1、BRITISH STANDARDBS ISO 4156-1:2005Straight cylindrical involute splines Metric module, side fit Part 1: GeneralitiesICS 21.120.30g49g50g3g38g50g51g60g44g49g42g3g58g44g55g43g50g56g55g3g37g54g44g3g51g40g53g48g44g54g54g44g50g49g3g40g59g38g40g51g55g3g36g54g3g51g40g53g48g44g55g55g40g39g3g37g60g3g38g50g51
2、g60g53g44g42g43g55g3g47g36g58BS ISO 4156-1:2005This British Standard was published under the authority of the Standards Policy and Strategy Committee on 20 January 2006 BSI 20 January 2006ISBN 0 580 47452 6National forewordThis British Standard reproduces verbatim ISO 4156-1:2005 and implements it a
3、s the UK national standard. It supersedes BS 6186-1:1981 which is withdrawn.The UK participation in its preparation was entrusted to Technical Committee MCE/2, Shafts for machinery and accessories, which has the responsibility to: A list of organizations represented on this committee can be obtained
4、 on request to its secretary.Cross-referencesThe British Standards which implement international publications referred to in this document may be found in the BSI Catalogue under the section entitled “International Standards Correspondence Index”, or by using the “Search” facility of the BSI Electro
5、nic Catalogue or of British Standards Online.This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. Compliance with a British Standard does not of itself confer immunity from legal obligations. aid enquirers to unde
6、rstand the text; present to the responsible international/European committee any enquiries on the interpretation, or proposals for change, and keep UK interests informed; monitor related international and European developments and promulgate them in the UK.Summary of pagesThis document comprises a f
7、ront cover, an inside front cover, the ISO title page, pages ii to v, a blank page, pages 1 to 59 and a back cover.The BSI copyright notice displayed in this document indicates when the document was last issued.Amendments issued since publicationAmd. No. Date CommentsReference numberISO 4156-1:2005(
8、E)INTERNATIONAL STANDARD ISO4156-1First edition2005-10-01Straight cylindrical involute splines Metric module, side fit Part 1: Generalities Cannelures cylindriques droites flancs en dveloppante Module mtrique, centrage sur flancs Partie 1: Gnralits BS ISO 4156-1:2005ii iiiContents Page Foreword iv I
9、ntroduction v 1 Scope 1 2 Normative references 1 3 Terms and definitions .1 4 Symbols, subscripts and abbreviated terms 7 4.1 General symbols7 4.2 Subscripts 9 4.3 Formulae for dimensions and tolerances for all fit classes9 5 Concept of side fit splines 12 6 Effective fit concept.14 7 Basic rack pro
10、files for spline22 8 Spline fit classes24 9 Space width and tooth thickness tolerances26 9.1 Total tolerance T + 26 9.2 Deviation allowance, 27 9.3 Total pitch deviation, Fp27 9.4 Total profile deviation, F.28 9.5 Total helix deviation, F29 9.6 Machining tolerance, T 29 9.7 Effective clearance toler
11、ance, Tv30 9.8 Use of effective and actual dimensions for space width and tooth thickness .30 10 Minor and major diameters.31 10.1 Tolerances 31 10.2 Adjustment to minor diameters (Die), form diameters (DFe) and major diameters (Dee) of external splines32 11 Manufacturing and design considerations .
12、32 11.1 Radii 32 11.2 Profile shifts .32 11.3 Eccentricity and misalignment.33 12 Spline data34 12.1 Basic dimensions 34 12.2 Combination of types 34 12.3 Designation 34 12.4 Drawing data 35 Annex A (informative) Drawing data example calculations 40 Bibliography 59 BS ISO 4156-1:2005iv Foreword ISO
13、(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 comm
14、ittee 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 electrote
15、chnical standardization. International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2. The main task of technical committees is to prepare International Standards. Draft International Standards adopted by the technical committees are circulated to the memb
16、er bodies for voting. Publication as an International Standard requires approval by at least 75 % of the member bodies casting a vote. 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 identifyi
17、ng any or all such patent rights. ISO 4156-1 was prepared by Technical Committee ISO/TC 14, Shafts for machinery and accessories. This first edition of ISO 4156-1, together with ISO 4156-2 and ISO 4156-3, cancels and replaces ISO 4156:1981 and ISO 4156:1981/Amd 1:1992, of which it constitutes a tech
18、nical revision. The values and tables are the same as in ISO 4156:1981; however, some explanations and definitions have been clarified. ISO 4156 consists of the following parts, under the general title Straight cylindrical involute splines Metric module, side fit: Part 1: Generalities Part 2: Dimens
19、ions Part 3: Inspection BS ISO 4156-1:2005vIntroduction ISO 4156 provides the data and indications necessary for the design, manufacture and inspection of straight (non-helical) side-fitting cylindrical involute splines. Straight cylindrical involute splines manufactured in accordance with ISO 4156
20、are used for clearance, sliding and interference connections of shafts and hubs. They contain all the necessary characteristics for the assembly, transmission of torque, and economic production. The nominal pressure angles are 30, 37,5 and 45. For electronic data processing purposes, the form of exp
21、ression 37,5 has been adopted instead of 3730. ISO 4156 establishes a specification based on the following modules: for pressure angles of 30 and 37,5 the module increments are 0,5; 0,75; 1; 1,25; 1,5; 1,75; 2; 2,5; 3; 4; 5; 6; 8; 10 for pressure angle of 45 the module increments are 0,25; 0,5; 0,75
22、; 1; 1,25; 1,5; 1,75; 2; 2,5 BS ISO 4156-1:2005blank1Straight cylindrical involute splines Metric module, side fit Part 1: Generalities 1 Scope This part of ISO 4156 provides the data and indications necessary for the design and manufacture of straight (non-helical) side-fitting cylindrical involute
23、 splines. Limiting dimensions, tolerances, manufacturing errors and their effects on the fit between connecting coaxial spline elements are defined in the equations and given in the tables. Unless otherwise specified, linear dimensions are expressed in millimetres and angular dimensions in degrees.
24、2 Normative references The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. ISO 286-1, ISO system of l
25、imits and fits Part 1: Bases of tolerances, deviations and fits ISO 1101, Geometrical Product Specifications (GPS) Geometrical tolerancing Tolerances of form, orientation, location and run-out ISO 4156-2, Straight cylindrical involute splines Metric module, side fit Part 2: Dimensions ISO 4156-3:200
26、5, Straight cylindrical involute splines Metric module, side fit Part 3: Inspection 3 Terms and definitions For the purposes of this document, the following terms and definitions apply. 3.1 spline joint connecting, coaxial elements that transmit torque through the simultaneous engagement of equally
27、spaced teeth situated around the periphery of a cylindrical external member with similar spaced mating spaces situated around the inner surface of the related cylindrical internal member 3.2 involute spline member of spline joint having teeth or spaces that have involute flank profiles 3.3 internal
28、spline spline formed on the inner surface of a cylinder BS ISO 4156-1:20052 3.4 external spline spline formed on the outer surface of a cylinder 3.5 fillet concave surface of the tooth or space connecting the involute flank and the root circle. NOTE This curved surface as generated varies and cannot
29、 be properly specified by a radius of any given value. 3.6 fillet root spline spline having a tooth or space profile in which the opposing involute flanks are connected to the root circle (Deior Diediameter) by a single fillet. 3.7 flat root spline spline having a tooth or space profile in which eac
30、h of the opposing involute flanks are connected to the root circle (Deior Diediameter) by a fillet 3.8 module m ratio of the circular pitch, expressed in millimetres, to the number (or the ratio of the pitch diameter expressed in millimetres, to the number of teeth) 3.9 pitch circle reference circle
31、 from which all normal spline dimensions are derived, and the circle on which the specified pressure angle has its nominal value 3.10 pitch diameter D diameter of the pitch circle, in millimetres, equal to the number of teeth multiplied by the module 3.11 pitch point intersection of the spline tooth
32、 profile with the pitch circle 3.12 circular pitch p length of arc of the pitch circle between two consecutive pitch points of left- (or right-) hand flanks, which has a value of the number multiplied by the module 3.13 pressure angle acute angle between a radial line passing through any point on a
33、tooth flank and the tangent plane to the flank at that point 3.14 standard pressure angle Dpressure angle at the specified pitch point BS ISO 4156-1:200533.15 base circle circle from which Involute spline tooth profiles are generated 3.16 base diameter Dbdiameter of the base circle 3.17 base pitch p
34、barc length of the base circle between two consecutive corresponding flanks 3.18 major circle outermost (largest) circle of the external or internal spline 3.19 major diameter Dee, Deidiameter of the major circle 3.20 minor circle innermost (smallest) circle of the external or internal spline 3.21 m
35、inor diameter, Die, Diidiameter of the minor circle 3.22 form circle circle used to define the depth of involute profile control NOTE In the case of an external spline it is located near and above the minor diameter, and on an internal spline near and below the major diameter 3.23 form diameter DFe,
36、 DFidiameter of the form circle 3.24 depth of engagement radial distance from the minor circle of the internal spline to the major circle of the external spline, minus corner clearance and/or chamfer depth 3.25 basic (circular) space width or tooth thickness at the pitch diameter E or S for 30, 37,5
37、 and 45 pressure angle splines, half the circular pitch. 3.26 actual space width practically measured circular space width, on the pitch circle, of any single space width within the limit values Emaxand EminBS ISO 4156-1:20054 3.27 effective space width Evspace width where an imaginary perfect exter
38、nal spline would fit without clearance or interference, given by the size of the tooth thickness of this external spline, considering engagement of the entire axial length of the splined assembly NOTE The minimum effective space width (Ev min, always equal to E) of the internal spline is always basi
39、c, as shown in Table 3. 3.28 actual tooth thickness practically measured circular tooth thickness, on the pitch circle, of any single tooth within the limit values Smaxand Smin3.29 effective tooth thickness Svtooth thickness where an imaginary perfect internal spline would fit without clearance or i
40、nterference, given by the size of the space width of this internal spline, considering engagement of the entire axial length of the splined assembly 3.30 effective clearance cvlooseness or interference effective space width of the internal spline minus the effective tooth thickness of the external s
41、pline NOTE For looseness, cvis positive; for interference, cvis negative. 3.31 theoretical clearance c looseness or interference actual space width of the internal spline minus the actual tooth thickness of the external spline NOTE It does not define the effective fit between internal and external s
42、pline, because of the effect of deviations. 3.32 form clearance cFradial clearance between the form diameter of the internal spline and the major diameter of the external spline, or between the minor diameter of the internal spline and the form diameter of the external spline NOTE It allows eccentri
43、city of their respective pitch circles. 3.33 total pitch deviation Fpabsolute value of the difference between the greatest positive and negative deviations from the theoretical spacing 3.34 total profile deviation Fabsolute value of the difference between the greatest positive and negative deviation
44、s from the theoretical tooth profile, measured normal to the flanks BS ISO 4156-1:200553.35 total helix deviation Fabsolute value of the difference between the two extreme deviations from the theoretical direction parallel to the reference axis NOTE This includes parallelism and alignment deviations
45、, see Figure 1. a) Helix deviation b) Parallelism deviation c) Alignment deviation aReference axis. bCentreline of teeth. cEffective spline axis. Figure 1 Helix deviations 3.36 parallelism deviation deviation of parallelism of a single spline tooth to any other single spline tooth See Figure 1 b). 3
46、.37 alignment deviation deviation of the effective spline axis with respect to the reference axis See Figure 1 c). 3.38 out-of-roundness deviation of the spline from a true circular configuration 3.39 effective deviation accumulated effect of the spline deviations on the fit with the mating part BS
47、ISO 4156-1:20056 3.40 deviation allowance permissible deviation between minimum actual and minimum effective space width or maximum effective and maximum actual tooth thickness 3.41 machining tolerance T permissible deviation between maximum actual and minimum actual space width or tooth thickness 3
48、.42 effective clearance tolerance Tvpermissible deviation between maximum effective and minimum effective space width or tooth thickness 3.43 total tolerance T + machining tolerance plus the deviation allowance 3.43.1 total tolerance internal spline difference between the minimum effective space wid
49、th and the maximum actual space width 3.43.2 total tolerance external spline difference between the maximum effective tooth thickness and the minimum actual tooth thickness 3.44 basic dimension numerical value to describe the theoretically exact size, shape or location of a feature NOTE It is the basis from which permissible deviations are established by tolerances. 3.45 auxiliary dimension dimension, without tolerance, given for information purposes only, for the determination of the useful producti
