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Geometric dimensioning and tolerancing

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  • GeometricDimensioning&Tolerancing

    (GD&T)Level1TrainingManual

  • 2 HexagonMetrologyGD&T Issue1May2006

    INDEX

    Chapter

    1. CourseIntroduction..IntroductionHexagonqualityassurancedocumentationAgendaCourseobjectives

    2. IntroductiontoGeometricalProductSpecificationsIntroductiontoGPSRequirementsofGPS

    3. DatumsDatumsReferenceframesAxisPlaneTarget

    4. FormTolerancesCircularity(Roundness)StraightnessFlatnessCylindricity

    5. LocationTolerancesLocationRegardlessofFeaturesizeMaximumMaterialCondition(MaximumMaterialReference)Concentricity/CoaxialitySymmetry

    6. OrientationTolerances.ParallelismPerpendicularityAngularity

    7. ProfileTolerances.ProfileofalineProfileofasurface

    8. RunoutTolerances..RunoutCircularRunoutTotalRunout

    9. Appendix..FurtherMMCoptionsBasicSymbolsHexagoncontacts

  • 3 HexagonMetrologyGD&T Issue1May2006

    CourseIntroduction

    INTHISCHAPTER

    11

    Introduction Hexagonqualityassurance

    documentation Agenda Courseobjectives

  • 4 HexagonMetrologyGD&T Issue1May2006

    IntroductiontoGD&TTrainingCourse

    WelcometoHexagonMetrology

    Hexagonmetrologywelcomesyoutodaytotheirmetrologyfacilityandhopesthatyourvisitwillbeenjoyable,interestingandinformative.DuringtheintroductionsessionwerespectivelyrequestthatyoutakenoteofanyhealthandsafetyrequirementsandthatyoucompletetheHexagonMetrologyqualityassurancedocumentation.

    Theinformationprovidedwillcontributetofuturedevelopmentofbothexistingandnewtrainingcourses.

    IntroductionOverview

    Welcome

    IntroductiontoHexagonMetrology

    Health&Safety

    Coursesubsistencearrangements

    CourseContentandTimes

    Traineeregistrationandbackground

    Trainingmanualcontents

    Workbookprincipals

    Evaluation

    Certification

    Furthercourses

  • 5 HexagonMetrologyGD&T Issue1May2006

    CourseAgendaPleaseseethefollowingoverviewofthecourseagendaforboththe

    Day1 Introduction/Courseaims&Objectives GD&TTheory

    o IntroductiontoGeometricProductSpecifications(GPS)o OverviewofGeometricDimensioningandTolerancing(GD&T)o Standardso Datum Systemso UnderstandingtheBasicSymbolsofGD&To Formo Locationo Orientationo Runouto Profileo MaximumMaterialCondition

    Pleasenote:CoursecontentandorderissubjecttochangeatthediscretionoftheTrainingInstructor

  • 6 HexagonMetrologyGD&T Issue1May2006

    CourseObjectives

    ToachieveaBasicunderstandingofGeometricDimensioningandTolerancing(GD&T)inthefollowingareas:

    IntroductiontoGeometricProductSpecifications(GPS) OverviewofGeometricDimensioningandTolerancing(GD&T) Standards Datum Systems UnderstandingtheBasicSymbolsofGD&T MaximumMaterialCondition

    TrainingManualandworkbookEachtraineewillbeprovidedwithatrainingmanualandworkbookcoveringdifferentaspectsofthelevel1courseonly

    Whatthistrainingmanualis!The training manual is provided as a reminder to each student of the importantrequirements that lead to the successful understanding of GD & T principles andappropriatemeasurementstrategies.

    Whatthistrainingmanualisnot!Itisnotanotherversionofatechnicalmanual.orstandard

    Whatistheworkbook?Theworkbook provides evidenceof competenceachieved byeach trainee duringthetrainingcourse.Itwillincludeexercisestocheckthatlearninghastakenplace

    EvaluationAsweallknowevaluationisveryimportant.Theworkbookwillprovideamethodofevaluatingeachtraineescompetenceandgivethetraineeevidencetotakebackforthemselves and their employer of their achievements during the course.Based onthe results obtained and evaluated by your training instructor, a certificate will beissued. The assessment of competence can only be judged at the time of thecourse. This does not mean that the trainee can be classed as an expert, it isimportant for the trainees to implement the techniques they have learned on theirreturntotheirrespectivecompany.

    CourseevaluationHexagonmetrologytakesprideintheservicesitprovidesandcontinuestostrivetoimprovethisqualityservice.Itisimportantforustogetfeedbackaboutourservices.Aspartofthisprocess,wewillkindlyrequestthatoncompletionofyourcourseyoucompleteatrainingevaluationform.

    Duringeachsessionof thecourse thestudentswillbeencouragedtoparticipateinboththetheoreticalandpracticalelements.

    Questionsandanswerssessionsfortheaboveelementsandanyotherrequirementswillbeincludedasrequested.

  • 7 HexagonMetrologyGD&T Issue1May2006

    GeometricalProductSpecification(GPS)

    INTHISCHAPTER

    22

    IntroductiontoGPS RequirementsofGPS

  • 8 HexagonMetrologyGD&T Issue1May2006

    Atthefirstdesignstagesofcomponentparts,thedesignerimaginestheproducttobeanideal,perfectobject.Allcomponentpartsareassumedtobeofperfectformandsize.

    Duringthemanufacturingprocessescomponentpartsvaryinmanydifferentways,formerrorsandchangestothesurfaceparametersbecomeapparentwhenusingdifferentmanufacturingmethods.

    Theseerrorsandparameterchangescanhaveagreateffectonthefunctionalityofthecomponent.

    Itisthereforecriticalthatthesedefinitionsarestandardisedandunderstood,sothatthevariationthatisinherenttomanufacturingprocessescanbetakenintoaccounttominimisewasteproductsandassemblies.

    Tobeableunderstandthegeometricalvariationswithincomponentpartsasetofrequirementshavebeenproduced.

    TheseareknownasGeometricalProductSpecifications(GPS),coveringrequirementsonsizesanddimensions,geometricaltolerancesandgeometricalpropertiesofsurface

    ExtractedfromtheDTINationalMeasurementGoodPracticeguideNo80FundamentalGoodpracticeinDimensionalMetrology.(AvailablefromtheNationalPhysicalLaboratoryNPLTeddington,Middlesex,UnitedKingdom

    Formoflineandsurface Independentofdatum Dependentondatum

    GPSModel

    Orientation

    Location

    Circularrunout

    Totalrunout

    Datum

    Roughnessprofile Wavinessprofile Primaryprofile Surfaceimperfections

    Size Distance Radius Angle

  • 9 HexagonMetrologyGD&T Issue1May2006

    TheGPSstandardtechnicalrulesareorganisedintosixchainlinksforanygivencharacteristic

    1. Therules,symbolsandhowtounderstandthespecificationsofproductdocumentation

    2. Theoreticaldefinitionsoftolerancesandtheirnumericalvalues.3. Geometryofanonideal,realworkpiecedefinedinrelationtotolerance

    symbolsonthedrawing.4. Theconformance,nonconformanceofrealworkpiecedeviationsto

    specificationtakingintoaccountmeasurementuncertainty5. Generalapproachtomeasurementequipmenttypesandrequirements6. Calibrationstandards,proceduresandrequirementsofthemeasuring

    equipmentusedandtherelinktoNationalandinternationalStandards

    ExtractedfromtheDTINationalMeasurementGoodPracticeguideNo80FundamentalGoodpracticeinDimensionalMetrology.(AvailablefromtheNationalPhysicalLaboratoryNPLTeddington,Middlesex,UnitedKingdom)

    GeometricDimensioningandTolerancing(GD&T)isauniversallanguageofsymbols,muchliketheinternationalsystemofroadsignsthatadvisedrivershowtonavigatetheroads.

    GD&TsymbolsallowaDesignEngineertopreciselyandlogicallydescribepartfeaturesinawaytheycanbeaccuratelymanufacturedandinspected.TodothisuseismadeofanengineeringdrawingorCADmodeltoprovidetheinformation

    AnEngineeringDrawingandCADmodelhasapurposetoshowtherequireddesignfunctionandthereforeallowallpartiesinvolvedtointerpretthedesignrequirements

    GeometricDimensioningandTolerancing(GD&T)isusedinconjunctionwithstandarddimensioningtodescribethegeometryofproductsandtheirrelationshipbetweenvariousfunctionalpartsorassemblies

    TheinterpretationoftheTechnicalDrawingsusingGD&Tisdoneinvariousways.Thedesignerwillmakeuseofvarioussymbolslinkedtodifferentcategories.Eachoptionavailabletothedesignershouldbedefinedbyutilisingsomeofthefollowing

    FeatureControlFrames

    GeometricCharacteristics(Symbols)

    GeometricReferences(Datums)

    ToleranceShapes

    ToleranceZones(Values)

  • 10 HexagonMetrologyGD&T Issue1May2006

  • 11 HexagonMetrologyGD&T Issue1May2006

    FeatureControlFramesandDatumDefinitions

    INTHISCHAPTER

    33

    FeatureControlFrames Datums Axis Plane Target

  • 12 HexagonMetrologyGD&T Issue1May2006

    Geometrictolerancesarenormallyexpressesbyusingacombinationoffeaturecontrolframesanddatumreferencesymbols.NormallyGD&TsymbolswillonlybepartofthedimensioningshownonthedrawingorCADmodel.Rememberstandardbilateralandunilateraltoleranceswillbeshownalongwithotherparametersaboutthesurfacetexturerequirementsandmaterialspecifications.

    Geometrictolerancesaredefinedwithinfeaturecontrolframes.Theseframesarespecificallydesigned.Somearerelativetoadatumreference,somearerelativetothemselves.Thefeaturecontrolframeislikeabasicsentencethatcanbereadfromlefttoright.Examplesoffeaturecontrolframesareshownbelow

    FeatureControlframes

    GeometricSymbolofControl

    (Symbol)

    ToleranceZoneandshape

    PrimaryDatum

    SecondaryDatum

    TertiaryDatum

    1 2

    3

    4

    OneDatumReference

    TwoDatumReferences

    ThreeDatumsReferences

    NoDatumReference

  • 13 HexagonMetrologyGD&T Issue1May2006

    Thegeometricsymbolofcontrolisspecifiedonthelefthandside.Thiswillvarydependingontherequirementandfunctionalityrequiredfromthefeatureandcomponentpart

    Theshapeandtolerancewithinthefeaturecontrolframedeterminethelimitsofproductionvariability.

    DatumexamplesThePrimaryDatumcanbedefinedbyaminimumof3pointcontactonasurfaceorbythegenerationofa3DAxisthroughaminimumof2features.

    TheSecondaryDatumcanbedefinedfromaminimumof2points,ofanedgeorthroughanaxisrelativetothePrimarydatum

    TheTertiaryDatumcanbedefinedbyaminimumofonepointinrelationtothePrimaryandsecondarydatums

    TechnicalDrawingshowingthedatumdefinitions(Measurementterms:alignmentorcoordinatesystem)

  • 14 HexagonMetrologyGD&T Issue1May2006

    TechnicalDrawingshowingthedatumrelationships

    FeatureControlFramesDefinitions

    NoDatumReference

    SingleDatumReference

    MultipleDatumReference

    0.035

    0.145 AB

    0.085 A

  • 15 HexagonMetrologyGD&T Issue1May2006

    TwoDatumReference

    ThreeDatumReference

    Tolerancezonesoveraspecifiedlength

    CombinedToleranceZone

    0.01/100

    0.01mmoverany100mmlength

    0.05mmoverany190mmlengthOveralltolerance0.2mm,but

    0.05/190

    0.2

    0.145

    A B0.200

  • 16 HexagonMetrologyGD&T Issue1May2006

    TheoreticallyexactdimensionsDimensiondefiningthetheoreticalexactpositionaredefinedinabox.Eachofthesedimensionsshouldhaveafeaturecontrolframeattachedatsomestagetodefineatoleranceotherwisethesedimensionsshouldbeproducedperfectlytothesesizeswithnovariation.

    Datumsymbols

    Thedatumsymbolsusedarenormallyspecifiedasbelow.TheuseofaletteristheconventionusedofspecifiedwithintheASMEandISOstandards

    Thedatumsymbolscanbepositionedindifferentplacesonadrawingtodefinetherequirementsofthecomponentpart.Eachtimethedatumsymbolsareusedthisshouldtellthemanufacturingandmeasurementdepartmentshowtosetupthepart.Itiscriticalthattheinterpretationofthisiscorrecttoavoidanyerrorsinthesetupofboththemachinetoolandthemeasurementequipmentused.

    A B

    38 1564

    6.2

  • 17 HexagonMetrologyGD&T Issue1May2006

    DatumAxis

    DatumPlaneorextension

    Drawingexamplesofbothaxisandplane

    A A

    FeatureOutline FeatureExtension

  • 18 HexagonMetrologyGD&T Issue1May2006

    Axisandplanewiththealternativeoptionofspecifyingadatum

  • 19 HexagonMetrologyGD&T Issue1May2006

    DatumTargets

    Datumscanbedefinedformanufacturingpurposesastargets.Oftenusedinthecastingindustry.Theycouldbeusedtocreatethefinaldatumsofthecomponentpart.Thesetargetsarenormallycategorisedasonofthefollowing

    Point

    Line

    Area

    PointDatumtargetpointfromthecornerisdefinedasbelow.Thiscouldbelocatedonthecomponentbytheuseofapredefinedfixture

    LineDatumtargetlinefromthecornerisdefinedasbelow.Thiscouldbelocatedonthecomponentbytheuseofapredefinedfixture

    C

    6

    6

    90

    B1 B1

  • 20 HexagonMetrologyGD&T Issue1May2006

    AreaDatumtargetareasfromthecorneraredefinedasbelow.Thesecouldbeeithercircularorboxedasshown.Thiscouldbelocatedonthecomponentbytheuseofapredefinedfixture

    ThreedatumtargetareasspecifyingtheprimarydatumA

    7

    A1 9 4

    7

    12

    2x2 4 A2

    12 5

  • 21 HexagonMetrologyGD&T Issue1May2006

    TwolinesspecifyingthesecondarydatumBandapointspecifyingtheTertiarydatumC

    TwodiametersdefiningtheDatumthroughacommonaxis

  • 22 HexagonMetrologyGD&T Issue1May2006

    Primaryandsecondarydatumsascheckedbyagauge

  • 23 HexagonMetrologyGD&T Issue1May2006

    FormTolerance

    INTHISCHAPTER

    44

    Circularity(Roundness) Straightness Flatness Cylindricity

  • 24 HexagonMetrologyGD&T Issue1May2006

    Circularity

    CircularityalsoknownasRoundnessinthisexampletheshapeofthediametertobeproducedandmeasuredshouldberoundwithinatolerancezoneof0.040

    Thetoleranceisspecifiedbyazoneboundedbytwoconcentriccircles

    ThemeasurementofcircularitycanbeachievedbydifferentmethodsnormallybyaspecificroundnessmeasuringmachineorbyutilisingCoordinatemeasuringmachinesoftware

    Diametervaryingwithintoleranceofsizeandform

    0.040

  • 25 HexagonMetrologyGD&T Issue1May2006

    CircularityonaTaper

    Circularitymeasurementexampletakenusingadialindicator,standandveeblock

  • 26 HexagonMetrologyGD&T Issue1May2006

    Circularitymeasurementstakenusingaroundnessmeasuringmachine

  • 27 HexagonMetrologyGD&T Issue1May2006

    Straightness

    Straightnesscanbedefinedasthemaximumallowabledeviationawayfromastraightlineoraxiswithinthetolerancezone

    Definitionoftolerancezones

    Onedirection Twodirections,differentvalues

    Onedirection,tapereddiameter

    Onedirection,cylindricalzone

    Onedirection,possibleshapesofpart

  • 28 HexagonMetrologyGD&T Issue1May2006

    Flatness

    Flatnesscanbedefinedasthemaximumallowabledeviationonasurfacewithinthetolerancezone

    Tolerancezoneacrossthreesurfaces

  • 29 HexagonMetrologyGD&T Issue1May2006

    Flatnessdefinition

    Measurementonsurfacetableusing3locationsupportsandadialindicatorandstand

  • 30 HexagonMetrologyGD&T Issue1May2006

    Cylindricity

    Cylindricitycanbedefinedasthemaximumallowabledeviationofallpointsonasurfaceofrevolutionequidistantfromacommonaxiswithintheatolerancezonedefinedbytwocylinders

    Measurementstakenusingaroundnessmeasuringmachine

    0.025Cylindricity

    0.025

    0.040

    0.040

  • 31 HexagonMetrologyGD&T Issue1May2006

    LocationTolerances

    INTHISCHAPTER

    55

    Location RegardlessofFeaturesize MaximumMaterial

    Condition(MaximumMaterialRequirement)

    Concentricity/Coaxiality Symmetry

  • 32 HexagonMetrologyGD&T Issue1May2006

    TruePositionLocationtolerancesarealsoknownastruepositionaltolerances.Eitherdefinedasacylindricalzoneorparallelepiped(Boxed/rectangular)

    Establishingdimensions

  • 33 HexagonMetrologyGD&T Issue1May2006

    RegardlessofFeatureSize(RFS)

    RegardlessofFeatureSize(RFS)Thesymbolwasusednexttothetolerance,withinthefeaturecontrolframeinapreviousANSIstandard

    Cylindricalzoneexample

    S

  • 34 HexagonMetrologyGD&T Issue1May2006

    Positionaltoleranceonanedgeataspecificangle

  • 35 HexagonMetrologyGD&T Issue1May2006

    Bidirectionalpositionaltoleranceofholes

    Cylindricaltolerancezoneonapatternofholes

  • 36 HexagonMetrologyGD&T Issue1May2006

    Positionaltoleranceonasurfaceataspecificangle

    DrawingexamplerelativetothreeDatums

  • 37 HexagonMetrologyGD&T Issue1May2006

    PositionofsurfacerelativetoDatumsAandB

    RFSCalculation

  • 38 HexagonMetrologyGD&T Issue1May2006

    Actualcentrepositionrelativetothenominalcentreposition

    Actualpositioncalculationexpressedasadiameteroutput

  • 39 HexagonMetrologyGD&T Issue1May2006

    MaximumMaterialConditionprinciple

    MaximumMaterialCondition(MMC)Aproductfeaturehasthemostamountofmaterialwithintheallowedtolerancezone Internalfeatureisthesmallestsizeallowablewithintheallowedtolerance

    zone Externalfeaturethelargestsizeallowablewithintheallowedtolerancezone.TheMMCsymbol canbepositionedwithinthetoleranceframeeithernext

    tothetoleranceoranydatumsymbol

    MaximumMaterialCondition(MMC)isabasisusedfortheassemblyofdifferentproductsforexampleapinfittingintoaholeoramanifoldfittingontostuds.

    MMCprovidesthecombinationofthesmallestholeandthelargestpin,soastofittogetherasanassembly.

    OncethishasbeenestablisheditisknownastheVirtualConditiontheworstconditionforthepinandholetoassemble.

    Atvirtualconditionthetwofeatureswouldjustfitandchangefromthiscouldresultinaneasierfitbetweenthetwofeatures.VirtualConditionisaboundarythatisgeneratedbytheeffectsofcombiningtheMMCandtheGeometricTolerance.

    Internal:MMCConditionvalueminusthegeometrictoleranceExternal:MMCconditionvalueplusthegeometrictolerance

    NoteThisisdependentonthefeaturesremainingwithintoleranceofsize.

    NoteMMCcanbeappliedtoothersymbolssuchasthefollowingStraightnessCircularityAngularity,Symmetry,Parallelism,Perpendicularity,Concentricity/CoaxialityandPosition

    M

    M

    M

  • 40 HexagonMetrologyGD&T Issue1May2006

    LeastMaterialConditionprinciple

    LeastMaterialCondition(MMC)Aproductfeaturehastheleastamountofmaterialwithintheallowedtolerancezone Internalfeatureisthelargestsizeallowablewithintheallowedtolerancezone Externalfeaturethesmallestsizeallowablewithintheallowedtolerancezone.TheLMCsymbol canbepositionedwithinthetoleranceframeeithernext

    tothetoleranceoranydatumsymbol

    L

    L

  • 41 HexagonMetrologyGD&T Issue1May2006

    MaximumMaterialConditioncalculationonanactualfeature

  • 42 HexagonMetrologyGD&T Issue1May2006

    MaximumMaterialConditioncalculationonadatumFeature

  • 43 HexagonMetrologyGD&T Issue1May2006

    MaximumMaterialConditioncalculationonboththeactualanddatumFeatures

  • 44 HexagonMetrologyGD&T Issue1May2006

    ProjectedToleranceZone wherethepositionaltoleranceisprojectedoutfromthefeaturebyaspecifiedamount(40and60inthisexample)

    P

  • 45 HexagonMetrologyGD&T Issue1May2006

    ConcentricityorCoaxiality

    ConcentricityorCoaxialityisdefinedbythesamesymbol.Allsectionalfeaturestakenaredefinedasbeingcommontothedatumaxisfeature.Asasimpleexplanationofthedifferenceconsiderthegeometricelementscircleandcylinder,thesecanbedefinedastwodimensionalandthreedimensionalfeatures.BothConcentricityandCoaxialitycanbethoughtofinthesameterms.

    Concentricity

    Coaxialityofanaxistoamultipledatumaxis

  • 46 HexagonMetrologyGD&T Issue1May2006

    CoaxialityofaxisD2toaxisD1(cylindricalzonearoundaxis)

    ConcentricityofoutsidediametercentretodatumAcentre

  • 47 HexagonMetrologyGD&T Issue1May2006

    Deviationascalculatedfromandaxistoaxis

    Measurementofconcentricityonaroundnessmeasuringmachine

  • 48 HexagonMetrologyGD&T Issue1May2006

    Measurementofcoaxialityonaroundnessmeasuringmachine

  • 49 HexagonMetrologyGD&T Issue1May2006

    Symmetry

    Symmetryalsoknownthemiddleofforequal/equalaboutthecentre.IntheexamplethetoleranceisappliedtothemedianplanecreatedbythetwoinsidesurfacesoftheslottodatumAcreatedfromthemedianplaneofthetwooutsidesurfaces

    Tolerancezoneinonedirectionappliedtothecentre(medianplane)

  • 50 HexagonMetrologyGD&T Issue1May2006

    ThetoleranceappliedtothecrossholecentrelineistothecentreofdatumaxisA

    Holeisoncentretomultipledatumaxesintwodirectionswithdifferenttolerances

  • 51 HexagonMetrologyGD&T Issue1May2006

    HoleisoncentretomedianplanecreatedfromtwosurfacesandslotisoncentretodatumaxisA

    MeasurementofslotoncentreusingDialindicator,stand,veeblocks,surfaceplateandgaugeblockinsertedintotheslot

  • 52 HexagonMetrologyGD&T Issue1May2006

  • 53 HexagonMetrologyGD&T Issue1May2006

    OrientationTolerances

    INTHISCHAPTER

    66

    Parallelism Perpendicularity Angularity

  • 54 HexagonMetrologyGD&T Issue1May2006

    Parallelism

    Parallelismcanbedefinedinmanywaysasshownbelow,whetherappliedtoanaxisorasurface

    TolerancezonedefinedbytwoparallelplanesorlinesrelativetodefineddatumfaceA

  • 55 HexagonMetrologyGD&T Issue1May2006

    TolerancezonedefinedbyacylindricaltolerancezoneelativetothedatumaxisasdefinedbydatumdiameterA

    CombiningFlatnessandParallelism

  • 56 HexagonMetrologyGD&T Issue1May2006

    Effectsofflatnesswhendealingwithparallelism

    ParallelismofasurfaceoncentrelinetoamultipledatumdefinedbyAandB(singledirection)

    ParallelismofadiametertoanaxisdefinedbyA(twotolerancesineachdirection)

    Datum

    Datum

  • 57 HexagonMetrologyGD&T Issue1May2006

    ParallelismofadiametertoanaxisdefinedbyA(cylindricaltolerancezone)

    ParallelismofanedgetoasurfacedefinedbyA(singledirection)

    ParallelismofasurfacetoadiameterdefinedbyA(singletoleranceacrosssurface)

    Datum

    Datum

    Datum

  • 58 HexagonMetrologyGD&T Issue1May2006

    ParallelismofasurfacetoasurfacedefinedbyA(singletoleranceacrosssurface)

    ParallelismofanedgetoasurfacedefinedbyA(singletoleranceacrosssurfaceandparallelismofandaxistoanaxisoftwopins(cylindricalzone)

    Datum

  • 59 HexagonMetrologyGD&T Issue1May2006

    Measurementoftheparallelismofadiameterusingadialindicator,standandsurfaceplate

    Measurementoftheparallelismofasurfaceusingadialindicator,standandsurfaceplatesupportedoftheaxisofdatumA

  • 60 HexagonMetrologyGD&T Issue1May2006

    Perpendicularity

    Perpendicularitycanbedefinedinmanywaysasshownbelow,whetherappliedtoanaxisorasurface

    Perpendicularitytoleranceappliedtoasurfaceoredgewherethefeatureistobeat90degreestodatumfaceA

    Perpendicularitytoleranceappliedtotheaxisdefinedbybothsidesoradiameter

    0.200 A

    A

    A

    0.200 A

  • 61 HexagonMetrologyGD&T Issue1May2006

    Perpendicularityofanaxistoasurfacewiththetoleranceintwodirections

    Perpendicularityofanaxistoasurfacewiththetoleranceinonedirectionsandsurfacetoasurface

    Datumaxis

    Datumsurface

    Datumaxis

    Datumsurface

  • 62 HexagonMetrologyGD&T Issue1May2006

    Perpendicularitytoleranceappliedtoanaxistoasurfacewithdifferenttolerancesintwodirections.

    Perpendicularityofanaxistoasurface(cylindricaltolerancezone)

    Datumsurface

    Datumsurface

  • 63 HexagonMetrologyGD&T Issue1May2006

    Drawingexampleofdeviation

    PerpendicularityMeasurementoftheactualsurfacewithaprecisionorcylindricalsquare

  • 64 HexagonMetrologyGD&T Issue1May2006

    PerpendicularityMeasurementoftheactualaxistothedatumsurfaceusingadialindicator,standandsurfacetable

    AnalternativemethodofmeasuringPerpendicularityisbymeansofalaserorautocollimator.CalibrationofCMMsisoftendonebythelasermethod

  • 65 HexagonMetrologyGD&T Issue1May2006

    Angularity

    Angularityisamethodofcheckingthedeviationofasurfaceoranaxisataspecifiedangle

    Angularityspecifiedasasurfacetoasurfaceorasurfacetoanaxis

  • 66 HexagonMetrologyGD&T Issue1May2006

    Measurementofangularityusingadialindicator,stand,surfaceplateandananglegauge.AnalternativemeasurementmethodistouseaSineBar

    Angularityofacentrelinetoanaxis

  • 67 HexagonMetrologyGD&T Issue1May2006

    Angularityofasurfacetoanaxis

    Angularityofasurfacetoasurface

    Measurementofangularityusingaprotractororclinometer

  • 68 HexagonMetrologyGD&T Issue1May2006

  • 69 HexagonMetrologyGD&T Issue1May2006

    Profile

    INTHISCHAPTER

    77

    Profileofaline Profileofasurface

  • 70 HexagonMetrologyGD&T Issue1May2006

    Profile

    Profiletolerancesfallintotwomaincategories

    ProfileofaLine

    Profileofasurface

    Thesetolerancesarenormallyappliedtoirregularornormaledges,surfacesor,arcs.Thetolerancecanbeappliedeithersideofthenominalprofile(Bilateral)ortooneside(unilateral)only.Theuniformboundarycanbeappliedrelativetotheprofileonlyoralternativelycanbeappliedrelativetothedatumreferencesystemaswellastheprofile.

    Toleranceofformonly

    Toleranceofformandlocation

    BilateralTolerance

    Nominalprofile

    TotalToleranceNominalprofile

    TotalTolerance

    UniLateral(InternalorExternal)

  • 71 HexagonMetrologyGD&T Issue1May2006

    Profileofalinetoleranceontheformonlyasindicated

    Profileofasurfacetoleranceontheformofthesphericalradius

  • 72 HexagonMetrologyGD&T Issue1May2006

  • 73 HexagonMetrologyGD&T Issue1May2006

    RunoutTolerances

    INTHISCHAPTER

    88

    Runout CircularRunout TotalRunout

  • 74 HexagonMetrologyGD&T Issue1May2006

    RunoutRunoutisappliedtocontrolanycircularfeaturesurfacesrotatedthrough360degrees.Thiscouldapplytoadiameterorasurfaceatanypositionacrossthatsurfaceofrevolution

    Circularrunoutisappliedthesurfacearoundthedatumaxis,includedwithinthetoleranceareanyeffectsofconcentricityandcircularity.Axialrunoutisappliedtothesurfaceadjacenttotheaxisaroundthedatumaxis,includedwithinthetolerancearetheeffectsofflatnessandPerpendicularityatthepositionwheretheresultsareobtained

  • 75 HexagonMetrologyGD&T Issue1May2006

    CircularRunoutexample

    AxialRunoutexample

  • 76 HexagonMetrologyGD&T Issue1May2006

    RunouttoleranceappliedtobothdatumAandBunabletogenerateanaxisfromdatumB

    RunoutofsurfacerotatedaroundtheaxisthroughdatumdiameterA

    RunoutoftaperedsurfacerotatedaroundtheaxisthroughdatumdiameterA

  • 77 HexagonMetrologyGD&T Issue1May2006

    RunoutofcurvedsurfacerotatedaroundtheaxisthroughmultipledatumdiametersAandB

    RunoutofoutsidediameterrotatedaroundtheaxisthroughmultipledatumdiametersAandB

  • 78 HexagonMetrologyGD&T Issue1May2006

    RunoutofthesurfacerotatedaroundthecommonaxisdatumdiametersA,wheredatumAisdefinedbylocatingthecomponentpartbetweencentres

    MeasuringRunoutusingcentresorveeblockanddialindicators

  • 79 HexagonMetrologyGD&T Issue1May2006

    MeasuringRunoutofatapereddiameterausingcentresorveeblockanddialindicators

    RunoutofadiametertoamultipledatumdefinedthroughtheaxisofdatumdiametersAandBwhereAandBareatasetdistanceasdefinedbytheboxeddimension

  • 80 HexagonMetrologyGD&T Issue1May2006

    TotalRunout

    TotalRunoutcontrolsthesurfacesaroundtheaxisof360degreesrevolution.Thedifferencefromrunoutisthatthistoleranceisappliedacrossthecompletesurfaceasonetolerance.Asacompositetolerancetotalrunoutincludestheeffectsofcircularity,Cylindricity,concentricityCoaxialityPerpendicularity,Parallelism,andFlatness

    TotalrunoutappliedtoaPlanesurfacearoundanaxisofrevolution

  • 81 HexagonMetrologyGD&T Issue1May2006

    Totalrunoutappliedtoacylinderaroundanaxisofrevolution

  • 82 HexagonMetrologyGD&T Issue1May2006

    TotalcircularRunoutofoutsidediameteralongitslengthtotheaxiscreatedthroughmultipledatumdiametersAandB

    TotalRunoutacrossthesurfacetotheaxiscreatedthroughdatumdiameterD

  • 83 HexagonMetrologyGD&T Issue1May2006

    Appendix

    INTHISCHAPTER

    99

    FurtherMMCoptions BasicSymbols References HexagonContacts

  • 84 HexagonMetrologyGD&T Issue1May2006

    MMCappliedtoStraightness

    MMCappliedtoPerpendicularity

  • 85 HexagonMetrologyGD&T Issue1May2006

    MaximumMaterialCondition(MMC)andLeastMaterialCondition(LMC)

  • 86 HexagonMetrologyGD&T Issue1May2006

    MaximumMaterialCondition(MMC)appliedtotwodiametersfloating

    Ifthetwodiametersareattheirmaximumsizethenthecentrepositioncanvaryasshownapplyinga0.1tolerancearoundeachdiameter

  • 87 HexagonMetrologyGD&T Issue1May2006

    Ifthetwodiametersareattheirminimumsizethenthecentrepositioncanvaryasshownapplyinga0.1tolerancearoundeachdiameterplusthe0.2toleranceofsize(0.1/sideoneachdiameter)

  • 88 HexagonMetrologyGD&T Issue1May2006

    BasicSymbols

    BasicDimension

    DatumReference

    FeatureControlFrame

    Form SymbolCircularity

    Straightness

    Flatness

    Cylindricity

    LocationTruePosition

    MaximumMaterialCondition

    LeastMaterialCondition

    Projectedtolerance

    OrientationParallelism

    Perpendicularity

    Angularity

    Concentricity/Coaxiality

    Symmetry

    ProfileandRunoutProfileofaline

    Profileofasurface

    Runout

    TotalRunout

    38 156

    6.2

    A

    L

    M

    P

    ReferencesMoredetailedinformationisavailablefromvariousstandardsthroughouttheworld.Asanexample

    ASMEY14.5 BS8888:2004Technical

    ProductSpecifications(TPS)

    ExamplesofISOstandardsused ISO:1101 ISO2692

  • 89 HexagonMetrologyGD&T Issue1May2006

    HexagonDetails