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DRAFT AMENDMENT
ISO 14405-1.2:2010/DAM 1
ISO/TC 213 Secretariat: DS
Voting begins on: Voting terminates on:
2013-11-21 2014-01-21
Geometrical product specifications (GPS) — Dimensional
tolerancing —
Part 1:
Linear sizes
AMENDMENT 1
Spécification géométrique des produits (GPS) — Tolérancement dimensionnel —
Partie 1: Tailles linéaires
AMENDEMENT 1
ICS: 17.040.10
ISO/CEN PARALLEL PROCESSING
This draft has been developed within the International Organization for
Standardization (ISO), and processed under the ISO lead mode of collaboration
as defined in the Vienna Agreement.
This draft is hereby submitted to the ISO member bodies and to the CEN member
bodies for a parallel five month enquiry.

Should this draft be accepted, a final draft, established on the basis of comments

received, will be submitted to a parallel two-month approval vote in ISO and
THIS DOCUMENT IS A DRAFT CIRCULATED
formal vote in CEN.
FOR COMMENT AND APPROVAL. IT IS
THEREFORE SUBJECT TO CHANGE AND MAY
NOT BE REFERRED TO AS AN INTERNATIONAL
STANDARD UNTIL PUBLISHED AS SUCH.
To expedite distribution, this document is circulated as received from the
IN ADDITION TO THEIR EVALUATION AS
committee secretariat. ISO Central Secretariat work of editing and text
BEING ACCEPTABLE FOR INDUSTRIAL,
composition will be undertaken at publication stage.
TECHNOLOGICAL, COMMERCIAL AND
USER PURPOSES, DRAFT INTERNATIONAL
STANDARDS MAY ON OCCASION HAVE TO
BE CONSIDERED IN THE LIGHT OF THEIR
POTENTIAL TO BECOME STANDARDS TO
WHICH REFERENCE MAY BE MADE IN
Reference number
NATIONAL REGULATIONS.
ISO 14405-1.2:2010(E)/DAM 1
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 SUPPORTING DOCUMENTATION. ISO 2013
---------------------- Page: 1 ----------------------
ISO 14405-1.2:2010(E)/DAM 1
Copyright notice

This ISO document is a Draft International Standard and is copyright-protected by ISO. Except as

permitted under the applicable laws of the user’s country, neither this ISO draft nor any extract

from it may be reproduced, stored in a retrieval system or transmitted in any form or by any means,

electronic, photocopying, recording or otherwise, without prior written permission being secured.

Requests for permission to reproduce should be addressed to either ISO at the address below or ISO’s

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E-mail copyright@iso.org
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Reproduction may be subject to royalty payments or a licensing agreement.
Violators may be prosecuted.
ii © ISO 2013 – All rights reserved
---------------------- Page: 2 ----------------------
ISO/DIS 14405-1.2
Contents Page

Foreword..............................................................................................................................................................v

Introduction........................................................................................................................................................vi

1  Scope ......................................................................................................................................................1

2  Normative references ............................................................................................................................2

3  Terms and definitions ...........................................................................................................................3

4  Specification modifiers and symbols ............................................................................................... 17

5  Default specification operator for size ............................................................................................. 21

5.1  General................................................................................................................................................. 21

5.2  ISO default specification operator for size ...................................................................................... 21

5.3  Drawing-specific default specification operator for size................................................................ 22

6  Drawing indication for special specification operators for size.................................................... 23

6.1  General................................................................................................................................................. 23

6.2  Indication with one or more specification operators...................................................................... 25

7  Indication of the toleranced feature on which the size characteristic is defined ........................ 30

7.1  Complete toleranced feature of size................................................................................................. 30

7.2  Specific fixed restricted portion of the feature of size.................................................................... 30

7.3  Any restricted portion of the feature of size of a specified length ................................................ 31

7.4  Any cross section of a feature of size .............................................................................................. 32

7.5  Specific cross section of a feature of size ....................................................................................... 33

7.6  Requirement applied individually for more than one feature of size ............................................ 35

7.7  Requirement applied simultaneously for more than one feature and considered as one

feature of size...................................................................................................................................... 35

7.8  Flexible/non-rigid parts ...................................................................................................................... 36

8  Complementary indication................................................................................................................. 37

Annex A (normative) Proportions and dimensions of graphical symbols................................................. 38

Annex B (informative) Overview diagram for size ........................................................................................ 39

Annex C (informative) Former practice and consequences ........................................................................ 40

Annex D (informative) Dat handling with rank-order modifiers................................................................... 41

Annex E (informative) Relation to the GPS matrix model ............................................................................ 49

Bibliography..................................................................................................................................................... 51

iv © ISO 2013 – All rights reserved
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ISO/DIS 14405-1.2
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 14405-1 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product

specification and verification.

This second edition cancels and replaces the first edition (ISO 14405-1:2010), clause 1, subclauses 3.1, 3.6,

3.11, 3.13, 5.3, 6.1, 6.2, 7.3, 7.8, tables 1 and 2 and figure(s) 3, 4, 9, 11, 12, 17, B.1 which have been

technically revised. Clause 8, Figure 29, Annexes D and E have been added.

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
⎯ Part 3: Angular sizes
© ISO 2013 – All rights reserved v
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ISO/DIS 14405-1.2
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). It influences chain links 1 to 3 of the chain of standards on size.

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 more detailed information of the relation of this part of ISO 14405 to other standards and the GPS matrix

model, see Annex F.

Produced workpieces exhibit deviations from the ideal geometric form. The real value of the dimension of a

feature of size is dependent on the form deviations and on the specific type of size applied.

The type of size to be applied to a feature of size depends on the function of the workpiece.

The type of size can be indicated on the drawing by a specification modifier for controlling the feature

definition and evaluation method to be used.
vi © ISO 2013 – All rights reserved
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DRAFT INTERNATIONAL STANDARD ISO/DIS 14405-1.2
Geometrical product specifications (GPS) — Dimensional
tolerancing — Part 1: Linear sizes
Part 1:
Linear sizes

IMPORTANT — The illustrations included in this International Standard are intended to illustrate the

text and/or to provide examples of the related technical drawing specification; these illustrations are

not fully dimensioned and toleranced, showing only the relevant general principles. As a

consequence, the illustrations are not a representation of a complete workpiece, and are not of a

quality that is required for use in industry (in terms of full conformity with the standards prepared by

ISO/TC 10 and ISO/TC 213), and as such are not suitable for projection for teaching purposes

1 Scope

This part of ISO 14405 establishes the default specification operator for linear size and defines a number of

special specification operators for linear size for features of size e.g "cylinder", "sphere", "torus", "circle", "two

parallel opposite planes", or "two parallel opposite straight lines".

It also defines the specification modifiers and the drawing indications for these linear sizes.

This part of ISO 14405 covers the following linear sizes:
⎯ local size;
⎯ two-point size;
⎯ spherical size;
⎯ least material outer size;
⎯ section size;
⎯ portion size;
⎯ global size;
⎯ direct global linear size;
⎯ least-squares size;
⎯ maximum inscribed size;
⎯ minimum circumscribed size;
⎯ minmax size;
⎯ indirect global linear size;
⎯ calculated size;
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ISO/DIS 14405-1.2
⎯ circumference diameter;
⎯ area diameter;
⎯ volume diameter;
⎯ rank-order size;
⎯ maximum size;
⎯ minimum size;
⎯ average size;
⎯ median size;
⎯ mid-range size;
⎯ range size;
⎯ quadratic range of sizes.
This part of ISO 14405 defines tolerances of linear sizes when there is:
⎯ a + and/or − limit deviation (e.g. 0/−0,019) (see Figure 9);

⎯ an upper limit of size (ULS) and/or lower limit of size (LLS) (e.g. 15,2 max., 12 min. or 30,2/30,181)

(see Figure 11);

⎯ an ISO tolerance class code in accordance with ISO 286-1 (e.g. 10 h6) (see Figure 10)

with or without modifiers (see Tables 1 and 2).

This part of ISO 14405 provides a set of tools to express several types of size characteristic. It does not

present any information on the relationship between a function or a use and a size characteristic.

2 Normative references

The following referenced documents are indispensable for the application 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 286-1:2010, Geometrical product specifications (GPS) — ISO code system for tolerances on linear

sizes — Part 1: Basis of tolerances, deviations and fits

ISO 10579:2010, Geometrical product specifications (GPS) — Dimensioning and tolerancing — Non-rigid

parts

ISO 8015:2011, Geometrical product specifications (GPS) — Fundamentals — Concepts, principles and rules

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

ISO 17450-1:2011, Geometrical product specifications (GPS) — General concepts — Part 1: Model for

geometrical specification and verification

ISO 17450-2:2012, Geometrical product specifications (GPS) — General concepts — Part 2: Basic tenets,

specifications, operators and uncertainties
2 © ISO 2013 – All rights reserved
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ISO/DIS 14405-1.2

ISO 81714-1:2010, Design of graphical symbols for use in the technical documentation of products — Part 1:

Basic rules
3 Terms and definitions

For the purposes of this document, the terms and definitions of ISO 286-1, ISO 8015, ISO 14660-2,

ISO 17450-1, ISO 17450-2 and the following apply.
3.1
specification modifier

GPS specification element that changes the default definition of the basic GPS specification when applied

NOTE Specification modifiers may be defined by International Standards, national standards or by company

standards/documents.
[SOURCE: ISO 17450-2:2012, 3.4.2]
3.2
feature of size
feature of linear size or feature of angular size
[SOURCE: ISO 17450-1:2011, 3.3.1.5]

Note 1 to entry Figures 1 and 2 illustrate a feature of size, type cylinder or two parallel opposite planes..

Note 2 to entry This part of ISO 14405 only deals with features of linear size which can be a cylinder, a sphere, two

parallel opposite planes, a circle (intersection of a revolute surface and a plane perpendicular to the axis of the associated

surface), two parallel opposite straight lines (longitudinal section of a surface and a plane which is established

symmetrically to the associated axis for a cylindrical surface or a plane perpendicular to the plane of a prismatic surface),

two opposite circles (intersection of a pair of revolute surface and a plane perpendicular to the axis of the revolute surface.

Note 3 to entry Two opposite straight lines can be symmetrically established from the associated axis for a

cylindrical surface or a plane perpendicular to the plane of a prismatic surface), two opposite circles

(intersection of a pair of revolute surface and a plane perpendicular to the axis of the revolute surface or

intersection of a collection of two single surfaces and a section feature which is a cylinder).

© ISO 2013 – All rights reserved 3
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ISO/DIS 14405-1.2
a) Nominal features of size (internal and external)
b) Extracted feature
Size of internal feature of size.
Size of external feature of size.
Figure 1 — Feature of sizes relative to two opposite planes
4 © ISO 2013 – All rights reserved
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ISO/DIS 14405-1.2
a) Nominal features of size (internal and external)
b) Extracted feature
Size of internal feature of size.
Size of external feature of size.
Figure 2 — Example of feature of size relative to a cylinder
3.3
upper limit of size (characteristic)
ULS
largest permissible value applied to a size characteristic (3.9)
3.4
lower limit of size (characteristic)
LLS
smallest permissible value applied to a size characteristic (3.9)
3.5
default specification operator
ordered set of default specification operations only, in the default order
Note 1 to entry The default specification operator can be

⎯ an ISO default specification operator specified by ISO International Standards, or

⎯ a national default specification operator specified by national standards, or

⎯ a company default specification operator specified by company standards/documents, or

⎯ a drawing default specification operator indicated on the drawing according to one of the above.

Note 2 to entry The default specification operator applies when the ISO basic GPS specification is used on the

drawing.
© ISO 2013 – All rights reserved 5
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ISO/DIS 14405-1.2

Note 3 to entry According to the ISO basic GPS specification for size, the tolerance is indicated by upper and/or lower

deviation limits, or upper and/or lower limits of size (see Table 4), or by ISO tolerance codes in accordance with ISO 286-1

with no specification modifiers (3.1).

Note 4 to entry The ISO default specification operator for size is given in this part of ISO 14405 (see 5.2).

[SOURCE Adapted from ISO 17450-2:2012. The definition and note1 to entry are identical and the original second note

and examples are not included here. Notes 2 to 4 to entry have been added].
3.6
drawing-specific default GPS specification operator

specification operator required by technical documentation, applicable or all basic GPS specifications of the

actual drawing, and containing only default specification operations in the default order

Note 1 to entry See ISO 8015.

Note 2 to entry The drawing-specific default specification operator of size is indicated by a specific statement close to

the title block (see 5.3).
3.7
special specification operator

specification operator which is required when a special GPS specification is used, including one or more

special specification operations.

Note 1 to entry The special specification operator is defined by a GPS specification.

Note 2 to entry A special specification operator may be a complete specification operator or an incomplete

specification operator.

Note 3 to entry A special specification operator can be established from a default operator by modifying one or more

operations.

EXAMPLE 1 The specification for a shaft of ∅30 ± 0,1 is a special specification operator, because one of the

specification operations, the association of the minimum circumscribed cylinder, is not a default specification operation.

EXAMPLE 2 The specification of Ra 1,5 using a 2,5 mm filter for a surface is a special specification operator, because

one of the specification operations, the cut-off length used in the filtration, is not a default specification operation.

[SOURCE: ISO 17450-2:2012, 3.2.7]
3.8
size

intrinsic characteristic of a feature of size (3.2) that can be defined on a nominal feature or on an associated

feature

Note 1 to entry In this part of ISO 14405, for example, the size corresponds to the diameter of a cylinder, or to the

distance between two parallel opposite planes. Depending on the type of feature of size, the terms “diameter” and

“distance” are synonyms for size.

Note 2 to entry A size is angular (e.g. angle of a cone) or linear (e.g. diameter of a cylinder). This part of ISO 14405

only deals with linear size.

Note 3 to entry One of the property of the feature of size is its unique nominal size along to it.

3.9
size characteristic
characteristic relative to a size (3.8) and defined from an extracted feature
See Figure B.1.
6 © ISO 2013 – All rights reserved
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ISO/DIS 14405-1.2

Note 1 to entry A size can be evaluated by more than one size characteristic (e.g. the two-point diameter or the

diameter of the associated feature, taken on the extracted feature).
3.10
local size
local linear size
local size characteristic
local linear size characteristic

size characteristic (3.9) having by definition a non-unique result of evaluation along and/or around the

feature of size (3.2)
Note 1 to entry For a given feature, an infinity of local sizes exists.

Note 2 to entry In this part of ISO 14405, “local size” is used instead of “local linear size”.

Note 3 to entry In Figure 3, examples of local size are shown. These examples do not take into account the rank-

order size (3.11.2.2).
Note 4 to entry Elementary type of size characteristic are defined in Annex E.
3.10.1
two-point size

〈local size〉 distance between two opposite points taken on the feature of size (3.2)

Note 1 to entry A two-point size taken on cylinder can be called a “two-point diameter”. In ISO 14660-2, this is defined

as a local diameter of an extracted cylinder.

Note 2 to entry A two-point size taken on two opposite planes can be called a “two-point distance”. In ISO 14660-2,

this is defined as a local size of two parallel extracted surfaces.
Note 3 to entry
3.10.2
section size
global size (3.11) for a given cross section of the extracted feature

Note 1 to entry A section size is a local size (3.10) for the complete toleranced feature of size (3.2).

Note 2 to entry The cross section is defined with the same criterion as the one taken to define the direct global size

(3.11.1).

Note 3 to entry On an extracted feature that corresponds to a cylinder, it is possible to define an infinite number of

cross sections in which the diameter of the associated circle can be defined (with a specific association criterion). This is a

section size.
3.10.3
portion size
global size (3.11) for a given portion of the extracted feature

Note 1 to entry A portion size is a local size (3.10) for the complete toleranced feature of size (3.2).

3.10.4
spherical size
〈local size〉 diameter of the maximum inscribed sphere
See Figure 3 c).
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ISO/DIS 14405-1.2
3.10.5
least outer material size

〈local size〉 distance between one point taken on the feature of size (3.2), and another point of it belonging to

its opposite side obtained by maximizing the distance for internal feature of size (hole) or by minimizing the

distance for an external feature of size (shaft)
See Figure 3 f).
a) Extracted feature under consideration which could be either an
internal or external feature and either a cylinder or two opposite planes
b) Two-point sizes – Extracted median line or surface (see ISO 14660-2)
c) Spherical sizes

NOTE Any section size is given by the diameter of maximum inscribed circle defined in the corresponding cross

section"
d) Section size obtained from a direct global size with maximum
inscribed criterion (other criteria are possible)
8 © ISO 2013 – All rights reserved
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ISO/DIS 14405-1.2
NOTE Only a portion of the extracted feature of length L is considered.

e) Portion size from a direct global size with maximum inscribed criterion (other criteria are possible)

f) Size characteristic obtained from two spheres in contact with the feature of size by optimization in

the space in two perpendicular directions of the dimension of the size itself
Key
d size [in Figure 3 b)]
L considered length of the portion of the cylinder
P position
S∅d diameter of the maximum inscribed sphere
Figure 3 — Examples of local size
3.11
global size
global linear size
global size characteristic
global linear size characteristic

size characteristic (3.9) having by definition a unique result of evaluation along and around the toleranced

feature of size (3.2)
3.11.1
direct global size
direct global linear size
direct global size characteristic
direct global linear size characteristic

global size (3.11) equals to the size of the associated feature, which is of the same geometrical type as the

feature of size (3.2)

Note 1 to entry The different direct global linear sizes on the complete toleranced feature are given in Figure 4.

Note 2 to entry Different criteria may be used for this operation of association, and different results are obtained

depending on the criterion chosen. The association criteria described in this part of ISO 14405 are total least-squares,

maximum inscribed, minimum circumscribed and minmax criteria.
3.11.1.1
least-squares size

direct global size (3.11) for which the associated feature is established from the extracted feature(s) with the

total least-squares criterion

Note 1 to entry In this part of ISO 14405, “total least-squares” is referred to only as “least-squares”. It minimizes the

sum of the square of distances existing between the associated feature and the extracted feature with variation of its size,

its location and its orientation.
© ISO 2013 – All rights reserved 9
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ISO/DIS 14405-1.2
3.11.1.2
maximum inscribed size

direct global size (3.11.1) for which the associated feature is established from the extracted feature(s) with

the maximum inscribed criterion

Note 1 to entry In the case of an internal feature of size, the maximum inscribed size was previously called “mating

size for an internal feature”. It maximizes the size of the associated feature with variation of its size, its location and its

orientation with constraint of contact between extracted feature and associated feature).

3.11.1.3
minimum circumscribed size

direct global size (3.11.1) for which the associated feature is established from the extracted feature(s) with

the minimum circumscribed criterion

Note 1 to entry In the case of an external feature of size, the minimum circumscribed size was previously called

“mating size for an external feature”. It minimizes the size of the associated feature with variation of its size, its location

and its orientation with constraint of contact between extracted feature and associated feature).

3.11.1.4
minmax size
Chebychev size

direct global size (3.11.1) for which the associated feature is established from extracted feature(s) with the

minmax criterion

Note 1 to entry The minmax criterion without constraint of inside or outside material gives the medium feature of the

minimum zone including the real feature of size." It minimizes the maximum value of the set of distances between the

points of extracted feature and the associated feature with variation of its size, its location and its orientation without

material constraint.
3.11.2
indirect global size
indirect global linear size
indirect global size characteristic
indirect global linear size characteristic
rank-order size (3.11.2.2) or global calculated size (3.11.2.1)

Note 1 to entry An indirect global size can be, for example, an average of a set of two-point size values taken on the

extracted cylindrical surface.
10 © ISO 2013 – All rights reserved
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ISO/DIS 14405-1.2
a) Extracted feature under consideration which could be either an
internal or external feature and either a cylinder or two opposite planes
b) Maximum inscribed size
c) Minimum circumscribed size
d) Least-squares size
e) Minmax size
Figure 4 — Illustration of direct global sizes
3.11.2.1
calculated size

size (3.8) obtained by using a mathematical formula that relates the intrinsic characteristic of a feature to one

or several other dimensions of the same feature

Note 1 to entry The calculated size can be a local size (3.10) or a global size (3.11).

© ISO 2013 – All rights reserved 11
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ISO/DIS 14405-1.2
3.11.2.1.1
circumference diameter

〈of an extracted cylinder〉 calculated size (3.11.2.1), giving the diameter, d, obtained from the following

equation:

where L is the length of the integral extracted line in a cross section, normal to the axis of the least-squares

associated cylinder
See Figure 5.
Note 1 to entry The circumference diameter is defined in a cross section.

Note 2 to entry Several criteria can be used for the operation of association to orient the cross section, and different

results are obtained according to the chosen criterion. The default criterion is the least-squares associated cylinder of the

feature (see ISO 14660-2:1999, 4.2.1).

Note 3 to entry In cases where the feature is non-convex, the circumference diameter can be larger than the minimum

circumscribed diameter and depends on the filtration criteria used.
a) b)
Key
L length of the outline (extracted line)
d circumference diameter, equal to L divided by π
Figure 5 — Example of circumference diameter
3.11.2.1.2
area diameter

〈of an extracted cylinder〉 calculated size (3.11.2.1), giving the diameter, d, obtained from the following

equation:

where A is the area limited by the integral extracted line of a cross section, normal to the axis of the

...

PROJET D'AMENDEMENT ISO 14405-1:2010/DAM 1
ISO/TC 213 Secrétariat: DS
Début de vote Vote clos le
2012-08-09 2013-01-09

INTERNATIONAL ORGANIZATION FOR STANDARDIZATION  МЕЖДУНАРОДНАЯ ОРГАНИЗАЦИЯ ПО СТАНДАРТИЗАЦИИ  ORGANISATION INTERNATIONALE DE NORMALISATION

Spécification géométrique des produits (GPS) — Tolérancement
dimensionnel —
Partie 1:
Tailles linéaires
AMENDEMENT 1
Geometrical product specifications (GPS) — Dimensional tolerancing —
Part 1: Tailles linéaires
AMENDMENT 1
ICS ##.###.##
TRAITEMENT PARALLÈLE ISO/CEN

Le présent projet a été élaboré dans le cadre de l'Organisation internationale de normalisation (ISO) et

soumis selon le mode de collaboration sous la direction de l'ISO, tel que défini dans l'Accord de

Vienne.

Le projet est par conséquent soumis en parallèle aux comités membres de l'ISO et aux comités

membres du CEN pour enquête de cinq mois.

En cas d'acceptation de ce projet, un projet final, établi sur la base des observations reçues, sera

soumis en parallèle à un vote d'approbation de deux mois au sein de l'ISO et à un vote formel au sein

du CEN.

Pour accélérer la distribution, le présent document est distribué tel qu'il est parvenu du

secrétariat du comité. Le travail de rédaction et de composition de texte sera effectué au

Secrétariat central de l'ISO au stade de publication.

To expedite distribution, this document is circulated as received from the committee

secretariat. ISO Central Secretariat work of editing and text composition will be undertaken at

publication stage.

CE DOCUMENT EST UN PROJET DIFFUSÉ POUR OBSERVATIONS ET APPROBATION. IL EST DONC SUSCEPTIBLE DE MODIFICATION ET NE

PEUT ETRE CITE COMME NORME INTERNATIONALE AVANT SA PUBLICATION EN TANT QUE TELLE.

OUTRE LE FAIT D'ETRE EXAMINES POUR ETABLIR S'ILS SONT ACCEPTABLES A DES FINS INDUSTRIELLES, TECHNOLOGIQUES ET

COMMERCIALES, AINSI QUE DU POINT DE VUE DES UTILISATEURS, LES PROJETS DE NORMES INTERNATIONALES DOIVENT PARFOIS ETRE

CONSIDERES DU POINT DE VUE DE LEUR POSSIBILITE DE DEVENIR DES NORMES POUVANT SERVIR DE REFERENCE DANS LA

REGLEMENTATION NATIONALE.

LES DESTINATAIRES DU PRÉSENT PROJET SONT INVITÉS À PRÉSENTER, AVEC LEURS OBSERVATIONS, NOTIFICATION DES DROITS DE PRO-

PRIÉTÉ DONT ILS AURAIENT ÉVENTUELLEMENT CONNAISSANCE ET À FOURNIR UNE DOCUMENTATION EXPLICATIVE.

© Organisation Internationale de Normalisation, 2012
---------------------- Page: 1 ----------------------
ISO 14405-1:2010/DAM 1
Notice de droit d'auteur

Ce document de l'ISO est un projet de Norme internationale qui est protégé par les droits d'auteur de l'ISO.

Sauf autorisé par les lois en matière de droits d'auteur du pays utilisateur, aucune partie de ce projet ISO ne

peut être reproduite, enregistrée dans un système d'extraction ou transmise sous quelque forme que ce soit

et par aucun procédé électronique ou mécanique, y compris la photocopie, les enregistrements ou autres,

sans autorisation écrite préalable.

Les demandes d'autorisation de reproduction doivent être envoyées à l'ISO à l'adresse ci-après ou au

comité membre de l'ISO dans le pays du demandeur.
ISO copyright office
Case postale 56  CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
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Toute reproduction est soumise au paiement de droits ou à un contrat de licence.
Les contrevenants pourront être poursuivis.
ii © ISO 2012 – Tous droits réservés
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ISO 14405-1:2010/DAM 1
Avant-propos

L’ISO (Organisation internationale de normalisation) est une fédération mondiale d’organismes nationaux de

normalisation (comités membres de l’ISO). L’élaboration des Normes internationales est en général confiée

aux comités techniques de l’ISO. Chaque comité membre intéressé par une étude a le droit de faire partie du

comité technique créé à cet effet. Les organisations internationales, gouvernementales et non

gouvernementales, en liaison avec l’ISO participent également aux travaux. L’ISO collabore étroitement avec

la Commission électrotechnique internationale (CEI) en ce qui concerne la normalisation électrotechnique.

Les Normes internationales sont rédigées conformément aux règles données dans les Directives ISO/CEI,

Partie 2.

La tâche principale des comités techniques est d’élaborer les Normes internationales. Les projets de Normes

internationales adoptés par les comités techniques sont soumis aux comités membres pour vote. Leur

publication comme Normes internationales requiert l’approbation de 75 % au moins des comités membres

votants.

L’attention est appelée sur le fait que certains des éléments du présent document peuvent faire l’objet de

droits de propriété intellectuelle ou de droits analogues. L’ISO ne saurait être tenue pour responsable de ne

pas avoir identifié de tels droits de propriété et averti de leur existence.

L’Amendement 1 à l’ISO 14405-1:2010 a été élaboré par le comité technique ISO/TC 213, Spécifications et

vérification dimensionnelles et géométriques des produits.
© ISO 2012 – Tous droits réservés iii
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ISO 14405-1:2010/DAM 1
Introduction
Résolutions 231 (Paris 5/2011) et 232 (Paris 6/2011) de l’ISO/TC 213/GT 12.
iv © ISO 2012 – Tous droits réservés
---------------------- Page: 4 ----------------------
PROJET D'AMENDEMENT ISO 14405-1:2010/DAM 1
Spécification géométrique des produits (GPS) —
Tolérancement dimensionnel — Partie 1: Tailles linéaires
ère
Page 1, Domaine d’application, remplacer la 1 phrase par ce qui suit :

« La présente partie de l’ISO 14405 établit l’opérateur de spécification par défaut pour la taille linéaire et

définit un ensemble d’opérateurs de spécification spéciaux pour la taille linéaire des entités dimensionnelles

de type « cylindre », « deux plans parallèles opposés », « sphère », « cercle » ou « deux droites parallèles

opposées » ».

Pour la taille linéaire globale directe, ajouter à la liste « taille de la zone minimale » après « taille minimale

circonscrite ».
À la fin de la liste, après « étendue de tailles », ajouter :
« - étendue quadratique de tailles. »
Page 3, définition 3.2, remplacer la NOTE 3 par ce qui suit :

NOTE 3 Les Figures 1 et 2 illustrent une entité dimensionnelle de type « cylindre » ou « deux plans parallèles

opposés ».
Page 3, définition 3.2, ajouter la note suivante :

NOTE 4 Les entités dimensionnelles linéaires peuvent être un cylindre, une sphère, deux plans parallèles opposés, un

cercle (section droite d’une surface de révolution et d’un plan perpendiculaire à l’axe de la surface de révolution), deux

droites parallèles opposées (section longitudinale d’une surface et d’un plan qui est symétrique à l’axe dans le cas d’une

surface de révolution ou d’un plan perpendiculaire au plan de symétrie dans le cas d’une surface prismatique).

Page 8, Figure 3 d), supprimer l’image de droite.

Ajouter la note suivante : « Toute taille dans une section est donnée par le diamètre du cercle maximal inscrit

défini dans toute section droite ».

Déplacer la note de la Figure 3 e) en dessous de la figure, juste avant son titre.

Page 6, remplacer la définition 3.6 par ce qui suit :

« opérateur de spécification requis par la documentation technique, seulement applicable à toutes les

spécifications GPS ISO de base du dessin considéré, et contenant uniquement des opérations de

spécification par défaut dans l’ordre par défaut »
© ISO 2012 – Tous droits réservés 1
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ISO 14405-1:2010/DAM 1
Page 9, ajouter la définition suivante :
3.11.1.4
taille du minmax
taille de Chebychev

caractéristique relative à la taille (3.8) définie comme la taille de l’élément associé

établie à partir du ou des éléments extraits à l’aide du critère minmax

NOTE Le critère minmax donne, sans contrainte d’intérieur ou d’extérieur matière, l’élément médian de la zone

minimale incluant l’entité dimensionnelle réelle.
Page 13, ajouter la définition suivante :
3.11.2.2.7
étendue quadratique de tailles

taille par ordre de rang (3.11.2.2) définie comme l’écart-type de l’ensemble des valeurs d’une taille locale le

long et/ou autour de l’élément tolérancé
Page 10, Figure 4, ajouter la figure e) suivante :
e) Taille minmax

Page 14, Figure 8, ajouter la légende 9 (sur la figure sur laquelle apparaissent les légendes 1, 3, 4, 8) avec le

texte correspondant :
9 étendue quadratique de tailles : 0,30178
2 © ISO 2012 – Tous droits réservés
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ISO 14405-1:2010/DAM 1
Page 15, remplacer la définition actuelle 3.13 par ce qui suit :

ensemble constitué par plusieurs éléments géométriques séparés et considéré comme une entité

dimensionnelle (3.2)
Page 15, Tableau 1, ajouter les lignes suivantes :
Après GN
Critère d’association du minmax
À la fin du tableau
Étendue quadratique de tailles

Page 16, Tableau 2, remplacer « Tolérance commune » par « Entité dimensionnelle commune » et ajouter

une ligne à la fin du tableau comme ci-dessous :
Description Symbole Référence Exemple d’indication
Exigence d’enveloppe 6.2.2
10 ± 0,1
N’importe quelle portion /Longueur 7.3
10 ± 0,1 /5
restreinte de l’élément
Label 10 ± 0,1
Page 18, modifier les Figures 9, 10 et 11 comme suit :
Figure 9 a) remplacer -0,035 par -0,013
Figure 11 a) remplacer 25,900 par 20,000
25,860 19,087
Figure 9 b) remplacer -0,087 par -0,033
Figure 11 b) remplacer 20,000 par 20,000
19,970 19,067
Et ajouter la note suivante :

NOTE Les trois spécifications des Figures 9, 10 et 11 sont identiques, mais elles sont écrites de manière différente.

Elles utilisent toutes l’opérateur de spécification par défaut ISO pour la taille.

© ISO 2012 – Tous droits réservés 3
---------------------- Page: 7 ----------------------
ISO 14405-1:2010/DAM 1

Page 19, renuméroter la Figure 12 en Figure 12 a) et ajouter la Figure 12 b) suivante :

12 a) 12 b)
Page 19, remplacer la NOTE 1 et la NOTE 3 par :

NOTE 1 L’opérateur de spécification par défaut pour ce dessin n’est pas la taille entre deux points mais est changé en

taille des moindres carrés [voir Figure 12 a)]. Autres exemples possibles :

« Taille ISO 14405 » qui change l’opérateur de spécification par défaut en exigence d’enveloppe [voir Figure 12 b)], ou

« Taille ISO 14405 » qui change l’opérateur de spécification par défaut en diamètre circonférentiel, etc.

NOTE 3 Pour faciliter la lecture du dessin, il est possible d’indiquer la liste de tous les autres types de modificateurs

entre parenthèses après l’indication de la spécification par défaut [voir Figure 12 b)].

Page 19, supprimer la NOTE 2 et renuméroter les autres notes.
ème
Page 20, remplacer le 4 alinéa par ce qui suit :

Les autres modificateurs de spécification doivent être utilisés dans l’ordre suivant (certains peuvent être omis

dans une spécification de tolérance) après la valeur de tolérance ou le code de tolérance ou la ou les valeurs

de la limite de taille :

 modificateur du type de caractéristique dimensionnelle : taille locale, globale ou calculée, par exemple :

, , ou ;

 modificateur pour une portion restreinte fixe ou pour n’importe quelle portion restreinte ou pour n’importe

quelle section droite de l’entité dimensionnelle complète, par exemple « /25 » ou « ACS » (voir 7.2, 7.3,

7.4).

Si une spécification dimensionnelle est appliquée à n’importe quelle portion restreinte ou à n’importe

quelle section droite d’un élément géométrique, alors le modificateur correspondant peut être précédé

d’un modificateur d’ordre de rang, par exemple , ou , pour permettre de transformer un

ensemble de résultats possibles sur chaque portion ou chaque section en un résultat unique, c’est-à-dire

de calculer une caractéristique globale à partir d’une caractéristique locale en appliquant un modificateur

d’ordre de rang pour chaque portion ou chaque section (voir Exemple 1) ;
 modificateur pour une section droite spécifique « SCS » (voir 7.5) ;
4 © ISO 2012 – Tous droits réservés
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ISO 14405-1:2010/DAM 1

 modificateur d’ordre de rang, par exemple , ou ; disponible lorsque la caractéristique, qui est

décrite par la séquence de modificateurs implicites ou explicites, qui peut la précéder, conserve une

caractéristique locale (voir Exemple 2). Lorsque l’élément tolérancé est « n’importe quelle portion de

l’élément » ou une « n’importe quelle section droite de l’élément » ou une « n’importe quelle section

droite sur une portion de l’élémen
...

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