Calculation of load capacity of bevel gears

© ISO 2017

Calculation of load capacity of bevel gears —Part 30: ISO rating system for bevel and hypoid gears — Sample calculationsCalcul de la capacité de charge des engrenages coniques —Partie 30: Système d'évaluation ISO pour engrenages conique et hypoïde - Type de calculs

TECHNICAL REPORT

ISO/TR10300-30

Reference numberISO/TR 10300-30:2017(E)

First edition2017-12

This preview is downloaded from www.sis.se. Buy the entire standard via https://www.sis.se/std-80000214

ISO/TR 10300-30:2017(E)

ii © ISO 2017 – All rights reserved

COPYRIGHT PROTECTED DOCUMENT

© ISO 2017, Published in SwitzerlandAll rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of the requester.

ISO copyright officeCh. de Blandonnet 8 • CP 401CH-1214 Vernier, Geneva, SwitzerlandTel. +41 22 749 01 11Fax +41 22 749 09 [email protected]


ISO/TR 10300-30:2017(E)

©ISO2017–Allrightsreserved iii

Contents Page

Foreword iv

Introduction v

1 Scope 1

2 Normative references 1

3 Terms and definitions 2

4 Symbols and abbreviated terms 2

5 Application 10 5.1 General 10 5.2 Structure of calculation methods 10

Annex A(informative)Sample 1: Rating of a spiral bevel gear pair without hypoid offset according to Method B1 and Method B2 12

Annex B(informative)Sample 2: Rating of a hypoid gear set according to Method B1 and Method B2 65

Annex C(informative) Sample 3: Rating of a hypoid gear set according to Method B1 and Method B2 125

Annex D(informative) Sample 4: Rating of a hypoid gear set according to Method B1 and Method B2 185

Annex E(informative)Graphical representation of the calculation results for Sample 1 to Sample 4 243

Bibliography 246


ISO/TR 10300-30:2017(E)

iv ©ISO2017–Allrightsreserved

Foreword

ISO (the International Organization for Standardization) is a worldwide federation of nationalstandards bodies (ISO member bodies). The work of preparing International Standards isnormallycarriedoutthroughISOtechnicalcommittees.Eachmemberbodyinterestedinasubjectforwhich a technical committee has been established has the right to be represented on thatcommittee.Internationalorganizations,governmentalandnon‐governmental,inliaisonwithISO,also take part in the work. ISO collaborates closely with the International ElectrotechnicalCommission(IEC)onallmattersofelectrotechnicalstandardization.

Theproceduresused todevelop thisdocument and those intended for its furthermaintenanceare described in the ISO/IEC Directives, Part 1. In particular, the different approval criterianeededforthedifferenttypesofISOdocumentsshouldbenoted.ThisdocumentwasdraftedinaccordancewiththeeditorialrulesoftheISO/IECDirectives,Part2(seewww.iso.org/directives).

Attention is drawn to the possibility that some of the elements of this document may be thesubjectofpatent rights. ISOshallnotbeheld responsible for identifyinganyor all suchpatentrights.DetailsofanypatentrightsidentifiedduringthedevelopmentofthedocumentwillbeintheIntroductionand/orontheISOlistofpatentdeclarationsreceived(seewww.iso.org/patents).

Anytradenameusedinthisdocumentisinformationgivenfortheconvenienceofusersanddoesnotconstituteanendorsement.

Foranexplanationonthevoluntarynatureofstandards,themeaningofISOspecifictermsandexpressions related to conformity assessment, aswell as information about ISO's adherence totheWorldTradeOrganization(WTO)principlesintheTechnicalBarrierstoTrade(TBT),seethefollowingURL:www.iso.org/iso/foreword.html.

ThisdocumentwaspreparedbyTechnicalCommitteeISO/TC60,Gears,SubcommitteeSC2,Gear capacity calculation.

AlistofallpartsintheISO10300seriescanbefoundontheISOwebsite.


http://www.iso.org/iso/foreword.html�

ISO/TR 10300-30:2017(E)

©ISO2017–Allrightsreserved v

Introduction

The ISO10300 series consists of International Standards, Technical Specifications (TS) andTechnical Reports (TR) under the general title Calculation of load capacity of bevel gears(seeTable1).

— International Standards contain calculation methods that are based on widely acceptedpracticesandhavebeenvalidated.

— TScontaincalculationmethodsthatarestillsubjecttofurtherdevelopment.

— TRcontaindatathatisinformative,suchasexamplecalculations.

TheproceduresspecifiedinISO10300‐1toISO10300‐19coverfatigueanalysesforgearrating.The procedures described in ISO10300‐20 to ISO10300‐29 are predominantly related to thetribological behaviour of the lubricated flank surface contact. ISO10300‐30 to ISO10300‐39include example calculations. The ISO10300series allows the addition of new parts underappropriatenumberstoreflectknowledgegainedinthefuture.

RequestingstandardizedcalculationsaccordingtoISO10300withoutreferringtospecificpartsrequirestheuseofonlythosepartsthatarecurrentlydesignatedasInternationalStandards(seeTable1forlisting).Whenrequestingfurthercalculations,therelevantpartorpartsofISO10300needtobespecified.UseofaTechnicalSpecificationasacceptancecriteria foraspecificdesignneedtobeagreedinadvancebetweenmanufacturerandpurchaser.

Table 1 — Overview of ISO 10300

Calculation of load capacity of bevel gears International

Standard Technical

Specification Technical

Report

Part 1: Introduction and general influence factors X

Part 2: Calculation of surface durability (pitting) X

Part 3: Calculation of tooth root strength X

Part 4 to 19: to be assigned

Part 20: to be assigned for scuffing of bevel and hypoid gears

Part 21 to 29: to be assigned

Part 30: ISO rating system for bevel and hypoid gears — Sample calculations

X

At the timeofpublicationof thisdocument, someof theparts listedherewereunderdevelopment.Consult the ISOwebsite.

Thisdocumentwaspreparedwithsamplecalculationsfordifferentbevelgeardesigns.Theyareintended for users of the ISO10300 series to follow awhole calculation procedure formula byformula. Practical experience has shown that this way, to get into a complex subject, is veryhelpful.

On theotherhand, thisdocument isnot intended foruseby theaverageengineer.Rather, it isaimedatthewell‐versedengineercapableofselectingreasonablevaluesfortheparametersandfactorsintheseformulaebasedonknowledgeofsimilardesignsandonawarenessoftheeffectsbehindtheseformulae.


ISO/TR 10300-30:2017(E)

vi ©ISO2017–Allrightsreserved


TECHNICAL REPORT ISO/TR 10300-30:2017(E)

©ISO2017–Allrightsreserved 1

Calculation of load capacity of bevel gears — Part 30: ISO rating system for bevel and hypoid gears — Sample calculations

1 Scope

This document provides sample calculations for different bevel gear designs, how the loadcapacity is numerically determined according to the methods and formulae of theISO10300series.The initialgeometricgeardatanecessary for thesecalculations inaccordancewithISO23509.

Theterm“bevelgear”isusedtomeanstraight,helical(skew),spiralbevel,zerolandhypoidgeardesigns. Where this document pertains to one or more, but not all, the specific forms areidentified.

The manufacturing process of forming the desired tooth form is not intended to imply anyspecificprocess,butrathertobegeneralinnatureandapplicabletoallcalculationmethodsoftheISO10300series.Thefactthattherearebevelgeardesignswithtaperedteethandotherswherethetoothdepthremainsconstantalongthefacewidth(uniformdepth)doesnotdemandtoapplyMethodB2forthefirstandMethodB1forthesecondtoothconfiguration.

Theratingsystemof theISO10300series isbasedonvirtualcylindricalgearsandrestrictedtobevelgearswhosevirtualcylindricalgearshavetransversecontactratiosofεvα<2.Additionally,thegivenrelationsarevalidforbevelgearsofwhichthesumofprofileshiftcoefficientsofpinionandwheeliszero(seeISO23509).

WARNING:Theuseriscautionedthatwhentheformulaeareusedforlargeaveragemeanspiralangles, (βm1 +βm2)/2>45°, for effective pressure angles,αe>30° and/or for large facewidths,b>13mmn,thecalculatedresultsoftheISO10300seriesshouldbeconfirmedbyexperience.

2 Normative references

Thefollowingdocumentsarereferredtointhetextinsuchawaythatsomeoralloftheircontentconstitutes requirementsof thisdocument.Fordatedreferences,only theeditioncitedapplies.For undated references, the latest edition of the referenced document (including anyamendments)applies.

ISO10300‐1:2014,Calculation of load capacity of bevel gears — Part 1: Introduction and general influence factors

ISO10300‐2:2014, Calculation of load capacity of bevel gears — Part 2: Calculation of surface durability (pitting)

ISO10300‐3:2014, Calculation of load capacity of bevel gears — Part 3: Calculation of tooth root strength


ISO/TR 10300-30:2017(E)

2 ©ISO2017–Allrightsreserved

3 Terms and definitions

For the purposes of this document, the terms and definitions given in ISO10300‐1 andISO10300‐2apply.

ISO and IEC maintain terminological databases for use in standardization at the followingaddresses:

— ISOOnlinebrowsingplatform:availableathttps://www.iso.org/obp

— IECElectropedia:availableathttps://www.electropedia.org/

4 Symbols and abbreviated terms

Forthepurposesofthisdocument,thesymbolsandunitsgiveninISO10300‐1:2014,Table1andTable2,aswellastheabbreviatedtermsgiveninISO10300‐2:2014,Table1,apply.

Table 2 — Symbols and units used in ISO 10300 (all parts)

Symbol Description or term Unit

a hypoidoffset mm

arel relativehypoidoffset —

av centredistanceofvirtualcylindricalgearpair mm

avn centredistanceofvirtualcylindricalgearpairinnormalsection mm

b facewidth mm

bb relatedbasefacewidth —

bce calculatedeffectivefacewidth mm

beff effectivefacewidth(e.g.measuredlengthofcontactpattern) mm

bv facewidthofvirtualcylindricalgears mm

bveff effectivefacewidthofvirtualcylindricalgears mm

cham meanaddendumfactorofwheel —

cv empiricalparametertodeterminethedynamicfactor —

cγ meanvalueofmeshstiffnessperunitfacewidth N/(mm·µm)

cγ0 meshstiffnessforaverageconditions N/(mm·µm)

c’ singlestiffness N/(mm·µm)

c0’ singlestiffnessforaverageconditions N/(mm·µm)

de outerpitchdiameter mm

dm meanpitchdiameter mm

dT tolerancediameteraccordingtoISO17485 mm

dv referencediameterofvirtualcylindricalgear mm

dva tipdiameterofvirtualcylindricalgear mm

dvan tipdiameterofvirtualcylindricalgearinnormalsection mm

dvb basediameterofvirtualcylindricalgear mm


ISO/TR 10300-30:2017(E)



dvbn basediameterofvirtualcylindricalgearinnormalsection mm

dvf rootdiameterofvirtualcylindricalgear mm

dvn referencediameterofvirtualcylindricalgearinnormalsection mm

e exponentforthedistributionoftheloadpeaksalongthelinesofcontact

—

f distancefromthecentreofthezoneofactiontoacontactline mm

fmax maximumdistancetomiddlecontactline mm

fmaxB maximumdistancetomiddlecontactlineatrightsideofthecontactpattern

mm

fmax0 maximumdistancetomiddlecontactlineatleftsideofthecontactpattern

mm

fpt singlepitchdeviation µm

fpeff effectivepitchdeviation µm

fαlim Influencefactoroflimitpressureangle

gc lengthofcontactline(MethodB2) mm

gvα lengthofpathofcontactofvirtualcylindricalgearintransversesection

mm

gvαn relatedlengthofactioninnormalsection —

gJ lengthofactionfrommeanpointtopointofloadapplication(MethodB2)

mm

gη relativelengthofactionwithinthecontactellipse mm

ham meanaddendum mm

ha0 tooladdendum mm

hfm meandedendum mm

hfP dedendumofthebasicrackprofile mm

hm meanwholedepthusedforbevelspiralanglefactor mm

hvfm relativemeanvirtualdedendum —

hFa bendingmomentarmfortoothrootstress(loadapplicationattoothtip)

mm

hN loadheightfromcriticalsection(MethodB2) mm

jen outernormalbacklash mm

k′ contactshiftfactor —

kc clearancefactor —

kd depthfactor —

khap basiccrowngearaddendumfactor(relatedtommn) —

khfp basiccrowngeardedendumfactor(relatedtommn) —

kt circularthicknessfactor —

lb lengthofcontactline(MethodB1) mm


ISO/TR 10300-30:2017(E)



lb0 theoreticallengthofcontactline mm

lbm theoreticallengthofmiddlecontactline mm

met outertransversemodule mm

mmn meannormalmodule mm

mmt meantransversemodule mm

mred massperunitfacewidthreducedtothelineofactionofdynamicallyequivalentcylindricalgears

kg/mm

m* relatedindividualgearmassperunitfacewidthreferredtothelineofaction

kg/mm

n rotationalspeed min–1

nE1 resonancespeedofpinion min–1

p peakload N/mm

pet transversebasepitch(MethodB2) mm

pmax maximumpeakload N/mm

p* relatedpeakloadforcalculatingtheloadsharingfactor(MethodB1) —

pmn relativemeannormalpitch —

pnb relativemeannormalbasepitch —

pvet transversebasepitchofvirtualcylindricalgear(MethodB1) mm

q exponentintheformulaforlengthwisecurvaturefactor —

qs notchparameter —

rc0 cutterradius mm

rmf toothfilletradiusattherootinmeansection mm

rmpt meanpitchradius mm

rmy0 meantransverseradiustopointofloadapplication(MethodB2) mm

rva relativemeanvirtualtipradius —

rvn relativemeanvirtualpitchradius —

smn meannormalcircularthickness mm

spr amountofprotuberanceatthetool mm

sFn toothrootchordincalculationsection mm

sN one‐halftooththicknessatcriticalsection(MethodB2) mm

u gearratioofbevelgear —

uv gearratioofvirtualcylindricalgear —

vet tangentialspeedatouterend(heel)ofthereferencecone m/s

vetmax maximumpitchlinevelocityatoperatingpitchdiameter m/s

vg slidingvelocityinthemeanpointP m/s

vgpar slidingvelocityparalleltothecontactline m/s

vgvert slidingvelocityverticaltothecontactline m/s


ISO/TR 10300-30:2017(E)



vmt tangentialspeedatmidfacewidthofthereferencecone m/s

vΣ sumofvelocitiesinthemeanpointP m/s

vΣh sumofvelocitiesinprofiledirection m/s

vΣl sumofvelocitiesinlengthwisedirection m/s

vΣvert sumofvelocitiesverticaltothecontactline m/s

w angleofcontactlinerelativetotherootcone °

xhm profileshiftcoefficient —

xsm thicknessmodificationcoefficient(backlashincluded) —

xsmn thicknessmodificationcoefficient(theoretical) —

xN toothstrengthfactor(MethodB2) mm

xoo distancefrommeansectiontopointofloadapplication mm

yp running‐inallowanceforpitchdeviationrelatedtothepolishedtestpiece

µm

yJ locationofpointofloadapplicationformaximumbendingstressonpathofaction(MethodB2)

mm

y3 locationofpointofloadapplicationonpathofactionformaximumrootstress

mm

yα running‐inallowanceforpitcherror µm

z numberofteeth —

zv numberofteethofvirtualcylindricalgear —

zvn numberofteethofvirtualcylindricalgearinnormalsection —

z0 numberofbladegroupsofthecutter —

A auxiliaryfactorforcalculatingthedynamicfactorKv−C —

A* relatedareaforcalculatingtheloadsharingfactorZLS mm

Asne outertooththicknessallowance mm

B accuracygradeaccordingtoISO17485 —

CF correctionfactoroftoothstiffnessfornon‐averageconditions —

Clb correctionfactorforthelengthofcontactlines —

CZL,CZR,CZV constantsfordetermininglubricantfilmfactors —

E modulusofelasticity,Young’smodulus N/mm2

E, G, H auxiliaryvariablesfortoothformfactor(MethodB1) —

F auxiliaryvariableformid‐zonefactor —

Fmt nominaltangentialforceatmidfacewidthofthereferencecone N

FmtH determinanttangentialforceatmidfacewidthofthereferencecone N

Fn nominalnormalforce N

Fvmt nominaltangentialforceofvirtualcylindricalgears N

HB Brinellhardness —


ISO/TR 10300-30:2017(E)



K constant;factorforcalculatingthedynamicfactorKv−B —

Kv dynamicfactor —

Kv* preliminarydynamicfactorfornon‐hypoidgears —

KA applicationfactor —

KF0 lengthwisecurvaturefactorforbendingstress —

KFα transverseloadfactorforbendingstress —

KFβ faceloadfactorforbendingstress —

KHα transverseloadfactorforcontactstress —

KHα* preliminarytransverseloadfactorforcontactstressfornon‐hypoidgears

—

KHβ faceloadfactorforcontactstress —

KHβ−be mountingfactor —

N referencespeedrelatedtoresonancespeednE1 —

NL numberofloadcycles —

P nominalpower kW

Ra =CLA=AAarithmeticaverageroughness µm

Re outerconedistance mm

Rm meanconedistance mm

Rmpt relativemeanbackconedistance —

Rz meanroughness µm

Rz10 meanroughnessforgearpairswithrelativecurvatureradiusρrel=10mm

µm

SF safetyfactorforbendingstress(againstbreakage) —

SFmin minimumsafetyfactorforbendingstress —

SH safetyfactorforcontactstress(againstpitting) —

SHmin minimumsafetyfactorforcontactstress —

T1,2 nominaltorqueofpinionandwheel Nm

Wm2 wheelmeanslotwidth mm

Y1,2 toothformfactorofpinionandwheel(MethodB2) —

Yf stressconcentrationandstresscorrectionfactor(MethodB2) —

Yi inertiafactor(bending) —

YA rootstressadjustmentfactor(MethodB2) —

YBS bevelspiralanglefactor —

YFa toothformfactorforloadapplicationatthetoothtip(MethodB1) —

YFS combinedtoothformfactorforgeneratedgears —

YJ bendingstrengthgeometryfactor(MethodB2) —

YLS loadsharingfactor(bending) —


ISO/TR 10300-30:2017(E)



YNT lifefactor(bending) —

YRrelT relativesurfaceconditionfactor —

YSa stresscorrectionfactorforloadapplicationatthetoothtip —

YST stresscorrectionfactorfordimensionsofthestandardtestgear —

YX sizefactorfortoothrootstress —

YδrelT relativenotchsensitivityfactor —

Yε contactratiofactorforbending(MethodB1) —

Zi inertiafactor(pitting) —

Zv speedfactor —

ZA contactstressadjustmentfactor(MethodB2) —

ZE elasticityfactor —

ZFW facewidthfactor —

ZHyp hypoidfactor —

ZI pittingresistancegeometryfactor(MethodB2) —

ZK bevelgearfactor(MethodB1) —

ZL lubricantfactor —

ZLS loadsharingfactor(MethodB1) —

ZM‐B midzonefactor —

ZNT lifefactor(pitting) —

ZR roughnessfactorforcontactstress —

ZS bevelslipfactor —

ZW workhardeningfactor —

ZX sizefactor —

αa adjustedpressureangle(MethodB2) °

αan normalpressureangleattoothtip °

αdD,C nominaldesignpressureanglefordriveside/coastside °

αet effectivepressureangleintransversesection °

αeD,C effectivepressureanglefordriveside/coastside °

αf limitpressureangleinwheelrootcoordinates(MethodB2) °

αlim limitpressureangle °

αnD,C generatedpressureanglefordriveside/coastside °

αvet transversepressureangleofvirtualcylindricalgears °

αFan loadapplicationangleattoothtipofvirtualcylindricalgear(MethodB1)

°

αL normalpressureangleatpointofloadapplication(MethodB2) °

βbm meanbasespiralangle °

βm meanspiralangle °


ISO/TR 10300-30:2017(E)



βv helixangleofvirtualgear(MethodB1),virtualspiralangle(MethodB2)

°

βvb helixangleatbasecircleofvirtualcylindricalgear °

βB inclinationangleofcontactline °

γ auxiliaryangleforlengthofcontactlinecalculation(MethodB1) °

γ′ projectedauxiliaryangleforlengthofcontactline °

γa auxiliaryanglefortoothformandtoothcorrectionfactor °

δ pitchangleofbevelgear °

δa faceangle °

δf rootangle °

εvα transversecontactratioofvirtualcylindricalgears —

εvαn transversecontactratioofvirtualcylindricalgearsinnormalsection —

εvβ facecontactratioofvirtualcylindricalgears —

εvγ virtualcontactratio(MethodB1),modifiedcontactratio(MethodB2) —

εN loadsharingratioforbending(MethodB2) —

εNI loadsharingratioforpitting(MethodB2) —

ζm pinionoffsetangleinaxialplane °

ζmp pinionoffsetangleinpitchplane °

ζR pinionoffsetangleinrootplane °

θ auxiliaryquantityfortoothformandtoothcorrectionfactors —

θmp auxiliaryangleforvirtualfacewidth(MethodB1) °

θa2 addendumangleofwheel °

θf2 dedendumangleofwheel °

θv2 angularpitchofvirtualcylindricalwheel radiant

ξ assumedangleinlocatingweakestsection °

ξh onehalfofanglesubtendedbynormalcirculartooththicknessatpointofloadapplication

°

ρ densityofgearmaterial kg/mm3

ρa0 cutteredgeradius mm

ρF filletradiusatpointofcontactof30°tangent mm

ρFn filletradiusatpointofcontactof30°tangentinnormalsection mm

ρfP rootfilletradiusofbasicrackforcylindricalgears mm

ρrel radiusofrelativecurvatureverticaltocontactlineatvirtualcylindricalgears

mm

ρt radiusofrelativeprofilecurvature(MethodB2) mm

ρva0 relativeedgeradiusoftool —

ρ′ sliplayerthickness mm


ISO/TR 10300-30:2017(E)



σF toothrootstress N/mm2

σF0 nominaltoothrootstress N/mm2

σFlim nominalstressnumber(bending) N/mm2

σFE allowablestressnumber(bending) N/mm2

σFP permissibletoothrootstress N/mm2

σH contactstress N/mm2

σHlim allowablestressnumberforcontactstress N/mm2

σHP permissiblecontactstress N/mm2

τ anglebetweentangentofrootfilletatweakestpointandcentrelineoftooth

°

ν Poisson’sratio —

ν0 leadangleoffacehobbingcutter °

ν40,ν50 nominalkinematicviscosityoftheoilat40°Cand50°C,respectively mm2/s

ϕ auxiliaryangletodeterminethepositionofthepitchpoint °

ω angularvelocity rad/s

ωΣ anglebetweenthesumofvelocitiesvectorandthetraceofpitchcone °

χX relativestressdropinnotchroot mm−1

χTX relativestressdropinnotchrootofstandardizedtestgear mm−1

Σ shaftangle °

Table 3 — Generally used subscripts in ISO 10300 (all parts)

Subscripts Description

0 tool

1 pinion

2 wheel

A,B,B1,B2,C valueaccordingtoMethodA,B,B1,B2orC

D driveflank

C coastflank

T relativetostandardizedtestgeardimensions

(1),(2) trialsofinterpolation


ISO/TR 10300-30:2017(E)


5 Application

5.1 General

Thisdocumentprovidesfoursamplecalculations:

— Sample1isaratingofaspiralbevelgearpairwithouthypoidoffsetaccordingtoMethodB1andMethodB2(seeAnnexA);

— Sample 2 is a rating of a hypoid gear set according to Method B1 and Method B2 (seeAnnexB);

— Sample 3 is a rating of a hypoid gear set according to Method B1 and Method B2 (seeAnnexC);

— Sample 4 is a rating of a hypoid gear set according to Method B1 and Method B2 (seeAnnexD).

5.2 Structure of calculation methods

Figure1 shows three boxes that represent the individual three parts of ISO10300. However,theseboxesaresubdividedintoaleftsidewhereinfluencefactorsaredeterminedonthebasisofmainlyoperationaldataaccordingtoMethodsA,BorC(seeISO10300‐1:2014,5.1)andarightsidewhereseparatecalculationproceduresareprovidedaccordingtoMethodB1andMethodB2whichareassumedtohavethesamelevelBbutdifferentapproaches.Thesetwomethodsrefertothe determination of virtual cylindrical gears in ISO10300‐1, the gear flank rating formulae inISO10300‐2andthegeartoothratingformulaeinISO10300‐3.


ISO/TR 10300-30:2017(E)


a Onesetofformulaeforboth,bevelandhypoidgears.b Separatesetsofformulaeforbevelandforhypoidgears.

Figure 1 — Structure of calculation methods in ISO 10300 (all parts)


ISO/TR 10300-30:2017(E)


Annex A (informative)

Sample 1: Rating of a spiral bevel gear pair without hypoid offset according to Method B1 and Method B2

A.1 Initial data

Sample1isforaspiralbevelgearpairwithouthypoidoffsetwhichusesMethod0accordingtoISO23509.

Table A.1 — Initial data for pitch cone parameters

Symbol Description Method 0 Method 1 Method 2 Method 3

Σ shaftangle 90° X X X

a hypoidoffset 0mm X X X

z1,2 numberofteeth 14/39 X X X

dm2 meanpitchdiameterofwheel — — X —

de2 outerpitchdiameterofwheel 176,893mm X — X

b2 wheelfacewidth 25,4mm X X X

βm1 meanspiralangleofpinion 35° X — —

βm2 meanspiralangleofwheel 35° — X X

rc0 cutterradius 114,3mm X X X

z0numberofbladegroups(onlyfacehobbing) — — X X


ISO/TR 10300-30:2017(E)


Table A.2 — Input data for tooth profile parameters

Data type I Data type II

Symbol Description Symbol Description

αdD 20°

αdC 20°

fαlim 0

xhm1 — cham 0,24737

khap — kd 2,000

khfp — kc 0,125

xsmn —kt

Wm2

0,0915

—

jen 0,127mm

θa2 2,1342°

θf2 6,4934°

ρa01D,C 0,8mm/0,8mm

ρa02D,C 1,2mm/1,2mm

spr1D,C 0mm/0mm

spr2D,C 0mm/0mm


Calculation of load capacity of bevel gears

Documents

Transcript of Calculation of load capacity of bevel gears