Advanced Strength and Applied Elasticity – Fourth Edition
Ansel C. Ugural
New Jersey Institute of Technology
Saul K. Fenster
New Jersey Institute of Technology
list of Symbols
Chapter 1 Analysis of Stress
Introduction
Scope of Treatment
Definition of Stress
Components of Stress:StressTensor
Some sperial Cases of Stress
Internal Force-Resultant and Stress Relations
Stresses on Inclined Planes in an Axially Loaded Member
Variation of Stress within a Brcly
Two-Dimensional Stress at a Point
Principal Stresses and Maximum Shear Stress InTwo Dimensions
Mohr’s Circle forTwo-Dimensional Stress
Three-Dimensional Stress at a Point
Principal Stresses in Three Dimensions
Normal and Shear Stresses on an Oblique Plane
Mohr’s Circle forTCreeDiraensional Stress
Boundary Conditions in Terms of Surface Forces
Problems
Chapter 2 Strain and Stress-Strain Relations
Introduction
Deformation
Strain Defined
Equations of Compatibility
State of Strain at a Point
Engineering Materials
Stress-Strain Diagrams
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-Venanfs Principle
Problems
Chapters ^vo-Dimensional Problems in Elasticity
3.1 Introduction
3 قFundamental Principles of Analysis
Part A— Formulation and Methods of Solution
3.3 Plane Strain Problems
3.4 Plane Stress Problems
3 قAiry’sStress Function
3.6 Solution of Elasticity Problems
3.7 Thermal Stresses
3.8 Basic Relations in Polar Coordinates
Part BStress 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
Chapter 4 Failure Criteria
4.1 Introduction
4.2 Failure
4 دFailure by Yielding
4.4 Failure by Fracture
4.5 Yeld and Fracture Criteria
4.6 Maximum Shearing Stress^eory
4.7 Maximum Distortion Energy Theory
4.8 Octahedral Shearing Stress Theory
4.9 Comparison of the YieldingTheories
4.19 Maximum Principal Stress Theory
4.11 Mohr’s Theoty
4.12 Coulomb-MohrYieory
ب4.13 Introductory Fracture Mechanics
4.14 Failure Criteria for Metal Fatigue
4.15 Fatigue Life under Combined Loading
4.16 Impact or Djmamicl^ads
4.17 Dynamic and Yiermal Effects
Problems
Chapters Bending of Beams
Introduction
Part A— Exact Solutions
Pure Bending of Beams of Symmetrical Cross Section
Pure Bending of Beams of Asymmetrical Cross Section
Bending of a Cantilever of Narrow Section
Bending of a Simply Supported, Narrow Beam
Part B— Approximate Solutions
Elementary^cory of Bending
Bending and Shearing Stresses
Effect of Transverse Normal Stress
5.9 Composite Beams
5.19 Shear Center
5.11 Statically Indeterminate Systems
5.12 Energy Method for Deflections
Part C— -Curved Beams
5.13 Exact Solution
Tangential Stress.Winkler’s TCcory
Combined Tangential and Normal Stresses
Problems
Chapters Torsion of Prismatic Bars
Introduction
62 ElementalTheory of Torsion of Circular Bars
General Solution of theTorsion Problem
Prandtls Stress Function
Prandtl’s Membrane Analogy
Torsion ofTOn-Walled Members of Gpen Cross Section
Torsion of Multiply Connected Thin-Walled Sections
Fluid Flow Analogy and Stress Concentration
Torsion of Restrained Thin-Walled Members of Open Cross Section
6.19 Curved Circular Bars: Helical Springs
Problems
Chapter 7 Numerical Methods
701 Introduction
7.2 Finite Differences
Finite Difference Equations
Curved Boundaries
Boundary Conditions
6 Finite Element Method
Properties of a Finite Element
Formulation of the Finite Element Method
7.9 Triangular Finite Element
7.10 Use of Digital Computers
Problems
Chapter 8 Axismmetrically Loaded Members
Introduction
Thick-Walled Cylinders
Maximum Tangential Stress
Application of Failure TCteories
Compound Cylinders
Rotating Disks of Constant TOckness
Rotating Disks ofVariableThickness
Rotating Disks of Uniform Stress
Thermal Stresses inTOn Disks
dermal Stress in Long Circular Cylinders
Finite Element Solution
Formulation of Axisjmrmetric Element
Problems
Chapter 9 Beams on Elastic Foundations
Introduction
Generalraeory
Infinite Beams
Semi-Infinite Beams
Finite Beams: Clarification of Beams
Beams Supported by Equally spaced Elastic Elements
Simplified Solutions for Relatively Stiff Beams
Solution by Finite Differences
Applications
Problems
Chapter 10 Ener^Methods
10.1 Introduction
10.2 Work Done in Defamation
10.3 Reciprocityl^eorem
10.4 Castigliano’sTheorem
10 وUnit or Dummy Load Method
10.6 Crotti-Engesser Theorem
10.7 Statically Indeterminate Systems
10.8 Principle Of Virteal Work
10.9 Principle of Minimum Potential Energy
10.10 Application of Trigonometric Series
10.11 Rayleigh-Ritz Method ‘
– Problems
Chapter 11 Elastic Stability
Bucklingof a Column
11.4 End Conditions
Initially Curved Members
ولاEccentrically leaded 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
Introduction
Critical Load
Critical Stress in a Column
Allowable Stress
Chapter 12 Plastic Behavior of Materials
12.1 Introduction
12 تPlastic Deformation
True Stress-True Strain Curve in SimpleTension
12.4 Instability in Simple Tension
12 وPlastic Deflection of Beams
12.6 Analysis of Perfectly Plastic Beams
12.7 Collapse Load of Structures
Elastic-PlasticTorsion
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 T10ick-Walled Cylinders
Problems
Chapter 13 Plates and Shells
Part A-Bending of Thin Plates
Basic Assumptions
Strain-Curvature Relations
Stress
,Curvature, and Moment Relations
Governing Equations of Plate Deflection
Boundary Conditions
Simply Axisymmetrically Sup^rted Loaded Rectangular Circular Plates Plates
Deflections of Rectangular Plates by the Strain Energy Method
Finite Element Solution
Part^Membrane Stresses in Thin Shells
Basic Assumptions
Simple Membrane Action
Symmetrically Loaded Shells of Revolution
13.13 Some Common Cases of Shells of Revolution
13.14 Cylindrical Shells of General Shape
Problems
Appendix A Indicia! Notation
Appendix B Solution of the Stress Cubic Equation
B.1 Principal Stresses
Direction Cosines
Appendix c Moments of Composite Areas
Centtoid
C.2 Moments of Inertia
C3 Parallel-AxisTheorem
C.4 Principal Moments of Inertia
Appendix D Tables
Average Properties of Common Engineering Materials
Conversion Factors:SI Units to US. Customary Units
D3 SI Unit Prefixes
D.4 Deflections and Slopes of Beams
References
Answers to Selected Problems
Index
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