SIST EN 13906-2:2009

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Zylindrische Schraubenfedern aus runden Drähten und Stäben - Berechnung und Konstruktion - Teil 2: ZugfedernRessorts hélicoïdaux cylindriques fabriqués à partir de fils ronds et de barres - Calcul et conception - Partie 2: Ressorts de tractionCylindrical helical springs made from round wire and bar - Calculation and design - Part 2: Extension springs21.160VzmetiSpringsICS:Ta slovenski standard je istoveten z:EN 13906-2:2001SIST EN 13906-2:2009en,fr,de01-julij-2009SIST EN 13906-2:2009SLOVENSKI
STANDARD



SIST EN 13906-2:2009



EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 13906-2December 2001ICS 21.160English versionCylindrical helical springs made from round wire and bar -Calculation and design - Part 2: Extension springsRessorts hélicoïdaux cylindriques fabriqués à partir de filsronds et de barres - Calcul et conception - Partie 2:Ressorts de tractionZylindrische Schraubenfedern aus runden Drähten undStäben - Berechnung und Konstruktion - Teil 2: ZugfedernThis European Standard was approved by CEN on 5 January 2001.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards may be obtained on application to the 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 translationunder the responsibility of a CEN member into its own language and notified to the Management Centre has the same status as the officialversions.CEN members are the national standards bodies of Austria, Belgium, Czech Republic, Denmark, Finland, France, Germany, Greece,Iceland, Ireland, Italy, Luxembourg, Netherlands, Norway, Portugal, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre: rue de Stassart, 36
B-1050 Brussels© 2001 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 13906-2:2001 ESIST EN 13906-2:2009



EN 13906-2:2001 (E)2ContentsForeword.31Scope.42Normative references.43Terms and definitions, symbols, units and abbreviated terms.43.1Terms and definitions.43.2Symbols, units and abbreviated terms.54Theoretical extension spring diagram.75Types of loading.75.1Static and/or quasi-static loading.75.2Dynamic loading.76Stress correction factor k.87Initial tension force F0.98Material property values for the calculation of springs.99Calculation formulae.119.1Spring work.119.2Spring Force.119.3Spring deflection.119.4Spring rate.119.5Torsional stresses.119.6Nominal diameter of wire or bar.119.7Number of active coils.119.8Total number of coils.129.9Initial tension force.1210Permissible torsional stress under static or quasi-static loading.1210.1Permissible torsional stress zul
for cold coiled springs.1210.2Permissible torsional stress
zul
for hot coiled springs.1210.3Initial
tension torsional stress 0.1211Calculation of extension springs for dynamic loading.13Annex A (informative)
Types of spring ends.14SIST EN 13906-2:2009



EN 13906-2:2001 (E)3ForewordThis European Standard has been prepared by CMC.This European Standard shall be given the status of a national standard, either by publication of an identical text orby endorsement, at the latest by June 2002, and conflicting national standards shall be withdrawn at the latest byJune 2002.According to the CEN/CENELEC Internal Regulations, the national standards organizations of the followingcountries are bound to implement this European Standard: Austria, Belgium, Czech Republic, Denmark, Finland,France, Germany, Greece, Iceland, Ireland, Italy, Luxembourg, Netherlands, Norway, Portugal, Spain, Sweden,Switzerland and the United Kingdom.This European Standard has been prepared by the initiative of the Association of the European Spring FederationESF and is based on the German Standard DIN 2089-2 - “Helical springs made from round wire and rod; Extensionsprings; Calculation and design” edition 1992-11, which is known and used in many European countries.SIST EN 13906-2:2009



EN 13906-2:2001 (E)41 ScopeThis standard specifies the calculation and design of cold and hot coiled helical cylindrical helical extension springsmade from round wire and bar with values according to Table 1, loaded in the direction of the spring axis andoperating at normal ambient temperatures.Table 1CharacteristicCold coiled extension springsHot coiled extension springs
Wire or bar diameterd
17 mm10 mm
d < 35 mm
Coil diameterD
160 mmD
300 mm
Number of active coilsn
3n
3
Spring index4
w
204
w
12NOTE 1In cases of substantially higher or lower working temperature, it is advisable to seek the manufacturer’s advice.NOTE 2Quality Standards for cold coiled extension springs will be developed later.2 Normative referencesThis European Standard incorporates by dated or undated reference, provisions from other publications. Thesenormative references are cited at the appropriate places in the text and the publications are listed hereafter. Fordated references, subsequent amendments to or revisions of any of these publications apply to this EuropeanStandard only when incorporated in it by amendment or revision. For undated references the latest edition of thepublication referred to applies (including amendments).EN 13906-1, Cylindrical helical springs made from round wire and bar - Calculation and design - Part 1:Compression springs.EN 10270-1:2001, Steel wire for mechanical springs – Part 1: Patented cold drawn unalloyed spring steel wire.EN 10270-2:2001, Steel wire for mechanical springs - Part 2: Oil hardened and tempered spring steel wire.EN 10270-3:2001, Steel wire for mechanical springs - Part 3: Stainless spring steel wire.EN 12166, Copper and copper alloys - Wire for general purposes.EN ISO 2162-1:1996, Technical product documentation - Springs - Part 1: Simplified representation(ISO 2162-1:1993).EN ISO 2162-3:1996, Technical product documentation - Springs - Part 3: Vocabulary (ISO 2162-3:1993).prEN 10089:1998, Hot-rolled steels for quenched and tempered springs – Technical delivery conditions.3 Terms and definitions, symbols, units and abbreviated terms3.1 Terms and definitionsFor the purposes of this European Standard, the following terms and definitions apply.SIST EN 13906-2:2009



EN 13906-2:2001 (E)53.1.1springmechanical device designed to store energy when deflected and to return the equivalent amount of energy whenreleased [ 2.1 from EN ISO 2162-3:1996 ]3.1.2extension springspring that offers resistance to an axial force tending to extend its length, with or without initial tension [ 2.6 fromEN ISO 2162-3:1996 ]3.1.3helical extension springextension spring normally made from wire of circular cross-section wound around an axis with or without spacesbetween its coils ( open - or close -wound ) [2.10 from EN ISO 2162-3:1996]NOTEIn the following text of this Standard the term spring is used with the meaning of helical extension spring3.2 Symbols, units and abbreviated termsTable 2 contains the symbols, units and abbreviated terms used in this standard.Table 2 Symbols UnitsTerms2ieDDDmmmean diameter of coilDemmoutside diameter of the springDImminside diameter of the springDmmnominal diameter of wire (or bar)EN/mm²modulus of elasticity (or Young’s modulus)FNspring force (including F0)F1, F2.Nspring forces, for the spring lengths L1, L2. (at ambient temperature of 20ºC)FnNmaximum permissible spring force for the maximum permissible spring length LnF0Ninitial tension forceGN/mm²modulus of rigidityk-stress correction factor (depending on D/d)Lmmspring lengthL0mmNominal free length of springL1, L2.mmspring lengths for the spring forces F1,
F2 .LHmmdistance from inner radius of loop to spring bodyLKmmbody length when unloaded but subject to initial tension forceLnmmmaximum permissible spring length for the spring force Fnmmmhook openingN-Number of cycles up to rupturen-number of active coilsnt-total number of coilsSIST EN 13906-2:2009



EN 13906-2:2001 (E)6Table 2 (Concluded) Symbols UnitsTermsRN/mmspring rateRmN/mm²minimum value of tensile strengthsmmspring deflections1, s2 .mmspring deflections, for the spring forces F1, F2 .shmmdeflection of spring (stroke) between two positionssnmmspring deflection, for the spring force FnWN.mmspring workdDw-spring indexkg/dm3DensityN/mm²uncorrected torsional stress (without the influence of the wire curvature being takeninto account)0N/mm²uncorrected torsional stress, for the initial tension force F01, 2 .N/mm²uncorrected torsional stress, for the
spring forces F1, F2 .kN/mm²corrected torsional stress, (according to the correction factor k)k1, k2 .N/mm²corrected torsional stress, for the
spring forces F1, F2 .khN/mm²corrected
torsional stress range, for the stroke
shknN/mm²corrected torsional stress, for the
spring force FnnN/mm²uncorrected torsional stress, for the spring force FnzulN/mm²permissible torsional stressSIST EN 13906-2:2009



EN 13906-2:2001 (E)74 Theoretical extension spring diagramThe illustration of the extension spring corresponds to Figure 5.1 from EN ISO 2162-1:1996. The theoreticalextension spring diagram is given in Figure 1.Key1
spring deflection2
spring lengthsFigure 1 — Theoretical extension spring diagram5 Types of loadingNOTEBefore carrying out design calculations it should be specified whether they will be subjected to static loading, quasi-static loading, or dynamic loading.5.1 Static and/or quasi-static loadingA static loading is: a loading constant
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