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CONTENTSSlNo1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.20.

TitleGettingStartedwithANSYS10GeneralStepsSimplySupportedBeamCantileverBeamSimplySupportedBeamwithUniformlydistributedload

Pageno03070810121416182022SHAMANTHSHDAVANGERENIETBANGALORE1

Beamwithangularloads,oneendhingedandatotherendrollersupportBeamwithmomentandoverhungSimplySupportedBeamwithUniformallyvaryingloadBarsofConstantCross-sectionAreaSteppedBarBarsofTaperedCrosssectionAreaTrussesStressanalysisofarectangularplatewithacircularholeCorneranglebracketSpannerunderplanestressThermalAnalysisModalAnalysisofCantileverbeamfornaturalFrequencydeterminationHarmonicAnalysisofCantileverbeamDynamicanalysisofbarsubjectedtoforcingfunctionLaminarFlowAnalysesina2-DDuct

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COMPUTERAIDEDMODELINGANDANALYSISLABORATORYSubjectCodeNo.ofPracticalHrsJWeekTotalNo.ofPracticalHrs.:06MEL67:03:42PART-AStudyofaFEApackageandmodelingstressanalysisofa.Barsofconstantcrosssectionarea,taperedcrosssectionareaandsteppedbar6Hoursb.Trusses-(Minimum2exercises)3Hoursc.Beams-Simplysupported,cantilever.beamswithUDL,beamswithvaryingload.etc(Minimum6exercises)12HoursPART-Ba)Stressanalysisofarectangularplatewithacircularhole3HoursSHAMANTHSHDAVANGERENIETBANGALOREb)ThermalAnalysis-2Dproblemwithconductionandconvectionboundryconditions(Minimum2exercises)6Hoursc)FluidflowAnalysis-Potentialdistributioninthe2-Dbodies3Hoursd)DynamicAnalysis1)Fixed-fixedbeamfornaturalfrequencydetermination2)Barsubjectedtoforcingfunction3)Fixed-fixedbeamsubjectedtoforcingfunction9HoursREFERENCEBOOKS:1.AfirstcourseintheFiniteelementmethodbyDarylLLogan,Thomason,ThirdEdition2.FundamentsofFEMbyHutton-McGrawHill,20043.FiniteElementAnalysisbyGeorgeR.Buchanan,SchaumSeriesSchemeforExamination:OneQuestionfromPartAOneQuestionfromPartBViva-VoceTotalIAMarks:25ExamHours:03ExamMarks:50

-

20Marks(05Writeup+15)20Marks(05Writeup+15)10Marks50Marks

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GettingStartedwithANSYS10PerformingaTypicalANSYSAnalysisTheANSYSprogramhasmanyfiniteelementanalysiscapabilities,rangingfromasimple,linear,staticanalysistoacomplex,nonlinear,transientdynamicanalysis.TheanalysisguidemanualsintheANSYSdocumentationsetdescribespecificproceduresforperforminganalysesfordifferentengineeringdisciplines.AtypicalANSYSanalysishasthreedistinctsteps:Buildthemodel.Applyloadsandobtainthesolution.Reviewtheresults.

BuildingaModelSHAMANTHSHDAVANGERENIETBANGALOREBuildingafiniteelementmodelrequiresmoreofanANSYSuser'stimethananyotherpartoftheanalysis.First,youspecifyajobnameandanalysistitle.Then,youusethePREP7preprocessortodefinetheelementtypes,elementrealconstants,materialproperties,andthemodelgeometry.SpecifyingaJobnameandAnalysisTitleThistaskisnotrequiredforananalysis,butisrecommended.DefiningtheJobnameThejobnameisanamethatidentifiestheANSYSjob.Whenyoudefineajobnameforananalysis,thejobnamebecomesthefirstpartofthenameofallfilestheanalysiscreates.(Theextensionorsuffixforthesefiles'namesisafileidentifiersuchas.DB.)Byusingajobnameforeachanalysis,youinsurethatnofilesareoverwritten.Ifyoudonotspecifyajobname,allfilesreceivethenameFILEorfile,dependingontheoperatingsystem.Command(s):/FILNAMEGUI:UtilityMenu>File>ChangeJobnameDefiningElementTypesTheANSYSelementlibrarycontainsmorethan100differentelementtypes.Eachelementtypehasauniquenumberandaprefixthatidenti

fiestheelementcategory:BEAM4,PLANE77,SOLID96,etc.Thefollowingelementcategoriesareavailable:3

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BEAMCOMBINationCONTACtFLUIDHYPERelasticINFINiteLINKMASSMATRIXPIPE

PLANESHELLSOLIDSOURCeSURFaceTARGEtUSERINTERfaceVISCOelastic(orviscoplastic)

Theelementtypedetermines,amongotherthings:Thedegree-of-freedomset(whichinturnimpliesthediscipline-structural,thermal,magnetic,electric,quadrilateral,brick,etc.)Whethertheelementliesintwo-dimensionalorthree-dimensionalspace.Forexample,BEAM4,hassixstructuraldegreesoffreedom(UX,UY,UZ,ROTX,ROTY,ROTZ),isalineelement,andcanbemodeledin3-Dspace.PLANE77hasathermaldegreeoffreedom(TEMP),isaneight-nodequadrilateralelement,andcanbemodeledonlyin2-Dspace.DefiningElementRealConstantsElementrealconstantsarepropertiesthatdependontheelementtype,suchascross-sectionalpropertiesofabeamelement.Forexample,realconstantsforBEAM3,the2-Dbeamelement,arearea(AREA),momentofinertia(IZZ),height(HEIGHT),sheardeflectionconstant(SHEARZ),initialstrain(ISTRN),andaddedmassperunitlength(ADDMAS).Notallelementtypesrequirerealconstants,anddifferentelementsofthesametypemayhavedifferentrealconstantvalues.Aswithelementtypes,eachsetofrealconstantshasareferencenumber,andthetableofreferencenumberversusrealconstantsetiscalledtherealconstanttable.Whiledefiningtheelements,youpointtotheappropriaterealconstantreferencenumberusingtheREALcommand(MainMenu>Preprocessor>Create>Elements>ElemAttributes).DefiningMaterialPropertiesMostelementtypesrequirematerialproperties.Dependingontheapplication,materialpropertiesmaybe:Linearornonlinear

Isotropic,orthotropic,oranisotropicConstanttemperatureortemperature-dependent.

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Aswithelementtypesandrealconstants,eachsetofmaterialpropertieshasamaterialreferencenumber.Thetableofmaterialreferencenumbersversusmaterialpropertysetsiscalledthematerialtable.Withinoneanalysis,youmayhavemultiplematerialpropertysets(tocorrespondwithmultiplematerialsusedinthemodel).ANSYSidentifieseachsetwithauniquereferencenumber.MainMenu>Preprocessor>MaterialProps>MaterialModels.CreatingtheModelGeometryOnceyouhavedefinedmaterialproperties,thenextstepinananalysisisgeneratingafiniteelementmodel-nodesandelements-thatadequatelydescribesthemodelgeometry.Therearetwomethodstocreatethefiniteelementmodel:solidmodelinganddirectgeneration.Withsolidmodeling,youdescribethegeometricshapeofyourmodel,theninstructtheANSYSprogramtoautomaticallymeshthegeometrywithnodesandelements.Youcancontrolthesizeandshapeoftheelementsthattheprogramcreates.Withdirectgeneration,you"manually"definethelocationofeachnodeandtheconnectivityofeachelement.Severalconvenienceoperations,suchascopyingpatternsofexistingnodesandelements,symmetryreflection,etc.areavailable.ApplyLoadsandObtaintheSolutionInthisstep,youusetheSOLUTIONprocessortodefinetheanalysistypeandanalysisoptions,applyloads,specifyloadstepoptions,andinitiatethefiniteelementsolution.YoualsocanapplyloadsusingthePREP7preprocessor.ApplyingLoadsThewordloadsasusedinthismanualincludesboundaryconditions(constraints,supports,orboundaryfieldspecifications)aswellasotherexternallyandinternallyappliedloads.LoadsintheANSYSprogramaredividedintosixcategories:DOFConstraintsForcesSurfaceLoadsBodyLoadsInertiaLoadsCoupled-fieldLoadsYoucanapplymostoftheseloadseitheronthesolidmodel(keypoints,lines,andareas

)orthefiniteelementmodel(nodesandelements).Twoimportantload-relatedtermsyouneedtoknowareloadstepandsubstep.Aloadstepissimplyaconfigurationofloadsforwhichyouobtainasolution.Inastructuralanalysis,forexample,youmayapplywindloadsinoneloadstepandgravityinasecondloadstep.Loadstepsarealsousefulindividingatransientloadhistorycurveintoseveralsegments.5

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Substepsareincrementalstepstakenwithinaloadstep.Youusethemmainlyforaccuracyandconvergencepurposesintransientandnonlinearanalyses.Substepsarealsoknownastimestepsstepstakenoveraperiodoftime.InitiatingtheSolutionToinitiatesolutioncalculations,useeitherofthefollowing:Command(s):SOLVEGUI:MainMenu>Solution>CurrentLS

Whenyouissuethiscommand,theANSYSprogramtakesmodelandloadinginformationfromthedatabaseandcalculatestheresults.Resultsarewrittentotheresultsfile(Jobname.RST,Jobname.RTH,Jobname.RMG,orJobname.RFL)andalsotothedatabase.Theonlydifferenceisthatonlyonesetofresultscanresideinthedatabaseatonetime,whileyoucanwriteallsetsofresults(forallsubsteps)totheresultsfile.ReviewtheResultsOncethesolutionhasbeencalculated,youcanusetheANSYSpostprocessorstoreviewtheresults.SHAMANTHSHDAVANGERENIETBANGALORE6

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GeneralStepsStep1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokFilechngejobnameenternewjobnamexxxxokFilechangetitleenternewtitleyStep2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeselecttypeofelementfromthetableandtherequiredoptionsRealconstantsgivethedetailssuchasthickness,areas,momentofinertia,etc.requireddependingonthenatureoftheproblem.MaterialPropertiesgivethedetailssuchasYoung'smodulus,Poisson'sratioetc.dependingonthenatureoftheproblem.Step4:Modelingcreatetherequiredgeometrysuchasnodeselements,area,volumebyusingtheappropriateoptions.Step5:GenerateElements/nodesusingMeshToolifnecessary(in2Dand3Dproblems)Step6:Applyboundaryconditions/loadssuchasDOFconstraints,Force/Momentum,Pressureetc.Step7:SolutionSolvetheproblemStep8:GeneralPostProcessorplot/listtherequiredresults.Step9:Plotctrlsanimatedeformedshapedef+undeformed-okStep10:tosavethesolutionansystoolbar-save,,,,model

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PARTABEAMS1.SimplySupportedBeamComputetheShearforceandbendingmomentdiagramsforthebeamshownandfindthemaximumdeflection.Assumerectangularc/sareaof0.2m*0.3m,Young'smodulusof210GPa,Poisson'sratio0.27.

20kN

2m4m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delastic3ok-close.RealconstantsArealconstantsetno1c/sarea0.2*0.3momentofinertia0.2*0.3**3/12toeamheight0.3ok.MaterialPropertiesmaterialmodelsStructuralLinearElIsotropicEX210e9PRXY0.27okclose.Step4:PreprocessorModelingCesInActiveCSApply(firstnodeiscreated)x,y,zlocationinCS2(xvaluewr.tfirstnode)apply(secondnodeiscreated)4(xvaluew.r.tfirstnode)ok(thirdnodeiscreated).CreateElementsAutonumberedThruNodespick1&2appypick2&3ok(elementsarecreatedthroughnodes).SHAMANTHSHDAVANGERENIETBANGALORE

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Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodepicknode1&3applyDOFstobeconstrainedUYok.LoadsDefineloadsapplucturalForce/MomentonNodes-picknode2applydirectionofFor/MomFYFoomentvalue-20000(-vevalue)ok.Step6:SolutionSolvecurrentLSok(Solutinisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotResultsContourplotNodalsoluDOFsolutioisplacementvectorsumok.ElementtableDefinetableAddResultsdataitem'uencenumSMISCSMISC,2apply,BySequencenumSMISCSMISC,8apply,BySeenumSMISCSMISC,6apply,BySequencenumSMISCSMISC,12okclose.NOTShearForceDiagramusethecombinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.Step8:GeneralPostProcessorPlotresultscontourplotLineElementResultsElemtableitematnodeISMIS2EtableitematnodeJSMIS8ok(Shearforcediagramwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemteitematnodeJSMIS12ok(bendingmomentdiagramwillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbeisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedresultsDOFsolutionUSUMok.ASSIGNMENT10kN30kN

2m10m

5m

3m

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2.CantileverBeamComputetheShearforceandbendingmomentdiagramsforthebeamshownandfindthemaximumdeflection.Assumerectangularc/sareaof0.2m*0.3m,Young'smodulusof210GPa,Poisson'sratio0.27.10kN

5m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delastic3ok-close.RealconstantsArealconstantsetno1c/sarea0.2*0.3momentofinertia0.2*0.3**3/12toeamheight0.3ok.MaterialPropertiesmaterialmodelsStructuralLinearElIsotropicEX210e9PRXY0.27okclose.Step4:PreprocessorModelingCrsInActiveCSApply(firstnodeiscreated)x,y,zlocationinCS5(xvaluew.tfirstnode)ok(secondnodeiscreated).CreateElementsAutonumberedThruodespick1&2ok(elementsarecreatedthroughnodes).Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodes-picknode1applytobeconstrainedALLDOFok.LoadsDefineloadsapplyStructuralForce/MomnNodes-picknode2applydirectionofFor/MomFYForce/Momentvalue--10000-vevalue)ok.SHAMANTHSHDAVANGERENIETBANGALORE

Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.10

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Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotResultsContourplotNodalsoluDOFsolutiondisplacementvectorsumok.EenttableDefinetableAddResultsdataitem'BySequencenumSMISCSMISCBySequencenumSMISCSMISC,8apply,BySequencenumSMISCSMISC,6applySequencenumSMISCSMISC,12okclose.NOTE:ForShearForceDiagramusethecobinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.Step8:GeneralPostProcessorPlotresultscontourplotLineElementResultsElemtableitematnodeISMIS2ElemtableitematnodeJSMIS8(Shearforcediagramwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemtableitematnodeJSMIS12okdingmomentdiagramwillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedresultsDOFsolutionUSUMok.SHAMANTHSHDAVANGERENIETBANGALORE11

ASSIGNMENT

20kN

20kN

10kN

1m

1m3.5m

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3.SimplySupportedBeamwithUniformallydistributedload.ComputetheShearforceandbendingmomentdiagramsforthebeamshownandfindthemaximumdeflection.Assumerectangularc/sareaof0.2m*0.3m,Young'smodulusof210GPa,Poisson'sratio0.27.12kN/m(UDL)

4m6mStep1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokys.Step2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delastic3ok-close.RealconstanAddokrealconstantsetno1c/sarea0.2*0.3momentofinertia0.2*0.3**3otalbeamheight0.3ok.MaterialPropertiesmaterialmodelsStructuralLinealasticIsotropicEX210e9PRXY0.27okclose.Step4:PreprocessorModelineNodesInActiveCSApply(firstnodeiscreated)x,y,zlocationinCS4(xuew.r.tfirstnode)apply(secondnodeiscreated)6(xvaluew.r.tfirstnode)ok(thirdnodeiscreated).CreateNodesFillbetweenNdspick1&2applyerofnodestofill7startingnodeno4ok.CreateElementsAutonumberedNodespick1&4applypick4&5applypick5&6applypick6&7applypick7applypick8&9applypick9&10applypick10&2applypick2&3ok(elemsarecreatedthroughnodes).SHAMANTHSHDAVANGERENIETBANGALORE

Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodepicknode1&3applyDOFstobeconstrainedUYok.12

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LoadsDefineloadsapplyStructuralPressureonBeamspickallelementsbetnodes1&2applypressurevalueatnodeI12000pressurevalueatnodeJ120ok.Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotResultsContourplotNodalsoluDOFsolutiondisplacementvectorsumok.EenttableDefinetableAddResultsdataitem'BySequencenumSMISCSMISCBySequencenumSMISCSMISC,8apply,BySequencenumSMISCSMISC,6applySequencenumSMISCSMISC,12okclose.NOTE:ForShearForceDiagramusethecobinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.Step8:GeneralPostProcessorPlotresultscontourplotLineElementResultsElemtableitematnodeISMIS2ElemtableitematnodeJSMIS8(Shearforcediagramwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemtableitematnodeJSMIS12okdingmomentdiagramwillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedresultsDOFsolutionUSUMok.

ASSIGNMENT

30kN

20kN

10kN/m(UDL)

2m

2m8m

4m

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4.Beamwithangularloads,oneendhingedandattheotherendrollersupport.ComputetheShearforceandbendingmomentdiagramsforthebeamshownandfindthemaximumdeflection.Assumerectangularc/sareaof0.2m*0.3m,Young'smodulusof210GPa,Poisson'sratio0.27.100N6001mStep1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Step2:AnsysMainMenuPreferesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddEAM2Delastic3okclose.0.2*0.3**3/12totalbeamheight0.3ok.MaterialertiesmaterialmodelsStructuralLinearElasticIsotropicEX210e9PRXclose.Step4:PreprocessorModelingCreateNodesInActiveCSApply(firstnodiscreated)x,y,zlocationinCS1(xvaluew.r.tfirstnode)apply(secondnodeiscreated)2(xvaluew.r.tfirstnode)apply(thirdnodeiscreated)3(xvaluew.r.tfirstnode)apply(forthnodeiscreated)4(xvaluew.r.tfirstnode)ok(fifthnodeiscreated).CreateElementsAutonumberedThruNodespick1applypick2&3applypick3&4applypick4&5ok(elementsarecreaoughnodes).CreateNodesRotatenodesCSbyanglespicknode2applyaboutlz-axis60applypicknode3applyaboutnodalz-axis45applypicknodlyaboutnodalzaxis30ok.Step5:PreprocessorLoadsDefineloadsapplyturalDisplacementonNodes-picknode1applyDOFstobeconstrainedUX&UYplypicknode5applyDOFstobeconstrainedUYok.14

200N4503001m

300N

1m

1m

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RealconstantsAddokrealconstantsetno1c/sarea0.2*0.3momentofine

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LoadsDefineloadsapplyStructuralForce/MomentonNodes-picknode2applectionofFor/MomFXForce/Momentvalue--100(-vevalue)applypicknode3lydirectionofFor/MomFXForce/Momentvalue--200(-vevalue)applypickn4applydirectionofFor/MomFXForce/Momentvalue--300(-vevalue)ok.St6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotResultsContourplotNodalsoluDOFsolutiondisplacementvectorsumok.ElementtaDefinetableAddResultsdataitem'BySequencenumSMISCSMISC,2appncenumSMISCSMISC,8apply,BySequencenumSMISCSMISC,6apply,BySequnumSMISCSMISC,12okclose.NOTE:ForShearForceDiagramusethecombinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.Step8:GeneralPostProcessorPlotresultscontourplotLineElementResultsElemtableitematnodeISMIS2ElemtableitematnodeJSMIS8ok(Shearrcediagramwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemtableitematnodeJSMIS12ok(bendingmomntdiagramwillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayewiththenodenumbers).Step9:PlotCtrlsAnimateDeformedresultsDOFsolutionUSUMok.ASSIGNMENT200N4501m1m300N6001m150N3001m

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5.BeamwithmomentandoverhungComputetheShearforceandbendingmomentdiagramsforthebeamshownandfindthemaximumdeflection.Assumerectangularc/sareaof0.2m*0.3m,Young'smodulusof210GPa,Poisson'sratio0.27.6kN6kN

12kN-m

2m

2m

2m

1m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okSHAMANTHSHDAVANGERENIETBANGALOREStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delasic3okclose.RealconstantsAddokrealconstantsetno1c/sarea0entofinertia0.2*0.3**3/12totalbeamheight0.3ok.MaterialPropertiesmaialmodelsStructuralLinearElasticIsotropicEX210e9PRXY0.27ok4:PreprocessorModelingCreateNodesInActiveCSApply(firstnodeiscreatedx,y,zlocationinCS2(xvaluew.r.tfirstnode)apply(secondnodeiscreated)4(xvaluew.r.tfirstnode)apply(thirdnodeiscreated)6(xvaluew.r.tfirstnode)apply(forthnodeiscreated)7(xvaluew.r.tfirstnode)ok(fifthn

odeiscreated).CreateElementsAutonumberedThruNodespick1&2apply2&3applypick3&4applypick4&5ok(elementsarecreatedthroughnodeStep5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodpicknode1&4applyDOFstobeconstrainedUYok.LoadsDefineloadsappructuralForce/MomentonNodes-picknode2applydirectionofFor/MomMZFMomentvalue-12000(anticlockwise,+vevalue)apply16

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picknode3applydirectionofFor/MomFYForce/Momentvalue--6000(-vevalueapplypicknode5applydirectionofFor/MomFYForce/Momentvalue--6000value)ok.Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotResultsContourplotNodalsoluDOFsolutiondisplacementvectorsok.ElementtableDefinetableAddResultsdataitem'BySequencenumSMISC2apply,BySequencenumSMISCSMISC,8apply,BySequencenumSMISCSMISC,ply,BySequencenumSMISCSMISC,12okclose.NOTE:ForShearForceDiagramusthecombinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.Step8:GeneralPostProcessorPlotresultscontourplotLineElementResultsElemtableitematnodeISMIS2ElemtableitematnodeJMIS8ok(Shearforcediagramwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemtableitematnodeJSMIS1ok(bendingmomentdiagramwillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedresultsDOFsolutionUSUMok.ASSIGNMENT

40kN20kN/m120kN-m

3m

1.5m

1.5m

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6.SimplySupportedBeamwithUniformallyvaryingload.ComputetheShearforceandbendingmomentdiagramsforthebeamshownandfindthemaximumdeflection.Assumerectangularc/sareaof0.2m*0.3m,Young'smodulusof210GPa,Poisson'sratio0.27.40kN/m80kN

3m

1.5m

1.5m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delastic3okclose.Realconstantsrealconstantsetno1c/sarea0.2*0.3momentofinertia0.2*0.3**3/12totalamheight0.3ok.MaterialPropertiesmaterialmodelsStructuralLinearElaIsotropicEX210e9PRXY0.27okclose.Step4:PreprocessorModelingCreatInActiveCSApply(firstnodeiscreated)x,y,zlocationinCS3(xvaluew.rtfirstnode)apply(secondnodeiscreated)4.5(xvaluew.r.tfirstnode)apply(thirdnodeiscreated)6(xvaluew.r.tfirstnode)ok(forthnodeiscreated).CreateElementsAutonumberedThruNodespick1&2applypick2&3ack3&4ok(elementsarecreatedthroughnodes).Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodes-picknode1&4applyDOFbeconstrainedUYok.LoadsDefineloadsapplyStructuralPressureonBea

elementbetweennodes1&2applypressurevalueatnodeI0(value)pressurealueatnodeJ40000ok.18

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LoadsDefineloadsapplyStructuralForce/MomentonNodes-picknode3applectionofFor/MomFYForce/Momentvalue--80000(-vevalue)ok.Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotResultsContourplotNodalsoluDOFsolutiondisplacementvectorsumok.ElementtableDefinebleAddResultsdataitem'BySequencenumSMISCSMISC,2apply,BySequeISCSMISC,8apply,BySequencenumSMISCSMISC,6apply,BySequencenumSSMISC,12okclose.NOTE:ForShearForceDiagramusethecombinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.Step8:GeneralPostProcessorPlotresultscontourplotLineElementResultsElemtableitematnodeISMIS2ElemtableitematnodeJSMIS8ok(Shearforcediagrmwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemtableitematnodeJSMIS12ok(bendingmomentdiagrawillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedresultsDOFsolutionUSUMoASSIGNMENT

5kN/m10kN5kN/m50kN-m

1m

1m

1m

1m

1m

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BarsofConstantCross-sectionAreaConsiderthebarshowninfigurebelow.DeterminetheNodalDisplacement,Stressineachelement,Reactionforces.E=2.1x105N/mm2

1500NDia=50mm300mm

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorRealconstantsAddokrealconstantsetno1c/sarea22/7*50**2/4ok.MaterpertiesmaterialmodelsStructuralLinearElasticIsotropicEX2.1e5PRkclose.Step4:PreprocessorModelingCreateNodesInActiveCSApply(firstdeiscreated)x,y,zlocationinCS300(xvaluew.r.tfirstnode)ok(secondnodeiscreated).CreateElementsAutonumberedThruNodespick1&2ok(elemearecreatedthroughnodes).Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodes-picknode1applyDOFstobeconstrainedAllDOF.LoadsDefineloadsapplyStructuralForce/MomentonNodes-picknode2apirectionofFor/MomFXForce/Momentvalue1500(+vevalue)ok.Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.SHAMANTHSHDAVANGERENIETBANGALOREElementtypeAdd/Edit/DeleteAddLink2Dspar1okclose.

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Step7:GeneralPostProcessorElementtableDefinetableAddResultsdataitem'SequencenumLSLS1ok.Step8:GeneralPostProcessorPlotResultsDeformedSapedef+undeformedok.PlotresultscontourplotLineElementResultsElemtaitematnodeILS1ElemtableitematnodeJLS1ok(LineStressdiagramwilledisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(ractionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedshapedef+undeformed-ok

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SteppedBarsConsiderthesteppedbarshowninfigurebelow.DeterminetheNodalDisplacement,Stressineachelement,Reactionforces.

E=2x105N/mm2A=900mm2600mm

E=0.7x105N/mm2A=600mm2500mm

500N

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddLink2Dspar1okclose.RealconstantsAddlconstantsetno1c/sarea900applyrealconstantsetno2c/sareaose.MaterialPropertiesmaterialmodelsStructuralLinearElasticIsotropic2e5ok,MaterialNewmodelDefinematerialID2okStructuralLineartropicEX0.7e5okclose.Step4:PreprocessorModelingCreateNodesInASApply(firstnodeiscreated)x,y,zlocationinCS600(xvaluew.r.tfirstnode)apply(secondnodeiscreated)x,y,zlocationinCS1100(xvaluew.r.tfirstnode)ok(thirdnodeiscreated).CreateElementsElemAttributesMaterialnuber1Realconstantsetnumber1okAutonumberedThruNodespick1&2oentsarecreatedthroughnodes).CreateElementsElemAttributesMaterialnumber2Realconstantsetnumber2okAutonumberedThruNodespick2&3oksarecreatedthroughnodes).Step5:PreprocessorLoadsDefineloadsapplyStru

cturalDisplacementonNodes-picknode1applyDOFstobeconstrainedAllDOk.22

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LoadsDefineloadsapplyStructuralForce/MomentonNodes-picknode3applectionofFor/MomFXForce/Momentvalue500(+vevalue)ok.Step6:SolutionSovecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorElementtableDefinetableAddResultsdataitem'BySequencenumLSStep8:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotresultscontourplotLineElementResultsElemtableitematnodeILS1EtableitematnodeJLS1ok(LineStressdiagramwillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforceswillbedsplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedshapedef+undeformed-okSHAMANTHSHDAVANGERENIETBANGALORE23

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BarsofTaperedCrosssectionAreaConsidertheTaperedbarshowninfigurebelow.DeterminetheNodalDisplacement,Stressineachelement,Reactionforces.

1N

100mmE=2x105N/mm2,Areaatroot=20x20=400mm2,Areaattheend=20x10=200mm2.Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Step2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3PreprocessorElementtypeAdd/Edit/DeleteAddBEAMtapered54ok-close.ReaonstantsAddokrealconstantsetno1cross-sectionalAREA1400momentoiaaboutZIZ120*20**3/12cross-sectionalAREA2200ok.MaterialPropertieserialmodelsStructuralLinearElasticIsotropicEX2e5PRXY0.27ok4:PreprocessorModelingCreateNodesInActiveCSApply(firstnodeiscreate)x,y,zlocationinCS100(xvaluew.r.tfirstnode)ok(secondnodeiscreated).CreateElementsAutonumberedThruNodespick1&2ok(elementsarecreatthroughnodes).Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplaementonNodes-picknode1applyDOFstobeconstrainedALLDOFok.LoadseloadsapplyStructuralForce/MomentonNodes-picknode2applydirectionor/MomFXForce/Momentvalue1(+vevalue)ok.SHAMANTHSHDAVANGERENIETBANGAORE

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Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorElementtableDefinetableAddResultsdataitem'BuencenumSMISCSMISC,2apply,BySequencenumSMISCSMISC,8apply,BySeenumSMISCSMISC,6apply,BySequencenumSMISCSMISC,12okclose.ElebledefinetableaddResultsdataitem'BySequencenumNMISCNMISC,1asdataitem'BySequencenumNMISCNMISC,3ok.Step8:GeneralPostProcessortResultsDeformedShapedef+undeformedok.PlotresultscontourplotLineElntResultsElemtableitematnodeISMIS2ElemtableitematnodeJSMIS8okhearforcediagramwillbedisplayed).PlotresultscontourplotLineElementResultsElemtableitematnodeISMIS6ElemtableitematnodeJSMIS12ok(bengmomentdiagramwillbedisplayed).NOTE:ForShearForceDiagramusethecombinationSMISC2&SMISC8,forBendingMomentDiagramusethecombinationSMISC6&SMISC12.ForMaximumStressdiagramusethecombinationNMISC1&NMISC3.PlotresultscontourplotLineElementResultsElemtableitematnodeINMIS1lemtableitematnodeJNMIS3ok(themaximumstressvaluewillbedisplayed).ListResultsreactionsolutionitemstobelistedAllitemsok(reactionforcesillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedshapedef+undeformed-ok.SHAMANTHSHDAVANGERENIETBANGALORE

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TRUSSESProb.1.Considerthefourbartrussshowninfigure.Forthegivendata,findStressineachelement,Reactionforces,Nodaldisplacement.E=210GPa,A=0.1m2.2500N

4

3

2

3m

12000N4m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddLink2Dspar1okclose.RealconstantsAddlconstantsetno1c/sarea0.1okclose.MaterialPropertiesmaterialmodtructuralLinearElasticIsotropicEX210e9okclose.Step4:PreprocessoingCreateNodesInActiveCSApply(firstnodeiscreated)x,y,zlocationin4(xvaluew.r.tfirstnode)apply(secondnodeiscreated)x,y,zlocationinCS4,3(x,yvaluew.r.tfirstnode)apply(thirdnodeiscreated)0,3(x,yvaluew.r.tfirstnode)ok(forthnodeiscreated).CreateElementsElemAttribute

sMaterialnumber1Realconstantsetnumber1okAutonumberedThruNodes1&2applypick2&3applypick3&1applypick3&4ok(elementsaredthroughnodes).SHAMANTHSHDAVANGERENIETBANGALORE

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Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodeicknode1&4applyDOFstobeconstrainedAllDOFokonNodespicknode2yDOFstobeconstrainedUYok.LoadsDefineloadsapplyStructuralForceonNodes-picknode2applydirectionofFor/MomFXForce/Momentvalue200evalue)okStructuralForce/MomentonNodes-picknode3applydirectiono/MomFYForce/Momentvalue-2500(-vevalue)ok.Step6:SolutionSolvecurreLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorElementtableDefinetableAddResultsdataitem'BySequencenumLSLS1okneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotresultscontourplotLineElementResultsElemtableitematnodeILS1ElemtableiatnodeJLS1ok(LineStressdiagramwillbedisplayed).PlotresultscontourplotNodalsolutionDOFsolutiondisplacementvectorsumok.ListResultsreaonsolutionitemstobelistedAllitemsok(reactionforceswillbedisplayedwiththenodenumbers).ListResultsNodalloadsitemstobelistedAllitemsok(Nodalloadswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedshapedef+undeformed-ok

ASSIGNMENTDeterminethenodaldeflections,reactionforces,andstressforthetrusssystemshownbelow(E=200GPa,A=3250mm2).

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Prob.2.Forthegivendata,findinternalstressesdeveloped,Nodaldisplacementintheplanartrussshowninfigurewhenaverticallydownwardloadof10000Nisappliedasshown.C/sareaEMember2mmN/mm2120022002x1053100410010000N

35004100050012

1000Step1:AnsysUtilityMenu

1000

Fileclearandstartnewdonotreadfileokyes.Step2:AnsysMainMenuPreencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddLink2Dspar1okclose.RealconstantsAddokrealconstantsetnoa200applyrealconstantsetno2c/sarea100okclose.MaterialPropterialmodelsStructuralLinearElasticIsotropicEX2e5PRXY0.27okp4:PreprocessorModelingCreateNodesInActiveCSApply(firstnodeiscreatd)x,y,zlocationinCS1000(xvaluew.r.tfirstnode)apply(secondnodeiscreated)500,500(x,yvaluew.r.tfirstnode)apply(thirdnodeiscreated)2000,1000(x,yvaluew.r.tfirstnode)ok(forthnodeiscreated).

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CreateElementsElemAttributesMaterialnumber1RealconstantsetnumberAutonumberedThruNodespick1&3applypick2&3okElemAttributesMnumber1Realconstantsetnumber2okAutonumberedThruNodespick3&ypick2&4ok(elementsarecreatedthroughnodes).Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodespicknode1&2appltobeconstrainedAllDOFok.LoadsDefineloadsapplyStructuralForce/MomnNodes-picknode4applydirectionofFor/MomFYForce/Momentvalue-10000evalue)ok.Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorElementtableDefinetableAddResultstaitem'BySequencenumLSLS1ok.Step8:GeneralPostProcessorPlotResultsformedShapedef+undeformedok.PlotresultscontourplotLineElementResultslemtableitematnodeILS1ElemtableitematnodeJLS1ok(LineStressdiagamwillbedisplayed).PlotresultscontourplotNodalsolutionDOFsolutiondiplacementvectorsumok.ListResultsreactionsolutionitemstobelistedAlltemsok(reactionforceswillbedisplayedwiththenodenumbers).Step9:PlotCtrlsAnimateDeformedshapedef+undeformed-okASSIGNMENTNote:Cross-sectionalareaoftrussmembers=3.0E-4m2;ModulusofElasticity=2.07E11N/m2.Circlednumbersshownarenodenumbers.67

8

3m

12

3

4

5

F=125N

F=100N

3m

3m

3m

3m

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PARTBStressanalysisofarectangularplatewithacircularhole****For2Dand3Dproblems,afterthegeometryhasbeencreatedmeshingistobedone(elements/nodesarecreated)****Problem1.Intheplatewithaholeunderplanestress,finddeformedshapeoftheholeanddeterminethemaximumstressdistributionalondA-B(youmayuset=1mm).E=210GPa,t=1mm,Poisson'sratio=0.3,Diaofthecircle=10mm,Analysisassumptionplanestresswiththicknessisused.60mmA

2000N

40mm

B

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddSolidQuad4node42okoptionelementbePlanestresswiththicknessokclose.RealconstantsAddokrealconstanto1Thickness1ok.MaterialPropertiesmaterialmodelsStructuralLinearcIsotropicEX2.1e5PRXY0.3okclose.

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Step4:PreprocessorModelingCreateAreaRectanglebydimensionsX1,X2,Y1,0,60,0,40ok.CreateAreaCirclesolidcircleX,Y,radius30,20,5rateBooleansSubtractAreaspickareawhichisnottobedeleted(rectangle)plypickareawhichistobedeleted(circle)ok.MeshingMeshToolMeshAreasuadFreeMeshpickallok.MeshToolRefinepickallLevelofrefinementtep5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonNodeslectboxdragtheleftsideoftheareaapplyDOFstobeconstrainedALLDOFLoadsDefineloadsapplyStructuralForce/MomentonNodesselectboxdraightsideoftheareaapplydirectionofFor/MomFXForce/Momentvalue2000value)ok.Step6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotresultscontourplotElementsoluStressVonMisesStressok(thessdistributiondiagramwillbedisplayed).Step8:PlotCtrlsAnimateDeformedshapedef+undeformed-ok

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Problem2.Thecorneranglebracketisshownbelow.Theupperlefthandpin-holeisconstrainedarounditsentirecircumferenceandataperedpressureloadisappliedtothebottomoflowerrighthandpin-hole.ComputeMaximumdisplacement,Von-Misesstress.AllDOFconstrained6in

2in

R0.4inR1inE=30x106psi,Poisson'sratio=0.27,t=0.5in,Pressureloadfrom50to500lbR0.44in

R0.4inTaperedloadfrom50to500lb

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddSolidQuad8node82okoptionelementbePlanestresswiththicknessokclose.RealconstantsAddokrealconstanto1Thickness0.5ok.MaterialPropertiesmaterialmodelsStructuralLineticIsotropicEX30e6PRXY0.27okclose.

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Step4:PreprocessorModelingCreateAreaRectanglebydimensionsX1,X2,Y1,0,6,0,2applyCreateAreaRectanglebydimensionsX1,X2,Y1,Y24,ok.CreateAreaCirclesolidcircleX,Y,radius0,1,1applyX,Y,r-2,1ok.OperateBooleansAddAreaspickall.CreateLinesLinefillettwolineswherefilletisrequiredapplyfilletradius0.4ok.CreateAreasitrarybylinespickfilletedlinesok.OperateBooleansAddAreaspickaateAreaCirclesolidcircleX,Y,radius0,1,0.4applyX,Y,radius4ok.OperateBooleansSubtractAreaspickareawhichisnottobedeleted(bket)applypickareaswhichistobedeleted(picktwocircles)ok.MeshingMesToolMeshAreasQuadFreeMeshpickallok.MeshToolRefinepickallrefinement3ok.Step5:PreprocessorLoadsDefineloadsapplyStructuralDcementonLinesselecttheinnerlinesoftheuppercircleapplyDOFstobecontrainedALLDOFok.LoadsDefineloadsapplyStructuralPressureonLinesinedefiningbottomleftpartofthecircleapplyloadPRESvalue50optionalPESvalue500ok.StructuralPressureonLinesPicklinedefiningbottomrightrtofthecircleapplyloadPRESvalue500optionalPRESvalue50ok.SteplutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotresultscotourplotElementsoluStressVonMisesStressok(thestressdistributiondiagamwillbedisplayed).Step8:PlotCtrlsAnimateDeformedshapedef+undeformed-ok

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Problem3.IntheSpannerunderplanestress,finddeformedshapeanddeterminethemaximumstressdistribution.E=2x105N/mm2,t=3mm,Poisson'sratio=0.27,Analysisassumptionplanestresswiththicknessisused.R15mm55mm15mm200N

13mm

120mm18mmStep1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Step2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PrprocessorElementtypeAdd/Edit/DeleteAddSolidQuad8node82okoptiontbehaviorK3Planestresswiththicknessokclose.RealconstantsAddokronstantsetno1Thickness3ok.MaterialPropertiesmaterialmodelsStructLinearElasticIsotropicEX2e5PRXY0.27okclose.Step4:PreprocessogCreateAreasRectanglebydimensionsX1,X2,Y1,Y20,120,0,13ok.CreasCirclesolidcircleX,Y,radius130,6.5,15ok.OperateBooleansAsPickallok.CreateAreasRectangleBy2CornersX,Y,Width,Height,12525,-15ok.OperateBooleansSubtractAreaspickareawhichisnottobedeld(Spannerbody)applypickareawhichistobedeleted(Rectangle)ok.AnsysUtilityMenuWorkPlaneOffsetWPbyIncrementsX,Y,Zoffsets55,0,0DegreesXZX0,0,90ok.OperateBooleansDivideAreasbyWorkplanepicktheareaokngMeshToolMeshAreasQuadFreeMeshpickallok.MeshToolRefinevelofrefinement3ok.SHAMANTHSHDAVANGERENIETBANGALORE

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Step5:PreprocessorLoadsDefineloadsapplyStructuralDisplacementonAreaelecttheSpannerendapplyDOFstobeconstrainedALLDOFok.AnsysUtilityMeuSelectEntitiesLinesbyNum/PickSelectallapply(selectthelinewhereisappliedokNodesAttachedtolines,allselectallok.Plotnodes(onsattachedtothelineswillbedisplayed).PreprocessorLoadsDefineloadsapplyStructuralForce/MomentonNodesselectboxdragallthenodes(notethenonodes)applydirectionofFor/MomFYForce/Momentvalue-200/noofnodesokp6:SolutionSolvecurrentLSok(Solutionisdoneisdisplayed)close.Step7:GeneralPostProcessorPlotResultsDeformedShapedef+undeformedok.PlotresultscontourplotElementsoluStressVonMisesStressok(thestressdistribundiagramwillbedisplayed).SHAMANTHSHDAVANGERENIETBANGALORE35

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ASSIGNMENTS

25

2510mm

25

60mm1000N

100mm

4020

20

R10

100

4020

20

60mm

10

1000N

100mm

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1000N

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THERMALANALYSISProblem1.Solvethe2-Dheatconductionproblemforthetemperaturedistributionwithintherectangularplate.Thermalconductivityoftheplate,KXX=401W/(m-K).2000C1000C

20m1000C

10mStep1:AnsysUtilityMenu

1000C

Fileclearandstartnewdonotreadfileokyes.SHAMANTHSHDAVANGERENIETBAGALOREStep2:AnsysMainMenuPreferencesselectTHERMAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddSolidQuad4node55okoptioneleviorK3Planestresswiththicknessokclose.MaterialPropertiesmaterialmodesThermalConductivityIsotropicKXX401.Step4:PreprocessorModelingCrereaRectanglebydimensionsX1,X2,Y1,Y20,10,0,20ok.MeshingMeshToshAreasQuadFreeMeshpickallok.MeshToolRefinepickallLevelofnt3ok.Step5:PreprocessorLoadsDefineloadsapplyThermalTemperaturenesselect1000ClinesapplyDOFstobeconstrainedTEMPTempvalue1000CLoadsDefineloadsapplyThermalTemperatureonLinesselect1000ClinesDOFstobeconstrainedTEMPTempvalue2000Cok.Step6:SolutionSolvecurrLSok(Solutionisdoneisdisplayed)close.37

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Step7:GeneralPostProcessorPlotresultscontourplotNodalsoluDOFsoluNoalTemperatureokStep8:PlotCtrlsAnimateDeformedresultsDOFSolutionTetureok.

ASSIGNMENTProblem:Forthetwo-dimensionalstainless-steelshownbelow,determinethetemperaturedistribution.Theleftandrightsidesareinsulated.Thetopsurfaceissubjectedtoheattransferbyconvection.Thebottomandinternalportionsurfacesaremaintainedat300C.Thermalconductivityofstainlesssteel=16W/m.K)

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Problem2.Asteellink,withnointernalstresses,ispinnedbetweentwosolidstructuresatareferencetemperatureof00C(273K).Oneofthesolidstructuresisheatedtoatemperatureof750C(348K).Asheatistransferredfromthesolidstructureintothelink(Area=2cmx2cm),thelinkwillattempttoexpand.However,sinceitispinnedthiscannotoccurandassuch,stressiscreatedinthelink.Asteady-statesolutionoftheresultingstresswillbefoundtosimplifytheanalysis.Loadswillnotbeappliedtothelink,onlyatemperaturechangeof75degreesCelsius.Thelinkissteelwithamodulusofelasticityof200GPa,athermalconductivityof60.5W/(m-K)andathermalexpansioncoefficientof12e-6/K.1m

750C

Step2:AnsysMainMenuPreferencesselectTHERMAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddLink3Dconduction33okclose.RealConstant/Edit/DeleteAddokAREA4e-4okclose.MaterialPropertiesmaterialmodemalConductivityIsotropicKXX60.5.

Step4:PreprocessorModelingCreateKeypointsinActiveCSx,y,zlocations0applyx,y,zlocations1,0ok(Keypointscreated).CreateLineslinesinActoordpickkeypoints1and2ok.MeshingSizeCntrlsManualSizeLinesAllLilementedgelength0.1ok.MeshLinesPickAllok.

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Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokFilechngejobnameenternewjobnameTSAokFilechangetitleenternewtitleyy

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Step5:PreprocessorPhysicsEnvironmentWriteentertheTITLEThermalok.PhcsEnvironmentClearok.PreprocessorElementTypeSwitchElemTypeThermaltrucok.MaterialPropertiesMaterialmodelsStructuralLinearElasticIsotEX200e9PRXY0.3.MaterialModelsStructuralThermalExpansionCoefSecfficientIsotropicALPX12e-6ok.PhysicsEnvironmentWriteentertheTITctok.Step6:SolutionSolutionAnalysisTypeNewAnalysisStaticok.SolutiPhysicsEnvironmentReadThermalok(IfthePhysicsoptionisnotavailableunderSolution,clickUnabridgedMenuatthebottomoftheSolutionmenu.Thisshouldmakeitvisible).

SolutionDefineLoadsApplyThermalTemperatureOnKeypointspickfirstkeyapplyTEMPvalue348ok.SolvecurrentLSok(Solutionisdoneisdisplaose.MainMenu>FinishStep7:SolutionSolutionPhysicsEnvironmentReadStrutok.SolutionDefineLoadsApplyStructuralDisplacementOnKeypoints(1,2-UX).SolutionDefineLoadsApplyStructuralTemperaturefromThermAnalyterNameofresultfile(orBrowse)TSA.rthok.Step8:PreprocessorLoadsDefLoadsSettingsReferenceTemp273ok.Step9:SolutionSolvecurrentLSokutionisdoneisdisplayed)close.Step10:GeneralPostProcessorElementtableDefinetableAddResultsdataitem'BySequencenumLSLS1ok.PlotrerplotLineElementResultsElemtableitematnodeILS1ElemtableitematnoeJLS1ok(LineStressdiagramwillbedisplayed).ElementtableListelementtableLS1ok.(Notethestressineachelement:-0.180e9Pa,or180MPaincompressionasexpected.)

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DYNAMICANALYSISModalAnalysisofCantileverbeamfornaturalfrequencydetermination.Modulusofelasticity=200GPa,Density=7800Kg/m3

0.01m0.01m1m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delastic3ok-close.RealconstantsArealconstantsetno1c/sarea0.01*0.01momentofinertia0.01*0.01**3/12albeamheight0.01ok.MaterialPropertiesmaterialmodelsStructuralLinearasticIsotropicEX200e9PRXY0.27Density7800okclose.Step4:PreodelingCreateKeypointsinActiveCSx,y,zlocations0,0applyx,y,zloc1,0ok(Keypointscreated).CreateLineslinesinActiveCoordpickkeypointsand2ok.MeshingSizeCntrlsManualSizeLinesAllLineselementedgelengtok.MeshLinesPickAllok.Step5:SolutionSolutionAnalysisTypeNewAnsModalok.SolutionAnalysisTypeSubspaceAnalysisoptionsnoofmodestoact5noofmodestoexpand5ok(usedefaultvalues)ok.SolutionDefineApplyStructuralDisplacementOnKeypointsPickfirstkeypointapplyDOFstconstrainedALLDOFok.SolvecurrentLSok(Solutionisdoneisdisplayed)ce.SHAMANTHSHDAVANGERENIETBANGALORE

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Step7:GeneralPostProcessorResultSummaryStep8:GeneralPostProcessorReadResultsFirstSetPlotResultsDeformedShapedef+undeformedok.PlotCtrlsmateDeformedshapedef+undeformed-ok.ReadResultsNextSetPlotResultsDeforedShapedef+undeformedok.PlotCtrlsAnimateDeformedshapedef+undeformed-o

Fixed-fixedbeamsubjectedtoforcingfunctionConductaharmonicforcedresponsetestbyapplyingacyclicload(harmonic)attheendofthebeam.Thefrequencyoftheloadwillbevariedfrom1-100Hz.Modulusofelasticity=200GPa,Poisson'sratio=0.3,Density=7800Kg/m3.100N0.01m0.01mSHAMANTHSHDAVANGERENIETBANGALORE1m

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddBEAM2Delastic3okclose.Realconstantsrealconstantsetno1c/sarea0.01*0.01momentofinertia0.01*0.01**3/12tlbeamheight0.01ok.MaterialPropertiesmaterialmodelsStructuralLinearsticIsotropicEX200e9PRXY0.3Density7800ok.Step4:PreprocessorCreateKeypointsinActiveCSx,y,zlocations0,0applyx,y,zlocations1Keypointscreated).CreateLineslinesinActiveCoordpickkeypoints1and2.42

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MeshingSizeCntrlsManualSizeLinesAllLineselementedgelength0.1okLinesPickAllok.Step5:SolutionSolutionAnalysisTypeNewAnalysisHarmook.SolutionAnalysisTypeSubspaceAnalysisoptionsSolutionmethodFULLrintoutformatReal+imaginaryok(usedefaultvalues)ok.SolutionDefineLsApplyStructuralDisplacementOnKeypointsPickfirstkeypointapplyDOeconstrainedALLDOFok.SolutionDefineLoadsApplyStructuralForce/MomeKeypointsPicksecondnodeapplydirectionofforce/momFYRealpartofforcom100imaginarypartofforce/mom0ok.SolutionLoadStepOptsTime/FrequFreqandSubstps...Harmonicfrequencyrange0100numberofsubsteps100Beppedok.SolvecurrentLSok(Solutionisdoneisdisplayed)close.Step6:TieHistPostproSelectAdd'(thegreen'+'signintheupperleftcorner)fromthiswindowNodalsolutionDOFsolutionYcomponentofDisplacementok.Graphicallyselectnode2ok.SelectListData'(3buttonstotheleftof'Add')fromthewindow.'TimeHistoryVariables'windowclickthe'Plot'button,(2buttonstotheleftof'Add')Step7:UtilityMenuPlotCtrlsStyleGraphsModifyAxisYaxisscaLogarithmicok.UtilityMenuPlotReplot.Thisistheresponseatnode2forthecyclicloadappliedatthisnodefrom0-100Hz.

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BarsubjectedtoforcingfunctionConsiderthebarshowninfigurebelow.Conductaharmonicforcedresponsetestbyapplyingacyclicload(harmonic)attheendofthebar.Thefrequencyoftheloadwillbevariedfrom1-100Hz.Modulusofelasticity=200GPa,Poisson'sratio=0.3,Density=7800Kg/m3.1500NE=2.1x105N/mm2

1500NDia=50mm300mm

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokyes.Stp2:AnsysMainMenuPreferencesselectSTRUCTURAL-okStep3:PreprocessorElementtypeAdd/Edit/DeleteAddLink2Dspar1okclose.RealconstantsAddlconstantsetno1c/sarea22/7*50**2/4ok.MaterialPropertiesmaterialmosStructuralLinearElasticIsotropicEX2.1e5PRXY0.27Density7.Step4:PreprocessorModelingCreateKeypointsinActiveCSx,y,zlocations0applyx,y,zlocations300,0ok(Keypointscreated).CreateLineslinesveCoordpickkeypoints1and2ok.MeshingSizeCntrlsManualSizeLinesAleselementedgelength0.1ok.MeshLinesPickAllok.Step5:SolutionSolAnalysisTypeNewAnalysisHarmonicok.SolutionAnalysisTypeSubspacesoptionsSolutionmethodFULLDOFprintoutformatReal+imaginaryok(useultvalues)ok.SolutionDefineLoadsApplyStructuralDisplacementOnKeypPickfirstkeypointapplyDOFstobeconstrainedALLDOFok.44

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SolutionDefineLoadsApplyStructuralForce/MomentOnKeypointsPickseconeapplydirectionofforce/momFYRealpartofforce/mom1500imaginaryparforce/mom0ok.SolutionLoadStepOptsTime/FrequencyFreqandSubstps...nicfrequencyrange0100numberofsubsteps100B.Csteppedok.SolveSok(Solutionisdoneisdisplayed)close.Step6:TimeHistPostproSelectAdd'hegreen'+'signintheupperleftcorner)fromthiswindowNodalsolutionDOFsolutionYcomponentofDisplacementok.Graphicallyselectnode2ok.SelectLitData'(3buttonstotheleftof'Add')fromthewindow.'TimeHistoryVariables'windowclickthe'Plot'button,(2buttonstotheleftof'Add')Step7:UtilityMenuPlotCtrlsStyleGraphsModifyAxisYaxisscaleLogarithmicok.UtenuPlotReplot.Thisistheresponseatnode2forthecyclicloadappliedatthisnodefrom0-100Hz.

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LaminarFlowAnalysesina2-DDuctInletlength=4in,Inletheight=1in,Transitionlength=2in,outletheight=2.5in,outletlength=4in,AirDensity=1.21x10-7lbf-s2/in4,AirViscosity=2.642x10-9lbf-s/in2,InletVelocity=1in/sec.Reynoldsnumberof90.

Step1:AnsysUtilityMenuFileclearandstartnewdonotreadfileokFilechngejobnameenternewjobnameFFAokFilechangetitleenternewtitleyyStep2:AnsysMainMenuPreferencesselectFLOTRANCFDok.Step3:PreprocessorElementtypeAdd/Edit/DeleteAddFLOTRANCFD2DFLOTRAN141okclose.StepeprocessorModelingCreateAreaRectanglebydimensionsX1,X2,Y1,Y20,41applyCreateAreaRectanglebydimensionsX1,X2,Y1,Y26,10,0,2.5ateLinesLinesTanto2linesPickupperlineofleftrectangleokPickthgencyendofthefirstline(upperrightcorner)okPickupperlineofrightrectangleokPickthetangencyendofthefirstline(upperleftcorner)okcancelCreateAreaArbitraryThroughKPsPick4cornersincounterclockwiseorderoUtilityMenuPlotLinesStep5:PreprocessorMeshingMeshToolLinesset(pinesinflowdirectionalongtheinlet)applyenter15asNo.ofelementdivisionsenter-2asSpacingratioapplyPickthetopandbottomlinesofcenterareaapplyenter12asNo.ofelementdivisionsenter1asSpacingratioapplyPickhetopandbottomlinesofouterregionapplyenter15asNo.ofelementdivisionsenter3asSpacingratiook.MeshingMeshToolLinesFlippicktheupperofOuterregionok.SHAMANTHSHDAVANGERENIETBANGALORE

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MeshingMeshToolLinessetPickthe4transversedirectionlines(verticallins)okenter10asNo.ofelementdivisionsenter-2asSpacingratiook.MeshinMeshToolMeshAreasQuadMappedMeshpickallok.UtilityMenuPlot6:PreprocessorMainMenuPreprocessorLoadsDefineLoadsApplyFluid/CFDityOnLinesPicktheinletline(theverticallineatthefarleft)okVX1ue)VY0ok.MainMenuPreprocessorLoadsDefineLoadsApplyFluid/CFDOnLinesPickthesixlinesonthetopandbottomokVX0(value)VY0okenuPreprocessorLoadsDefineLoadsApplyFluid/CFDPressureDOFOnLinesheoutletline(verticallineonthefarright)okPressurevalue0ok.Step7SolutionFLOTRANSetUpFluidPropertiesDensityAIRINViscosityAIRINokdefaultvalues)ok.FLOTRANSetUpExecutionCtrlGlobalIterations40ok.FRANSetUpFlowEnvironmentRefConditionsreferencepressure14.7nominal,snation,andreferencetemperatures70temperatureoffsetfromabsolute460ok.UNFLOTRANsolutiondoneclose.Step8:GeneralPostprocReadResultslastsetStep9:GeneralPostprocPlotresultsvectorplotpredefinedDOFSolnVelocityVok.Step10:GeneralPostprocPlotresultscontourplotnodalsolnotherFLOTRANquantitiestotalstagnationpressureok.Step11:GeneralPostprocPlotResultsFlowTraceDefiTracePtPickthreeorfourpointsaroundtheinletregionandtwoorthreepointsintherecirculationregion(alongtheupperwallofthetransitionregion)ok.UtilityMenuPlotCtrlsAnimateParticleFlowDOFSolutionlocityVXok.PathOperationsDefinePathByNodesPickthelowestandthenthehighestpointoftheoutletokenterPathNameVokclose.PathOperationsntoPathuserlabelforItemVELOCITYDOFSolutionVelocityVXok.PathOperansPlotpathItemonGraphVELOCITYok.

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