
Dimensions and Tolerances
American Society of Mechanical Engineers
Engineering Drawing and Related Documentation Practices
CONTENTS
Foreword .. vi
Committee Roster viii
Correspondence With the Y14 Committee .. ix
Section 1 Scope, Definitions, and General Dimensioning .. 1
1.1 Scope 1
1.2 References … 1
1.3 Definitions .. 2
1.4 Fundamental Rules 7
1.5 Units of Measure 8
1.6 Types of Dimensioning . 9
1.7 Application of Dimensions .. 10
1.8 Dimensioning Features . 13
1.9 Location of Features .. 20
Section 2 General Tolerancing and Related Principles .. 24
2.1 General 24
2.2 Direct Tolerancing Methods . 24
2.3 Tolerance Expression . 25
2.4 Interpretation of Limits . 26
2.5 Single Limits … 26
2.6 Tolerance Accumulation … 26
2.7 Limits of Size 27
2.8 Applicability of Modifiers on Geometric Tolerance Values and Datum Feature References . 29
2.9 Screw Threads 31
2.10 Gears and Splines .. 31
2.11 Boundary Conditions 31
2.12 Angular Surfaces … 31
2.13 Conical Tapers 35
2.14 Flat Tapers … 35
2.15 Radius .. 36
2.16 Tangent Plane . 36
2.17 Statistical Tolerancing … 36
Section 3 Symbology .. 38
3.1 General 38
3.2 Use of Notes to Supplement Symbols 38
3.3 Symbol Construction . 38
3.4 Feature Control Frame Symbols .. 44
3.5 Feature Control Frame Placement … 46
3.6 Definition of the Tolerance Zone . 46
3.7 Tabulated Tolerances . 46
Section 4 Datum Reference Frames 48
4.1 General 48
4.2 Degrees of Freedom … 48
4.3 Degrees of Freedom Constrained by Primary Datum Features
Regardless of Material Boundary 48
4.4 Constraining Degrees of Freedom of a Part … 48
4.5 Datum Feature Simulator . 53
4.6 Theoretical and Physical Application of Datum Feature Simulators . 53
4.7 Datum Reference Frame … 53
4.8 Datum Features .. 57
4.9 Datum Feature Controls … 58
4.10 Specifying Datum Features in an Order of Precedence … 58
4.11 Establishing Datums . 59
4.12 Multiple Datum Features . 65
4.13 Mathematically Defined Surface . 69
4.14 Multiple Datum Reference Frames . 69
4.15 Functional Datum Features .. 69
4.16 Rotational Constraint About a Datum Axis or Point 70
4.17 Application of MMB, LMB, and RMB to Irregular Features of Size .. 74
4.18 Datum Feature Selection Practical Application . 75
4.19 Simultaneous Requirements 76
4.20 Restrained Condition 79
4.21 Datum Reference Frame Identification .. 79
4.22 Customized Datum Reference Frame Construction . 81
4.23 Application of a Customized Datum Reference Frame … 81
4.24 Datum Targets 83
Section 5 Tolerances of Form .. 91
5.1 General 91
5.2 Form Control .. 91
5.3 Specifying Form Tolerances . 91
5.4 Form Tolerances . 91
5.5 Application of Free-State Symbol 95
Section 6 Tolerances of Orientation … 99
6.1 General 99
6.2 Orientation Control … 99
6.3 Orientation Symbols .. 99
6.4 Specifying Orientation Tolerances .. 99
6.5 Tangent Plane . 103
6.6 Alternative Practice … 103
Section 7 Tolerances of Location 108
7.1 General 108
7.2 Positional Tolerancing … 108
7.3 Positional Tolerancing Fundamentals: I . 108
7.4 Positional Tolerancing Fundamentals: II 119
7.5 Pattern Location . 127
7.6 Coaxial Feature Controls .. 148
7.7 Tolerancing for Symmetrical Relationships … 156
Section 8 Tolerances of Profile … 158
8.1 General 158
8.2 Profile .. 158
8.3 Tolerance Zone Boundaries .. 158
8.4 Profile Applications … 165
8.5 Material Condition and Boundary Condition Modifiers as
Related to Profile Controls … 167
8.6 Composite Profile .. 167
8.7 Multiple Single-Segment Profile Tolerancing 175
8.8 Combined Controls . 175
Section 9 Tolerances of Runout .. 180
9.1 General 180
9.2 Runout . 180
9.3 Runout Tolerance … 180
9.4 Types of Runout Tolerances . 180
9.5 Application . 182
9.6 Specification … 182
A Principal Changes and Improvements . 185
B Formulas for Positional Tolerancing . 191
C Form, Proportion, and Comparison of Symbols .. 194
D Former Practices .. 199
E Decision Diagrams for Geometric Control .. 200
Index ..
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