Peterson's stress concentration factors

458 Pages·1997·17.621 MB·English

by  Walter D Pilkey, Rudolph Earl Peterson

PETERSON'S STRESS
CONCENTRATION
FACTORS
Second Edition
WALTER D. PILKEY
A Wiley-lnterscience Publication
JOHN WILEY & SONS, INC.
New York / Chichester / Weinheim / Brisbane / Singapore / Toronto
This text is printed on acid-free paper.
Copyright © 1997 by John Wiley & Sons, Inc.
All rights reserved. Published simultaneously in Canada.
Reproduction or translation of any part of this work beyond
that permitted by Section 107 or 108 of the 1976 United
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Library of Congress Cataloging in Publication Data:
Pilkey, Walter D.
Peterson's stress concentration factors / Walter D. Pilkey.—2nd ed.
p. cm.
Includes index.
ISBN 0-471-53849-3 (cloth : alk. paper)
1. Stress concentration. 2. Structural analysis (Engineering)
I. Title.
TA417.6.P43 1997
624.1/76—dc20 96-27514
Printed in the United States of America
10 9 8 7 6 5
To Mother
A Pillar of Stability
INDEX TO THE STRESS
CONCENTRATION FACTORS
CHAPTER 2
Shape of Section and Page
Form of Stress Stress Equation Chart Number
Raiser Load Case Raiser Number Number of Chart
Tension U-Shaped 2.3.1 2.2 82
Hyperbolic 2.3.6 2.8 88
Elliptical 2.3.1 2.2 82
Flat bottom 2.3.7 2.11 91
Bending Hyperbolic 2.6.5 2.29 109
Single notch in (in-plane)
semi-infinite
Bending V-shaped 2.7.1 2.36 117
thin element
(out-of-plane)
Flat bottom 2.7.1 2.36 117
Elliptical 2.7.1 2.37 118
Bending Semicircular 2.7.1 2.38 119
(out-of-plane)
Multiple notches
in semi-infinite
thin element
Tension Hyperbolic 2.3.1 2.1 81
Bending Hyperbolic 2.6.1 2.23 103
(in-plane)
Opposite notches
Bending Hyperbolic 2.7.1 2.35 116
in infinite thin
(out-of-plane)
element
Shear Hyperbolic 2.9.1 2.45 126
Tension U-Shaped 2.3.6 2.9 89
Flat bottom 2.3.8 2.14 94
Bending U-Shaped 2.6.5 2.30 110
Single notch in
(in-plane)
finite width thin V-Shaped 2.6.4 2.28 108
element
Various shaped 2.6.5 2.31 112
notches in
impact test
Semi-Elliptical 2.6.6 2.32 113
Shape of Section and Page
Form of Stress Stress Equation Chart Number
Raiser Load Case Raiser Number Number of Chart
Tension Semicircular 2.3.8 2.14 94
2.15 95
2.16 96
Multiple notches on
Bending Semi-Elliptical 2.6.6 2.32 113
one side of finite
(in-plane)
width thin element
Bending Semicircular 2.7.1 2.38 119
(out-of-plane)
Tension U-Shaped 2.3.3 2.4 84
Eq. (2.1) 2.5 85
2.6 86
2.53 134
Opposite single
notches in finite Semicircular 2.3.2 2.3 83
width thin element
V-Shaped 2.3.5 2.7 87
Flat bottom 2.3.7 2.10 90
Bending Semicircular 2.6.2 2.24 104
(in-plane)
U-Shaped 2.6.3 2.25 105
2.26 106
2.27 107
2.53 134
Flat bottom 2.6.7 2.33 114
Bending Arbitrary 2.7.2 2.39 120
(out-of-plane) shaped
Tension Semicircular 2.3.8 2.12 92
2.13 93
Opposite multiple
notches in finite
width thin element
Uniaxial Spherical 2.4.3 2.17 97
tension
Cylindrical
groove
Depressions in
opposite sides of
a thin element
Shape of Section and Page
Form of Stress Stress Equation Chart Number
Raiser Load Case Raiser Number Number of Chart
Uniaxial Hemispherical 2.4.1
tension
Hyperboloid 2.4.2
Depression in
the surface of a
semi-infinite body
Tension Hyperbolic 2.5.1 2.18 98
Bending Hyperbolic 2.8.1 2.40 121
Torsion Hyperbolic 2.9.2 2.46 127
Groove in
infinite medium
Tension U-Shaped 2.5.2 2.19 99
2.20 100
2.21 101
Circumferential
2.53 134
groove in shaft of
circular cross section Flat bottom 2.5.3 2.22 102
2.34 115
Bending U-Shaped 2.8.2 2.41 122
2.42 123
2.43 124
2.53 134
Flat bottom 2.6.7 2.34 115
2.8.3 2.44 125
Tension and Flat bottom 2.6.7 2.34 115
bending
Torsion U-Shaped 2.9.3 2.47 128
2.48 129
2.49 130
2.50 131
2.53 134
V-Shaped 2.9.4 2.51 132
Flat bottom 2.9.5 2.52 133
CHAPTER 3
Shape of Section and Page
Form of Stress Stress Equation Chart Number
Raiser Load Case Raiser Number Number of Chart
Tension Single 3.3.1 3.1 150
radius Eq. (3.1)
Tapered 3.3.4
Shoulder fillets in Bending Single radius 3.4.1 3.7 159
thin element
Elliptical 3.4.3 3.9 163
Tapered 3.3.4
Torsion Tapered 3.3.4
Tension Single radius 3.3.2 3.2 151
Trapezoidal 3.3.3 3.3 154
protuberance
Shoulder fillets
in thin element Bending Single radius 3.4.2 3.8 160
Tension Single radius 3.3.5 3.4 156
Bending Single radius 3.4.4 3.10 164
3.11 165
Shoulder fillet
in bar of circular Torsion Single radius 3.5.1 3.12 166
cross section 3.13 167
Compound 3.5.3 3.16 172
radius 3.17 174
Tension Single radius 3.3.6 3.5 157
Torsion Single radius 3.5.2 3.14 168
3.15 169
Shoulder fillet
in bar of circular
cross section with
axial hole
Internal Stepped 3.3.7 3.6 158
pressure ring
Stepped pressure
vessel
CHAPTER 4
Shape of Section and Page
Form of Stress Stress Equation Chart Number
Raiser Load Case Raiser Number Number of Chart
Uniaxial Circular 4.3.1
tension Eqs. (4.6), (4.7),
and (4.8)
Elliptical 4.4.1 4.50 319
Hole in infinite Eqs. (4.57)
thin element and (4.58)
Elliptical hole 4.5.12 4.50 319
with Inclusion 4.75 351
Circular hole 4.5.2 4.60 331
with opposite
semicircular
lobes
Rectangular 4.5.3 4.62a 333
4.5.4
Equilateral 4.5.6 4.65 340
triangular
Inclined 4.5.9 4.70 346
Internal Circular, 4.3.9,4.3.16,
pressure elliptical, and 4.4.5
other shapes Eqs. (4.41)
and (4.68)
Biaxial stress Circular 4.3.2
(in-plane) Eqs. (4.17)
and (4. 18)
Rectangular 4.5.3 4.62 333
Various 4.5.1 4.63 337
shapes 4.5.3
Equilateral 4.5.6 4.65 340
triangular
Elliptical 4.4.3 4.54 323
Eqs. (4.68), (4.69), 4.55 324
(4.70), (4.71)
Inclined 4.5.9 4.69 345
Bending Circular 4.6.4 4.82 358
(out-of-plane) Eqs. (4.103)
and (4. 104)
Elliptical 4.6.6 4.85 361
Eqs. (4.106)
and (4. 107)
Shear Circular or 4.7.1 4.88 364
Elliptical
Rectangular 4.7.2 4.90 366
Twist Circular 4.7.6 4.97 374