Geometrical product specifications (GPS) - Dimensional tolerancing - Part 2: Dimensions other than linear or angular sizes (ISO 14405-2:2018)

This document illustrates the ambiguity caused by the use of dimensional specifications to control
properties other than linear or angular size and the benefit of using geometrical specifications instead.
Dimensional tolerancing can be indicated by ± tolerancing or geometrical specifications.
The ambiguity caused by using ± tolerances for dimensions other than linear or angular sizes (for
individual tolerances and general tolerances according to, e.g. ISO 2768-1 and ISO 8062-3) is explained
in Annex A.
NOTE 1 The figures, as shown in this document, merely illustrate the text and are not intended to reflect
actual usage. The figures are consequently simplified to indicate only the relevant principles.
NOTE 2 For indications of dimensional specifications, see the following:
— ISO 14405-1 for linear size;
— ISO 14405-3 for angular size;
— ISO 2538-1 and ISO 2538-2 for wedges;
— ISO 3040 for cones.
NOTE 3 The rules for geometrical specifications are given in ISO 1101.

Geometrische Produktspezifikation (GPS) - Dimensionelle Tolerierung - Teil 2: Andere als lineare oder Winkelgrößenmaße (ISO 14405-2:2018)

Dieses Dokument veranschaulicht die Mehrdeutigkeit, die durch die Verwendung von Maßspezifikationen zur Kontrolle von anderen als linearen oder Winkelgrößenmaßen verursacht wird, und den Vorteil der Ver¬wendung von geometrischen Spezifikationen an ihrer Stelle.
Die dimensionelle Tolerierung kann als Plus-Minus-Tolerierung oder als geometrische Spezifikationen in die Zeichnung eingetragen werden.
Die durch die Verwendung der Plus-Minus-Tolerierung für andere als lineare oder Winkelgrößenmaße (für Einzeltoleranzen und Allgemeintoleranzen nach z. B. ISO 2768 1 und ISO 8062 3) verursachte Mehrdeutig-keit ist in Anhang A erklärt.
ANMERKUNG 1   Die Bilder, die in diesem Dokument gezeigt sind, veranschaulichen lediglich den Text, und es ist nicht beabsichtigt, dass sie die tatsächliche Anwendung widerspiegeln. Infolgedessen sind die Bilder so vereinfacht worden, dass sie nur die wesentlichen Grundsätze wiedergeben.
ANMERKUNG 2   Für die Zeichnungseintragung von Maßspezifikationen siehe:
   ISO 14405 1 für lineare Größenmaße;
   ISO 14405 3 für Winkelgrößenmaße;
   ISO 2538 1 und ISO 2538 2 für Keile;
   ISO 3040 für Kegel.
ANMERKUNG 3   Die Regeln der geometrischen Tolerierung sind in ISO 1101 angegeben.

Spécification géométrique des produits (GPS) - Tolérancement dimensionnel - Partie 2: Dimensions autres que tailles linéaires (ISO 14405-2:2018)

Le présent document illustre l'ambigüité causée par l'utilisation de spécifications dimensionnelles pour maitriser les propriétés autres que les tailles linéaires ou angulaires et l'avantage d'utiliser des spécifications géométriques à la place.
Le tolérancement dimensionnel peut être indiqué par un tolérancement en ± ou par des spécifications géométriques.
L'ambigüité causée par l'utilisation de tolérances en ± pour les dimensions autres que les tailles linéaires ou angulaires (pour les tolérances individuelles et pour les tolérances générales selon, par exemple, ISO 2768‑1 et ISO 8062‑3) est expliquée dans l'Annexe A.
NOTE 1    Les figures représentées dans le présent document illustrent simplement le texte et ne prétendent pas refléter des applications réelles. En conséquence, les figures sont simplifiées pour indiquer uniquement les principes pertinents.
NOTE 2    Pour les indications de spécifications dimensionnelles, voir:
—           ISO 14405-1 pour les tailles linéaires;
—           ISO 14405-3 pour les tailles angulaires;
—           ISO 2538-1 et ISO 2538-2 pour les coins;
—           ISO 3040 pour les cônes.
NOTE 3    Les règles de spécifications géométriques sont données dans l'ISO 1101.

Specifikacija geometrijskih veličin izdelka (GPS) - Prikazovanje dimenzij in toleranc - 2. del: Dimenzije, razen linearnih dimenzij ali velikosti kotov (ISO 14405-2:2018)

Ta dokument prikazuje nejasnost, ki jo povzroča uporaba dimenzijskih specifikacij za nadzor lastnosti, razen linearnih dimenzij ali velikosti kotov, in koristi uporabe geometrijskih specifikacij.
Dimenzije in tolerance je mogoče prikazati s tolerancami ali geometrijskimi specifikacijami.
Nejasnost, ki jo povzroči uporaba ± toleranc za dimenzije, razen linearnih dimenzij ali velikosti kotov (za posamezne tolerance in splošne tolerance v skladu z npr. standardoma ISO 2768-1 in ISO 8062-3), je razložena v dodatku A.
OPOMBA 1: Slike, kot so prikazane v tem dokumentu, zgolj ponazarjajo besedilo in niso namenjene odražanju dejanske uporabe. Zato so poenostavljene, da kažejo samo ustrezna načela.
OPOMBA 2: Za oznake dimenzijskih specifikacij glejte naslednje standarde:
– ISO 14405-1 za linearne dimenzije;
– ISO 14405-3 za velikosti kotov;
– ISO 2538-1 in ISO 2538-2 za lomne prizme;
– ISO 3040 za konuse.
OPOMBA 3: Pravila za geometrijske specifikacije so podana v standardu ISO 1101.

General Information

Status
Published
Public Enquiry End Date
30-Sep-2018
Publication Date
06-Feb-2019
Technical Committee
Current Stage
6060 - National Implementation/Publication (Adopted Project)
Start Date
31-Jan-2019
Due Date
07-Apr-2019
Completion Date
07-Feb-2019

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Standards Content (Sample)

SLOVENSKI STANDARD
SIST EN ISO 14405-2:2019
01-marec-2019
1DGRPHãþD
SIST EN ISO 14405-2:2012
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 3ULND]RYDQMHGLPHQ]LMLQ
WROHUDQFGHO'LPHQ]LMHUD]HQOLQHDUQLKGLPHQ]LMDOLYHOLNRVWLNRWRY ,62

Geometrical product specifications (GPS) - Dimensional tolerancing - Part 2: Dimensions
other than linear or angular sizes (ISO 14405-2:2018)
Spécification géométrique des produits (GPS) - Tolérancement dimensionnel - Partie 2:
Dimensions autres que tailles linéaires (ISO 14405-2:2018)
Ta slovenski standard je istoveten z: EN ISO 14405-2:2019
ICS:
17.040.10 Tolerance in ujemi Limits and fits
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND *36 Specification (GPS)
SIST EN ISO 14405-2:2019 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 14405-2:2019

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SIST EN ISO 14405-2:2019


EN ISO 14405-2
EUROPEAN STANDARD

NORME EUROPÉENNE

January 2019
EUROPÄISCHE NORM
ICS 17.040.10 Supersedes EN ISO 14405-2:2011
English Version

Geometrical product specifications (GPS) - Dimensional
tolerancing - Part 2: Dimensions other than linear or
angular sizes (ISO 14405-2:2018)
Spécification géométrique des produits (GPS) -
Tolérancement dimensionnel - Partie 2: Dimensions
autres que tailles linéaires ou angulaires (ISO 14405-
2:2018)
This European Standard was approved by CEN on 2 November 2018.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and United Kingdom.





EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 14405-2:2019 E
worldwide for CEN national Members.

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SIST EN ISO 14405-2:2019
EN ISO 14405-2:2019 (E)
Contents Page
European foreword . 3

2

---------------------- Page: 4 ----------------------

SIST EN ISO 14405-2:2019
EN ISO 14405-2:2019 (E)
European foreword
This document (EN ISO 14405-2:2019) has been prepared by Technical Committee ISO/TC 213
"Dimensional and geometrical product specifications and verification" in collaboration with Technical
Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the
secretariat of which is held by AFNOR.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by July 2019, and conflicting national standards shall be
withdrawn at the latest by July 2019.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN ISO 14405-2:2011.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia,
France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta,
Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and the United Kingdom.
Endorsement notice
The text of ISO 14405-2:2018 has been approved by CEN as EN ISO 14405-2:2019 without any
modification.


3

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SIST EN ISO 14405-2:2019

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SIST EN ISO 14405-2:2019
INTERNATIONAL ISO
STANDARD 14405-2
Second edition
2018-12
Geometrical product specifications
(GPS) — Dimensional tolerancing —
Part 2:
Dimensions other than linear or
angular sizes
Spécification géométrique des produits (GPS) — Tolérancement
dimensionnel —
Partie 2: Dimensions autres que tailles linéaires ou angulaires
Reference number
ISO 14405-2:2018(E)
©
ISO 2018

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SIST EN ISO 14405-2:2019
ISO 14405-2:2018(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2018
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting
on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address
below or ISO’s member body in the country of the requester.
ISO copyright office
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Fax: +41 22 749 09 47
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2018 – All rights reserved

---------------------- Page: 8 ----------------------

SIST EN ISO 14405-2:2019
ISO 14405-2:2018(E)

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 2
4 Principles and rules for indication of dimensions and related tolerances .2
5 Units used in drawings for dimensions . 3
6 Indication of tolerances for linear or angular dimensions . 4
7 Illustrations of ambiguous ± tolerancing vs. unambiguous geometrical specifications .4
7.1 General . 4
7.2 Linear distance between two integral features . 4
7.3 Linear distance between an integral and a derived feature . 6
7.4 Linear distance between two derived features . 7
7.5 Radius dimension . 8
7.6 Linear distance between non-planar integral features . 8
7.7 Linear distance in two directions . 9
8 Angular tolerancing .10
8.1 Examples of geometrical specifications applied to angular distance between two
integral features .10
8.2 Angular distance between an integral feature and a derived feature .11
Annex A (informative) Explanations and examples of the ambiguity caused by
using ± tolerances for dimensions other than linear size or angular size .13
Annex B (informative) Relation to the GPS matrix model .21
Bibliography .22
© ISO 2018 – All rights reserved iii

---------------------- Page: 9 ----------------------

SIST EN ISO 14405-2:2019
ISO 14405-2:2018(E)

Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www .iso .org/directives).
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www .iso .org/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see www .iso
.org/iso/foreword .html.
This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
This second edition cancels and replaces the first edition (ISO 14405-2:2011), which has been technically
revised.
The main changes compared to the previous edition are as follows:
— the addition of angular sizes to reflect ISO 14405-3;
— clarifications around specification ambiguity and the use of geometrical tolerancing;
— a review and update of all normative references and other ISO GPS standards referenced in the text.
A list of all parts in the ISO 14405 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www .iso .org/members .html.
iv © ISO 2018 – All rights reserved

---------------------- Page: 10 ----------------------

SIST EN ISO 14405-2:2019
ISO 14405-2:2018(E)

Introduction
This document is a geometrical product specification (GPS) standard and is to be regarded as a general
GPS standard (see ISO 14638). It influences chain link A of the chain of standards on distance.
The ISO GPS Matrix model given in ISO 14638 gives an overview of the ISO GPS system of which this
document is a part. The fundamental rules of ISO GPS given in ISO 8015 apply to this document and
the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this
document, unless otherwise indicated.
For dimensions other than linear or angular sizes, the requirement is ambiguous when applied to the
real workpiece. It is the presence of form and angular deviations on all real workpieces that makes
these requirements ambiguous, i.e. there is a specification ambiguity.
This specification ambiguity can only be avoided for features of size toleranced in accordance with
ISO 14405-1 or ISO 14405-3. For all other dimensions, geometrical specifications should be used in
order to control the specification ambiguity.
For more detailed information on the relation of this document to other standards and to the GPS
matrix model, see Annex B.
© ISO 2018 – All rights reserved v

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SIST EN ISO 14405-2:2019

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SIST EN ISO 14405-2:2019
INTERNATIONAL STANDARD ISO 14405-2:2018(E)
Geometrical product specifications (GPS) — Dimensional
tolerancing —
Part 2:
Dimensions other than linear or angular sizes
1 Scope
This document illustrates the ambiguity caused by the use of dimensional specifications to control
properties other than linear or angular size and the benefit of using geometrical specifications instead.
Dimensional tolerancing can be indicated by ± tolerancing or geometrical specifications.
The ambiguity caused by using ± tolerances for dimensions other than linear or angular sizes (for
individual tolerances and general tolerances according to, e.g. ISO 2768-1 and ISO 8062-3) is explained
in Annex A.
NOTE 1 The figures, as shown in this document, merely illustrate the text and are not intended to reflect
actual usage. The figures are consequently simplified to indicate only the relevant principles.
NOTE 2 For indications of dimensional specifications, see the following:
— ISO 14405-1 for linear size;
— ISO 14405-3 for angular size;
— ISO 2538-1 and ISO 2538-2 for wedges;
— ISO 3040 for cones.
NOTE 3 The rules for geometrical specifications are given in ISO 1101.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 129-1, Technical product documentation (TPD) — Presentation of dimensions and tolerances — Part 1:
General principles
ISO 1101, Geometrical product specifications (GPS) — Geometrical tolerancing — Tolerances of form,
orientation, location and run-out
ISO 8015, Geometrical product specifications (GPS) — Fundamentals — Concepts, principles and rules
ISO 13715, Technical product documentation — Edges of undefined shape — Indication and dimensioning
ISO 14405-1, Geometrical product specifications (GPS) — Dimensional tolerancing — Part 1: Linear sizes
ISO 14405-3, Geometrical product specifications (GPS) — Dimensional tolerancing — Part 3: Angular sizes
ISO 17450-1, Geometrical product specifications (GPS) — General concepts — Part 1: Model for geometrical
specification and verification
© ISO 2018 – All rights reserved 1

---------------------- Page: 13 ----------------------

SIST EN ISO 14405-2:2019
ISO 14405-2:2018(E)

ISO 17450-2, Geometrical product specifications (GPS) — General concepts — Part 2: Basic tenets,
specifications, operators, uncertainties and ambiguities
ISO 17450-3, Geometrical product specifications (GPS) — General concepts — Part 3: Toleranced features
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 129-1, ISO 1101, ISO 8015,
ISO 13715, ISO 14405-1, ISO 14405-3, ISO 17450-1, ISO 17450-2, ISO 17450-3 and the following apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https: //www .iso .org/obp
— IEC Electropedia: available at http: //www .electropedia .org/
The term “drawing” is used in this document as a synonym for the 2D drawing, the 3D model and other
representations of the workpiece.
3.1
± tolerancing
tolerancing using dimension and indication of limit deviations, dimension limit values or unilateral
dimension limit
Note 1 to entry: The sign ± should not be understood in a way that the limit deviations are always symmetrical
to the nominal size.
3.2
linear size
dimension in length units characterizing a feature of size
3.3
angular size
dimension in angle units characterizing a feature of size
3.4
distance
dimension between two geometrical features which are not considered as a feature of size
Note 1 to entry: Distance can be between two integral features or an integral feature and a derived feature or
two derived features.
Note 2 to entry: Linear distance (3.4.1) and angular distance (3.4.2) exist.
3.4.1
linear distance
distance (3.4) in length units
3.4.2
angular distance
distance (3.4) in angle units
4 Principles and rules for indication of dimensions and related tolerances
The general rules and principles for indicating ± tolerances given in ISO 14405-1 and ISO 14405-3 apply
to this document and are the basis for tolerancing on mechanical engineering drawings. In all other
cases, special rules apply.
For rules on the indication of units, see Clause 5.
2 © ISO 2018 – All rights reserved

---------------------- Page: 14 --------------------
...

SLOVENSKI STANDARD
oSIST prEN ISO 14405-2:2018
01-september-2018
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 3ULND]RYDQMHGLPHQ]LMLQ
WROHUDQFGHO'LPHQ]LMHUD]HQOLQHDUQLKGLPHQ]LMDOLYHOLNRVWLNRWRY ,62)',6

Geometrical product specifications (GPS) - Dimensional tolerancing - Part 2: Dimensions
other than linear or angular sizes (ISO/FDIS 14405-2:2018)
Spécification géométrique des produits (GPS) - Tolérancement dimensionnel - Partie 2:
Dimensions autres que tailles linéaires (ISO/FDIS 14405-2:2018)
Ta slovenski standard je istoveten z: prEN ISO 14405-2
ICS:
17.040.10 Tolerance in ujemi Limits and fits
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND *36 Specification (GPS)
oSIST prEN ISO 14405-2:2018 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

---------------------- Page: 1 ----------------------
oSIST prEN ISO 14405-2:2018

---------------------- Page: 2 ----------------------
oSIST prEN ISO 14405-2:2018
FINAL
INTERNATIONAL ISO/FDIS
DRAFT
STANDARD 14405-2
ISO/TC 213
Geometrical product specifications
Secretariat: BSI
(GPS) — Dimensional tolerancing —
Voting begins on:
2018-07-09
Part 2:
Voting terminates on:
Dimensions other than linear or
2018-10-01
angular sizes
Titre manque
ISO/CEN PARALLEL PROCESSING
RECIPIENTS OF THIS DRAFT ARE INVITED TO
SUBMIT, WITH THEIR COMMENTS, NOTIFICATION
OF ANY RELEVANT PATENT RIGHTS OF WHICH
THEY ARE AWARE AND TO PROVIDE SUPPOR TING
DOCUMENTATION.
IN ADDITION TO THEIR EVALUATION AS
Reference number
BEING ACCEPTABLE FOR INDUSTRIAL, TECHNO-
ISO/FDIS 14405-2:2018(E)
LOGICAL, COMMERCIAL AND USER PURPOSES,
DRAFT INTERNATIONAL STANDARDS MAY ON
OCCASION HAVE TO BE CONSIDERED IN THE
LIGHT OF THEIR POTENTIAL TO BECOME STAN-
DARDS TO WHICH REFERENCE MAY BE MADE IN
©
NATIONAL REGULATIONS. ISO 2018

---------------------- Page: 3 ----------------------
oSIST prEN ISO 14405-2:2018
ISO/FDIS 14405-2:2018(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2018
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting
on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address
below or ISO’s member body in the country of the requester.
ISO copyright office
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Fax: +41 22 749 09 47
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2018 – All rights reserved

---------------------- Page: 4 ----------------------
oSIST prEN ISO 14405-2:2018
ISO/FDIS 14405-2:2018(E)

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 2
4 Principles and rules for indication of dimensions and related tolerances .2
5 Units used in drawings for dimensions . 3
6 Indication of tolerances for linear and angular dimensions . 4
7 Illustrations of ambiguous ± tolerancing vs. unambiguous geometrical specifications .4
7.1 General . 4
7.2 Linear distance between two integral features . 4
7.3 Linear distance between an integral and a derived feature . 6
7.4 Linear distance between two derived features . 7
7.5 Radius dimension . 8
7.6 Linear distance between non-planar integral features . 8
7.7 Linear distance in two directions . 9
8 Angular tolerancing .10
8.1 Examples of geometrical specifications applied to angular distance between two
integral features .10
8.2 Angular distance between an integral feature and a derived feature .11
Annex A (informative) Explanations and examples of the ambiguity caused by
using ± tolerances for dimensions other than linear size or angular size .13
Annex B (informative) Relation to the GPS matrix model .21
Bibliography .23
© ISO 2018 – All rights reserved iii

---------------------- Page: 5 ----------------------
oSIST prEN ISO 14405-2:2018
ISO/FDIS 14405-2:2018(E)

Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www .iso .org/directives).
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www .iso .org/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation on the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see www .iso
.org/iso/foreword .html.
This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
This second edition cancels and replaces the first edition (ISO 14405-2:2011), which has been technically
revised.
The main changes compared to the previous edition are as follows:
— the addition of angular sizes to reflect ISO 14405-3;
— clarifications around specification ambiguity and the use of geometrical tolerancing;
— a review and update of all normative references and other ISO GPS standards referenced in the text.
A list of all parts in the ISO 14405 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www .iso .org/members .html.
iv © ISO 2018 – All rights reserved

---------------------- Page: 6 ----------------------
oSIST prEN ISO 14405-2:2018
ISO/FDIS 14405-2:2018(E)

Introduction
This document is a geometrical product specification (GPS) standard and is to be regarded as a general
GPS standard (see ISO 14638). It influences chain link A of the chain of standards on distance.
The ISO GPS Matrix model given in ISO 14638 gives an overview of the ISO GPS system of which this
document is a part. The fundamental rules of ISO GPS given in ISO 8015 apply to this document and
the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this
document, unless otherwise indicated.
For dimensions other than linear or angular sizes, the requirement is ambiguous when applied to the
real workpiece. It is the presence of form and angular deviations on all real workpieces that makes
these requirements ambiguous, i.e. there is a specification ambiguity.
This specification ambiguity can only be avoided for features of size toleranced in accordance with
ISO 14405-1. For all other dimensions, geometrical specifications should be used in order to control the
specification ambiguity.
For more detailed information on the relation of this document to other standards and to the GPS
matrix model, see Annex B.
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oSIST prEN ISO 14405-2:2018

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oSIST prEN ISO 14405-2:2018
FINAL DRAFT INTERNATIONAL STANDARD ISO/FDIS 14405-2:2018(E)
Geometrical product specifications (GPS) — Dimensional
tolerancing —
Part 2:
Dimensions other than linear or angular sizes
1 Scope
This document illustrates the ambiguity caused by the use of dimensional specifications to control
properties other than linear and angular size and the benefit of using geometrical specifications
instead.
Dimensional tolerancing can be indicated by ± tolerancing or geometrical specifications.
The ambiguity caused by using ± tolerances for dimensions other than linear sizes (for individual
tolerances and general tolerances according to, e.g. ISO 2768-1 and ISO 8062-3) is explained in Annex A.
NOTE 1 The figures, as shown in this document, merely illustrate the text and are not intended to reflect
actual usage. The figures are consequently simplified to indicate only the relevant principles.
NOTE 2 For indications of dimensional specifications, see the following:
— ISO 14405-1 for linear size;
— ISO 14405-3 for angular size;
— ISO 2538-1 and ISO 2538-2 for wedges;
— ISO 3040 for cones.
NOTE 3 The rules for geometrical specifications are given in ISO 1101.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 129-1, Technical product documentation (TPD) — Presentation of dimensions and tolerances — Part 1:
General principles
ISO 1101, Geometrical product specifications (GPS) — Geometrical tolerancing — Tolerances of form,
orientation, location and run-out
ISO 8015, Geometrical product specifications (GPS) — Fundamentals — Concepts, principles and rules
ISO 13715, Technical product documentation — Edges of undefined shape — Indication and dimensioning
ISO 14405-1, Geometrical product specifications (GPS) — Dimensional tolerancing — Part 1: Linear sizes
ISO 14405-3, Geometrical product specifications (GPS) — Dimensional tolerancing — Part 3: Angular sizes
ISO 17450-1, Geometrical product specifications (GPS) — General concepts — Part 1: Model for geometrical
specification and verification
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oSIST prEN ISO 14405-2:2018
ISO/FDIS 14405-2:2018(E)

ISO 17450-2, Geometrical product specifications (GPS) — General concepts — Part 2: Basic tenets,
specifications, operators, uncertainties and ambiguities
ISO 17450-3, Geometrical product specifications (GPS) — General concepts — Part 3: Toleranced features
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 129-1, ISO 1101, ISO 8015,
ISO 13715, ISO 14405-1, ISO 14405-3, ISO 17450-1, ISO 17450-2, ISO 17450-3 and the following apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https: //www .iso .org/obp
— IEC Electropedia: available at http: //www .electropedia .org/
The term “drawing” is used in this document as a synonym for the 2D drawing, the 3D model and other
representations of the workpiece.
3.1
± tolerancing
tolerancing using dimension and indication of limit deviations, dimension limit values or unilateral
dimension limit
Note 1 to entry: The sign ± should not be understood in a way that the limit deviations are always symmetrical
to the nominal size.
3.2
linear size
dimension in length units characterizing a feature of size
3.3
angular size
dimension in angle units characterizing a feature of size
3.4
distance
dimension between two geometrical features which are not considered as a feature of size
Note 1 to entry: Distance can be between two integral features or an integral feature and a derived feature or
two derived features.
Note 2 to entry: Linear distance (3.4.1) and angular distance (3.4.2) exist.
3.4.1
linear distance
distance (3.4) in length units
3.4.2
angular distance
distance (3.4) in angle units
4 Principles and rules for indication of dimensions and related tolerances
The general rules and principles for indicating ± tolerances given in ISO 14405-1 apply to this
document and are the basis for tolerancing on mechanical engineering drawings. In all other cases,
special rules apply.
For rules on the indication of units, see Clause 5.
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oSIST prEN ISO 14405-2:2018
ISO/FDIS 14405-2:2018(E)

For dimensions other than linear or angular sizes, a requirement with ± tolerancing is ambiguous
(specification ambiguity) when applied to a real workpiece. This type of specification is not
recommended; see Annex A.
Specification ambiguity of dimensional specifications can be avoided for linear features of size when
specified in accordance with ISO 14405-1 and for angular features of size when specified in accordance
with ISO 14405-3. In order to minimize specification ambiguity, geometrical specifications shall be
used for the cases illustrated in Table 1.
Unless otherwise specified, e.g. by using CZ according to ISO 1101 or according to ISO 2692, tolerances
on mechanical engineering drawings are independent requirements without any relationships to other
requirements for the same feature(s). This is the independency principle (see ISO 8015).
Table 1 — Types of dimensions which are not sizes
Characterization, type Type of
Details in
and number of features dimension
Radius
Integral or derived 7.5, A.6, A.7
dimension
One feature
Integral or derived Arc length A.12
Facing
Linear distance
the same 7.2, A.2
or step height
direction
Integral —
Facing
integral
the
Two features
Linear
Linear distance 7.2, 7.6, A.3, A.8
opposite
dimension
direction
(length units)
Integral — derived Linear distance 7.3, 7.7, A.4, A.9
Derived — derived Linear distance 7.4, A.5
Dimension
Edge Chamfer Chamfer height
A.11
(transi- shape and angle
tion region
Integral
between
Round-
Edge radius A.11
two integral
ing shape
features)
ISO 14405-3, 8.1,
Angular
ISO 2538-1
Integral — integral
distance
Angular
ISO 2538-2
dimension
Two features
Angular
Integral — derived 8.2, A.10
(angle units) distance
Angular
Derived — derived —
distance
5 Units used in drawings for dimensions
The default units for dimensions are the following.

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