1、INTERNATIONA1.STANDARDISO4156-1editionSeCOnd202102Straightcy1.indrica1.invo1.utesp1.ines一Metricmodu1.e,sidefit一p1.ura1.itiesCanne1.uresCy1.indriquesdroites(if1.ancsendeve1.oppanteModu1.emetriqueracentragesurf1.ancs一Partie1:Genera1.itesReferencenumberIS04156-1:2021(E)COPYRIGHTPROTECTEDDOCUMENTISO2021
2、岫rkdea/山thUcdOthcnviscjftc三orrtmcehDVBiwixuioiti08phnn11UatiocBhrhotocp)Mng,ptbcatonpostingontheinternetoranintranet,withoutpriorwrittenpermission.PermissioncanherequestedfromeitherISOattheaddressbe1.owOr1.sOXSmemberbodyinthecountryoftherequester.%,tft晒Iandonnet8CH-1214*crnicr,GenevaPhone：M1.22749O1
3、11Pub1.ishedinSwitzerhndContentsPageForewordivIntroductionSconeV1.11.3Normativereferences1Termsanddefinitions14SymboIs,subscriptsandabbreviatedtermsS4.1Genera1.svnibo1.s554.2Subscripts1.Conceptofsidefitsp1.ines8116137Basicrackprofi1.esforsp1.ine228239Spacewidthandtooththicknessto1.erances269.2Devia
4、tiona1.1.owancer279.4Tota1.prpiikideviationrF吊Q9.5 Tota1.he1.ixdeviation,F9.6 MachiningtoIeranceiT&29一，96封假槌f辗诺帆挑弁hce,Tvdiinensionsforspacewidthandtooththickness299.8.2Maximummateria1.(minimumeffectivec1.earance)2910I*-Minorandmaiordiameters31110.1 To1.erances3110.2 Adjustmenttominordiameters(fe),fo
5、rmdiameters(DFe)andmajordiameters(1.fpxtpma1.n1.inp2211Manufacturinganddesignconsiderations3211.1Radii.3211.2Profi1.eshifts3211.3EteMriCityECrDdtIntja1.ignment3311.3.2Misa1.ignment331211.3.3Majorandminordiameters.33Sp1.inedata3312.2Combinationoftypes34123DeSiBnatiOn3412.4DrawingdataAnnex(informative
6、)Drawingdataexamp1.eca1.cu1.ations36Bib1.iography62ForewordISO(theInternationa1.OrganizationforStandardization)isawor1.dwidefederationofnationa1.standardsHUdiUgh(ISOtdoitof1.iiRj)tdS(voEkuHwtf1.pbtjr)gbody1.1.tirotitti1.6tandrij)iifowhidr1.arrted)mitteehasbeenestab1.ishedhastherighttoberepresentedon
7、thatcommittee.Internationa1.organizations,governmenta1.andnon-governmenta1.,in1.iaisonwithISO.a1.sotakepartinthework.ISOco1.1.aboratesc1.ose1.ywiththee1.ectrotechnica1.standardization.Internationa1.E1.ectrotechnica1.Commission(IEC)ona1.1.mattersofTheproceduresusedtodeve1.opthisdocumentandthoseintend
8、edforitsfurthermaintenanceareg取轩他匐B搬。於0/正，出寿冷屈能驯1btheeditoria1.ru1.esoftheISO/IECDirectives.Part2(secwww.iso.org/direc1.ives).MionrigbtS戚丽n施腻飒卿SnSi嘏麻吸瞄麻赧眈doc1.M曲锚;鼠例版subjectofanypatentrightsidentifiedduringthedeve1.opmerUM4iuttwMM4JbeintheIntroductionand/orontheISO1.istofpatentdec1.arationsreceived(
9、seewww.iso.org/pa1.ents).Anytradeusedinthisconstitutenameendorsement,documentisinformationgivenfortheconvenienceofusersanddoesnotForanexp1.anationofthevo1.untarynatureofstandards,themeaningofISOspecifictermsand碑版陶曲嬲fi%tioncon(温P限晓Mthe可般IIi潴称小牖ticn浊器d淮ISJ华哂螂僦?isoforeword.htn1.Thisdocumentwaspreparedb
10、yTechnica1.CommitteeISO/TC14,ShaftsOfmachineryandaccessories.Thissecondeditioncance1.sandrep1.acesthefirstedition(ISO4156-1:2005),whichhasbeentechnica1.1.yrevised.Themainchangescomparedtothepreviouseditioninc1.udes:ISO268-1hasbeenremovedfromC1.ause2;ISO4156-2andISO4156-3havebeenmovedfromG1.ae2toBib1
11、iography;thedefinitionsofbasediameter,majordiameter,minordiameterrdepthofengagement,theoretica1.c1.earance,out-of-roundness,andauxi1.iarydimensionhavebeenremoved;Symtert4mta4bion(mn)5tgAew8羽Oirns,accordingtoISO80000-3rhavebeenadopted inFigure8,c1.earancebetweenexterna1.sp1.ineandmatingparthasbeenco
12、rrected;inFigure corrected;10,measurementofspacewidth,effectiveandtooththickness,effectivehavebeen inFigure11,thefiguretit1.ehasbeenchanged;in-Pgwe-45.theindicationofformtoothheightandminortoothheighthasbeencorrected;inTab1.e11,theto1.eranceonPiifordiameter80to120inco1.umnH11hasbeencorrected;theprev
13、iousTab1.es14to17havebeencorrectedandmovedtoMwex-A;-inA.4,theca1.cu1.ationofMRCm11hasbeencomp1.eted.1.istofa1.1.partsintheISO4156seriescanbefoundontheISOwebsite.IntroductionISO4156(a1.1.parts)providesthedataandindicationsnecessaryforthedesign,manufactureandinspectionofstraight(non-he1.iw1.)side-fitt
14、ingcy1.indrica1.invo1.utesp1.ines.Straightcy1.indrica1.invo1.utesp1.inesmanufacturedinaccordancewithISO4156(a1.1.parts)areusedforc1.earance,s1.idingandinterferenceconnectionsofshaftsandhubs.Theycontaina1.1.thenecessarycharacteristicsfortheassemb1.y,transmissionoftorque,andeconomicproduction.Thenomin
15、a1.pressureang1.esare300,37,5and45o.Fore1.ectronicdataprocessingpurposes,theformofexpression37,5hasbeenadoptedinsteadof37o30*.ISO4156(a1.1.parts)estab1.ishesaspecificationbasedonthefo1.1.owingmodu1.es：forpressureang1.esof300and37,5themodu1.eincrementsare:0,5；0,75;1;1,25;15;1,75;2;2,5;3;4;5;6;8;10;fo
16、rpressureang1.eof45themodu1.eincrementsare:0,25;0,5；0,75;1;1,25;1,5;1,75;2;25Straightcy1.indrica1.invo1.utesp1.inesMetricmodu1.e,sidefit一Genera1.ities1Scope(non-he1.ica1.)side-fittingcy1.indrica1.invo1.utesp1.ines.Normativereferencesexpressedinmi1.1.imetresandangu1.ardimensionsindegrees.constitutesr
17、equirementsaredocument.Fordatedinreferences,on1.ySomeeditiona1.1.cjtedapp1.ies.contentorientation,Geometrica1.productspecifications(GPS)Geometrica1.Io1.erancingTo1.erancesofform,3TermsanddefinitionsISOandIECmaintaintermino1.ogica1.databasesforUSeinStandardiZatiOnatthefo1.1.owingaddresses:3.1 IECE1.e
18、ctropedia:avai1.ab1.eat4ttpwww.e1.etropeminimum3effectivespacewidth(ffvm111a1.waysequa1.tof)oftheinterna1.sp1.ine(3.3)is3.22actua1.tooththickness3.23effectivetooththickness,circu1.arinterference,1.engthbythesp1.inedassemb1.ywidthofthisinterna1.sp1.ine,consideringengagementofthe-493.24effectivec1.ear
19、anceNote1toentr,:For1.ooseness,cvispositive;forinterference,Cvisnegative.ISO2021-A1.1.rightsreservedPharc1.engthofthebasecirc1.e(3.15)betweentwoconsecutivecorrespondingf1.anksDFdiameterusedtodefinethedepthOfinvo1.uteprofi1.econtro1.Note1sp1.ine(IntheandantheSPHnC(3.4)for3O0,37.Soand45pressureang1.e(
20、3.13)sp1.ines,ha1.fthecircu1.arpitch(3.12),measuredatthepitchdiameter(3Q)for3O0,37.5oand450pressureang1.e(3.13)sp1.ines,ha1.fthecircu1.arpitch(3.12),measuredatthepitchdiameter(3.10)practica1.1.ymeasuredcircu1.arspacewidth,onthepitchcirc1.e(3.9),ofanysing1.espacewidthwithinthe1.imitva1.uesEmaxandEmIn
21、Evspacewidthwhereanimaginaryperfectexterna1.sp1.ine(3.4)wou1.dfitwithoutc1.earanceorinterference,gthofsizesp1.inedthicknessofthisexterna1.sp1.ine,consideringengagementoftheentireNote1toasTheTab1.e.practica1.1.ymeasuredrcu1.artooththickness,onthepitchcirc1.e(3.9),ofanysing1.etoothwithinthe1.imitva1.u
22、esSmaxandSm1.ntooththicknesssvhereanimaginaryperfectinterna1.sp1.ine(3.3)wou1.dfitwithoutc1.earanceoraxia1.givenofsizeofthespaceCv(1.oosenessorinterference)effectivespacewidthtcircu1.ar(3.21)oftheinternaIsp1.ine(3.3)minustheeffectivetooththickness,circu1.ar(3.23)oftheexterna1.sp1.ine(3.4)3.25formc1.
23、earanceCFradia1.c1.earancebetweentheformdiameteroftheinterna1.sp1.ine(3.3)andthemajordiameteroftheexterna1.sp1.ine(3.4)rorbetweentheminordiameteroftheinterna1.sp1.ineandtheformdiameteroftheH261toentry:Ita1.1.owseccentricityoftheirrespectivePMhcirc1.es(3.9).tota1.pitchdeviationFpabso1.uteva1.ueofthed
24、Ifferenctheoretica1.spacing,measured871toentry:SeeISO1328-1.tota1.profi1.edeviationFaabso1.uteva1.ueofthedifferenc中,铲Hca1.toothprofi1.e,mcastota1.he1.ixdeviationabso1.uteva1.ueofthedifferencpara1.1.e1.tothereferenceaxisNote1toentry:Thisinc1.udespar的1 referenceaxis2 centre1.ineofteeth3 effectivesp1.i
25、neaxisebetweenthegreatestpositiveandnegativedeviationsfromttatthepitchcirc1.e(3.9)ebetweenthegreatestpositiveandnegativedeviationsfromthurednorma1.tothef1.anksebetweenthetwoextremedeviationsfromthetheoretica1.direa1.1.e1.ismdeviation(3.29)andQ1.ignmenfdeviation(3.30),see4He4.-a)HeIiKdeviatio41b)Pya1
26、1.e1.temIMUnS1.io1.y3-c)A1.ignmentdeviationFigure1He1.ixdeviations3.29para1.1.e1.ismdeviationdeviationofpara1.1.e1.ismofasing1.esp1.inetoothtoanyothersing1.esp1.inetooth31toentry:Scc4we4b).a1.ignmentdeviationdeviationoftheeffectivesp1.ineaxiswithrespecttothereferenceaxis1toenty:See4H=e4c).effective
27、deviationSCmu1.atedeffectofthesp1.inedeviationsonthefitwiththematingpartdeviationa1.1.owancepermissib1.edeviationbetweenminimumactua1.andmini11HHtt-ecrvespacewidth,circu1.ar(3.21)or,Smumeffectiveandmaximumactua1.tooththickness(3.22)machiningto1.erancepermissib1.edeviationbetweenmaximumactua1.andmini
28、mumactua1.spacewidth(3.20)ortoothnesseffectivec1.earanceto1.eranceTvpermissib1.edeviationbetweenmaximumeffectiveandminimumeffectivespacewidth,circu1.ar(3.21)8c35tooththicknesstota1.to1.eranceT*蟋gera1.machiningto1.erance(3.33)p1.usthedeviationa1.1.owance(3.32)tota1.to1.erance(interna1.sp1.ine)diffemc
29、cbetweentheminimumeffectivespacewidth,circu1.ar(3.21)andthemaximumgqy/spacewidth(3.20)tota1.to1.erance(externa1.sp1.ine)differencebetveH4hemaximumeffectivetooththickness,circu1.ar(3.23)andthe把EmUmactua1.tooththickness(3.22)basicdimensionnumerica1.va1.uetodescribethetheoretica1.1.yexactsize,shapeor1.
30、ocationofafeatureNote1toentry：ItIsthebasisfromwhichpermissib1.edeviationsareestab1.ishedbyto1.erances.4Symbo1.s,subscriptsandabbreviatedterms4.1 Genera1.symbo1.sThegenera1.symbo1.susedtodesignatethevarioussp1.inetermsanddimensionsaregivenbe1.ow.bSp1.ine1.engthmmCFFormc1.earancemmCvEffectivec1.earanc
31、e(1.oosenessorinterference)nCvmaxMaximumeffectivec1.earancemCvm1.nMinimumeffectivec1.earancemdtxBa1.1.orpincontactdiameter,externa1.sp1.inemmIrBa1.1.orpincontactdiameter,interna1.sp1.inemmPitchdiametermmDFrFormdiameter,externa1.sp1.inemmDVcmxMaximumformdiameter,externa1.sp1.inemmDFiFonndiameter,inte
32、rna1.sp1.inemmDFiminMinimumformdiameter,inte11a1.sp1.inemmDRcDiameterofmeasuringba1.1.orpinforexterna1.sp1.inemmDRiDiameterofmeasuringba1.1.orpinforinterna1.sp1.inemmDbBasediametermmDecMajordiameter,externa1.sp1.inemmDevmaxMaximummajordiameter,externa1.sp1.inemmDgm1.nMinimummajordiameter,externa1.sp
33、1.inemmDciMajordiameter,interna1.sp1.inemmDeimaxMaximummajordiameter,interna1.sp1.inemmDciminMinimummajordiameter,interna1.sp1.inemmDierQsp1.ineApproximationfactorforinterna1.sp1.ine一Numberofmeasuredteeth1.ap111.engthbetweentwopoints(e.g.pointBandpointA)MReMeasurementovertwoba1.1.sorpinsfexterna1.sp1.inesmmModu1.emm如蜘Basiccircu1.artooththicknessmmMaimttnactua1.wotfiAckfessSmnMinimumactua1.tooththicknessmmSrBft11ettes5,drirMaximumeffectivetooththicknessmmSvmnMinimumeffectivetooththicknessmmMachiningto1.erancemMeasurementoverkteeth,externa1.sp1.inemmNumberofteeth(forexterna1.an
