{"id":248941,"date":"2024-10-19T16:24:18","date_gmt":"2024-10-19T16:24:18","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/asme-y14-5-1-2019\/"},"modified":"2024-10-25T11:35:34","modified_gmt":"2024-10-25T11:35:34","slug":"asme-y14-5-1-2019","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/asme\/asme-y14-5-1-2019\/","title":{"rendered":"ASME Y14.5.1 2019"},"content":{"rendered":"

This Standard presents a mathematical definition of geometrical dimensioning and tolerancing consistent with the principles and practices of ASME Y14.5-2009, enabling determination of actual values. While the general format of this Standard parallels that of ASME Y14.5-2009, the latter document should be consulted for practices relating to dimensioning and tolerancing for use on engineering product definition and in related documentation.<\/p>\n

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PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
4<\/td>\nCONTENTS <\/td>\n<\/tr>\n
9<\/td>\nFOREWORD <\/td>\n<\/tr>\n
10<\/td>\nASME Y14 COMMITTEE ROSTER <\/td>\n<\/tr>\n
11<\/td>\nCORRESPONDENCE WITH THE Y14 COMMITTEE <\/td>\n<\/tr>\n
12<\/td>\nSection 1 Scope and Definitions
1.1 SCOPE
1.1.1 Reference to Gaging
1.2 ASME Y14 SERIES CONVENTIONS
1.2.1 Mandatory, Recommended, Guidance, and Optional Words
1.2.2 Cross-Reference of Standards
1.2.3 Invocation of Referenced Standards <\/td>\n<\/tr>\n
13<\/td>\n1.2.4 Parentheses Following a Definition
1.2.5 Notes
1.2.6 Acronyms and Abbreviations
1.2.7 Units
1.2.8 Figures
1.2.9 Precedence of Standards
1.3 REFERENCES
1.4 MATHEMATICAL NOTATION
1.4.1 Symbology <\/td>\n<\/tr>\n
14<\/td>\n1.4.2 Algebraic Notation
1.5 DEFINITIONS
1.5.1 Actual Value
1.5.2 Candidate Datum
1.5.3 Candidate Datum Reference Frame
1.5.4 Candidate Datum Reference Frame Set <\/td>\n<\/tr>\n
15<\/td>\n1.5.5 Candidate Datum Set
1.5.6 Conformance to a Geometric Tolerance
1.5.7 Cutting Surface
1.5.8 Derived Median Line
1.5.9 Derived Median Plane
1.5.10 Design Geometry
1.5.11 Direction Vector
1.5.12 Element, Circular
1.5.13 Element, Line
1.5.14 Engineering Data
1.5.15 Envelope, Actual Mating
1.5.16 Envelope, Actual Minimum Material
1.5.17 Feature
1.5.18 Feature of Size, External
1.5.19 Feature of Size, Internal
1.5.20 Half-Space <\/td>\n<\/tr>\n
16<\/td>\n1.5.21 Perfect Form
1.5.22 Resolved Geometry
1.5.23 Size, Actual Mating
1.5.24 Size, Actual Minimum Material
1.5.25 Spine
1.5.26 Spine, Local Size
1.5.27 Surface of Support
1.5.28 Tolerance Zone
1.5.29 True Position
1.5.30 True Profile
1.6 SUMMARY OF CONVENTIONAL DESIGNATIONS <\/td>\n<\/tr>\n
17<\/td>\n1.7 FORMAT
Figures
Figure 1-1 Example: Distance From a Point to a True Position Axis
Figure 1-2 Example: Cutting Surfaces to Evaluate Circular Runout
Tables
Table 1-1 Mathematical Symbology <\/td>\n<\/tr>\n
18<\/td>\nFigure 1-3 Examples of a Planar Surface of Support <\/td>\n<\/tr>\n
19<\/td>\nSection 2 General Tolerancing and Related Principles
2.1 SURFACE POINTS
2.2 DIMENSION ORIGIN
2.3 FEATURES OF SIZE
2.3.1 Limits of Size <\/td>\n<\/tr>\n
20<\/td>\n2.3.2 Variation of Size
2.3.3 Actual Local Size Limits <\/td>\n<\/tr>\n
21<\/td>\n2.3.4 Continuous Features of Size <\/td>\n<\/tr>\n
22<\/td>\n2.3.5 Limits for Irregular Feature of Size (Type b)
2.3.6 Variation of Size Under Rule #1 for Irregular Features of Size
Figure 2-1 Irregular Features of Size (Type a), Collection of Features
Figure 2-2 Symbols Used in the Definition of Size
Figure 2-3 Conformance to Limits of Size, Internal Feature of Size <\/td>\n<\/tr>\n
23<\/td>\nFigure 2-4 Examples of Surface Attributes Leading to Variations in the Derived Median Line
Figure 2-5 The Cutting Plane at a Point on a Local Size Spine, and Some of the Evaluation Lines in That Cutting Plane
Figure 2-6 Profile of a Surface Tolerance Describing an External IFOSb <\/td>\n<\/tr>\n
24<\/td>\nSection 3 Symbology <\/td>\n<\/tr>\n
25<\/td>\nSection 4 Datum Reference Frames
4.1 GENERAL
4.2 CONCEPTS
4.3 DEGREES OF FREEDOM
4.4 DATUM FEATURE SIMULATORS (THEORETICAL)
4.4.1 Datum Feature Simulator Requirements <\/td>\n<\/tr>\n
26<\/td>\n4.5 CONSTRAINING DEGREES OF FREEDOM
4.5.1 Primary Datum Feature Types and Constrained Degrees of Freedom
4.5.2 Datum Feature Order of Precedence in a Datum Reference Frame
4.5.3 Partially Constrained Datum Reference Frame
4.5.4 Datum Reference Frames for Composite Tolerances
4.5.5 Customized Datum Reference Frames
4.6 TABULATION OF DATUM REFERENCE FRAMES <\/td>\n<\/tr>\n
27<\/td>\n4.7 CANDIDATE DATUM SETS AND CANDIDATE REFERENCE FRAME SETS
4.7.1 Establishing a Candidate Datum Set
4.7.2 Types of Datum Features
4.7.3 Planar Datum Features <\/td>\n<\/tr>\n
28<\/td>\n4.7.4 Datum Features of Size Referenced at RMB
4.7.5 Datum Features of Size Referenced at MMB
4.7.6 Datum Features of Size Referenced at LMB <\/td>\n<\/tr>\n
29<\/td>\n4.7.7 Translation Modifier
4.7.8 Establishing a Candidate Datum Reference Frame Set
4.7.9 Conformance and Actual Value
4.7.10 Simultaneous Requirements
4.7.11 Alternate Stabilization Procedures
Table 4-1 Symbols for Datum Reference Frame Tables <\/td>\n<\/tr>\n
30<\/td>\nTable 4-2 Point as Primary Datum (Spherical Datum Feature)
Table 4-3 Axis as Primary Datum (Cylindical Datum Feature) <\/td>\n<\/tr>\n
31<\/td>\nTable 4-4 Plane as Primary Datum (Planar or Width Datum Feature)
Table 4-5 Coincident Axis and Point as Primary Datum (Conical Datum Feature)
Table 4-6 Axis and Plane as Primary Datum (Linear Extruded Shape Datum Feature)
Table 4-7 Axis Point and Plane as Primary Datum (Complex Datum Feature)
Table 4-8 Generic Invariant Cases <\/td>\n<\/tr>\n
32<\/td>\nFigure 4-1 Example From Table 4-3 \u2014 Axis as Primary Datum
Figure 4-2 Example of Testing Whether a Plane Is a Valid Datum Plane <\/td>\n<\/tr>\n
33<\/td>\nFigure 4-3 Tertiary Datum Feature Simulator Is Basically Located and Oriented
Figure 4-4 Example of Translation Modifier <\/td>\n<\/tr>\n
34<\/td>\nSection 5 Tolerances of Form
5.1 GENERAL
5.2 FORM CONTROL
5.3 SPECIFYING FORM TOLERANCES
5.4 FORM TOLERANCES
5.4.1 Straightness <\/td>\n<\/tr>\n
35<\/td>\n5.4.2 Flatness <\/td>\n<\/tr>\n
36<\/td>\n5.4.3 Circularity (Roundness) <\/td>\n<\/tr>\n
37<\/td>\n5.4.4 Cylindricity <\/td>\n<\/tr>\n
38<\/td>\nFigure 5-1 Evaluation of Straightness of a Cylindrical Surface
Figure 5-2 Evaluation of Straightness of a Planar Surface
Figure 5-3 Illustration of Circularity Tolerance Zone for a Cylindrical or Conical Feature <\/td>\n<\/tr>\n
39<\/td>\nSection 6 Tolerances of Orientation
6.1 GENERAL
6.2 ORIENTATION CONTROL
6.3 SPECIFYING ORIENTATION TOLERANCES
6.4 ORIENTATION TOLERANCE <\/td>\n<\/tr>\n
40<\/td>\n6.4.1 Planar Orientation Tolerance Zone <\/td>\n<\/tr>\n
41<\/td>\n6.4.2 Cylindrical Orientation Tolerance Zone
6.4.3 Linear Orientation Tolerance Zone <\/td>\n<\/tr>\n
42<\/td>\nFigure 6-1 Planar Orientation Zone With Primary and Secondary Datum Planes Specified
Figure 6-2 Projection of Tolerance Vector Onto Primary Datum Plane <\/td>\n<\/tr>\n
43<\/td>\nFigure 6-3 Cylindrical Orientation Zone With Respect to a Primary Datum Plane
Figure 6-4 Linear Orientation Zone Bounded by Parallel Lines <\/td>\n<\/tr>\n
44<\/td>\nSection 7 Tolerances of Location
7.1 GENERAL
7.1.1 Material Condition Basis
7.1.2 Patterns of Features
7.2 POSITION TOLERANCING <\/td>\n<\/tr>\n
45<\/td>\n7.2.1 In Terms of the Surface of a Feature
7.2.2 In Terms of the Resolved Geometry of a Feature
7.3 PROJECTED TOLERANCE ZONE <\/td>\n<\/tr>\n
46<\/td>\n7.4 CONICAL TOLERANCE ZONE
7.4.1 In Terms of the Surface of the Feature <\/td>\n<\/tr>\n
47<\/td>\n7.4.2 In Terms of the Resolved Geometry (Axis) of the Feature
7.5 BIDIRECTIONAL POSITION TOLERANCING
7.5.1 In Terms of the Surface of the Feature <\/td>\n<\/tr>\n
48<\/td>\n7.5.2 In Terms of the Resolved Geometry (Axis) of the Feature
7.5.3 Polar Bidirectional Tolerancing in Terms of the Resolved Geometry (Axis) of the Feature <\/td>\n<\/tr>\n
49<\/td>\n7.6 POSITION TOLERANCING AT MMC FOR BOUNDARIES OF ELONGATED HOLES
7.7 CONCENTRICITY AND SYMMETRY <\/td>\n<\/tr>\n
50<\/td>\nFigure 7-1 First Illustration of the Difference Between Surface and Resolved Geometry Interpretations of Position Tolerancing
Figure 7-2 Second Illustration of the Difference Between Surface and Resolved Geometry Interpretations of Position Tolerancing
Figure 7-3 Tolerance Zone and Conformance: Holes at MMC or RFS, Shafts at LMC \u2014 Surface Interpretation
Figure 7-4 Tolerance Zone and Conformance: Tabs at MMC or RFS, Slots at LMC \u2014 Surface Interpretation
Table 7-1 Definition of Position Tolerance Zone \u2014 Surface Interpretation <\/td>\n<\/tr>\n
51<\/td>\nFigure 7-5 Tolerance Zone and Conformance: Holes at MMC or RFS, Shafts at LMC \u2014 Resolved Geometry Interpretation
Table 7-2 Size of Position Tolerance Zone \u2014 Surface Interpretation
Table 7-3 Size of Position Tolerance Zone \u2014 Resolved Geometry Interpretation
Table 7-4 Definition of Verifying Volume for Projected Tolerance Zone <\/td>\n<\/tr>\n
52<\/td>\nFigure 7-6 Projected Tolerance Zone for a Hole
Figure 7-7 Surface Interpretation of Conical Tolerance Zone for Holes at MMC or RFS
Figure 7-8 Resolved Geometry (Axis) Interpretation of Conical Tolerance Zone for Holes at MMC or RFS
Table 7-5 Definition of Conical Tolerance Zone \u2014 Surface Interpretation
Table 7-6 Size of Conical Tolerance Zone \u2014 Surface Interpretation <\/td>\n<\/tr>\n
53<\/td>\nTable 7-7 Size of Conical Tolerance Zone \u2014 Resolved Geometry (Axis) Interpretation
Table 7-8 Definition of Bidirectional Tolerance Zone \u2014 Surface Interpretation
Table 7-9 Size of Bidirectional Tolerance Zone \u2014 Surface Interpretation <\/td>\n<\/tr>\n
54<\/td>\nFigure 7-9 Bidirectional Hole Tolerance at MMC With Cylindrical Tolerance Zones \u2014 Surface Interpretation
Figure 7-10 Bidirectional Shaft Tolerance at MMC With Parallel Plane Tolerance Zones \u2014 Surface Interpretation
Table 7-10 Size of Bidirectional Tolerance Zone \u2014 Resolved Geometry (Axis) Interpretation <\/td>\n<\/tr>\n
55<\/td>\nFigure 7-11 Definition of the Tolerance Zone for Polar Bidirectional Tolerancing
Figure 7-12 Tolerance Zone and Conformance, Elongated Hole at MMC \u2014 Tolerance Zone is the Right Cylinder Shown in Cross Section
Table 7-11 Size of Polar Bidirectional Tolerance Zone \u2014 Resolved Geometry (Axis) Interpretation <\/td>\n<\/tr>\n
56<\/td>\nFigure 7-13 Rays Are Arranged in the Lowest Order of Symmetry About an Axis or a Point
Table 7-12 Symmetry Elements for ObtainingCorresponding Feature Elements <\/td>\n<\/tr>\n
57<\/td>\nSection 8 Tolerances of Profile
8.1 GENERAL
8.2 PROFILE
8.2.1 Types of Profile Tolerances
8.3 TOLERANCE ZONE BOUNDARIES
8.3.1 Uniform Tolerance Zones <\/td>\n<\/tr>\n
58<\/td>\n8.4 PROFILE APPLICATIONS
8.4.1 Optimization of Profile Tolerance Systems
8.4.2 Constraint Properties of Profile Tolerance Zones <\/td>\n<\/tr>\n
59<\/td>\n8.4.3 Effect of Pattern Creation (Grouping) Mechanisms
8.4.4 Effect of Individual Profile Specifications
8.4.5 Datum Feature References
8.4.6 Effect of Simultaneous Requirements
8.4.7 Composite Profile
8.5 EXTENSION OF TOLERANCE ZONE BOUNDARIES FOR SHARP CORNERS <\/td>\n<\/tr>\n
60<\/td>\n8.6 NONUNIFORM TOLERANCE ZONE
Table 8-1 Table of Profile Tolerance Dispositions <\/td>\n<\/tr>\n
61<\/td>\nFigure 8-1 Tolerance Zone Derivation \u2014 Equally Disposed Profile
Figure 8-2 Tolerance Zone Derivation \u2014 Unequally Disposed Profile <\/td>\n<\/tr>\n
62<\/td>\nFigure 8-3 Tolerance Zone Derivation \u2014 Unilaterally Disposed Profile (Outside)
Figure 8-4 Tolerance Zone Derivation \u2014 Unilaterally Disposed Profile (Inside) <\/td>\n<\/tr>\n
63<\/td>\nFigure 8-5 Actual Zone Definition for Equally Disposed Profile \u2014 Example of Conformance
Figure 8-6 Actual Zone Definition for Unequally Disposed Profile \u2014 Example of Conformance
Figure 8-7 Actual Zone for Unilateral (Outside) Profile \u2014 Example of Nonconformance <\/td>\n<\/tr>\n
64<\/td>\nFigure 8-8 Actual Zone for Unilateral (Inside) Profile \u2014 Example of Nonconformance
Figure 8-9 Profile Tolerance for a Single Feature Without a Datum Reference Frame
Figure 8-10 Profile Tolerance Zone for a Single Feature Without a Datum Reference Frame <\/td>\n<\/tr>\n
65<\/td>\nFigure 8-11 Candidate Configuration #1 (System Not Optimized)
Figure 8-12 Candidate Configuration #2 (System Optimized)
Figure 8-13 Actual Values in a Multi-Feature Profile Tolerance System \u2014 Specification <\/td>\n<\/tr>\n
66<\/td>\nFigure 8-14 Actual Values in a Multi-Feature Profile Tolerance System \u2014 Basically Related Profile Tolerance Zones
Figure 8-15 Actual Values in a Multi-Feature Profile Tolerance System \u2014 Candidate Configuration #1 (System Not Optimized)
Figure 8-16 Actual Values in a Multi-Feature Profile Tolerance System \u2014 Candidate Configuration #2 (System Optimized) <\/td>\n<\/tr>\n
67<\/td>\nFigure 8-17 Individual Requirements for Profile \u2014 Specification
Figure 8-18 Individual Requirements for Profile \u2014 Tolerance Zones
Figure 8-19 Individual Requirements for Profile \u2014 Individual Requirement 1 <\/td>\n<\/tr>\n
68<\/td>\nFigure 8-20 Individual Requirements for Profile \u2014 Individual Requirement 2
Figure 8-21 Datum Feature References With Profile \u2014 Specification
Figure 8-22 Datum Feature References With Profile \u2014 Tolerance Zones and Simulators <\/td>\n<\/tr>\n
69<\/td>\nFigure 8-23 Datum Feature References With Profile \u2014 Invalid Candidate Configuration
Figure 8-24 Datum Feature References With Profile \u2014 Valid Candidate Configuration
Figure 8-25 Simultaneous Requirements for Profile \u2014 Specification <\/td>\n<\/tr>\n
70<\/td>\nFigure 8-26 Simultaneous Requirements for Profile \u2014 Tolerance Zones
Figure 8-27 Simultaneous Requirements for Profile (System Not Optimized)
Figure 8-28 Simultaneous Requirements for Profile (System Optimized) <\/td>\n<\/tr>\n
71<\/td>\nFigure 8-29 Composite Profile Lower Segment \u2014 Specification
Figure 8-30 Composite Profile Lower Segment \u2014Tolerance Zones (FRTZF)
Figure 8-31 Composite Profile Lower Segment (System Not Optimized) <\/td>\n<\/tr>\n
72<\/td>\nFigure 8-32 Composite Profile Lower Segment (System Optimized)
Figure 8-33 Tolerance Zone Derivation \u2014 Profile With Sharp Corner
Figure 8-34 Actual Zone Definition \u2014 Profile With Sharp Corner <\/td>\n<\/tr>\n
73<\/td>\nSection 9 Tolerances of Runout
9.1 RUNOUT TOLERANCE
9.1.1 Circular Runout <\/td>\n<\/tr>\n
74<\/td>\n9.1.2 Total Runout <\/td>\n<\/tr>\n
75<\/td>\nFigure 9-1 Circular Runout Zone <\/td>\n<\/tr>\n
76<\/td>\nNONMANDATORY APPENDICES
NONMANDATORY APPENDIX A PRINCIPAL CHANGES AND IMPROVEMENTS
A-1 GENERAL
A-2 STANDARD Y14 FORMAT
A-3 SECTION 1, SCOPE AND DEFINITIONS
A-4 SECTION 2, GENERAL TOLERANCING AND RELATED PRINCIPLES
A-5 SECTION 3, SYMBOLOGY
A-6 SECTION 4, DATUM REFERENCE FRAMES
A-7 SECTION 5, TOLERANCES OF FORM <\/td>\n<\/tr>\n
77<\/td>\nA-8 SECTION 6, TOLERANCES OF ORIENTATION
A-9 SECTION 7, TOLERANCES OF LOCATION
A-10 SECTION 8, TOLERANCES OF PROFILE <\/td>\n<\/tr>\n
78<\/td>\nA-11 SECTION 9, TOLERANCES OF RUNOUT
A-12 NONMANDATORY APPENDICES <\/td>\n<\/tr>\n
79<\/td>\nNONMANDATORY APPENDIX B MATHEMATICAL DATUM SIMULATORS REFERENCED AT RMB: DEFINITIONS AND PROPERTIES
B-1 INTRODUCTION
B-2 REQUIREMENTS FOR A SINGLE SIMULATOR <\/td>\n<\/tr>\n
83<\/td>\nFigure B-1 Signed Distances
Figure B-2 Least Squares Simulators
Figure B-3 Min\u2013Max Simulators <\/td>\n<\/tr>\n
84<\/td>\nFigure B-4 L1 Simulators
Figure B-5 Progressed Least Squares Simulators
Figure B-6 Mating of Actual Parts <\/td>\n<\/tr>\n
85<\/td>\nFigure B-7 Mostly Progressed Least Squares Simulators
Figure B-8 Constrained L1 Simulators
Figure B-9 Constrained Min\u2013Max Simulators <\/td>\n<\/tr>\n
86<\/td>\nFigure B-10 Constrained Least Squares Simulators
Figure B-11 Constrained Simulators for a V-Shaped Feature
Figure B-12 Constrained Simulators for a Peanut-Shaped Circular Feature <\/td>\n<\/tr>\n
87<\/td>\nFigure B-13 Constrained Simulators for an Hourglass-Shaped Opposed Lines Feature
Figure B-14 Constrained Simulators for a Skew-Convex Linear Feature <\/td>\n<\/tr>\n
88<\/td>\nFigure B-15 Constrained Simulators for a Dented Circular Feature
Figure B-16 Constrained Simulators for a Skew-Convex Opposed Lines Feature
Figure B-17 Large Voids Can Harm Constrained Simulators <\/td>\n<\/tr>\n
89<\/td>\nFigure B-18 Void-Filling Can Improve Constrained Simulators
Figure B-19 Void-Filling Can Degrade the Constrained Min-Max Simulator <\/td>\n<\/tr>\n
90<\/td>\nNONMANDATORY APPENDIX C FORMER PRACTICES
C-1 PROFILE CONTROL <\/td>\n<\/tr>\n
91<\/td>\nFigure D-1 Size Ordering for Perfect and Imperfect Features of Size
NONMANDATORY APPENDIX D CONCEPTS RELATED TO SIZE
D-1 GENERAL
D-2 ORDERING OF SIZE VALUES <\/td>\n<\/tr>\n
92<\/td>\nTable D-1 Uniqueness and Containment Relationships for Features of Size \u2014 Part 1
Table D-2 Uniqueness and Containment Relationships for Features of Size \u2014 Part 2 <\/td>\n<\/tr>\n
93<\/td>\nNONMANDATORY APPENDIX E A SELECTION OF MATHEMATICAL CONCEPTS
E-1 WHY THIS APPENDIX?
E-2 MANIFOLDS
E-3 CONTINUITY
E-4 SUPPORT
E-5 REGULARIZED SETS <\/td>\n<\/tr>\n
94<\/td>\nFigure E-1 Examples of One-Dimensional Manifold (Left) and Not (Right)
Figure E-2 A Line Which Is Continuous (Left) and Not (Right)
Figure E-3 A Line Which Is Tangent Continuous (Left) and Not (Right)
Figure E-4 An Object, Its Interior, and Its Boundary <\/td>\n<\/tr>\n
95<\/td>\nFigure E-5 The Result of Union Between Two Objects, and the Non-Manifold Boundary
Figure E-6 The Interior of Two Objects, and Their Union With a Manifold Boundary <\/td>\n<\/tr>\n
96<\/td>\nNONMANDATORY APPENDIX F POTENTIAL MISUSE OF THE SWEPT-SPHERE DEFINITION OF SIZE
F-1 GENERAL
F-2 THE SHORT SPINE
F-3 THE SPACE-FILLING SPINE <\/td>\n<\/tr>\n
97<\/td>\nFigure F-1 MMC and LMC Spheres, and a Part to Be Tested for Conformance
Figure F-2 LMC and MMC Spines
Figure F-3 LMC and MMC Swept Regions
Figure F-4 Conformance to the Size Tolerance
Figure F-5 MMC and LMC Spheres, and a Part to Be Tested for Conformance
Figure F-6 LMC and MMC Spines
F-4 THE NONSURROUND CASE
F-5 POSSIBLE REMEDIES <\/td>\n<\/tr>\n
98<\/td>\nFigure F-7 LMC and MMC Swept Regions
Figure F-8 Incorrect Determination of Conformance to the Size Tolerance
Figure F-9 MMC and LMC Spheres, and a Part to Be Tested for Conformance
Figure F-10 LMC and MMC Spines
Figure F-11 LMC and MMC Swept Regions
Figure F-12 Incorrect Determination of Conformance to the Size Tolerance
Figure F-13 MMC and LMC Spheres, and a Part to Be Tested for Conformance
Figure F-14 Incorrect Determination of Conformance tothe Size Tolerance <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

ASME Y14.5.1-2019: Mathematical Definition of Dimensioning and Tolerancing Principles<\/b><\/p>\n\n\n\n\n
Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
ASME<\/b><\/a><\/td>\n2019<\/td>\n101<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":248946,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2643],"product_tag":[],"class_list":{"0":"post-248941","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-asme","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/248941","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/248946"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=248941"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=248941"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=248941"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}