1、June 2014 Translation by DIN-Sprachendienst.English price group 13No part of this translation may be reproduced without prior permission ofDIN Deutsches Institut fr Normung e. V., Berlin. Beuth Verlag GmbH, 10772 Berlin, Germany,has the exclusive right of sale for German Standards (DIN-Normen).ICS 2
2、1.160!%25|“2151889www.din.deDDIN EN 13906-3Cylindrical helical springs made from round wire and bar Calculation and design Part 3: Torsion springs;English version EN 13906-3:2014,English translation of DIN EN 13906-3:2014-06Zylindrische Schraubenfedern aus runden Drhten und Stben Berechnung und Kons
3、truktion Teil 3: Drehfedern;Englische Fassung EN 13906-3:2014,Englische bersetzung von DIN EN 13906-3:2014-06Ressorts hlicodaux cylindriques fabriqus partir de fils ronds et de barres Calcul et conception Partie 3: Ressorts de torsion;Version anglaise EN 13906-3:2014,Traduction anglaise de DIN EN 13
4、906-3:2014-06SupersedesDIN EN 13906-3:2002-07www.beuth.deDocument comprises 24 pagesIn case of doubt, the German-language original shall be considered authoritative.04.14 DIN EN 13906-3:2014-06 2 A comma is used as the decimal marker. National foreword This document (EN 13906-3:2014) has been prepar
5、ed by Technical Committee CEN/TC 407 “Project Committee Cylindrical helical springs made from round wire and bar Calculation and design” (Secretariat: AFNOR, France). The responsible German body involved in its preparation was the Normenausschuss Federn, Stanzteile und Blechformteile (Springs, Stamp
6、ed Parts and Moulded Parts Standards Committee), Working Committee NA 026-00-01 AA Federn. For more detailed information about the Normenausschuss Federn, Stanzteile und Blechformteile (NAFS), please visit www.nafs.din.de. DIN EN 13906-3 is part of the European Standard series EN 13906 covering the
7、calculation and design of cylindrical helical springs made from round wire and bar and consists of the following parts: Part 1: Compression springs Part 2: Extension springs Part 3: Torsion springs After the English version of EN 13906-3:2014 was published, CEN/TC 407 carried out a survey as to whet
8、her Equations (4) and (5) need to be corrected. It is to be expected that a Corrigendum will be published soon correcting both equations. Amendments This standard differs from DIN EN 13906-3:2002-07 as follows: a) the standard (including equations and figures) has been editorially revised; b) minor
9、technical corrections have been made; c) the scope has been revised and extended to include hot coiled helical torsion springs; d) terms and definitions in Clause 3 have been brought in line with DIN EN ISO 26909; e) some symbols in Table 2 have been editorially revised; f) Subclause 5.3 “Mounting o
10、f the ends” has been added; g) in Clause 8, a new Table 4 has been included relating to reference data for the modulus of elasticity and shear modulus for stainless steel wire according to EN 10270-3; h) in Subclause 8.2, the influence of the operating temperature on the modulus of elasticity is now
11、 given by Equation (8); i) in Subclause 10.2, new shot peening requirements for dynamically loaded hot coiled and quenched torsional springs have been included. Previous editions DIN 2088: 1949-07, 1969-07, 1992-11 DIN EN 13906-3: 2002-07 EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN 13906-3
12、January 2014 ICS 21.160 Supersedes EN 13906-3:2001English Version Cylindrical helical springs made from round wire and bar - Calculation and design - Part 3: Torsion springs Ressorts hlicodaux cylindriques fabriqus partir de fils ronds et de barres - Calcul et conception -Partie 3: Ressorts de torsi
13、on Zylindrische Schraubenfedern aus runden Drhten und Stben - Berechnung und Konstruktion - Teil 3: DrehfedernThis European Standard was approved by CEN on 10 November 2013. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this Europ
14、ean 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
15、 (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, Bel
16、gium, 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, Switz
17、erland, Turkey and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels 2014 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN nationa
18、l Members. Ref. No. EN 13906-3:2014 EEN 13906-3:2014 (E) 2 Contents Page Foreword 3 1 Scope 4 2 Normative references 4 3 Terms and definitions, symbols, units and abbreviated terms 4 3.1 Terms and definitions . 4 3.2 Symbols, units and abbreviated terms 5 4 Theoretical torsion spring diagram . 7 5 D
19、esign Principles . 10 5.1 General 10 5.2 Design of the ends . 10 5.3 Mounting of the ends 11 5.4 Design of the spring body 11 6 Types of loading 12 6.1 General 12 6.2 Static and quasi-static loading . 12 6.3 Dynamic loading 12 7 Stress correction factor q . 13 8 Material property values for the calc
20、ulations of springs . 14 9 Design formulate 15 9.1 Design assumptions 15 9.2 Formulae . 15 9.2.1 General 15 9.2.2 Spring torque . 15 9.2.3 Angular spring rate 15 9.2.4 Developed length of active coils 16 9.2.5 Nominal diameter of wire or bar . 16 9.2.6 Inside coil diameter of the spring 16 9.2.7 Out
21、side coil diameter of the spring . 16 9.2.8 Body length of the spring (excluding ends) . 16 9.2.9 Number of active coils 16 9.2.10 Torsional angle 16 9.2.11 Spring work 17 9.2.12 Uncorrected bending stress . 17 9.2.13 Corrected bending stress . 17 10 Permissible bending stress 20 10.1 Permissible be
22、nding stress under static or quasi-static loading . 20 10.2 Permissible stress range under dynamic loading 20 10.2.1 Fatigue strength values 20 10.2.2 Permissible stress range 20 10.2.3 Lines of equal stress ratio 21 Bibliography 22 DIN EN 13906-3:2014-06 EN 13906-3:2014 (E) 3 Foreword This document
23、 (EN 13906-3:2014) has been prepared by Technical Committee CEN/TC 407 “Project Committee - Cylindrical helical springs made from round wire and bar - Calculation and design”, the secretariat of which is held by AFNOR. This European Standard shall be given the status of a national standard, either b
24、y publication of an identical text or by endorsement, at the latest by July 2014, and conflicting national standards shall be withdrawn at the latest by July 2014. 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
25、 shall not be held responsible for identifying any or all such patent rights. This document supersedes EN 13906-3:2001. This European Standard has been prepared by the initiative of the Association of the European Spring Federation ESF. This European Standard constitutes a revision of EN 13906-3:200
26、1 for which it has been technically reviewed. The main modifications are listed below: updating of the normative references; technical corrections. EN 13906 consists of the following parts, under the general title Cylindrical helical springs made from round wire and bar Calculation and design: Part
27、1: Compression springs; Part 2: Extension springs; Part 3: Torsion springs. 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, D
28、enmark, 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. DIN EN 1390
29、6-3:2014-06 EN 13906-3:2014 (E) 4 1 Scope This European Standard specifies the calculation and design of cold and hot coiled cylindrical helical torsion springs with a linear characteristic, made from round wire and bar of constant diameter with values according to Table 1. Table 1 Characteristic Co
30、ld coiled torsion spring Hot coiled torsion springaWire or bar diameter d 20 mm d 10 mm Number of active coils n 2 n 2 Spring index 4 w 20 4 w 12 aThe user of this European Standard shall pay attention to the design of hot coiled springs, because there can be differences between the design and a rea
31、l test. 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 a
32、ny amendments) applies. EN 10089, Hot-rolled steels for quenched and tempered springs - Technical delivery conditions EN 10270-1, Steel wire for mechanical springs - Part 1: Patented cold drawn unalloyed spring steel wire EN 10270-2, Steel wire for mechanical springs - Part 2: Oil hardened and tempe
33、red spring steel wire EN 10270-3, Steel wire for mechanical springs - Part 3: Stainless spring steel wire EN 12166, Copper and copper alloys - Wire for general purposes EN ISO 26909:2010, Springs - Vocabulary (ISO 26909:2009) ISO 26910-1, Springs - Shot peening - Part 1: General procedures 3 Terms a
34、nd definitions, symbols, units and abbreviated terms 3.1 Terms and definitions For the purposes of this document, the terms and definitions given in EN ISO 26909:2010 and the following apply. 3.1.1 spring mechanical device designed to store energy when deflected and to return the equivalent amount o
35、f energy when released SOURCE: EN ISO 26909:2010, 1.1 3.1.2 torsion spring spring that offers resistance to a twisting moment around the longitudinal axis of the spring SOURCE: EN ISO 26909:2010, 1.4 DIN EN 13906-3:2014-06 EN 13906-3:2014 (E) 5 3.1.3 helical torsion spring torsion spring normally ma
36、de of wire of circular cross-section wound around an axis and with ends suitable for transmitting a twisting moment SOURCE: EN ISO 26909:2010, 3.14 3.2 Symbols, units and abbreviated terms Table 2 contains the symbols, units and abbreviated terms used in this standard. Table 2 Symbols Units Terms DA
37、 mm coil diameter tolerance of the unloaded spring a mm gap between active coils of the unloaded spring ei2DDD+= mm mean diameter of coil dD mm mandrel diameter eD mm outside diameter of the spring eDmm outside coil diameter of the spring when deflected through and angle in the direction of the coil
38、ing hD mm housing diameter iD mm inside diameter of the spring iD mm inside coil diameter of the spring when deflected through and angle in the direction of the coiling pD mm test mandrel diameter d mm nominal diameter of wire (or bar) maxd mm upper deviation of d Rd mm diameter of loading pins E N/
39、mm2(MPa) modulus of elasticity (or Youngs modulus) F N spring force . ,21FF N spring forces for the torsional angles . ,21 and related lever arms BA, RR at ambient temperature of 20 C nF N spring force for the maximum permissible angle n and the lever arms BA, RR KL mm body length of the unloaded sp
40、ring for close-coiled springs (excluding ends) K0L mm body length of the unloaded spring for open-coiled springs (excluding ends) KLmm body length of close-coiled spring deflected through an angle (excluding ends) l mm developed length of active coils (excluding ends) ,BAllmm length of ends M N mm s
41、pring torque DIN EN 13906-3:2014-06 EN 13906-3:2014 (E) 6 Symbols Units Terms . ,21MMN mm spring torque for the angles . ,21 and related lever arms BA, RR at ambient temperature of 20 C nMN mm spring torque for the maximum permissible angle, nmaxMN mm maximum spring torque, which occurs occasionally
42、 in practice, in test or during assembly of the spring N - number of cycles up to rupture n - number of active coils q - stress correction factor (depending on D/d) , ,BARRR mm effective lever arms of spring mRN/mm2(MPa) minimum value of the tensile strength MRRNmm/Deg angular spring rate (increase
43、of spring torque per unit angular deflection) nBA. , , rrrr mm inner bending radii Wmm3sectional moment W N mm spring work =Dwd- spring index z - decimal values of the number of active coils n Deg torsional angle . ,21Deg torsional angle corresponding to spring torque M1, M2. to the spring forces F1
44、, F2. nDeg maximum permissible torsional angle Deg corrected torsional angle in the case of a long, unclamped radial end Deg corrected torsional angle in the case of a long, unclamped tangential end hDeg angular deflection of spring (stroke) between two positions and 21 maxDeg maximum torsional angl
45、e which occurs occasionally in practice, in test or by mounting of the spring Deg increase of torsional angle due to deflection of a long, unclamped radial end Deg increase of torsional angle due to deflection of a long, unclamped tangential end Deg angle of tangential legs of unloaded spring 0Deg a
46、ngle of active coils of unloaded spring 0Deg relative end fixing angle for unloaded spring n. , 21Deg relative end fixing angle, corresponding to torsional angles n21. , kg/dm3density N/mm2(MPa) uncorrected bending stress (without the influence of the wire curvature being taken into account) . ,21N/
47、mm2(MPa) uncorrected bending stress for the spring torques M1, M2DIN EN 13906-3:2014-06 EN 13906-3:2014 (E) 7 Symbols Units Terms n N/mm2(MPa) uncorrected bending stress for the spring torque MnqN/mm2(MPa) corrected bending stress (according to the correction factor q) . ,2q1q N/mm2(MPa) corrected b
48、ending stress for the spring torques . ,21MM qhN/mm2(MPa) corrected bending stress for the stroke h qHN/mm2(MPa) corrected bending stress range in fatigue strength diagram qON/mm2(MPa) corrected maximum bending stress in the fatigue strength diagram qUN/mm2(MPa) corrected minimum bending stress in the fatigue strength diagram zulN/mm2(MPa) permissible bending stress A BC, , Deg bending angle of the end 4 Theoretical torsion
