SIST EN ISO 3040:2016

SLOVENSKI STANDARD
01-julij-2016
1DGRPHãþD
SIST EN ISO 3040:2012
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND*36'LPHQ]LRQLUDQMHLQWROHULUDQMH
.RQXVL,62
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)
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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.

Contents Page
European foreword . 3

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.
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
ISO 3040:2016(E)
© 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

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 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

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’.
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
C
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
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
C
1/5 20 %
Cone angle value 35° 0,6 rad
α
Cone diameter value
— at the larger end
D
— at the smaller end
d
— at the specified cross-section D
x
Length value
— Distance between two planes limiting
L
a cone
— Distance between two planes limiting a
′
L
set of a cone and a cylinder
— Distance locating the cross-section
L
x
where D is defined
x
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.
2 © ISO 2016 – All rights reserved

ISO 3040:2016(E)
Figure 3
Figure 4
Figure 5
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
4 © ISO 2016 – All rights reserved

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).
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
...