Index To The Stress Concentration Factors |
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xv | |
Preface For The Fourth Edition |
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xxxi | |
Preface For The Third Edition |
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xxxiii | |
Preface For The Second Edition |
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xxxv | |
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1 Fundamentals Of Stress Analysis |
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1 | (88) |
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1.1 Stress Analysis in Product Design |
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2 | (2) |
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1.2 Solid Objects Under Loads |
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4 | (2) |
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6 | (1) |
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1.4 Materials Properties and Testing |
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7 | (10) |
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1.4.1 Tensile and Compression Tests |
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8 | (1) |
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8 | (5) |
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13 | (1) |
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14 | (2) |
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16 | (1) |
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1.5 Static and Fatigue Failures |
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17 | (2) |
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1.6 Uncertainties, Safety Factors, and Probabilities |
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19 | (2) |
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1.7 Stress Analysis of Mechanical Structures |
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21 | (9) |
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1.7.1 Procedure of Stress Analysis |
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21 | (1) |
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1.7.2 Geometric Discontinuities of Solids |
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21 | (2) |
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23 | (1) |
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1.7.4 Stress and Representation |
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24 | (2) |
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26 | (1) |
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26 | (1) |
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1.7.4.3 Principal Stresses and Directions |
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27 | (3) |
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1.8 Failure Criteria of Materials |
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30 | (9) |
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1.8.1 Maximum Shear Stress (MSS) Theory |
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30 | (2) |
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1.8.2 Distortion Energy (DE) Theory |
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32 | (2) |
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1.8.3 Maximum Normal Stress (MNS) Theory |
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34 | (2) |
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1.8.4 Ductile and Brittle Coulomb-Mohr (CM) Theory |
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36 | (1) |
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1.8.5 Modified-Mohr (MM) Theory |
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37 | (1) |
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1.8.6 Guides for Selection of Failure Criteria |
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37 | (2) |
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39 | (7) |
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1.9.1 Selection of Nominal Stresses as Reference |
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42 | (3) |
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1.9.2 Accuracy of Stress Concentration Factors |
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45 | (1) |
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1.9.3 Decay of Stress away from the Peak Stress |
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46 | (1) |
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1.10 Stress Concentration as a Two-Dimensional Problem |
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46 | (1) |
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1.11 Stress Concentration as a Three-Dimensional Problem |
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47 | (2) |
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1.12 Plane and Axisyrnmetric Problems |
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49 | (3) |
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1.13 Local and Nonlocal Stress Concentration |
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52 | (5) |
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1.14 Multiple Stress Concentration |
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57 | (4) |
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1.15 Principle of Superposition for Combined Loads |
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61 | (3) |
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64 | (5) |
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1.17 Design Relations for Static Stress |
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69 | (3) |
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69 | (2) |
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71 | (1) |
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1.18 Design Relations for Alternating Stress |
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72 | (2) |
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72 | (1) |
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73 | (1) |
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1.19 Design Relations for Combined Alternating and Static Stresses |
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74 | (4) |
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74 | (3) |
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77 | (1) |
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1.20 Limited Number of Cycles of Alternating Stress |
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78 | (1) |
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1.21 Stress Concentration Factors and Stress Intensity Factors |
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79 | (4) |
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1.22 Selection of Safety Factors |
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83 | (2) |
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85 | (4) |
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89 | (78) |
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89 | (1) |
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2.2 Stress Concentration Factors |
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90 | (2) |
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92 | (6) |
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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 |
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92 | (2) |
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2.3.2 Opposite Single Semicircular Notches in a Finite-Width Thin Element |
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94 | (1) |
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2.3.3 Opposite Single U-Shaped Notches in a Finite-Width Thin Element |
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94 | (1) |
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2.3.4 Finite-Width Correction Factors for Opposite Narrow Single Elliptical Notches in a Finite-Width Thin Element |
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95 | (1) |
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2.3.5 Opposite Single V-Shaped Notches in a Finite-Width Thin Element |
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95 | (1) |
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2.3.6 Single Notch on One Side of a Thin Element |
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96 | (1) |
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2.3.7 Notches with Flat Bottoms |
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96 | (1) |
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2.3.8 Multiple Notches in a Thin Element |
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96 | (2) |
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2.3.9 Analytical Solutions for Stress Concentration Factors for Notched Bars |
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98 | (1) |
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2.4 Depressions in Tension |
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98 | (2) |
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2.4.1 Hemispherical Depression (Pit) in the Surface of a Semi-Infinite Body |
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98 | (1) |
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2.4.2 Hyperboloid Depression (Pit) in the Surface of a Finite-Thickness Element |
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98 | (1) |
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2.4.3 Opposite Shallow Spherical Depressions (Dimples) in a Thin Element |
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99 | (1) |
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100 | (1) |
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2.5.1 Deep Hyperbolic Groove in an Infinite Member (Circular Net Section) |
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100 | (1) |
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2.5.2 U-Shaped Circumferential Groove in a Bar of Circular Cross Section |
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100 | (1) |
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2.5.3 Flat-Bottom Grooves |
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100 | (1) |
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2.5.4 Closed-Form Solutions for Grooves in Bars of Circular Cross Section |
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100 | (1) |
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2.6 Bending of Thin Beams with Notches |
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101 | (2) |
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2.6.1 Opposite Deep Hyperbolic Notches in an Infinite Thin Element |
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101 | (1) |
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2.6.2 Opposite Semicircular Notches in a Flat Beam |
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101 | (1) |
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2.6.3 Opposite U-Shaped Notches in a Flat Beam |
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101 | (1) |
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2.6.4 V-Shaped Notches in a Flat Beam Element |
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102 | (1) |
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2.6.5 Notch on One Side of a Thin Beam |
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102 | (1) |
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2.6.6 Single or Multiple Notches with Semicircular or Semielliptical Notch Bottoms |
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102 | (1) |
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2.6.7 Notches with Flat Bottoms |
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103 | (1) |
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2.6.8 Closed-Form Solutions for Stress Concentration Factors for Notched Beams |
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103 | (1) |
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2.7 Bending of Plates with Notches |
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103 | (1) |
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2.7.1 Various Edge Notches in an Infinite Plate in Transverse Bending |
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103 | (1) |
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2.7.2 Notches in a Finite-Width Plate in Transverse Bending |
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104 | (1) |
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2.8 Bending of Solids with Grooves |
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104 | (2) |
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2.8.1 Deep Hyperbolic Groove in an Infinite Member |
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104 | (1) |
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2.8.2 U-Shaped Circumferential Groove in a Bar of Circular Cross Section |
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104 | (1) |
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2.8.3 Flat-Bottom Grooves in Bars of Circular Cross Section |
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105 | (1) |
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2.8.4 Closed-Form Solutions for Grooves in Bars of Circular Cross Section |
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105 | (1) |
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2.9 Direct Shear and Torsion |
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106 | (3) |
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2.9.1 Deep Hyperbolic Notches in an Infinite Thin Element in Direct Shear |
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106 | (1) |
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2.9.2 Deep Hyperbolic Groove in an Infinite Member |
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106 | (1) |
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2.9.3 U-Shaped Circumferential Groove in a Bar of Circular Cross Section Subject to Torsion |
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106 | (2) |
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2.9.4 V-Shaped Circumferential Groove in a Bar of Circular Cross Section Under Torsion |
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108 | (1) |
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2.9.5 Shaft in Torsion with Grooves with Flat Bottoms |
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108 | (1) |
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2.9.6 Closed-Form Formulas for Grooves in Bars of Circular Cross Section Under Torsion |
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109 | (1) |
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2.10 Test Specimen Design for Maximum K, for a Given r/D or r/H I |
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109 | (1) |
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109 | (4) |
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113 | (54) |
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167 | (42) |
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167 | (2) |
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3.2 Stress Concentration Factors |
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169 | (1) |
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3.3 Tension (Axial Loading) |
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170 | (7) |
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3.3.1 Opposite Shoulder Fillets in a Flat Bar |
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170 | (1) |
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3.3.2 Effect of Length of Element |
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170 | (1) |
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3.3.3 Effect of Shoulder Geometry in a Flat Member |
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170 | (1) |
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3.3.4 Effect of a Trapezoidal Protuberance on the Edge of a Flat Bar |
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171 | (1) |
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3.3.5 Fillet of Noncircular Contour in a Flat Stepped Bar |
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172 | (3) |
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3.3.6 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet |
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175 | (1) |
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176 | (1) |
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3.3.8 Stepped Pressure Vessel Wall with Shoulder Fillets |
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176 | (1) |
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177 | (1) |
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3.4.1 Opposite Shoulder Fillets in a Flat Bar |
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177 | (1) |
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3.4.2 Effect of Shoulder Geometry in a Flat Thin Member |
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177 | (1) |
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3.4.3 Elliptical Shoulder Fillet in a Flat Member |
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177 | (1) |
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3.4.4 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet |
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177 | (1) |
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178 | (2) |
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3.5.1 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet |
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178 | (1) |
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3.5.2 Stepped Bar of Circular Cross Section with a Circumferential Shoulder Fillet and a Central Axial Hole |
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178 | (1) |
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179 | (1) |
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3.6 Methods of Reducing Stress Concentration at a Shoulder |
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180 | (2) |
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182 | (2) |
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184 | (25) |
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209 | (230) |
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209 | (2) |
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4.2 Stress Concentration Factors |
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211 | (3) |
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4.3 Circular Holes with In-Plane Stresses |
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214 | (33) |
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4.3.1 Single Circular Hole in an Infinite Thin Element in Uniaxial Tension |
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214 | (3) |
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4.3.2 Single Circular Hole in a Semi-Infinite Element in Uniaxial Tension |
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217 | (1) |
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4.3.3 Single Circular Hole in a Finite-Width Element in Uniaxial Tension |
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218 | (1) |
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4.3.4 Effect of Length of Element |
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218 | (1) |
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4.3.5 Single Circular Hole in an Infinite Thin Element under Biaxial In-Plane Stresses |
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219 | (1) |
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4.3.6 Single Circular Hole in a Cylindrical Shell with Tension or Internal Pressure |
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220 | (3) |
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4.3.7 Circular or Elliptical Hole in a Spherical Shell with Internal Pressure |
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223 | (1) |
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4.3.8 Reinforced Hole Near the Edge of a Semi-Infinite Element in Uniaxial Tension |
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223 | (3) |
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4.3.9 Symmetrically Reinforced Hole in a Finite-Width Element in Uniaxial Tension |
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226 | (1) |
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4.3.10 Nonsymmetrical Reinforced Hole in a Finite-Width Element in Uniaxial Tension |
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227 | (1) |
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4.3.11 Symmetrically Reinforced Circular Hole in a Biaxially Stressed Wide, Thin Element |
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227 | (8) |
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4.3.12 Circular Hole with Internal Pressure |
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235 | (1) |
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4.3.13 Two Circular Holes of Equal Diameter in a Thin Element in Uniaxial Tension or Biaxial In-Plane Stresses |
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236 | (5) |
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4.3.14 Two Circular Holes of Unequal Diameter in a Thin Element in Uniaxial Tension or Biaxial In-Plane Stresses |
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241 | (2) |
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4.3.15 Single Row of Equally Distributed Circular Holes in an Element in Tension |
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243 | (1) |
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4.3.16 Double Row of Circular Holes in a Thin Element in Uniaxial Tension |
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243 | (1) |
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4.3.17 Symmetrical Pattern of Circular Holes in a Thin Element in Uniaxial Tension or Biaxial In-Plane Stresses |
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244 | (1) |
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4.3.18 Radially Stressed Circular Element with a Ring of Circular Holes, with or without a Central Circular Hole |
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245 | (1) |
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4.3.19 Thin Element with Circular Holes with Internal Pressure |
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246 | (1) |
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4.4 Elliptical Holes in Tension |
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247 | (16) |
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4.4.1 Single Elliptical Hole in Infinite- and Finite-Width Thin Elements in Uniaxial Tension |
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250 | (2) |
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4.4.2 Width Correction Factor for a Cracklike Central Slit in a Tension Panel |
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252 | (1) |
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4.4.3 Single Elliptical Hole in an Infinite, Thin Element Biaxially Stressed |
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253 | (10) |
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4.4.4 Infinite Row of Elliptical Holes in Infinite- and Finite-Width Thin Elements in Uniaxial Tension |
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263 | (1) |
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4.4.5 Elliptical Hole with Internal Pressure |
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263 | (1) |
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4.4.6 Elliptical Holes with Bead Reinforcement in an Infinite Thin Element under Uniaxial and Biaxial Stresses |
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263 | (1) |
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4.5 Various Configurations with In-Plane Stresses |
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263 | (11) |
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4.5.1 Thin Element with an Ovaloid; Two Holes Connected by a Slit under Tension; Equivalent Ellipse |
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263 | (2) |
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4.5.2 Circular Hole with Opposite Semicircular Lobes in a Thin Element in Tension |
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265 | (1) |
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4.5.3 Infinite Thin Element with a Rectangular Hole with Rounded Corners Subject to Uniaxial or Biaxial Stress |
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266 | (1) |
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4.5.4 Finite-Width Tension Thin Element with Round-Cornered Square Hole |
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267 | (1) |
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4.5.5 Square Holes with Rounded Comers and Bead Reinforcement in an Infinite Panel under Uniaxial and Biaxial Stresses |
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267 | (1) |
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4.5.6 Round-Cornered Equilateral Triangular Hole in an Infinite Thin Element Under Various States of Tension |
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267 | (1) |
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4.5.7 Uniaxially Stressed Tube or Bar of Circular Cross Section with a Transverse Circular Hole |
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267 | (1) |
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4.5.8 Round Pin Joint in Tension |
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268 | (1) |
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4.5.9 Inclined Round Hole in an Infinite Panel Subjected to Various States of Tension |
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269 | (1) |
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4.5.10 Pressure Vessel Nozzle (Reinforced Cylindrical Opening) |
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270 | (1) |
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4.5.11 Spherical or Ellipsoidal Cavities |
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271 | (1) |
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4.5.12 Spherical or Ellipsoidal Inclusions |
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272 | (2) |
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4.6 Holes in Thick Elements |
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274 | (10) |
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276 | (1) |
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277 | (1) |
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4.6.3 Intersecting Cylindrical Holes |
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278 | (1) |
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4.6.4 Rotating Disk with a Hole |
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279 | (2) |
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4.6.5 Ring or Hollow Roller |
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281 | (1) |
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4.6.6 Pressurized Cylinder |
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281 | (1) |
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4.6.7 Pressurized Hollow Thick Cylinder with a Circular Hole in the Cylinder Wall |
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282 | (1) |
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4.6.8 Pressurized Hollow Thick Square Block with a Circular Hole in the Wall |
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283 | (1) |
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4.6.9 Other Configurations |
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283 | (1) |
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4.7 Orthotropic Thin Members |
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284 | (4) |
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4.7.1 Orthotropic Panel with an Elliptical Hole |
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284 | (2) |
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4.7.2 Orthotropic Panel with a Circular Hole |
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286 | (1) |
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4.7.3 Orthotropic Panel with a Crack |
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286 | (1) |
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4.7.4 Isotropic Panel with an Elliptical Hole |
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286 | (1) |
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4.7.5 Isotropic Panel with a Circular Hole |
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286 | (1) |
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4.7.6 More Accurate Theory for a/b > 4 |
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287 | (1) |
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288 | (4) |
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4.8.1 Bending of a Beam with a Central Hole |
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288 | (1) |
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4.8.2 Bending of a Beam with a Circular Hole Displaced from the Center Line |
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289 | (1) |
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4.8.3 Curved Beams with Circular Holes |
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289 | (1) |
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4.8.4 Bending of a Beam with an Elliptical Hole; Slot with Semicircular Ends (Ovaloid); or Round-Comered Square Hole |
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290 | (1) |
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4.8.5 Bending of an Infinite- and a Finite-Width Plate with a Single Circular Hole |
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290 | (1) |
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4.8.6 Bending of an Infinite Plate with a Row of Circular Holes |
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291 | (1) |
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4.8.7 Bending of an Infinite Plate with a Single Elliptical Hole |
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291 | (1) |
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4.8.8 Bending of an Infinite Plate with a Row of Elliptical Holes |
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291 | (1) |
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4.8.9 Tube or Bar of Circular Cross Section with a Transverse Hole |
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291 | (1) |
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292 | (4) |
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4.9.1 Shear Stressing of an Infinite Thin Element with Circular or Elliptical Hole, Unreinforced and Reinforced |
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292 | (1) |
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4.9.2 Shear Stressing of an Infinite Thin Element with a Round-Cornered Rectangular Hole, Unreinforced and Reinforced |
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293 | (1) |
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4.9.3 Two Circular Holes of Unequal Diameter in a Thin Element in Pure Shear |
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293 | (1) |
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4.9.4 Shear Stressing of an Infinite Thin Element with Two Circular Holes or a Row of Circular Holes |
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294 | (1) |
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4.9.5 Shear Stressing of an Infinite Thin Element with an Infinite Pattern of Circular Holes |
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294 | (1) |
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4.9.6 Twisted Infinite Plate with a Circular Hole |
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294 | (1) |
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4.9.7 Torsion of a Cylindrical Shell with a Circular Hole |
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294 | (1) |
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4.9.8 Torsion of a Tube or Bar of Circular Cross Section with a Transverse Circular Hole |
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294 | (2) |
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296 | (11) |
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307 | (132) |
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5 Miscellaneous Design Elements |
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439 | (78) |
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439 | (2) |
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441 | (4) |
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442 | (1) |
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442 | (1) |
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5.2.3 Torque Transmitted Through a Key |
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443 | (1) |
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5.2.4 Combined Bending and Torsion |
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443 | (1) |
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5.2.5 Effect of Proximity of Keyseat to Shaft Shoulder Fillet |
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443 | (1) |
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444 | (1) |
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5.3 Splined Shaft in Torsion |
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445 | (1) |
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445 | (2) |
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5.5 Press- or Shrink-Fitted Members |
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447 | (3) |
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450 | (2) |
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5.7 Bolt Head, Turbine-Blade, or Compressor-Blade Fastening (T-Head) |
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452 | (2) |
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454 | (3) |
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5.8.1 Lugs with h/d > 0.5 |
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455 | (1) |
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5.8.2 Lugs with h/d < 0.5 |
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456 | (1) |
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457 | (1) |
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458 | (3) |
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5.10.1 Round or Square Wire Compression or Tension Spring |
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458 | (2) |
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5.10.2 Rectangular Wire Compression or Tension Spring |
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460 | (1) |
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5.10.3 Helical Torsion Spring |
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461 | (1) |
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461 | (1) |
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462 | (1) |
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462 | (1) |
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5.14 Angle and Box Sections |
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463 | (1) |
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5.15 Cylindrical Pressure Vessel with Torispherical Ends |
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463 | (1) |
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464 | (7) |
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5.17 Parts with Inhomogeneous Materials or Composites |
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471 | (1) |
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471 | (3) |
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474 | (1) |
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475 | (1) |
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5.21 Discontinuities with Additional Considerations |
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476 | (1) |
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5.22 Pharmaceutical Tablets with Holes |
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477 | (1) |
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5.23 Parts with Residual Stresses |
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478 | (1) |
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479 | (1) |
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5.25 New Approaches for Parametric Studies |
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480 | (1) |
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481 | (8) |
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489 | (28) |
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6 Finite Element Analysis (FEA) For Stress Analysis |
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517 | (72) |
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6.1 Structural Analysis Problems |
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518 | (1) |
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6.2 Types of Engineering Analysis Methods |
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519 | (1) |
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6.3 Structural Analysis Theory |
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520 | (27) |
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6.3.1 Trusses and Frame Structures |
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523 | (1) |
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523 | (3) |
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6.3.1.2 Boundary Conditions (BCs) and Loads |
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526 | (1) |
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527 | (3) |
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6.3.2 Plane Stress and Strain Problems |
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530 | (1) |
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530 | (5) |
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6.3.2.2 Plane Strain Problems |
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535 | (1) |
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535 | (2) |
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6.3.3.1 Two-Dimensional Truss Member in LCS |
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|
537 | (1) |
|
6.3.3.2 Two-Dimensional Beam Member in LCS |
|
|
538 | (2) |
|
6.3.3.3 Modeling of Two-Dimensional Frame Element |
|
|
540 | (2) |
|
|
542 | (1) |
|
6.3.4.1 Strain-Life Method |
|
|
543 | (1) |
|
6.3.4.2 Linear Elastic Fracture Mechanics Method |
|
|
544 | (1) |
|
6.3.4.3 Stress-Life Method |
|
|
545 | (1) |
|
6.3.4.4 Selection of Fatigue Analysis Methods |
|
|
546 | (1) |
|
6.4 Finite Element Anlaysis (FEA) for Structural Analysis |
|
|
547 | (15) |
|
|
551 | (1) |
|
|
552 | (2) |
|
|
554 | (4) |
|
|
558 | (1) |
|
6.4.5 Tools for Boundary Conditions |
|
|
559 | (1) |
|
6.4.6 Solvers to FEA Models |
|
|
559 | (3) |
|
|
562 | (1) |
|
6.5 Planning V&V in FEA Modeling |
|
|
562 | (15) |
|
|
563 | (1) |
|
6.5.1.1 Error Quantification |
|
|
563 | (1) |
|
|
564 | (1) |
|
6.5.1.3 Errors of Idealization |
|
|
565 | (1) |
|
6.5.1.4 Errors of Mathematic Models |
|
|
566 | (1) |
|
6.5.1.5 Errors of Model or Analysis Type |
|
|
567 | (1) |
|
|
567 | (1) |
|
6.5.2.1 Code Verification |
|
|
568 | (3) |
|
6.5.2.2 Calculation Verification |
|
|
571 | (1) |
|
6.5.2.3 Meshing Verification |
|
|
572 | (3) |
|
6.5.2.4 Convergence Study |
|
|
575 | (1) |
|
|
576 | (1) |
|
6.6 Finite Element Analysis for Verification of Structural Analysis |
|
|
577 | (3) |
|
6.7 FEA for Stress Analysis of Assembly Models |
|
|
580 | (2) |
|
6.8 Parametric Study for Stress Analysis |
|
|
582 | (4) |
|
6.9 FEA on Study of Stress Concentration Factors |
|
|
586 | (1) |
|
|
586 | (3) |
Index |
|
589 | |