Geometrical product specifications (GPS) - Dimensional tolerancing - Part 1: Linear sizes (ISO 14405-1:2010)

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 feature of size types “cylinder” and “two parallel opposite planes”. 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;
⎯ section size;
⎯ portion size;
⎯ global size;
⎯ direct global linear size;
⎯ least-squares size;
⎯ maximum inscribed size;
⎯ minimum circumscribed size;
⎯ indirect global linear size;
⎯ calculated size;
⎯ circumference diameter;
⎯ area diameter;
⎯ volume diameter;
⎯ rank-order size;
⎯ maximum size;
⎯ minimum size;
⎯ average size;
⎯ median size;
⎯ mid-range size;
⎯ range size.
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.

Geometrische Produktspezifikation (GPS) - Dimensionelle Tolerierung - Teil 1: Längenmaße (ISO 14405-1:2010)

Dieser Teil von ISO 14405 führt den Standardspezifikationsoperator für Längenmaße ein und legt eine Anzahl
von besonderen Spezifikationsoperatoren für Längenmaße für die Maßelemente vom Typ „Zylinder“ und „zwei
parallele sich gegenüberliegende Flächen“ fest. Er legt ebenfalls die Spezifikations-Modifikationssymbole und
die Zeichnungseintragungen für diese Längenmaße fest. Dieser Teil von ISO 14405 deckt die folgenden
Längenmaße ab:
⎯ örtliches Maß;
⎯ Zweipunktmaß;
⎯ sphärisches Maß;
⎯ Querschnittsmaß;
⎯ Teilbereichsmaß;
⎯ Globales Maß;
⎯ direktes globales Längenmaß;
⎯ Maß, berechnet nach der Methode der kleinsten Quadrate;
⎯ größtes einbeschriebenes Maß;
⎯ kleinstes umschriebenes Maß;
⎯ indirektes globales Längenmaß;
⎯ berechnetes Maß;
⎯ umfangsbezogener Durchmesser;
⎯ flächenbezogener Durchmesser;
⎯ volumenbezogener Durchmesser;
⎯ Rangordnungsmaß;
⎯ größtes Maß oder größter Durchmesser;
⎯ kleinstes Maß oder kleinster Durchmesser;
⎯ Mittelwert des Maßes oder Mittelwert des Durchmesser;
⎯ Median des Maßes;
⎯ mittleres Maß einer Spanne;
⎯ Maß einer Spanne.
Dieser Teil von ISO 14405 legt die Toleranzen für Längenmaße fest, wenn
⎯ ein + und/oder − Grenzabweichung (z. B. 0/−0,019) (siehe Bild 9);
⎯ eine obere Maßgrenze (ULS) und/oder eine untere Maßgrenze (LLS) (z. B. 15,2 max., 12 min. oder
30,2/30,181) (siehe Bild 11);
⎯ ein ISO-Toleranzcode entsprechend ISO 286-1 (z. B. 10 h6) (siehe Bild 10)
mit oder ohne Modifikationssymbolen (siehe Tabellen 1 und 2) vorhanden ist.
Dieser Teil von ISO 14405 stellt eine Menge von Werkzeugen zur Verfügung, um verschiedene Arten von
Maßmerkmalen auszudrücken. Er gibt keinerlei Informationen über den Zusammenhang zwischen einer
Funktion oder einer Verwendung und einem Maßmerkmal.

Spécification géométrique des produits (GPS) - Tolérancement dimensionnel - Partie 1: Tailles linéaires (ISO 14405-1:2010)

L'ISO 14405-1:2010 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» et de type «deux plans parallèles opposés». Elle définit également les modificateurs de spécification et les indications relatives aux tailles linéaires à faire figurer sur les dessins. Elle couvre les tailles linéaires suivantes: taille locale, taille globale, taille calculée et taille par ordre de rang.
L'ISO 14405-1:2010 définit les tolérances sur les tailles linéaires spécifiées sous la forme d'écarts limites positifs et/ou négatifs, de limites supérieures de taille (ULS) et/ou limites inférieures de taille (LLS), ou d'une classe de tolérance dimensionnelle conformément à l'ISO 286‑1, avec ou sans modificateurs.
L'ISO 14405-1:2010 donne des boîtes d'outils pour exprimer plusieurs types de caractéristiques dimensionnelles. Elle ne donne aucune information sur la relation entre une fonction ou une utilisation et une caractéristique dimensionnelle.

Specifikacija geometrijskih veličin izdelka - Tolerance dimenzij - 1. del: Dolžinske mere (ISO 14405-1:2010)

Ta del ISO 14405 vzpostavlja privzeti specifikacijski operator za dolžinske mere in definira število posebnih specifikacijskih operatorjev za dolžinske mere za tipe velikosti »cilinder« in »dve vzporedni nasprotni ravni«. Prav tako določa specifikacijske modifikatorje in navodila za risanje za te dolžinske mere. Ta del ISO 14405 zajema naslednje dolžinske mere:
⎯ lokalna velikost;
⎯ dvotočkovna velikost;
⎯ sferična velikost;
⎯ velikost odseka;
⎯ velikost dela;
⎯ globalna velikost;
⎯ direktna globalna dolžinska mera;
⎯ velikost najmanjših kvadratov;
⎯ maksimalna napisana velikost;
⎯ minimalna omejena velikost;
⎯ indirektna globalna dolžinska mera;
⎯ izračunana velikost;
⎯ premer obsega;
⎯ premer območja;
⎯ premer volumna;
⎯ red velikosti;
⎯ maksimalna velikost;
⎯ minimalna velikost;
⎯ povprečna velikost;
⎯ mediana velikosti;
⎯ srednja velikost;
⎯ velikost razpona.
Ta del ISO 14405 definira tolerance dolžinskih mer, kadar je:
⎯ a + in/ali – mejno odstopanje (npr. 0/-0,019) (glej sliko 9);
⎯ zgornja meja velikosti (ULS) in/ali spodnja meja velikosti (LLS) (npr. maks 15,2, min. 12 ali 30,2/30,181) (glej sliko 11);
⎯ koda razreda tolerance ISO v skladu z ISO 286-1 (npr. 10 h6) (glej sliko 10)
z modifikatorji ali brez njih (glej preglednici 1 in 2).
Ta del ISO 14405 zagotavlja nabor orodij za izražanje več vrst značilnosti velikosti. Ne predstavlja nobenih informacij o odnosu med funkcijo ali uporabo ter značilnostjo velikosti.

General Information

Status
Withdrawn
Publication Date
28-Nov-2011
Withdrawal Date
27-Sep-2016
Technical Committee
Current Stage
9900 - Withdrawal (Adopted Project)
Start Date
28-Sep-2016
Due Date
21-Oct-2016
Completion Date
28-Sep-2016

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SLOVENSKI STANDARD
SIST EN ISO 14405-1:2012
01-januar-2012

6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND7ROHUDQFHGLPHQ]LMGHO'ROåLQVNH

PHUH ,62

Geometrical product specifications (GPS) - Dimensional tolerancing - Part 1: Linear sizes

(ISO 14405-1:2010)
Geometrische Produktspezifikation (GPS) - Dimensionelle Tolerierung - Teil 1:
Längenmaße (ISO 14405-1:2010)

Spécification géométrique des produits (GPS) - Tolérancement dimensionnel - Partie 1:

Tailles linéaires (ISO 14405-1:2010)
Ta slovenski standard je istoveten z: EN ISO 14405-1:2010
ICS:
17.040.10 Tolerance in ujemi Limits and fits
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND *36 Specification (GPS)
SIST EN ISO 14405-1:2012 en,fr,de

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 14405-1:2012
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SIST EN ISO 14405-1:2012
EUROPEAN STANDARD
EN ISO 14405-1
NORME EUROPÉENNE
EUROPÄISCHE NORM
December 2010
ICS 17.040.10
English Version
Geometrical product specifications (GPS) - Dimensional
tolerancing - Part 1: Linear sizes (ISO 14405-1:2010)

Spécification géométrique des produits (GPS) - Geometrische Produktspezifikation (GPS) - Dimensionelle

Tolérancement dimensionnel - Partie 1: Tailles linéaires Tolerierung - Teil 1: Längenmaße (ISO 14405-1:2010)

(ISO 14405-1:2010)
This European Standard was approved by CEN on 13 November 2010.

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

© 2010 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 14405-1:2010: E

worldwide for CEN national Members.
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SIST EN ISO 14405-1:2012
EN ISO 14405-1:2010 (E)
Contents Page

Foreword ..............................................................................................................................................................3

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SIST EN ISO 14405-1:2012
EN ISO 14405-1:2010 (E)
Foreword

This document (EN ISO 14405-1:2010) has been prepared by Technical Committee ISO/TC 213 “Dimensional

and geometrical product specifications and verification” in collaboration with the 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 2011, and conflicting national standards shall be withdrawn at

the latest by June 2011.

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 14405-1:2010 has been approved by CEN as a EN ISO 14405-1:2010 without any

modification.
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SIST EN ISO 14405-1:2012
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SIST EN ISO 14405-1:2012
INTERNATIONAL ISO
STANDARD 14405-1
First edition
2010-12-15
Geometrical product specifications
(GPS) — Dimensional tolerancing —
Part 1:
Linear sizes
Spécification géométrique des produits (GPS) — Tolérancement
dimensionnel —
Partie 1: Tailles linéaires
Reference number
ISO 14405-1:2010(E)
ISO 2010
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
PDF disclaimer

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COPYRIGHT PROTECTED DOCUMENT
© ISO 2010

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.
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Published in Switzerland
ii © ISO 2010 – All rights reserved
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
Contents Page

Foreword ............................................................................................................................................................iv

Introduction.........................................................................................................................................................v

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

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

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

4 Specification modifiers and symbols................................................................................................14

5 Default specification operator for size..............................................................................................16

5.1 General .................................................................................................................................................16

5.2 ISO default specification operator for size .......................................................................................17

5.3 Drawing-specific default specification operator for size ................................................................18

6 Drawing indication for special specification operators for size.....................................................18

6.1 General .................................................................................................................................................18

6.2 Indication with one or more specification operators.......................................................................20

7 Indication of the toleranced feature on which the size characteristic is defined.........................23

7.1 Complete toleranced feature of size..................................................................................................23

7.2 Specific fixed restricted portion of the feature of size ....................................................................24

7.3 Any restricted portion of the feature of size of a specified length.................................................25

7.4 Any cross section of a feature of size...............................................................................................26

7.5 Specific cross section of a feature of size........................................................................................27

7.6 Requirement applied individually for more than one feature of size.............................................28

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

feature of size ......................................................................................................................................28

7.8 Flexible/non-rigid parts.......................................................................................................................29

Annex A (normative) Proportions and dimensions of graphical symbols .................................................30

Annex B (informative) Overview diagram for size .........................................................................................31

Annex C (informative) Former practice and consequences.........................................................................32

Annex D (informative) Relation to the GPS matrix model.............................................................................33

Bibliography......................................................................................................................................................35

© ISO 2010 – All rights reserved iii
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(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 14405-1 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product

specifications and verification.

ISO 14405 consists of the following parts, under the general title Geometrical product specification (GPS) —

Dimensional tolerancing:
⎯ Part 1: Linear sizes
⎯ Part 2: Dimensions other than linear sizes
iv © ISO 2010 – All rights reserved
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(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). 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 D.

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.
© ISO 2010 – All rights reserved v
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SIST EN ISO 14405-1:2012
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SIST EN ISO 14405-1:2012
INTERNATIONAL STANDARD ISO 14405-1:2010(E)
Geometrical product specifications (GPS) — Dimensional
tolerancing —
Part 1:
Linear sizes
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 feature of size types “cylinder” and “two parallel opposite

planes”. 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;
⎯ section size;
⎯ portion size;
⎯ global size;
⎯ direct global linear size;
⎯ least-squares size;
⎯ maximum inscribed size;
⎯ minimum circumscribed size;
⎯ indirect global linear size;
⎯ calculated size;
⎯ circumference diameter;
⎯ area diameter;
⎯ volume diameter;
⎯ rank-order size;
⎯ maximum size;
⎯ minimum size;
⎯ average size;
⎯ median size;
© ISO 2010 – All rights reserved 1
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
⎯ mid-range size;
⎯ range size.
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:— , Geometrical product specifications (GPS) — Fundamentals — Concepts, principles and rules

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

2 )

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

geometrical specification and verification

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

specifications, operators and uncertainties

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

Basic rules
1) To be published. (Revision of ISO 8015:1985)
2) To be published. (Revision of ISO/TS 17450-1:2005)
3) To be published. (Revision of ISO/TS 17450-2:2002)
4) To be published. (Revision of ISO 81714-1:1999)
2 © ISO 2010 – All rights reserved
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
3 Terms and definitions

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

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.
[ISO 17450-2:—, 3.5.2]
3.2
feature of size
geometrical shape defined by a linear or angular dimension which is a size (3.8)

NOTE 1 The features of size can be a cylinder, a sphere, two parallel opposite surfaces, a cone or a wedge.

NOTE 2 In International Standards such as ISO 286-1 and ISO/R 1938, the meanings of the terms “plain workpiece”

and “single features” are close to that of “feature of size”.
[ISO 14660-1:1999, 2.2]

NOTE 3 The types of feature of size covered by this part of ISO 14405 are given in Figures 1 and 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
© ISO 2010 – All rights reserved 3
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
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
ULS
largest permissible size of a feature of size (3.2)
[ISO 286-1:2010, 3.2.3.1]
3.4
lower limit of size
LLS
smallest permissible size of a feature of size (3.2)
[ISO 286-1:2010, 3.2.3.2]
3.5
default specification operator
ordered set of default specification operations only, in the default order
NOTE 1 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.

4 © ISO 2010 – All rights reserved
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)

NOTE 2 The default specification operator applies when the ISO basic GPS specification is used on the drawing.

NOTE 3 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 The ISO default specification operator for size is given in this part of ISO 14405 (see 5.2).

NOTE 5 Adapted from ISO 17450-2:—. The definition and first note are identical and the original second note and

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

specification operator required by technical documentation, applicable only for the actual specification and

containing only default specification operations in the default order
NOTE 1 See ISO 8015.

NOTE 2 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 including one or more special specification operations
NOTE 1 The special specification operator is defined by a GPS specification.

NOTE 2 A special specification operator may be a complete specification operator or an incomplete specification

operator.

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.

[ISO 17450-2:—, 3.3.7]
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 In this part of ISO 14405, 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 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.
3.9
size characteristic
characteristic relative to a size (3.8) and defined on an extracted feature
See Figure B.1.

NOTE 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).
© ISO 2010 – All rights reserved 5
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
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 For a given feature, an infinity of local sizes exists.

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

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

size (3.11.2.2).
3.10.1
two-point size

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

NOTE 1 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 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.
3.10.2
section size
global size (3.11) for a given cross section of the extracted feature

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

NOTE 2 The cross section is defined with the same criterion as the one taken to define the direct global size (3.11.1).

NOTE 3 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 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

NOTE This local size, defined by a sphere, applies to the feature of size types “cylinder” and “two parallel opposite

planes”.
See Figure 3 c).
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
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 size
c) Spherical size
d) Section size obtained from a direct global size with maximum
inscribed criterion (other criteria are possible)
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)

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
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
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〉 size (3.8) of the associated feature, which is of the same geometrical type as the feature of

size (3.2)

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

NOTE 2 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 and minimum circumscribed.
3.11.1.1
least-squares size

〈global size〉 size (3.8) of the associated feature established from the extracted feature(s) with the total

least-squares criterion

NOTE In this part of ISO 14405, “total least-squares” is referred to only as “least-squares”.

3.11.1.2
maximum inscribed size

〈global size〉 size (3.8) of the associated feature established from the extracted feature(s) with the maximum

inscribed criterion

NOTE In the case of an internal feature of size, the maximum inscribed size was previously called “mating size for an

internal feature”.
3.11.1.3
minimum circumscribed size

〈global size〉 size (3.8) of the associated feature established from the extracted feature(s) with the minimum

circumscribed criterion

NOTE In the case of an external feature of size, the minimum circumscribed size was previously called “mating size

for an external feature”.
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 An indirect global size can be, for example, an average of a set of two-point size values taken on the extracted

cylindrical surface.
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
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
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 The calculated size can be a local size (3.10) or a global size (3.11).
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
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SIST EN ISO 14405-1:2012
ISO 14405-1:2010(E)
See Figure 5.
NOTE 1 The circumference diameter is defined in a cross section.

NOTE 2 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 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
...

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