SIST EN ISO 14405-2:2012

SLOVENSKI STANDARD
SIST EN ISO 14405-2:2012
01-marec-2012
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND*363ULND]RYDQMHGLPHQ]LMLQ
WROHUDQFGHO'LPHQ]LMHNLQLVROLQHDUQH,62
Geometrical product specifications (GPS) - Dimensional tolerancing - Part 2: Dimensions
other than linear sizes (ISO 14405-2:2011)
Geometrische Produktspezifikation (GPS) - Geometrische Tolerierung - Teil 2: Andere
als lineare Maße (ISO 14405-2:2011)
Spécification géométrique des produits (GPS) - Tolérancement dimensionnel - Partie 2:
Dimensions autres que les tailles linéaires (ISO 14405-2:2011)
Ta slovenski standard je istoveten z: EN ISO 14405-2:2011
ICS:
17.040.10 Tolerance in ujemi Limits and fits
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND*36 Specification (GPS)
SIST EN ISO 14405-2:2012 en,fr
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 14405-2:2012

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SIST EN ISO 14405-2:2012


EUROPEAN STANDARD
EN ISO 14405-2

NORME EUROPÉENNE

EUROPÄISCHE NORM
December 2011
ICS 17.040.10
English Version
Geometrical product specifications (GPS) - Dimensional
tolerancing - Part 2: Dimensions other than linear sizes (ISO
14405-2:2011)
Spécification géométrique des produits (GPS) - Geometrische Produktspezifikation (GPS) - Geometrische
Tolérancement dimensionnel - Partie 2: Dimensions autres Tolerierung - Teil 2: Andere als lineare Maße (ISO 14405-
que les tailles linéaires (ISO 14405-2:2011) 2:2011)
This European Standard was approved by CEN on 15 October 2011.

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, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland,
Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.





EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2011 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 14405-2:2011: E
worldwide for CEN national Members.

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SIST EN ISO 14405-2:2012
EN ISO 14405-2:2011 (E)
Contents Page
Foreword .3

2

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SIST EN ISO 14405-2:2012
EN ISO 14405-2:2011 (E)
Foreword
This document (EN ISO 14405-2:2011) 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 June 2012, and conflicting national standards shall be withdrawn at
the latest by June 2012.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent rights.
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, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia,
Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain,
Sweden, Switzerland and the United Kingdom.
Endorsement notice
The text of ISO 14405-2:2011 has been approved by CEN as a EN ISO 14405-2:2011 without any
modification.

3

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SIST EN ISO 14405-2:2012

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SIST EN ISO 14405-2:2012

INTERNATIONAL ISO
STANDARD 14405-2
First edition
2011-12-01

Geometrical product specifications
(GPS) — Dimensional tolerancing —
Part 2:
Dimensions other than linear sizes
Spécification géométrique des produits (GPS) — Tolérancement
dimensionnel —
Partie 2: Dimensions autres que tailles linéaires




Reference number
ISO 14405-2:2011(E)
©
ISO 2011

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SIST EN ISO 14405-2:2012
ISO 14405-2:2011(E)

COPYRIGHT PROTECTED DOCUMENT


©  ISO 2011
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56  CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland

ii © ISO 2011 – All rights reserved

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SIST EN ISO 14405-2:2012
ISO 14405-2:2011(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 . 3
5  Units used in drawings for dimensions . 4
6  Indication of tolerances for linear and angular dimensions . 4
7  Illustrations of ambiguous  tolerancing vs. unambiguous geometrical tolerancing . 4
7.1  General . 4
7.2  Linear distance between two integral features . 5
7.3  Linear distance between an integral and a derived feature . 7
7.4  Linear distance between two derived features . 8
7.5  Radius dimension . 9
7.6  Linear distance between non-planar integral features . 9
7.7  Linear distance in two directions . 10
8  Angular tolerancing . 11
8.1  Plus/minus tolerancing applied to angular distance . 11
8.2  Examples of geometrical tolerancing applied to angular distance between two integral
features . 12
8.3  Angular distance between an integral feature and a derived feature . 13
Annex A (informative) Explanations and examples of the ambiguity caused by using  tolerances
for dimensions other than linear size . 14
Annex B (informative) Relation to the GPS matrix model . 21
Bibliography . 23

© ISO 2011 – All rights reserved iii

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SIST EN ISO 14405-2:2012
ISO 14405-2:2011(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.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
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.
ISO 14405-2 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
This first edition of ISO 14405-2 cancels and replaces ISO 406:1987.
ISO 14405 consists of the following parts, under the general title Geometrical product specifications (GPS) —
Dimensional tolerancing:
 Part 1: Linear sizes
 Part 2: Dimensions other than linear sizes
iv © ISO 2011 – All rights reserved

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SIST EN ISO 14405-2:2012
ISO 14405-2:2011(E)
Introduction
This part of ISO 14405 is a geometrical product specification (GPS) standard and is to be regarded as a
general GPS standard (see ISO/TR 14638). In the general GPS matrix, it influences chain link 1 in the
distance and radius chains of standards and chain links 1, 2 and 3 in the angle chain of standards.
The ISO/GPS Masterplan given in ISO/TR 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 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.
It has to be realized that this specification ambiguity can only be avoided for features of size toleranced in
accordance with ISO 14405-1. For all other dimensions, geometrical tolerancing should be used in order to
control the specification ambiguity.
For more detailed information on the relation of this part of ISO 14405 to other standards and to the GPS
matrix model, see Annex B.

© ISO 2011 – All rights reserved v

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SIST EN ISO 14405-2:2012

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SIST EN ISO 14405-2:2012
INTERNATIONAL STANDARD ISO 14405-2:2011(E)

Geometrical product specifications (GPS) — Dimensional
tolerancing —
Part 2:
Dimensions other than linear sizes
1 Scope
This part of ISO 14405 illustrates the use of geometrical tolerancing for dimensions that are not linear sizes to
avoid the ambiguity that the use of  tolerances on these dimensions causes. Both linear and angular
dimensions, except size of features of size are covered.
Dimensional tolerancing can be indicated by  tolerancing or geometrical tolerancing.
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 part of ISO 14405, 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 size tolerances, see the following:
 ISO 14405-1 for linear size;
 ISO 2538 for wedges;
 ISO 3040 for cones.
NOTE 3 The rules for geometrical tolerancing are given in ISO 1101.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the cited editions apply. For undated references, the latest edition of the referenced
document (including any amendments) applies.
1)
ISO 129-1:— , Technical drawings — Indication of dimensions and tolerances — Part 1: General principles
ISO 286-1:2010, Geometrical product specifications (GPS) — ISO code system for tolerances on linear
sizes — Part 1: Basis of tolerances, deviations and fits
ISO 2538:1998, Geometrical Product Specifications (GPS) — Series of angles and slopes on prisms
2)
ISO 1101:— , Geometrical Product Specifications (GPS) — Geometrical tolerancing — Tolerances of form,
orientation, location and run-out

1) To be published. (Revision of ISO 129-1:2004)
2) To be published. (Revision of ISO 1101:2004)
© ISO 2011 – All rights reserved 1

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SIST EN ISO 14405-2:2012
ISO 14405-2:2011(E)
ISO 8015:2011, Geometrical product specifications (GPS) — Fundamentals — Concepts, principles and rules
ISO 13715:2000, Technical drawings — Edges of undefined shape — Vocabulary and indications
ISO 14405-1:2010, Geometrical product specifications (GPS) — Dimensional tolerancing — Linear sizes
ISO 14660-1:1999, Geometrical Product Specifications (GPS) — Geometrical features — Part 1: General
terms and definitions
ISO 14660-2:1999, Geometrical Product Specifications (GPS) — Geometrical features — Part 2: Extracted
median line of a cylinder and a cone, extracted median surface, local size of an extracted feature
3 )
ISO 17450-1:— , Geometrical product specifications (GPS) — General concepts — Part 1: Model for
geometrical specification and verification
4 )
ISO 17450-2:— , Geometrical product specifications (GPS) — General concepts — Part 2: Basic tenets,
specifications, operators, uncertainties and ambiguities
3 Terms and definitions
For the purpose of this document, the terms and definitions given in ISO 129-1, ISO 1101, ISO 8015,
ISO 13715, ISO 14405-1, ISO 14660-1, ISO 14660-2, ISO 17450-1, ISO 17450-2 and the following apply.
The term “drawing” is used in this part of ISO 14405 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 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 Distance can be between two integral features or an integral feature and a derived feature or two derived
features.
NOTE 2 Linear distance and angular distance exist.
3.4.1
linear distance
distance in length units

3) To be published. (Revision of ISO/TS 17450-1:2005)
4) To be published. (Revision of ISO/TS 17450-2:2002)
2 © ISO 2011 – All rights reserved

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SIST EN ISO 14405-2:2012
ISO 14405-2:2011(E)
3.4.2
angular distance
distance 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 part of
ISO 14405 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.
For dimensions other than linear 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 can only be avoided for linear sizes toleranced in accordance with ISO 14405-1. In
order to control specification ambiguity, geometrical tolerancing shall be used.
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).
Several types of dimensions exist in the nominal model of the workpiece (see Table 1).
Table 1 — Types of dimensions
Characterization, type and number of Type of
Details in
features dimension
Integral – only features of size Linear size ISO 14405-1
Radius
One feature Integral or derived 7.5, A.6, A.7
dimension
Integral or derived Arc length A.12
Facing
Linear distance
the same 7.2, A.2
or step height
direction
Integral – integral
Facing
the
Linear dimension Two features
Linear distance 7.2, 7.6, A.3, A.8
opposite
(length units)
direction
Integral – derived Linear distance 7.3, 7.7, A.4, A.9
Derived – derived Linear distance 7.4, A.5
D
...