use of Digital Computers
Problems
1 TokenChapter 8. Axisymmetrically Loaded Members
8.1. Introduction
8.2. Thick-Walled Cylinders
8.3. Maximum Tangential Stress
8.4. Application of Failure Theories
8.5. Compound Cylinders
8.6. Rotating Disks of Constant Thickness
8.7. Rotating Disks of Variable Thickness
8.8. Rotating Disks of Uniform Stress
8.9. Thermal Stresses in Thin Disks
8.10. Thermal Stress in Long Circular Cylinders
8.11. Finite Element Solution
8.12. Formulation of Axisymmetric Element
Problems
1 TokenChapter 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: Classification of Beams
9.6. Beams Supported by Equally Spaced Elastic Elements
9.7. Simplified Solutions for Relatively Stiff Beams
9.8. Solution by Finite Differences
9.9. Applications
Problems
1 TokenChapter 10. Energy Methods
10.1. Introduction
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
10.8. Principle of Virtual Work
10.9. Principle of Minimum Potential Energy
10.10. Application of Trigonometric Series
10.11. Rayleigh-Ritz Method
Problems
1 TokenChapter 11. Elastic Stability
11.1. Introduction
11.2. Critical Load
11.3. Buckling of a Column
11.4. End Conditions
11.5. Critical Stress in a Column
11.6. Allowable Stress
11.7. Initially Curved Members
11.8. Eccentrically Loaded Columns: Secant Formula
11.9. Energy Methods Applied to Buckling
11.10. Solution by Finite Differences
11.11. Finite Difference Solution for Unevenly Spaced Nodes
Problems
1 TokenChapter 12. Plastic Behavior of Materials
12.1. Introduction
12.2. Plastic Deformation
12.3. True Stress-True Strain Curve in Simple Tension
12.4. Instability in Simple Tension
12.5. Plastic Deflection of Beams
12.6. Analysis of Perfectly Plastic Beams
12.7. Collapse Load of Structures
12.8. Elastic-Plastic Torsion
12.9. Elastic-Plastic Stresses in Rotating Disks
12.10. Plastic Stress–Strain Relations
12.11. Plastic Stress-Strain Increment Relations
12.12. Stresses in Perfectly Plastic Thick-Walled Cylinders
Problems
1 TokenChapter 13. Plates and Shells
Part A—Bending of Thin Plates
13.1. Basic Assumptions
13.2. Strain-Curvature Relations
13.3. Stress, Curvature, and Moment Relations
13.4. Governing Equations of Plate Deflection
13.5. Boundary Conditions
13.6. Simply Supported Rectangular Plates
13.7. Axisymmetrically Loaded Circular Plates
13.8. Deflections of Rectangular Plates by the Strain Energy Method
13.9. Finite Element Solution
Part B—Membrane Stresses in Thin Shells
13.10. Basic Assumptions
13.11. Simple Membrane Action
13.12. Symmetrically Loaded Shells of Revolution
13.13. Some Common Cases of Shells of Revolution
13.14. Cylindrical Shells of General Shape
Problems
B.1. Principal Stresses
B.2. Direction Cosines

1 TokenAppendix C. Moments of Composite Areas
C.1. Centroid
C.2. Moments of Inertia
C.3. Parallel-Axis Theorem
C.4. Principal Moments of Inertia

Chapter 1 Analysis of Stress
Chapter 2 Stress and Stress–Strain Relations
Chapter 3 Two-Dimensional Problems in Elasticity
Chapter 4 Failure Criteria
Chapter 5 Bending of Beams
Chapter 6 Torsion of Bars
Chapter 7 Numerical Methods
Chapter 8 Axisymmetrically Loaded Members
Chapter 9 Beams on Elastic Foundations
Chapter 10 Energy Methods
Chapter 11 Elastic Stability
Chapter 12 Plastic Behavior of Materials
Chapter 13 Plates and Shells
Index

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كتاب Advanced Strength and Applied Elasticity 4th Edition 761752

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