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DESIGNANDDEVELOPMENTOFANECONOMICAL
TORSIONTESTINGMACHINEby
GlennVallee,Ph.D.,P.E.AndRobertShort
MechanicalEngineeringDepartmentWesternNewEnglandCollege聚劃算http:///ProjectObjectivesDesignandbuildatorsiontestingmachinecapableofperformingtheASTMTorsionTestMachinemustmeasurematerialpropertiestowithin5%ofpublisheddataMachinemustbeaffordableTorsionTestingApparatusExperimentallydeterminestorsionalshearpropertiesofmaterialsAcylindricaltestspecimenistwisteduntilfailureAppliedtorqueandangleoftwistarerecordedASTMStandardizedTestMethodUsed
-SpecifiesTestProcedure/SpecimenGeometryDesignConstraintsMachinemustbecapableoffracturingasteeltestspecimenSpecimendiametertobe3/8inchtoallowexaminationoffracturesurfaces
-ASTMthereforerequiresaspecimenlengthof
6inchestomeettheminlength/diameterratioTorqueandangleoftwistmeasuringdevicestobeeasilyaccessibletostudentsDesignConstraintsMachinemustproducemeasurementswithin5%ofpublishedASTMresultsBudgetallocationof$500ManyYearsofService!!!DeterminationofShearProperties
Elementarymechanicstheoryusedtorelate
appliedtorque,Ttoshearstress,τ
using
Eq.(1)whereρ=radiusofthespecimencrosssection
J=polarmomentofinertiaofcrosssection
Shearstrainγiscalculatedusing
Eq.(2)
γ
=ρθ/L
whereL=specimenlength
θ=angleoftwistDeterminationofShearPropertiesShearModulusGisdeterminedbyfindingtheslopeofthesheartress-straindiagramShearmodulusmayalsobecalculatedusingEq.(3)Design–TorqueandAngleofTwistRequirementsEquation(1)wasusedtoestimatethetorquerequiredtoyieldaC1018planecarbonsteeltestspecimenintorsion3000in-lbwouldberequiredtofailC1018materialatconstantrotationalvelocityExperimentswereperformedusingaluminumtofindrequiredangleoftwist(10revolutions)DesignLayoutDriveTrain
ADCmotorwithanintegralgearreductionandspeed
controllerwasusedAsprocketsethavinga6:1gearratiodevelopedrequired
torqueFrameDesignBaseFrame/MotorSubAssembly
Twoinchsquaresteelchannelwaswelded
togethertoformtheframeGagemountedona45°AngleTorqueGageMeasurementofTorque
Atorquegaugewasfittedtothe
fixedhubMeasurementofTorqueσ(kpsi)
(kpsi)σ2=σ1=2?
StrainGaugealignedwithdirectionofMaxPrinciple
Stress45°maxσ1σ2StateofPureShearMeasurementofAngleofTwistPotentiometerWeightWheelSprocket
Apotentiometerwasmountedtoawheel
whichcontactedtherotatinghub.ChuckAlignment
AT-slidewasusedtopreventdevelopment
ofaxialloadsandtoaidinalignmentTorqueCalibrationFabricatedTorqueWrenchGage
Aweightedleversystemwasusedtocalibrate
thetorquegaugeTorqueCalibrationCurveCompleteAssemblyPotentiometerLeadsMotorSpeedControlPowerSwitches/LEDsStrainGaugeLeadsPerformanceDataCollectionwithLabVIEWTestingof1018ColdDrawnSteelShearmodulusmeasuredas10.7Mpsi,3%lowerthanthepublishedvalueTestingof2014AluminumShearmodulusmeasuredas3.7Mpsi,5%lowerthanthepublishedvalueBudgetAnalysisItemDescriptionManufacturerMfg.#VendorVendor#QuantityCostEa.($)TotalCost($)
DCMotorDayton4Z530Grainger4Z5311258258DCSpeedControlDartControls125DV-C-KGrainger2M510177772inchSprocketUSTsubaki50B9FGrainger6L9271111112inchSprocketBrowning50Q60Grainger1L21319393Chain(10feet)USTsubaki50TW10Grainger2W09513434PotentiometerEITMW22B-10-2KNewarkInOne83H756811010DrillChuckJacobs30602McMaster3094A1721938NeonLampAssemblyRadioShack2720712RadioShack2720712144NeonLampAssemblyRadioShack2720708RadioShack2720708144DualBindingPostRadioShack2740718RadioShack2740718155
FinalCost($)534IntegrationIntotheMECurriculumTorsionmachinehasbeenintegratedintwoways
-ASTMtorsionexperimenthasbeen
includedinthejuniorlaboratorysequence
-designanduseofthetorsionmachineis
introducedinthesophomoreMechanicsof
MaterialscourseJuniorLaboratoryExperienceStudentsexaminethetorquecellandcalculateitslimitingtorsionalstrengthStudentscreatecalibrationcurvesforthetorquecellandrotationalpotentiometerSteelandaluminumspecimensaretestedofailureandtheresultsarecomparedtopublisheddataMechanicsofMaterialsCourseStudentsexaminethetorque
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