Peterson's Stress Concentration Factors,9780471538493

Peterson's Stress Concentration Factors

by ;
Edition: 2nd
ISBN13: 9780471538493
ISBN10: 0471538493
Format: Hardcover
Pub. Date: 1997-01-01
Publisher(s): Wiley-Interscience
List Price: $189.07

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Summary

A complete revision of the definitive work on the subject of stress concentration. This new edition updates all of the graphics with computer-generated art which incorporates both a visual representation of the product/structure under consideration along with the graph of the stress concentration factors. Contains extensive material on how to perform computer analyses for stress concentrations and how to design to reduce them. A "quick-finder" feature has been provided for locating frequently used charts.

Author Biography

WALTER D. PILKEY is the Frederick Morse Professor in the Department of Mechanical, Aerospace, and Nuclear Engineering at the University of Virginia and a leading authority in the areas of stress and strain in mechanical and civil engineering. He is the author of Formulas for Stress, Strain, and Structural Matrices, also available from Wiley.

Table of Contents

INDEX TO THE STRESS CONCENTRATION FACTORS xv(16)
PREFACE xxxi
1 DEFINITIONS AND DESIGN RELATIONS
1(58)
1.1 Notation
1(2)
1.2 Stress Concentration
3(7)
1.2.1 Selection of Nominal Stresses
6(3)
1.2.2 Accuracy of Stress Concentration Factors
9(1)
1.3 Stress Concentration as a Two-Dimensional Problem
10(1)
1.4 Stress Concentration as a Three-Dimensional Problem
11(2)
1.5 Plane and Axisymmetric Problems
13(2)
1.6 Local and Nonlocal Stress Concentration
15(6)
1.6.1 Examples of "Reasonable" Approximations
19(2)
1.7 Multiple Stress Concentration
21(3)
1.8 Theories of Strength and Failure
24(12)
1.8.1 Maximum Stress Criterion
25(1)
1.8.2 Mohr's Theory
26(2)
1.8.3 Maximum Shear Theory
28(1)
1.8.4 von Mises Criterion
28(2)
1.8.5 Observations on the Use of the Theories of Failure
30(2)
1.8.6 Stress Concentration Factors under Combined Loads, Principle of Superposition
32(4)
1.9 Notch Sensitivity
36(5)
1.10 Design Relations For Static Stress
41(3)
1.10.1 Ductile Materials
41(2)
1.10.2 Brittle Materials
43(1)
1.11 Design Relations for Alternating Stress
44(1)
1.11.1 Ductile Materials
44(1)
1.11.2 Brittle Materials
45(1)
1.12 Design Relations for Combined Alternating and Static Stresses
45(4)
1.12.1 Ductile Materials
46(3)
1.12.2 Brittle Materials
49(1)
1.13 Limited Number of Cycles of Alternating Stress
49(1)
1.14 Stress Concentration Factors and Stress Intensity Factors
50(5)
References
55(4)
2 NOTCHES AND GROOVES
59(76)
2.1 Notation
59(1)
2.2 Stress Concentration Factors
60(2)
2.3 Notches in Tension
62(5)
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
62(1)
2.3.2 Opposite Single Semicircular Notches in a Finite-Width Thin Element
63(1)
2.3.3 Opposite Single U-Shaped Notches in a Finite-Width Thin Element
63(1)
2.3.4 "Finite-Width Correction Factors" for Opposite Narrow Single Elliptical Notches in a Finite-Width Thin Element
64(1)
2.3.5 Opposite Single V-Shaped Notches in a Finite-Width Thin Element
65(1)
2.3.6 Single Notch on One Side of a Thin Element
65(1)
2.3.7 Notches with Flat Bottoms
65(1)
2.3.8 Multiple Notches in a Thin Element
66(1)
2.4 Depressions in Tension
67(2)
2.4.1 Hemispherical Depression (Pit) in the Surface of a Semi-infinite Body
67(1)
2.4.2 Hyperboloid Depression (Pit) in the Surface of a Finite-Thickness Element
67(2)
2.4.3 Opposite Shallow Spherical Depressions (Dimples) in a Thin Element
69(1)
2.5 Grooves in Tension
69(1)
2.5.1 Deep Hyperbolic Groove in an Infinite Member (Circular Net Section)
69(1)
2.5.2 U-Shaped Circumferential Grooves in a Bar of Circular Cross Section
69(1)
2.5.3 Flat-Bottom Grooves
70(1)
2.6 Bending of Thin Beams with Notches
70(2)
2.6.1 Opposite Deep Hyperbolic Notches in an Infinite Thin Element
70(1)
2.6.2 Opposite Semicircular Notches in a Flat Beam
70(1)
2.6.3 Opposite U-Shaped Notches in a Flat Beam
70(1)
2.6.4 V-Shaped Notches in a Flat Beam Element
70(1)
2.6.5 Notch on One Side of a Thin Beam
70(1)
2.6.6 Single or Multiple Notches with Semicircular or Semielliptical Notch Bottoms
71(1)
2.6.7 Notches with Flat Bottoms
71(1)
2.7 Bending of Plates with Notches
72(1)
2.7.1 Various Edge Notches in an Infinite Plate in Transverse Bending
72(1)
2.7.2 Notches in Finite-Width Plate in Transverse Bending
72(1)
2.8 Bending of Solids with Grooves
72(2)
2.8.1 Deep Hyperbolic Groove in an Infinite Member
72(1)
2.8.2 U-Shaped Circumferential Groove in a Bar of Circular Cross Section
72(1)
2.8.3 Flat-Bottom Grooves in Bars of Circular Cross Section
73(1)
2.9 Direct Shear and Torsion
74(2)
2.9.1 Deep Hyperbolic Notches in an Infinite Thin Element in Direct Shear
74(1)
2.9.2 Deep Hyperbolic Groove in an Infinite Member
74(1)
2.9.3 U-Shaped Circumferential Groove in a Bar of Circular Cross Section
74(2)
2.9.4 V-Shaped Circumferential Groove in a Bar of Circular Cross Section
76(1)
2.9.5 Shaft in Torsion with Grooves with Flat Bottoms
76(1)
2.10 Test Specimen Design for Maximum K(t) for a Given r/D or r/H
76(2)
References
78(2)
Charts
81(54)
3 SHOULDER FILLETS
135(40)
3.1 Notation
135(2)
3.2 Stress Concentration Factors
137(1)
3.3 Tension (Axial Loading)
137(6)
3.3.1 Opposite Shoulder Fillets in a Flat Bar
137(1)
3.3.2 Effect of Shoulder Geometry in a Flat Member
138(1)
3.3.3 Effect of a Trapezoidal Protuberance on the Edge of a Flat Bar
139(1)
3.3.4 Fillet of Noncircular Contour in a Flat Stepped Bar
139(3)
3.3.5 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet
142(1)
3.3.6 Tubes
142(1)
3.3.7 Stepped Pressure Vessel Wall with Shoulder Fillets
143(1)
3.4 Bending
143(1)
3.4.1 Opposite Shoulder Fillets in a Flat Bar
143(1)
3.4.2 Effect of Shoulder Geometry in a Flat Thin Member
143(1)
3.4.3 Elliptical Shoulder Fillet in a Flat Member
143(1)
3.4.4 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet
143(1)
3.5 Torsion
144(3)
3.5.1 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet
144(1)
3.5.2 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet and a Central Axial Hole
144(1)
3.5.3 Compound Fillet
145(2)
3.6 Methods of Reducing Stress Concentration at a Shoulder
147(1)
References
148(2)
Charts
150(25)
4 HOLES
175(202)
4.1 Notation
175(2)
4.2 Stress Concentration Factors
177(3)
4.3 Circular Holes with In-Plane Stresses
180(31)
4.3.1 Single Circular Hole in an Infinite Thin Element in Uniaxial Tension
180(4)
4.3.2 Single Circular Hole in an Infinite Thin Element under Biaxial In-plane Stresses
184(2)
4.3.3 Single Circular Hole in a Cylindrical Shell with Tension or Internal Pressure
186(2)
4.3.4 Circular or Elliptical Hole in a Spherical Shell with Internal Pressure
188(1)
4.3.5 Reinforced Hole Near the Edge of a Semi-infinite Element in Uniaxial Tension
188(2)
4.3.6 Symmetrically Reinforced Hole in Finite-Width Element in Uniaxial Tension
190(1)
4.3.7 Nonsymmetrically Reinforced Hole in Finite-Width Element in Uniaxial Tension
191(1)
4.3.8 Symmetrically Reinforced Circular Hole in a Biaxially Stressed Wide, Thin Element
192(7)
4.3.9 Circular Hole with Internal Pressure
199(1)
4.3.10 Two Circular Holes of Equal Diameter in a Thin Element in Uniaxial Tension or Biaxial In-plane Stresses
200(5)
4.3.11 Two Circular Holes of Unequal Diameter in a Thin Element in Uniaxial Tension or Biaxial In-plane Stresses
205(2)
4.3.12 Single Row of Equally Distributed Circular Holes in an Element in Tension
207(1)
4.3.13 Double Row of Circular Holes in a Thin Element in Uniaxial Tension
208(1)
4.3.14 Symmetrical Pattern of Circular Holes in a Thin Element in Uniaxial Tension or Biaxial In-plane Stresses
208(1)
4.3.15 Radially Stressed Circular Element with a Ring of Circular Holes, with or without a Central Circular Hole
209(1)
4.3.16 Thin Element with Circular Holes with Internal Pressure
210(1)
4.4 Elliptical Holes in Tension
211(14)
4.4.1 Single Elliptical Hole in Infinite-and Finite-Width Thin Elements in Uniaxial Tension
213(2)
4.4.2 Width Correction Factor for a Cracklike Central Slit in a Tension Panel
215(1)
4.4.3 Single Elliptical Hole in an Infinite, Thin Element Biaxially Stressed
215(9)
4.4.4 Infinite Row of Elliptical Holes in Infinite-and Finite-Width Thin Elements in Uniaxial Tension
224(1)
4.4.5 Elliptical Hole with Internal Pressure
224(1)
4.4.6 Elliptical Holes with Bead Reinforcement in an Infinite Thin Element under Uniaxial and Biaxial Stresses
225(1)
4.5 Various Configurations with In-Plane Stresses
225(13)
4.5.1 Thin Element with an Ovaloid; Two Holes Connected by a Slit under Tension; Equivalent Ellipse
225(1)
4.5.2 Circular Hole with Opposite Semicircular Lobes in a Thin Element in Tension
226(1)
4.5.3 Infinite Thin Element with a Rectangular Hole with Rounded Corners Subject to Uniaxial or Biaxial Stress
227(1)
4.5.4 Finite-Width Tension Thin Element with Round-Cornered Square Hole
228(1)
4.5.5 Square Holes with Rounded Corners and Bead Reinforcement in an Infinite Panel under Uniaxial and Biaxial Stresses
228(1)
4.5.6 Round-Cornered Equilateral Triangular Hole in an Infinite Thin Element under Various States of Tension
228(1)
4.5.7 Uniaxially Stressed Tube or Bar of Circular Cross Section with a Transverse Circular Hole
229(1)
4.5.8 Round Pin Joint in Tension
229(2)
4.5.9 Inclined Round Hole in an Infinite Panel Subjected to Various States of Tension
231(1)
4.5.10 Pressure Vessel Nozzle (Reinforced Cylindrical Opening)
232(1)
4.5.11 Spherical or Ellipsoidal Cavities
232(2)
4.5.12 Spherical or Ellipsoidal Inclusions
234(2)
4.5.13 Cylindrical Tunnel
236(1)
4.5.14 Intersecting Cylindrical Holes
236(2)
4.5.15 Other Configurations
238(1)
4.6 Bending
238(5)
4.6.1 Bending of a Beam with a Central Hole
239(1)
4.6.2 Bending of a Beam with a Circular Hole Displaced from the Center Line
240(1)
4.6.3 Bending of a Beam with an Elliptical Hole; Slot with Semicircular Ends (Ovaloid); or Round-Cornered Square Hole
240(1)
4.6.4 Bending of an Infinite- and of a Finite-Width Plate with a Single Circular Hole
240(1)
4.6.5 Bending of an Infinite Plate with a Row of Circular Holes
241(1)
4.6.6 Bending of an Infinite Plate with a Single Elliptical Hole
241(1)
4.6.7 Bending of an Infinite Plate with a Row of Elliptical Holes
242(1)
4.6.8 Tube or Bar of Circular Cross Section with a Transverse Hole
242(1)
4.7 Shear, Torsion
243(4)
4.7.1 Shear Stressing of Infinite Thin Element with Circular or Elliptical Hole, Unreinforced and Reinforced
243(1)
4.7.2 Shear Stressing of an Infinite Thin Element with a Round-Cornered Rectangular Hole, Unreinforced and Reinforced
244(1)
4.7.3 Two Circular Holes of Unequal Diameter in a Thin Element in Pure Shear
244(1)
4.7.4 Shear Stressing of an Infinite Thin Element with Two Circular Holes or a Row of Circular Holes
244(1)
4.7.5 Shear Stressing of an Infinite Thin Element with an Infinite Pattern of Circular Holes
244(1)
4.7.6 Twisted Infinite Plate with a Circular Hole
244(1)
4.7.7 Torsion of a Cylindrical Shell with a Circular Hole
245(1)
4.7.8 Torsion of a Tube or Bar of Circular Cross Section with a Transverse Circular Hole
245(2)
References
247(9)
Charts
256(121)
5 MISCELLANEOUS DESIGN ELEMENTS
377(64)
5.1 Notation
377(1)
5.2 Shaft with Keyseat
378(5)
5.2.1 Bending
379(1)
5.2.2 Torsion
380(1)
5.2.3 Torque Transmitted through a Key
380(1)
5.2.4 Combined Bending and Torsion
381(1)
5.2.5 Effect of Proximitiy of Keyseat to Shaft Shoulder Fillet
381(1)
5.2.6 Fatigue Failures
381(2)
5.3 Splined Shaft in Torsion
383(1)
5.4 Gear Teeth
383(2)
5.5 Press-Fitted or Shrink-Fitted Members
385(2)
5.6 Bolt and Nut
387(2)
5.7 Bolt Head, Turbine-Blade, or Compressor-Blade Fastening (T-Head)
389(2)
5.8 Lug Joint
391(3)
5.8.1 Lugs with h/d 0.5
392(1)
5.8.2 Lugs with h/d > 0.5
393(1)
5.9 Curved Bar
394(1)
5.10 Helical Spring
395(3)
5.10.1 Round or Square Wire Compression or Tension Spring
395(2)
5.10.2 Rectangular Wire Compression or Tension Spring
397(1)
5.10.3 Helical Torsion Spring
398(1)
5.11 Crankshaft
398(1)
5.12 Crane Hook
399(1)
5.13 U-Shaped Member
399(1)
5.14 Angle and Box Sections
400(1)
5.15 Rotating Disk with Hole
400(2)
5.16 Ring or Hollow Roller
402(1)
5.17 Pressurized Cylinder
402(1)
5.18 Cylindrical Pressure Vessel with Torispherical Ends
403(1)
5.19 Pressurized Thick Cylinder with a Circular Hole in the Cylinder Wall
403(1)
References
404(4)
Charts
408(33)
6 STRESS CONCENTRATION ANALYSIS AND DESIGN
441(60)
6.1 Computational Methods
441(4)
6.2 Finite Element Analysis
445(22)
6.2.1 Principle of Virtual Work
445(3)
6.2.2 Element Equations
448(2)
6.2.3 Shape Functions
450(4)
6.2.4 Mapping Functions
454(2)
6.2.5 Numerical Integration
455(2)
6.2.6 System Equations
457(3)
6.2.7 Stress Computation
460(7)
6.3 Design Sensitivity Analysis
467(17)
6.3.1 Finite Differences
468(1)
6.3.2 Discrete Systems
468(3)
6.3.3 Continuum Systems
471(3)
6.3.4 Stresses
474(1)
6.3.5 Structural Volume
474(1)
6.3.6 Design Velocity Field
475(9)
6.4 Design Modification
484(13)
6.4.1 Sequential Linear Programming
487(1)
6.4.2 Sequential Quadratic Programming
488(1)
6.4.3 Conservative Approximation
489(1)
6.4.4 Equality Constraints
490(1)
6.4.5 Minimum Weight Design
491(1)
6.4.6 Minimum Stress Design
492(5)
References
497(4)
INDEX 501

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