Geometrical product specifications (GPS) - Dimensioning and tolerancing - Cones (ISO 3040:2016)

ISO 3040:2016 specifies graphical indication applicable to a cone (right-angle circular cones) to define its dimensioning or to specify its tolerancing.
For the purposes of this International Standard, the term "cone" relates to right-angle circular cones only (any intersection by a plane perpendicular to the axis of the nominal cone is a circle).
NOTE 1 For simplicity, only truncated cones have been represented in this International Standard. However, this International Standard can be applied to any type of cone within its scope.
NOTE 2 This International Standard is not intended to prevent the use of other methods of dimensioning and tolerancing.

Geometrische Produktspezifikation (GPS) - Bemaßung und Tolerierung - Kegel (ISO 3040:2016)

Diese Internationale Norm spezifiziert die Zeichnungseintragungen für einen Kegel (rechtwinklige kreisförmige Kegel) zur Definition seiner Bemaßung oder Spezifikation seiner Tolerierung.
Für den Zweck dieser Internationalen Norm bezieht sich der Begriff „Kegel“ nur auf rechtwinklige kreisförmige Kegel (jeder Schnittpunkt durch eine Ebene senkrecht zur Achse des Nennkegels ist ein Kreis).
ANMERKUNG 1   Zur Vereinfachung wurden nur abgeschnittene Kegel in dieser Internationalen Norm dargestellt. Diese Internationale Norm kann allerdings innerhalb ihres Anwendungsbereiches auf beliebige Kegeltypen angewendet werden.
ANMERKUNG 2   Es ist nicht die Absicht dieser Internationalen Norm, die Verwendung anderer Methoden der Bemaßung und Toleranzfestlegung auszuschließen.

Spécification géométrique des produits (GPS) - Cotation et tolérancement - Cônes (ISO 3040:2016)

ISO 3040:2016 spécifie l'indication graphique applicable à un cône (cônes de révolution) pour définir sa cotation ou pour spécifier son tolérancement.
Pour les besoins de la présente Norme internationale, le terme « cône » se rapporte seulement aux cônes de revolution (toute intersection par un plan perpendiculaire à l'axe du cône nominal est un cercle).
NOTE 1 Dans la présente Norme internationale, seuls les troncs de cônes ont été représentés, ceci à des fins de simplification. Cependant la présente Norme internationale peut s'appliquer à tous types de cônes, dans le cadre de son domaine d'application.
NOTE 2 II n'est pas dans l'intention de la présente Norme internationale d'empêcher l'emploi d'autres méthodes de cotation et de tolérancement.

Specifikacija geometrijskih veličin izdelka (GPS) - Dimenzioniranje in toleriranje - Konusi (ISO 3040:2016)

Ta mednarodni standard določa grafične oznake za konuse (pravokotne krožne konuse), s katerimi se določi dimenzioniranje ali toleriranje.
V tem mednarodnem standardu se izraz »konus« nanaša samo na pravokotne krožne konuse (vsak presek z ravnino pravokotno na os nominalnega konusa je krog).
OPOMBA 1: Zaradi poenostavitve so v tem mednarodnem standardu predstavljeni samo skrajšani konusi, vendar se lahko standard uporablja za katero koli vrsto konusa, ki spada v njegovo področje uporabe.
OPOMBA 2: Ta mednarodni standard ne preprečuje uporabe drugih načinov dimenzioniranja in toleriranja.

General Information

Status
Published
Publication Date
03-May-2016
Current Stage
6060 - Definitive text made available (DAV) - Publishing
Due Date
04-May-2016
Completion Date
04-May-2016

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SLOVENSKI STANDARD
SIST EN ISO 3040:2016
01-julij-2016
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SIST EN ISO 3040:2012

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Geometrical product specifications (GPS) - Dimensioning and tolerancing - Cones (ISO

3040:2016)
Geometrische Produktspezifikation (GPS) - Maßeintragung und Toleranzfestlegung -
Kegel (ISO 3040:2016)

Spécification géométrique des produits (GPS) - Cotation et tolérancement - Cônes (ISO

3040:2016)
Ta slovenski standard je istoveten z: EN ISO 3040:2016
ICS:
01.100.20 Konstrukcijske risbe Mechanical engineering
drawings
17.040.10 Tolerance in ujemi Limits and fits
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND *36 Specification (GPS)
SIST EN ISO 3040:2016 en

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

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SIST EN ISO 3040:2016
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SIST EN ISO 3040:2016
EN ISO 3040
EUROPEAN STANDARD
NORME EUROPÉENNE
May 2016
EUROPÄISCHE NORM
ICS 17.040.30 Supersedes EN ISO 3040:2012
English Version
Geometrical product specifications (GPS) - Dimensioning
and tolerancing - Cones (ISO 3040:2016)

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

Cotation et tolérancement - Cônes (ISO 3040:2016) Maßeintragung und Toleranzfestlegung - Kegel (ISO

3040:2016)
This European Standard was approved by CEN on 1 November 2015.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this

European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references

concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN

member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by

translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management

Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,

Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,

Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and

United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels

© 2016 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 3040:2016 E

worldwide for CEN national Members.
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SIST EN ISO 3040:2016
EN ISO 3040:2016 (E)
Contents Page

European foreword ....................................................................................................................................................... 3

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SIST EN ISO 3040:2016
EN ISO 3040:2016 (E)
European foreword

This document (EN ISO 3040:2016) 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 November 2016, and conflicting national standards

shall be withdrawn at the latest by November 2016.

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.
This document supersedes EN ISO 3040:2012.

According to the CEN-CENELEC Internal Regulations, the national standards organizations of the

following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Croatia,

Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France,

Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands,

Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the

United Kingdom.
Endorsement notice

The text of ISO 3040:2016 has been approved by CEN as EN ISO 3040:2016 without any modification.

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SIST EN ISO 3040:2016
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SIST EN ISO 3040:2016
INTERNATIONAL ISO
STANDARD 3040
Fourth edition
2016-05-01
Geometrical product specifications
(GPS) — Dimensioning and
tolerancing — Cones
Spécification géométrique des produits (GPS) — Cotation et
tolérancement — Cônes
Reference number
ISO 3040:2016(E)
ISO 2016
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2016, Published in Switzerland

All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form

or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior

written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of

the requester.
ISO copyright office
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. +41 22 749 01 11
Fax +41 22 749 09 47
copyright@iso.org
www.iso.org
ii © ISO 2016 – All rights reserved
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
Contents Page

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

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

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

2 Normative references ...................................................................................................................................................................................... 1

3 Terms and definitions ..................................................................................................................................................................................... 1

4 Graphical symbol for a rate of taper for a cone .................................................................................................................... 2

5 Dimensions and indication on a cone ............................................................................................................................................. 2

5.1 Dimensions on a cone ....................................................................................................................................................................... 2

5.2 Indication of rate of taper value on drawings .............................................................................................................. 4

6 Tolerancing of a cone ....................................................................................................................................................................................... 5

Annex A (informative) Tolerancing of a cone: Examples ................................................................................................................. 8

Annex B (informative) Relation to the GPS matrix model ...........................................................................................................23

Bibliography .............................................................................................................................................................................................................................24

© ISO 2016 – All rights reserved iii
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
Foreword

ISO (the International Organization for Standardization) is a worldwide federation of national standards

bodies (ISO member bodies). The work of preparing International Standards is normally carried out

through ISO technical committees. Each member body interested in a subject for which a technical

committee has been established has the right to be represented on that committee. International

organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.

ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of

electrotechnical standardization.

The procedures used to develop this document and those intended for its further maintenance are

described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the

different types of ISO documents should be noted. This document was drafted in accordance with the

editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).

Attention is drawn to the possibility that some of the elements of this document may be the subject of

patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of

any patent rights identified during the development of the document will be in the Introduction and/or

on the ISO list of patent declarations received (see www.iso.org/patents).

Any trade name used in this document is information given for the convenience of users and does not

constitute an endorsement.

For an explanation on the meaning of ISO specific terms and expressions related to conformity assessment,

as well as information about ISO’s adherence to the World Trade Organization (WTO) principles in the

Technical Barriers to Trade (TBT) see the following URL: www.iso.org/iso/foreword.html.

The committee responsible for this document is ISO/TC 213, Dimensional and geometrical product

specifications and verification.

This fourth edition cancels and replaces the third edition (ISO 3040:2009), which has been technically

revised:
— Clause 6 on the tolerancing of cones has been revised;
— Annex A on former practice from ISO 3040:1990 has been deleted;
— a new informative Annex A with examples has been added.
iv © ISO 2016 – All rights reserved
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
Introduction

This International Standard is a geometrical product specification (GPS) standard and is to be regarded

as a general GPS standard (see ISO 14638), applicable to a conical feature. It influences chain links A

and B of the chain of standards on size, form, orientation, location and run-out.

For more detailed information about the relationship of ISO 3040 to other standards and to the GPS

matrix model, see Annex B.

The ISO/GPS matrix model given in ISO 14638 gives an overview of the ISO/GPS system of which this

international standard is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this

international standard and the default decision rules given in ISO 14253-1 apply to specifications made

in accordance with this international standard, unless otherwise indicated.

In this International Standard, the figures illustrate the text only and should not be considered as

design examples. For this reason, the figures are simplified and are not to scale.

No indications from the previous edition (ISO 3040:2009) have been made obsolete by this edition.

Therefore, there is no ‘former practice’.
© ISO 2016 – All rights reserved v
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SIST EN ISO 3040:2016
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SIST EN ISO 3040:2016
INTERNATIONAL STANDARD ISO 3040:2016(E)
Geometrical product specifications (GPS) — Dimensioning
and tolerancing — Cones
1 Scope

This International Standard specifies graphical indication applicable to a cone (right-angle circular

cones) to define its dimensioning or to specify its tolerancing.

For the purposes of this International Standard, the term “cone” relates to right-angle circular cones

only (any intersection by a plane perpendicular to the axis of the nominal cone is a circle).

NOTE 1 For simplicity, only truncated cones have been represented in this International Standard. However,

this International Standard can be applied to any type of cone within its scope.

NOTE 2 This International Standard is not intended to prevent the use of other methods of dimensioning and

tolerancing.
2 Normative references

The following documents, in whole or in part, are normatively referenced in this document and are

indispensable for its application. For dated references, only the edition cited applies. For undated

references, the latest edition of the referenced document (including any amendments) applies.

ISO 1119:2011, Geometrical product specifications (GPS) — Series of conical tapers and taper angles

ISO 81714-1, 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 following terms and definitions apply.
3.1
rate of taper

ratio of the difference in the diameters of two sections of a cone to the distance between them

Note 1 to entry: lt is expressed by the following formula (see also Figure 1).
 
Dd− α
C = = 2tan (1)
 
L 2
 
Figure 1
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
4 Graphical symbol for a rate of taper for a cone

A rate of taper for a cone shall be indicated using the graphical symbol illustrated in Figure 2 centred

on a reference line (see Figure 7). The orientation of the graphical symbol shall coincide with that of the

cone (see Figure 7 and Figure 8).
Size and line thickness of the graphical symbol are according to ISO 81714-1.
Figure 2
5 Dimensions and indication on a cone
5.1 Dimensions on a cone

Several kinds of dimensions as shown in Table 1 may be used in order to define a cone.

Table 1 — Dimensions on a cone
Type of dimensions Letter symbol Examples of indication
Preferred method Optional method
Rate of taper value 1:5 0,2:1
1/5 20 %
Cone angle value 35° 0,6 rad
Cone diameter value
— at the larger end
— at the smaller end
— at the specified cross-section D
Length value
— Distance between two planes limiting
a cone
— Distance between two planes limiting a
set of a cone and a cylinder
— Distance locating the cross-section
where D is defined

No more dimensions than necessary shall be indicated. However, additional dimensions may be given

for information as auxiliary dimensions.

Some dimensions may be used to establish a tolerancing by dimensional or geometrical specification

(see Clause 6). For this reason these dimensions may be defined as TEDs.

Some typical combinations of cone dimensions are shown in Figure 3, Figure 4, Figure 5 and Figure 6.

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SIST EN ISO 3040:2016
ISO 3040:2016(E)
Figure 3
Figure 4
Figure 5
© ISO 2016 – All rights reserved 3
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
Figure 6
5.2 Indication of rate of taper value on drawings

The graphical symbol with the rate of taper value of a cone shall be indicated near the feature according

to the rules presented in Clause 4.

As shown in Figure 7, the reference line attached to the graphical symbol shall be:

— drawn parallel to the cone axis, and
— connected by a leader line to the outline of the cone.

When the taper belongs to a standardized series of conical taper (in particular Morse or metric taper),

the rate of taper value of the cone may be replaced by the codification given by standard series according

to ISO 1119 and appropriate number (see Figure 8). For example, the rate of taper value “1:20,047” may

be replaced by the codification “Morse No. 1”.
Key
1 leader line
2 rate of taper graphical symbol
3 reference line
NOTE 1:5 is the rate of taper value.
Figure 7
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SIST EN ISO 3040:2016
ISO 3040:2016(E)
Figure 8
6 Tolerancing of a cone
A cone is intrinsically defined by its angle (see Figure 9).
Figure 9 — Intrinsic representation of a cone

NOTE A cone is different from a frustum which is defined by three geometrical entities (one of them is a cone).

EXAMPLE A frustum defined by a cone and two end planes (not necessarily perpendicular to the axis of this

cone). See Figure 10.
Key
1 Plane 1
2 Plane 2
3 cone
Figure 10 — Example

The objective of tolerancing is to define a set of one or more GPS specifications. Each GPS specification

defines a particular characteristic and its permissible extent by the mean of one or two tolerances

limits (see example in Figure 11).

When a gauge plane is used in a specification, the gauge plane location shall be defined by TEDs (explicit

or implicit: 0 mm).
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SIST EN ISO 3040:2016
ISO 3040:2016(E)

When a datum or datum system is used to locate or orientate the tolerance zone, the angular or linear

dimensions constraining the tolerance zone shall be defined by TEDs (explicit or implicit:0 mm, 0°, 90 °,

180°, 270°).

When a geometrical specification is applied to a cone with the surface profile characteristic symbol

without datum or datum system and the intrinsic characteristic of the cone shall be taken into account

as fixed, then:

— the symbol VA shall not be indicated in the second compartment of the tolerance frame; and

— the angle of the cone shall be indicated:
— directly with the cone angle as a TED, or

— indirectly with the rate of taper value or by a combination of several dimensions on a cone (e.g.

see Figure 6).
Each characteristic controls a set of degrees of freedom on the real workpiece.

The set of degrees of freedom, which are possible to consider individually or collectively, is:

— the angle deviation;
— the form deviation on a section line or the surface;
— the location deviation (X, Y, Z : in Cartesian system);
— the orientation deviation (β, γ : in Cartesian system).

The table in Figure 11 presents, for a specification, the type of deviations which are controlled.

The indication of the specification is presented and its meaning is illustrated and explained. This

presentation is used in Annex A.

Figure 11 and Annex A present various individual (independent) examples of possible dimensional

or geometrical specifications in relation with a cone, in accordance with ISO 1101, ISO 14405-1 and

ISO 14405-3. Each of these examples
...

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