The bible of stress concentration factors-updated to reflect today's advances in stress analysis
This book establishes and maintains a system of data classification for all the applications of stress and strain analysis, and expedites their synthesis into CAD applications. Filled with all of the latest developments in stress and strain analysis, this Fourth Edition presents stress concentration factors both graphically and with formulas, and the illustrated index allows readers to identify structures and shapes of interest based on the geometry and loading of the location of a stress concentration factor.
Peterson's Stress Concentration Factors, Fourth Edition includes a thorough introduction of the theory and methods for static and fatigue design, quantification of stress and strain, research on stress concentration factors for weld joints and composite materials, and a new introduction to the systematic stress analysis approach using Finite Element Analysis (FEA). From notches and grooves to shoulder fillets and holes, readers will learn everything they need to know about stress concentration in one single volume.
Peterson's is the practitioner's go-to stress concentration factors reference
Includes completely revised introductory chapters on fundamentals of stress analysis; miscellaneous design elements; finite element analysis (FEA) for stress analysis
Features new research on stress concentration factors related to weld joints and composite materials
Takes a deep dive into the theory and methods for material characterization, quantification and analysis methods of stress and strain, and static and fatigue design
Peterson's Stress Concentration Factors is an excellent book for all mechanical, civil, and structural engineers, and for all engineering students and researchers.
Index to the Stress Concentration Factors xvii
Preface for the Fourth Edition XXX
Preface for the Third Edition xxxiii
Preface for the Second Edition xxxv
Chapter 1 Fundamentals of Stress Analysis
1.1 Stress Analysis in Product Design
1.2 Solid Objects Under Loads
1.3 Types of Materials
1.4 Materials Properties and Testing
1.4.1 Tensile and Compression Tests
1.4.2 Hardness Tests
1.4.3 Shear Tests
1.4.4 Fatigue Tests
1.4.5 Impact Tests
1.5 Static and Fatigue Failures
1.6 Uncertainties, Safety Factors, and Probabilities
1.7 Stress Analysis of Mechanical Structures
1.7.1 Procedure of Stress Analysis
1.7.2 Geometric Discontinuities of Solids
1.7.3 Load Types
1.7.4 Stress and Representation
1.7.4.1 Simple Stress
1.7.4.2 General Stresses
1.7.4.3 Principal Stresses and Directions
1.8 Failure Criteria of Materials
1.8.1 Maximum Shear Stress (MSS) Theory
1.8.2 Distortion Energy (DE) Theory
1.8.3 Maximum Normal Stress (MNS) Theory
1.8.4 Ductile and Brittle Coulomb-Mohr (CM) Theory
1.8.5 Modified-Mohr (MM) Theory
1.8.6 Guides for Selection of Failure Criteria
1.9 Stress Concentration
1.9.1 Selection of Nominal Stresses as Reference
1.9.2 Accuracy of Stress Concentration Factors
1.9.3 Decay of Stress away from the Peak Stress
1.10 Stress Concentration as a Two-Dimensional Problem
1.11 Stress Concentration as a Three-Dimensional Problem
1.12 Plane and Axisymmetric Problems
1.13 Local and Nonlocal Stress Concentration
1.14 Multiple Stress Concentration
1.15 Principle of Superposition for Combined Loads
1.16 Notch Sensitivity
1.17 Design Relations for Static Stress
1.17.1 Ductile Materials
1.17.2 Brittle Materials
1.18 Design Relations for Alternating Stress
1.18.1 Ductile Materials
1.18.2 Brittle Materials
1.19 Design Relations for Combined Alternating and Static Stresses
1.19.1 Ductile Materials
1.19.2 Brittle Materials
1.20 Limited Number of Cycles of Alternating Stress
1.21 Stress Concentration Factors and Stress Intensity Factors
1.22 Selection of Safety Factors
References
Chapter 2 Notches and Grooves
2.1 Notation
2.2 Stress Concentration Factors
2.3 Notches in Tension
2.3.1 Opposite Deep Hyperbolic Notches in an Infinite Thin Element; Shallow Elliptical, Semicircular, U-Shaped, or Keyhole-Shaped Notches in Semi-Infinite Thin Elements; Equivalent Elliptical Notch
2.3.2 Opposite Single Semicircular Notches in a Finite-Width Thin Element
2.3.3 Opposite Single U-Shaped Notches in a Finite-Width Thin Element
2.3.4 Finite-Width Correction Factors for Opposite Narrow Single Elliptical Notches in a Finite-Width Thin Element
2.3.5 Opposite Single V-Shaped Notches in a Finite-Width Thin Element
2.3.6 Single Notch on One Side of a Thin Element
2.3.7 Notches with Flat Bottoms
2.3.8 Multiple Notches in a Thin Element
2.3.9 Analytical Solutions for Stress Concentration Factors for Notched Bars
2.4 Depressions in Tension
2.4.1 Hemispherical Depression (Pit) in the Surface of a Semi-Infinite Body
2.4.2 Hyperboloid Depression (Pit) in the Surface of a Finite-Thickness Element
2.4.3 Opposite Shallow Spherical Depressions (Dimples) in a Thin Element
2.5 Grooves in Tension
2.5.1 Deep Hyperbolic Groove in an Infinite Member (Circular Net Section)
2.5.2 U-Shaped Circumferential Groove in a Bar of Circular Cross Section
2.5.3 Flat-Bottom Grooves
2.5.4 Closed-Form Solutions for Grooves in Bars of Circular Cross Section
2.6 Bending of Thin Beams with Notches
2.6.1 Opposite Deep Hyperbolic Notches in an Infinite Thin Element
2.6.2 Opposite Semicircular Notches in a Flat Beam
2.6.3 Opposite U-Shaped Notches in a Flat Beam
2.6.4 V-Shaped Notches in a Flat Beam Element
2.6.5 Notch on One Side of a Thin Beam
2.6.6 Single or Multiple Notches with Semicircular or Semielliptical Notch Bottoms
2.6.7 Notches with Flat Bottoms
2.6.8 Closed-Form Solutions for Stress Concentration Factors for Notched Beams
2.7 Bending of Plates with Notches
2.7.1 Various Edge Notches in an Infinite Plate in Transverse Bending
2.7.2 Notches in a Finite-Width Plate in Transverse Bending
2.8 Bending of Solids with Grooves
2.8.1 Deep Hyperbolic Groove in an Infinite Member
2.8.2 U-Shaped Circumferential Groove in a Bar of Circular Cross Section
2.8.3 Flat-Bottom Grooves in Bars of Circular Cross Section
2.8.4 Closed-Form Solutions for Grooves in Bars of Circular Cross Section
2.9 Direct Shear and Torsion
2.9.1 Deep Hyperbolic Notches in an Infinite Thin Element in Direct Shear
2.9.2 Deep Hyperbolic Groove in an Infinite Member
2.9.3 U-Shaped Circumferential Groove in a Bar of Circular Cross Section Subject to Torsion
2.9.4 V-Shaped Circumferential Groove in a Bar of Circular Cross Section Under Torsion
2.9.5 Shaft in Torsion with Grooves with Flat Bottoms
2.9.6 Closed-Form Formulas for Grooves in Bars of Circular Cross Section Under Torsion
2.10 Test Specimen Design for Maximum Kt for a Given r/D or r/H
References
Charts
Chapter 3 Shoulder Fillets
3.1 Notation
3.2 Stress Concentration Factors
3.3 Tension (Axial Loading)
3.3.1 Opposite Shoulder Fillets in a Flat Bar
3.3.2 Effect of Length of Element
3.3.3 Effect of Shoulder Geometry in a Flat Member
3.3.4 Effect of a Trapezoidal Protuberance on the Edge of a Flat Bar
3.3.5 Fillet of Noncircular Contour in a Flat Stepped Bar
3.3.6 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet
3.3.7 Tubes
3.3.8 Stepped Pressure Vessel Wall with Shoulder Fillets
3.4 Bending
3.4.1 Opposite Shoulder Fillets in a Flat Bar
3.4.2 Effect of Shoulder Geometry in a Flat Thin Member
3.4.3 Elliptical Shoulder Fillet in a Flat Member
3.4.4 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet
3.5 Torsion
3.5.1 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet
3.5.2 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet and a Central Axial Hole
3.5.3 Compound Fillet
3.6 Methods of Reducing Stress Concentration at a Shoulder
References
Charts
Chapter 4 Holes
4.1 Notation
4.2 Stress Concentration Factors
4.3 Circular Holes with In-Plane Stresses
4.3.1 Single Circular Hole in an Infinite Thin Element in Uniaxial Tension
4.3.2 Single Circular Hole in a Semi-Infinite Element in Uniaxial Tension
4.3.3 Single Circular Hole in a Finite-Width Element in Uniaxial Tension
4.3.4 Effect of Length of Element
4.3.5 Single Circular Hole in an Infinite Thin Element under Biaxial In-Plane Stresses
4.3.6 Single Circular Hole in a Cylindrical Shell with Tension or Internal Pressure
4.3.7 Circular or Elliptical Hole in a Spherical Shell with Internal Pressure
4.3.8 Reinforced Hole near the Edge of a Semi-Infinite Element in Uniaxial Tension
4.3.9 Symmetrically Reinforced Hole in a Finite-Width Element in Uniaxial Tension
4.3.10 Nonsymmetrically Reinforced Hole in a Finite-Width Element in Uniaxial Tension
4.3.11 Symmetrically Reinforced Circular Hole in a Biaxially Stressed Wide, Thin Element
4.3.12 Circular Hole with Internal Pressure
4.3.13 Two Circular Holes of Equal Diameter in a Thin Element in Uniaxial Tension or Biaxial In-Plane Stresses
4.3.14 Two Circular Holes of Unequal Diameter in a Thin Element in Uniaxial Tension or Biaxial In-Plane Stresses
4.3.15 Single Row of Equally Distributed Circular Holes in an Element in Tension
4.3.16 Double Row of Circular Holes in a Thin Element in Uniaxial Tension
4.3.17 Symmetrical Pattern of Circular Holes in a Thin Element in Uniaxial Tension or Biaxial In-Plane Stresses
4.3.18 Radially Stressed Circular Element with a Ring of Circular Holes, with or without a Central Circular Hole
4.3.19 Thin Element with Circular Holes with Internal Pressure
4.4 Elliptical Holes in Tension
4.4.1 Single Elliptical Hole in Infinite- and Finite-Width Thin Elements in Uniaxial Tension
4.4.2 Width Correction Factor for a Cracklike Central Slit in a Tension Panel
4.4.3 Single Elliptical Hole in an Infinite, Thin Element Biaxially Stressed
4.4.4 Infinite Row of Elliptical Holes in Infinite- and Finite-Width Thin Elements in Uniaxial Tension
4.4.5 Elliptical Hole with Internal Pressure
4.4.6 Elliptical Holes with Bead Reinforcement in an Infinite Thin Element under Uniaxial and Biaxial Stresses
4.5 Various Configurations with In-Plane Stresses
4.5.1 Thin Element with an Ovaloid; Two Holes Connected by a Slit under Tension; Equivalent Ellipse
4.5.2 Circular Hole with Opposite Semicircular Lobes in a Thin Element in Tension
4.5.3 Infinite Thin Element with a Rectangular Hole with Rounded Corners Subject to Uniaxial or Biaxial Stress
4.5.4 Finite-Width Tension Thin Element with Round-Cornered Square Hole
4.5.5 Square Holes with Rounded Corners and Bead Reinforcement in an Infinite Panel under Uniaxial and Biaxial Stresses
4.5.6 Round-Cornered Equilateral Triangular Hole in an Infinite Thin Element under Various States of Tension
4.5.7 Uniaxially Stressed Tube or Bar of Circular Cross Section with a Transverse Circular Hole
4.5.8 Round Pin Joint in Tension
4.5.9 Inclined Round Hole in an Infinite Panel Subjected to Various States of Tension
4.5.10 Pressure Vessel Nozzle (Reinforced Cylindrical Opening)
4.5.11 Spherical or Ellipsoidal Cavities
4.5.12 Spherical or Ellipsoidal Inclusions
4.6 Holes in Thick Elements
4.6.1 Countersunk Holes
4.6.2 Cylindrical Tunnel
4.6.3 Intersecting Cylindrical Holes
4.6.4 Rotating Disk with a Hole
4.6.5 Ring or Hollow Roller
4.6.6 Pressurized Cylinder
4.6.7 Pressurized Hollow Thick Cylinder with a Circular Hole in the Cylinder Wall
4.6.8 Pressurized Hollow Thick Square Block with a Circular Hole in the Wall
4.6.9 Other Configurations
4.7 Orthotropic Thin Members
4.7.1 Orthotropic Panel with an Elliptical Hole
4.7.2 Orthotropic Panel with a Circular Hole
4.7.3 Orthotropic Panel with a Crack
4.7.4 Isotropic Panel with an Elliptical Hole
4.7.5 Isotropic Panel with a Circular Hole
4.7.6 More Accurate Theory for a/b < 4
4.8 Bending
4.8.1 Bending of a Beam with a Central Hole
4.8.2 Bending of a Beam with a Circular Hole Displaced from the Center Line
4.8.3 Curved Beams with Circular Holes
4.8.4 Bending of a Beam with an Elliptical Hole; Slot with Semicircular Ends (Ovaloid); or Round-Cornered Square Hole
4.8.5 Bending of an Infinite- and a Finite-Width Plate with a Single Circular Hole
4.8.6 Bending of an Infinite Plate with a Row of Circular Holes
4.8.7 Bending of an Infinite Plate with a Single Elliptical Hole
4.8.8 Bending of an Infinite Plate with a Row of Elliptical Holes
4.8.9 Tube or Bar of Circular Cross Section with a Transverse Hole
4.9 Shear and Torsion
4.9.1 Shear Stressing of an Infinite Thin Element with Circular or Elliptical Hole, Unreinforced and Reinforced
4.9.2 Shear Stressing of an Infinite Thin Element with a Round-Cornered Rectangular Hole, Unreinforced and Reinforced
4.9.3 Two Circular Holes of Unequal Diameter in a Thin Element in Pure Shear
4.9.4 Shear Stressing of an Infinite Thin Element with Two Circular Holes or a Row of Circular Holes
4.9.5 Shear Stressing of an Infinite Thin Element with an Infinite Pattern of Circular Holes
4.9.6 Twisted Infinite Plate with a Circular Hole
4.9.7 Torsion of a Cylindrical Shell with a Circular Hole
4.9.8 Torsion of a Tube or Bar of Circular Cross Section with a Transverse Circular Hole
References
Charts
Chapter 5 Miscellaneous Design Elements
5.1 Notation
5.2 Shaft with Keyseat
5.2.1 Bending
5.2.2 Torsion
5.2.3 Torque Transmitted Through a Key
5.2.4 Combined Bending and Torsion
5.2.5 Effect of Proximity of Keyseat to Shaft Shoulder Fillet
5.2.6 Fatigue Failures
5.3 Splined Shaft in Torsion
5.4 Gear Teeth
5.5 Press- or Shrink-Fitted Members
5.6 Bolt and Nut
5.7 Bolt Head, Turbine-Blade, or Compressor-Blade Fastening (T-Head)
5.8 Lug Joint
5.8.1 Lugs with
5.8.2 Lugs with
5.9 Curved Bar
5.10 Helical Spring
5.10.1 Round or Square Wire Compression or Tension Spring
5.10.2 Rectangular Wire Compression or Tension Spring
5.10.3 Helical Torsion Spring
5.11 Crankshaft
5.12 Crane Hook
5.13 U-Shaped Member
5.14 Angle and Box Sections
5.15 Cylindrical Pressure Vessel with Torispherical Ends
5.16 Welds
5.17 Parts with Inhomogeneous Materials or Composites5.18 Parts with Defects
5.19 Parts with Threads
5.20 Frame Stiffeners
5.21 Discontinuities with Additional Considerations
5.22 Pharmaceutical Tablets with Holes
5.23 Parts with Residual Stresses
5.24 Surface Roughness
5.25 New Approaches for Parametric Studies
References
Charts
Chapter 6 Finite Element Analysis (FEA) for Stress Analysis
6.1 Structural Analysis Problems
6.2 Types of Engineering Analysis Methods
6.3 Structural Analysis Theory
6.3.1 Trusses and Frame Structures
6.3.2 Plane Stresses and Strain Problems
6.3.3 Modal Analysis
6.3.4 Fatigue Analysis
6.4 Finite Element Analysis (FEA) for Structural Analysis
6.4.1 CAD/CAE Interface
6.4.2 Materials Library
6.4.3 Meshing Tool
6.4.4 Analysis Types
6.4.5 Tools for Boundary Conditions
6.4.6 Solvers to FEA Models
6.4.7 Postprocessing
6.5 Planning V&V in FEA Modeling
6.5.1 Sources of Errors
6.5.2 Verification
6.6 Finite Element Analysis for Verification of Structural Analysis
6.7 FEA for Stress Analysis of Assembly Models
6.8 Parametric Study for Stress Analysis
6.9 FEA on Study of Stress Concentration Factors
References
Index
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