engineering report and need the explanation and answer to help me learn.
please see file attached do data results(answer each question) and conclusion
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Experiment#2TorsionObjectiveThepurposeofthisexperimentistoexploretherelationshitwist,andtodeterminetheshearstress?shearstrainrelatiobars.pbetweentorqueandangleofnshipforvariouslinear-elasticRelevanceofExperimentalDesignTwotestsetupsfortorsionalrigidityareavailableformanuallyappliedtorquefromatorquewrenchandmeasured.Theotherappliesaknownrotationandmeastwoisfraughtwithcomplexityassociatedwiththeelectronictorquemeasurementassystemcompliancemustberemovedtocorrectforlosttorsionshearstrains.Thispresentsacommonthemeforthestudent?sconsiderationwhereinthequalityofanymeasurementmustbequestioned.Thefirstofthetwosetupsispreferreddespiteitssimplicityduetotheresultingreliability.However,unlessspecimensareverylong,angularrotationsmaybesmallandthereforedifficulttoreadwithhighprecision.Thestudentisinvitedtoentertainothermeansofmeasuringrotationforthepurposesofreducingtheassociatederrors.Proceduresforbothmethodsarelaidoutintheinstructionssectionofthisexperiment.thestudent?sreview.Oneusingwheretheresultingrotationisuresthetorque.ThelatteroftheReportTypeWorksheet/Informalwithcoverletter(individualeffort)TheoreticalBackgroundAccordingtoelementaryelastictorsiontheory,theshearstressinabarcausedbyaninternaltorqueisgivenby:Tt=shearstressr=radiusT=twistingmomentatthesectionofthebarwheretisbeingcalculatedJ=Jr7r7dA=1,+1,y=polarmomentofinertiaAssumptionsmadeinthecalculationoftheshearstress,t,are:Thebariselastic.Planesectionsremainplaneandparallel.Radiallinesremainradial.Thelengthofthebardoesnotexperienceanychangeindimension.
Forasolidcircularbar,Intheprocessofderivingthetorsionformulafort,asecondrelationshipinvolvingtheangleoftwist(i.e.angulardeformation)evolves.Thisisgivenby:_TLg=JGangleoftwistinradianslengthconstanttwistingmomentmodulusofrigidityorshearmodulus(Hooke?sLawproportionalityconstant)ShearstressandshearstrainarelinearlyrelatedbyG:y=shearstrain_Fromtheseequationsyouwillnoticethattheshearstrainatanyradiusrisrelatedtotheangleoftwistby,_Tr|TL6)_grY=76″YEW7NOTE:Theaboveformulasarevalidonlyforasolidshaftwithacircularcross-section.
InstructionsInClassProcedures:1.Usingacaliper,measurethediameteroftheprovidedspecimenbarsatthreepointsalongitslength.2.Measurethelength,L,ofthespecimen.Alsomeasurethedistancetoeachoftheangularmeasurementgages,fromthefixedend.3.Zerotheangularscalesandnotethezero-torquereadingonthetorquewrench(i.e.ifthetorquewrenchisnotatzerowhatisitsittingat.)4.Usingthetorquewrenchapplytorquesystematically.Applyaseriesoftorquestothespecimenandmonitortheangleoftwistateachgageinsetsofthree.RecordtheAppliedTorqueandmeasuredAnglesofTwistinTable2.1.(Payattentiontotheunitsonthetorquewrench)5.Repeatstep4forasecond,third,andfourthtorquelevel.(i.e.50,100,150and200in-lb.)Table2.1:DataTablesMaterialType:
ResultsNOTE:Everythingmustbecomputergenerated!Don?tforgetunitsandlabels!1.Coverletter.2.CalculatetheexperimentalShearStrainateachposition(hintL).Showonesamplecalculationforeachspecimen._ory=**Remember¢isinradians!3.CalculatetheexperimentalShearStressateachposition.Showonesamplecalculationforeachspecimen.Trt=?J4.Foreachspecimentested,prepareaonetablelisting:Material,SpecimenLength,PositionLength,SpecimenDiameter,AppliedTorque,MeasuredAngleofTwist,experimentalShearStress,andexperimentalShearStrain.5.Foreachspecimentested,plot(usingacomputer)theexperimentalShearStress(t)(y-axis)vs.ShearStrain(y)(x-axis).Clearlyindicatetheshearmodulus,G,onyourgraphs.(Note:Plotpositionsoneandtwoonthesamegraph,usingpoints,usethetrendlinefunctiontodeterminetheshearmodulus.ThisshouldyieldONEtrendlineforALLdatapoints.)-Chooseone(1)torque(i.e.150in-Ib)andplottheaverageanasfunctionofthelength(varyingL,x-axisyouchoose.(Graphallthreespecimens0gleoftwist(y-axis))foreachspecimen.SpecifywhattorqueNsamegraph.)-Conclusion.Comparetheexperimentalshearmodulustothetheoreticalshearmodulus.Statepercentdifference/error(roundto2decimalplaces)andexplainthediscrepancy,ifany(i.e.sourcesoferror,etc…).12
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