EN 15302:2008+A1:2010
(Main + Amendment)Railway applications - Method for determining the equivalent conicity
General Information
- Abstract
This European Standard establishes an evaluation procedure for determining equivalent conicity. A benchmark calculation is specified to achieve comparable results on a consistent basis for the equivalent conicity, which may be calculated by different methods not given in this European Standard. This European Standard also proposes possible calculation methods. Informative examples of the use of the Klingel formula (see Annex B) and linear regression of the r-function (see Annex C) are included in this European Standard.
This European Standard includes reference profiles, profile combinations, tolerances and reference results with tolerance limits, which allow the user to assess the acceptability of a measuring and calculation system including random- and grid- errors of the measuring system. It sets down the principles of calculation that need to be followed but does not impose any particular numerical calculation method.
This European Standard does not define limits for the equivalent conicity and gives no tolerances for the rail profile and the wheel profile to achieve acceptable results for the conicity.
For purposes outside the scope of this European Standard (e.g. simulation of vehicle behaviour) it can be useful or necessary to use more sophisticated theories. These methods are not within the scope of this European Standard.
For the application of this European Standard some general recommendations are given in Annex I.
- Status
- Withdrawn
- Publication Date
- 02-Nov-2010
- Withdrawal Date
- 22-Sep-2026
- Technical Committee
- CEN/TC 256 - Railway applications
- Drafting Committee
- CEN/TC 256/WG 10 - Vehicle/Track Interaction
- Current Stage
- 9960 - Withdrawal effective - Withdrawal
- Start Date
- 06-Oct-2021
- Completion Date
- 23-Sep-2026
- Directive
- Not Harmonized2008/57/EC - DIRECTIVE 2008/57/EC OF THE EUROPEAN PARLIAMENT AND OF THE COUNCIL of 17 June 2008 on the interoperability of the rail system within the Community (Recast)OJ Ref: C, C 214 OJ Date: 20-Jul-2011
Relations
- Merged From
EN 15302:2008/FprA1 - Railway applications - Method for determining the equivalent conicity - Effective Date
- 19-Jan-2023
- Effective Date
- 06-Sep-2010
- Effective Date
- 15-Feb-2017
- Effective Date
- 28-Jan-2026
- Effective Date
- 28-Jan-2026
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Frequently Asked Questions
EN 15302:2008+A1:2010 is a standard published by the European Committee for Standardization (CEN). Its full title is "Railway applications - Method for determining the equivalent conicity". This standard covers: This European Standard establishes an evaluation procedure for determining equivalent conicity. A benchmark calculation is specified to achieve comparable results on a consistent basis for the equivalent conicity, which may be calculated by different methods not given in this European Standard. This European Standard also proposes possible calculation methods. Informative examples of the use of the Klingel formula (see Annex B) and linear regression of the r-function (see Annex C) are included in this European Standard. This European Standard includes reference profiles, profile combinations, tolerances and reference results with tolerance limits, which allow the user to assess the acceptability of a measuring and calculation system including random- and grid- errors of the measuring system. It sets down the principles of calculation that need to be followed but does not impose any particular numerical calculation method. This European Standard does not define limits for the equivalent conicity and gives no tolerances for the rail profile and the wheel profile to achieve acceptable results for the conicity. For purposes outside the scope of this European Standard (e.g. simulation of vehicle behaviour) it can be useful or necessary to use more sophisticated theories. These methods are not within the scope of this European Standard. For the application of this European Standard some general recommendations are given in Annex I.
This European Standard establishes an evaluation procedure for determining equivalent conicity. A benchmark calculation is specified to achieve comparable results on a consistent basis for the equivalent conicity, which may be calculated by different methods not given in this European Standard. This European Standard also proposes possible calculation methods. Informative examples of the use of the Klingel formula (see Annex B) and linear regression of the r-function (see Annex C) are included in this European Standard. This European Standard includes reference profiles, profile combinations, tolerances and reference results with tolerance limits, which allow the user to assess the acceptability of a measuring and calculation system including random- and grid- errors of the measuring system. It sets down the principles of calculation that need to be followed but does not impose any particular numerical calculation method. This European Standard does not define limits for the equivalent conicity and gives no tolerances for the rail profile and the wheel profile to achieve acceptable results for the conicity. For purposes outside the scope of this European Standard (e.g. simulation of vehicle behaviour) it can be useful or necessary to use more sophisticated theories. These methods are not within the scope of this European Standard. For the application of this European Standard some general recommendations are given in Annex I.
EN 15302:2008+A1:2010 is classified under the following ICS (International Classification for Standards) categories: 17.040.20 - Properties of surfaces; 45.060.01 - Railway rolling stock in general. The ICS classification helps identify the subject area and facilitates finding related standards.
EN 15302:2008+A1:2010 has the following relationships with other standards: It is inter standard links to EN 15302:2008/FprA1, EN 15302:2008, EN 15302:2021, EN 14363:2016+A1:2018, EN 14363:2016. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.
EN 15302:2008+A1:2010 is associated with the following European legislation: EU Directives/Regulations: 2008/57/EC; Standardization Mandates: M/024, M/275. When a standard is cited in the Official Journal of the European Union, products manufactured in conformity with it benefit from a presumption of conformity with the essential requirements of the corresponding EU directive or regulation.
EN 15302:2008+A1:2010 is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.
Standards Content (Sample)
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Bahnanwendungen - Verfahren zur Bestimmung der äquivalenten KonizitätApplications ferroviaires - Méthode de détermination de la conicité équivalenteRailway applications - Method for determining the equivalent conicity45.060.01Železniška vozila na splošnoRailway rolling stock in generalICS:Ta slovenski standard je istoveten z:EN 15302:2008+A1:2010SIST EN 15302:2008+A1:2010en,fr,de01-december-2010SIST EN 15302:2008+A1:2010SLOVENSKI
STANDARD
EUROPEAN STANDARD NORME EUROPÉENNE EUROPÄISCHE NORM
EN 15302:2008+A1
November 2010 ICS 17.040.20; 45.060.01 Supersedes EN 15302:2008English Version
Railway applications - Method for determining the equivalent conicity
Applications ferroviaires - Méthode de détermination de la conicité équivalente
Bahnanwendungen - Verfahren zur Bestimmung der äquivalenten Konizität This European Standard was approved by CEN on 7 February 2008 and includes Amendment 1 approved by CEN on 28 September 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 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 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 worldwide for CEN national Members. Ref. No. EN 15302:2008+A1:2010: ESIST EN 15302:2008+A1:2010
Example of presentation of ∆∆∆∆r function and conicity . 21Annex B (informative)
Example of method for determining the equivalent conicity by integration of the nonlinear differential equation . 22B.1 Principle . 22B.2 Steps of the procedure . 25B.3 Special cases . 26Annex C (informative)
Example of method for determining the equivalent conicity by linear regression of the ∆∆∆∆r function . 28C.1 Principles . 28C.2 Steps of the procedure . 28C.3 Particularities . 28Annex D (normative)
Reference profiles. 29D.1 Wheel A . 29D.1.1 Drawing . 29D.1.2 Analytic definition . 29D.1.3 Cartesian coordinates . 30D.2 Wheel B . 31D.2.1 Drawing . 31D.2.2 Analytic definition . 31D.2.3 Cartesian coordinates . 32D.3 Wheel H . 33D.3.1 Drawing . 33D.3.2 Analytic definition . 33D.3.3 Cartesian coordinates . 34D.4 Wheel I . 35D.4.1 Drawing . 35D.4.2 Analytic definition . 35SIST EN 15302:2008+A1:2010
Calculation results with reference profiles . 39E.1 Wheel A / Rail A . 40E.1.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 40E.1.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 41E.1.3 Numerical values for ∆∆∆∆r function . 42E.1.4 Numerical values for tanγγγγe function . 43E.2 Wheel B / Rail A . 44E.2.1 Diagram ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 44E.2.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 45E.2.3 Numerical values for ∆∆∆∆r function . 46E.2.4 Numerical values for tanγγγγe function . 47E.3 Wheel H / Rail A . 48E.3.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 48E.3.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 49E.3.3 Numerical values for ∆∆∆∆r function . 50E.3.4 Numerical values for tanγγγγe function . 51E.4 Wheel I / Rail A . 52E.4.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 52E.4.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 53E.4.3 Numerical values for ∆∆∆∆r function . 54E.4.4 Numerical values for tanγγγγe function . 55E.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A . 56E.5.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 56E.5.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 57E.5.3 Numerical values for ∆∆∆∆r function . 58E.5.4 Numerical values for tanγγγγe function . 59E.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A . 60E.6.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 60E.6.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 61E.6.3 Numerical values for ∆∆∆∆r function . 62E.6.4 Numerical values for tanγγγγe function . 63E.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A . 64E.7.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 64E.7.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 65E.7.3 Numerical values for ∆∆∆∆r function . 66E.7.4 Numerical values for tanγγγγe function . 67E.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A . 67E.8.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 67E.8.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 69E.8.3 Numerical values for ∆∆∆∆r function . 70E.8.4 Numerical values for tanγγγγe function . 71E.9 (Right Wheel A – Left Wheel B) / Rail A . 72E.9.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points . 72E.9.2 Representation of the curves of kinematic rolling movement of the wheelset on track . 73E.9.3 Numerical values for ∆∆∆∆r function . 74E.9.4 Numerical values for tanγγγγe function . 75Annex F (normative)
Tolerances on equivalent conicity . 76F.1 Wheel A / Rail A . 77SIST EN 15302:2008+A1:2010
Examples of calculation results with introduced errors. 104G.1 Wheel A / Rail A – Random error in mm . 104G.2 Wheel A / Rail A — Random error in mm . 105G.3 Wheel A / Rail A — Random error in mm . 106G.4 Wheel A / Rail A — Grid error in mm . 107G.5 Wheel A / Rail A — Grid error in mm . 108G.6 Wheel A / Rail A — Grid error in mm . 109G.7 Wheel H / Rail A — Random error in mm . 110Annex H (informative)
Guideline for application of errors . 111H.1 Grid error . 111H.2 Random error . 114Annex I (informative)
Guidelines for application . 117Annex ZA (informative)
!!!!Relationship between this European Standard and the Essential Requirements of EU Directive 2008/57/EC of the European Parliament and of the Council of 17 June 2008 on the interoperability of the rail system within the Community (Recast)"""" . 119Bibliography . 124 Figures Figure 1 — Benchmark process, Step 1 . 11Figure 2 — Benchmark process, Step 2 . 11Figure 3 — Benchmark process, Step 3 . 12Figure 4 — Dimensions on the wheelset . 15Figure 5 — y = f(x) function . 16Figure A.1 — ∆∆∆∆r = f(y) function and tanγγγγe = f(y) . 21SIST EN 15302:2008+A1:2010
Wheel A / Rail A . 40Figure E.1b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel A / Rail A . 41Figure E.2a — Diagram ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel B / Rail A . 44Figure E.2b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel B / Rail A . 45Figure E.3a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel H / Rail A . 48Figure E.3b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel H / Rail A . 49Figure E.4a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel I / Rail A . 52Figure E.4b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel I / Rail A . 53Figure E.5a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel A / Rail A . 56Figure E.5b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel A / Rail A . 57Figure E.6a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel B / Rail A . 60Figure E.6b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel B / Rail A . 61Figure E.7a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel H / Rail A . 64Figure E.7b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel H / Rail A . 65SIST EN 15302:2008+A1:2010
Modified Wheel I / Rail A . 68Figure E.8b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel I / Rail A . 69Figure E.9a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
(Right Wheel A – Left Wheel B) / Rail A . 72Figure E.9b — Representation of the curves of kinematic rolling movement of the wheelset on track — (Right Wheel A – Left Wheel B) / Rail A . 73Figure F.1 — Diagram Wheel A / Rail A . 77Figure F.2 — Diagram Wheel B / Rail A . 80Figure F.3 — Diagram Wheel H / Rail A . 83Figure F.4 — Diagram Wheel I / Rail A . 86Figure F.5 — Diagram modified Wheel A / Rail A . 89Figure F.6 — Diagram modified Wheel B / Rail A . 92Figure F.7 — Diagram modified Wheel H / Rail A . 95Figure F.8 — Diagram modified Wheel I / Rail A . 98Figure F.9 — Diagram (Right Wheel A — Left Wheel B) / Rail A . 101Figure G.1 — Wheel A / Rail A — Random error in mm . 104Figure G.2 — Wheel A / Rail A — Random error in mm . 105Figure G.3 — Wheel A / Rail A — Random error in mm . 106Figure G.4 — Wheel A / Rail A — Grid error in mm . 107Figure G.5 — Wheel A / Rail A — Grid error in mm . 108Figure G.6 — Wheel A / Rail A — Grid error in mm . 109Figure G.7 — Wheel H / Rail A — Random error in mm . 110Figure H.1 — Transformation of the point P (x, y) to grid with grid widths ∆∆∆∆y, ∆∆∆∆z . 111Figure H.2 — Grid transformation with grid widths of 0,5 mm . 112Figure H.3 — Variation of the grid origin. 112Figure H.4 — 50 variants of grid origins. 114Figure H.5 — Random error of measuring points . 116 Tables Table D.1 — Wheel profile: R-UIC 519-A — Right wheel . 30Table D.2 — Wheel profile: R-UIC 519-B — Right wheel . 32Table D.3 — Wheel profile: R-UIC 519-H — Right wheel . 34Table D.4 — Wheel profile: R-UIC 519-I — Right wheel . 36Table D.5 — Rail profile: S-UIC 519-A — Right rail . 38Table E.1a — Contact geometry wheel / rail: ∆∆∆∆r = f(y) — Wheel profile: R-UIC 519-A — Rail Profile: S-UIC 519-A . 42Table E.1b — Contact geometry wheel / rail: Conicity — Wheel profile: R-UIC 519-A — Rail profile: S-UIC 519-A . 43SIST EN 15302:2008+A1:2010
EN 15302:2008+A1
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