【答案】《TheoryofElasticitySoutheastUniversity》(东南大学)章节期末慕课答案

【答案】《TheoryofElasticitySoutheastUniversity》(东南大学)章节期末慕课答案有些题目顺序不一致，下载后按键盘ctrl+F进行搜索1.IntroductiontoelasticityQuizforChapter11.单选题：Howmanyelasticconstantsdothemostanisotropicelasticsolidshave?

选项：

A、1

B、2

C、15

D、21

E、36

答案：【21】2.单选题：Inthehistoryofelasticitytheory,whofirstinvestigatedthecontactmechanicsbetweendeformableelasticbodies?

选项：

A、Hertz

B、Navier

C、Cauchy

D、Saint-Venant

答案：【Hertz】3.多选题：Thefundamentalassumptionsofelasticitytheoryinclude:

选项：

A、Continuity

B、Homogeneity

C、Isotropy

D、SmallDeformation

E、Elasticity

答案：【Continuity;Homogeneity;Isotropy;SmallDeformation;Elasticity】4.多选题：Haselasticitytheoryfounditsapplicationsinwhichofthefollowingengineeringareas?

选项：

A、Civilengineering

B、Mechanicalengineering

C、Aeronauticalandaerospaceengineering

D、Materialsscienceandengineering

答案：【Civilengineering;Mechanicalengineering;Aeronauticalandaerospaceengineering;Materialsscienceandengineering】5.单选题：Elasticitytheoryimposesnolimitsonthegeometricshapeofelasticsolids.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Inthehistoryofelasticitytheory,Poissonfirstderivedthedeflectionequationofthinplates.

选项：

A、正确

B、错误

答案：【正确】7.Elasticityanalysisisprimarilyconcernedwiththedeterminationofdisplacement,strainand()distributionsinelasticsolids.

答案：【stress/stresses/Stress/Stresses/STRESS/STRESSES】8.HowmanyelasticconstantsdotheequationsofequilibriumproposedbyNavierhave?(integeronly)

答案：【1】2.MathematicalpreliminariesQuizforChapter21.单选题：Incylindricalcoordinates,theradialandangularunitvectorsaredependentonwhichofthefollowingcoordinatevariable?

选项：

A、Radialcoordinate(r)

B、Angularcoordinate(θ)

C、Verticalcoordinate(z)

D、None

答案：【Angularcoordinate(θ)】2.单选题：Inindicialnotation,noindexcanappearmorethan()timesinasinglealgebraicterm.

选项：

A、1

B、2

C、3

D、nolimit

答案：【2】3.多选题：Whichofthefollowingareisotropictensors,sothattheircomponentsdonotchangeundercoordinatetransformations?

选项：

A、Anyscalar

B、Anyvector

C、Kroneckerdelta

D、Levi-Civitasymbol

答案：【Anyscalar;Kroneckerdelta;Levi-Civitasymbol】4.多选题：Insphericalcoordinates,unitvectorsarefunctionsofwhichofthefollowingcoordinatevariables?

选项：

A、Sphericalradial(R)

B、Sphericallongitudinalcoordinate(φ)

C、Sphericallatitudinalcoordinate(θ)

D、All

答案：【Sphericallongitudinalcoordinate(φ);Sphericallatitudinalcoordinate(θ)】5.单选题：TheoperationofLaplaciandifferentialoperatoronatensordoesnotchangeitsorder.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Forcecanberepresentedbyascalar.

选项：

A、正确

B、错误

答案：【错误】7.Theleftdivergenceofasecondordertensorcanbeobtainedbythecontractionoperationbetweenthefirstandthe()indexofitsrightgradient.

答案：【third/3rd/3/Third/THIRD】8.Howmuchisthedeterminantofthetransformationmatrixbetweendifferentcoordinatesystems?(integeronly)

答案：【1/-1】3.DisplacementandstrainQuizforChapter31.单选题：Howmanyindependentcompatibilityequationsdoesatwo-dimensionalelasticproblemhave?

选项：

A、Zero

B、One

C、Three

D、Six

答案：【One】2.单选题：Theprincipalvaluesofthetotalstraintensorandthedeviatoricstraintensordifferbytheamountof().

选项：

A、Meanstress

B、1/3ofthemeanstress

C、Zero

D、Threetimesofthemeanstress

答案：【Meanstress】3.单选题：Howmanyinvariantsdoesthestraintensorhave??

选项：

A、Zero

B、One

C、Two

D、Three

答案：【Three】4.多选题：Whichofthefollowingfactorscontributetothedisplacementsofamaterialpoint??

选项：

A、Rigid-bodytranslations

B、Rigid-bodyrotations

C、Straindeformations

D、None

答案：【Rigid-bodytranslations;Rigid-bodyrotations;Straindeformations】5.单选题：Thetotalstraintensorandthedeviatoricstraintensorhavethesameprincipaldirections.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Rotationtensorisgivenbytheanti-symmetricpartoftherightdisplacementgradientanditstranspose.

选项：

A、正确

B、错误

答案：【正确】7.单选题：Themeanstraintensorisanisotropictensorsothatitscomponentsremaininvariantundercoordinatetransformation.

选项：

A、正确

B、错误

答案：【正确】8.Bydefinition,straintensorisgivenbythe()partoftherightdisplacementgradientanditstranspose.

答案：【symmetric/Symmetric/symmetrical/Symmetrical/SYMMETRIC/SYMMETRICAL】4.StressandequilibriumQuizforChapter41.单选题：Howmuchistheratiobetweentheoctahedralshearstressandtheequivalentstressofthemaximumdistortionenergyyieldcriterion?

选项：

A、Thesquarerootof2/9

B、2/9

C、1

D、1/3

答案：【Thesquarerootof2/9】2.单选题：Thefirstsubscriptofastresscomponentstandsforitsactingsurfacewhereasthesecondonerepresentsits().?

选项：

A、Direction

B、Magnitude

C、Actingsurface

D、None

答案：【Direction】3.多选题：Whichofthefollowingcanbetheunitsofstresses?

选项：

A、Pascal

B、Newtonperunitarea

C、Mega-Pascal

D、Giga-Pascal

答案：【Pascal;Newtonperunitarea;Mega-Pascal;Giga-Pascal】4.多选题：TherightandleftdivergenceoftheCauchystresstensorare().

选项：

A、equal

B、negativetoeachother

C、transposetoeachother

D、anti-symmetrictoeachother

答案：【equal;transposetoeachother】5.单选题：Theprincipalvaluesofthetotalandthedeviatoricstressesdifferbytheamountofmeanstress.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Thetotalstressandthedeviatoricstresshavedifferentprincipaldirections.

选项：

A、正确

B、错误

答案：【错误】7.单选题：Cauchystresstensorissymmetric.

选项：

A、正确

B、错误

答案：【正确】8.Theequilibriumequationsdefinedforamaterialpointinsideanelasticbodycanbederivedfromtheconservationsoflinearand()momenta.

答案：【angular/angle/Angular/Angle/ANGLE/ANGULAR】5.ConstitutiverelationsQuizforChapter51.单选题：Transverselyisotropicmaterialshave()independentelasticconstants.

选项：

A、5

B、2

C、3

D、9

答案：【5】2.单选题：Forisotropicelasticmaterials,Young’smodulusis()shearmodulus.

选项：

A、greaterthan

B、lessthan

C、equalto

D、notrelevantto

答案：【greaterthan】3.单选题：Forisotropicelasticmaterials,thereareintotal()independentelasticconstants.

选项：

A、2

B、13

C、5

D、9

答案：【2】4.单选题：Forthemostanisotropicelasticmaterials,thereareintotal()independentelasticconstants.

选项：

A、21

B、9

C、13

D、5

答案：【21】5.多选题：Forconventionalelasticmaterials,whichofthefollowingargumentsarecorrectforPoisson’sratio.

选项：

A、Itisgreaterthanzero.

B、Itislessthan0.5.

C、Itisdefinedasthenegativeoftheratiobetweenaxialandtransversestrainunderauniaxialstressstate.

D、Itisadimensionlessquantity.

答案：【Itisgreaterthanzero.;Itislessthan0.5.;Itisdefinedasthenegativeoftheratiobetweenaxialandtransversestrainunderauniaxialstressstate.;Itisadimensionlessquantity.】6.多选题：Thefourthorderstiffnesstensorissymmetricaboutits:?

选项：

A、Firsttwosubscripts

B、Lasttwosubscripts

C、Firstandsecondpairofsubscripts

D、Allsubscripts

答案：【Firsttwosubscripts;Lasttwosubscripts;Firstandsecondpairofsubscripts】7.单选题：Rubber’scoefficientofthermalexpansionisfargreaterthanthoseofmetals.

选项：

A、正确

B、错误

答案：【正确】8.单选题：Young’smodulus,shearmodulusandPoisson’sratioarenotindependentsincewecanfindanequalityrelatingthemtogether.

选项：

A、正确

B、错误

答案：【正确】6.FormulationsandsolutionstrategyQuizforChapter61.单选题：Instressformulation,stresscomponentsarefirstsolvedfromcompatibilityconditionsand()

选项：

A、equilibriumequations.

B、strain-displacementrelations.

C、Hooke’slaw.

D、nootherconditionsareneeded.

答案：【equilibriumequations.】2.单选题：Forthree-dimensionaldisplacementformulationofelasticitytheory,weaimtosolvethethreedisplacementcomponentsfrom()Navier’sequationsofequilibrium.

选项：

A、three

B、six

C、one

D、nine

答案：【three】3.多选题：Theboundaryconditionsofelasticproblemsinclude:

选项：

A、Tractionconditions

B、Displacementconditions

C、Mixedconditions

D、Symmetryconditions

答案：【Tractionconditions;Displacementconditions;Mixedconditions】4.多选题：Solutionsstrategiesofelasticproblemsinclude:

选项：

A、Directmethod

B、Inversemethod

C、Semi-inversemethod

D、Guessing

答案：【Directmethod;Inversemethod;Semi-inversemethod】5.单选题：Alongageneralnon-coordinatesurface,externallyappliedsurfacetractionscannotreducetoindividualstresscomponents.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Inthedisplacementformulationofelasticitytheory,straincompatibilityisofaconcern.

选项：

A、正确

B、错误

答案：【错误】7.Thegoalofelasticitytheoryistodeterminethedistributionofdisplacements,strainsand().

答案：【stresses/stress/Stress/Stresses/STRESS/STRESSES】8.Thecompatibilityconditionsofstressesmaybeexpressedbyeithersixsecond-orderpartialdifferentialequationsor()fourth-orderpartialdifferentialequations.

答案：【three/3/THREE/Three】7.FormulationsofplaneelasticityQuizforChapter71.单选题：Forharmonicbodyforcepotentials,thestressformulationofplaneelasticitytheorymaybetransformedintoasinglebiharmonicequationaboutwhichofthefollowingquantity?

选项：

A、Airystressfunction

B、Stress

C、Strain

D、Displacement

答案：【Airystressfunction】2.单选题：Inplanestrainformulation,what’stheratiobetweentheout-of-planestressandthesumoftwoin-planestresscomponents?

选项：

A、Poisson’sratio

B、NegativeofPoisson’sratio

C、0

D、Notrelated

答案：【Poisson’sratio】3.多选题：Forasimply-connectedplanedomainsubjectedtoharmonicbodyforcepotentialsandonlytractionboundaryconditions,whichofthefollowingstatementsarecorrect?

选项：

A、TheAirystressfunctionsofplanestrainandplainstressformulationssatisfythesamegoverningequation.

B、Thestressesforplanestrainandplanestressformulationsareidentical.

C、Thestressesforplanestrainandplanestressformulationsareindependentonelasticconstants.

D、Thedisplacementsforplanestrainandplanestressformulationsareidentical.

答案：【TheAirystressfunctionsofplanestrainandplainstressformulationssatisfythesamegoverningequation.;Thestressesforplanestrainandplanestressformulationsareidentical.;Thestressesforplanestrainandplanestressformulationsareindependentonelasticconstants.】4.多选题：Aboutplanestrainandplanestressformulations,whichofthefollowingstatementsarecorrectdescriptions?

选项：

A、OneformulationcanbeconvertedtoanotherbythesimultaneousreplacementsofYoung’smodulusandPoisson’sratio.

B、WiththehelpofKolosov’sconstant,theybeexpressedwiththeidenticalform.

C、Thegoverningequationsoftwoformulationsdifferonlybyelasticconstants.

D、ThemethodofAirystressfunctionisvalidforbothformulations.

答案：【OneformulationcanbeconvertedtoanotherbythesimultaneousreplacementsofYoung’smodulusandPoisson’sratio.;WiththehelpofKolosov’sconstant,theybeexpressedwiththeidenticalform.;Thegoverningequationsoftwoformulationsdifferonlybyelasticconstants.;ThemethodofAirystressfunctionisvalidforbothformulations.】5.单选题：Inplanestressproblems,theout-of-planestraincomponentmustbezero.

选项：

A、正确

B、错误

答案：【错误】6.单选题：Inplanestrainproblems,theout-of-planestresscomponentmustbezero.

选项：

A、正确

B、错误

答案：【错误】7.Thinplatessubjectedtotractionsactingonlyintheirmiddleplanesmaybeformulatedintermsoftheplane()elasticitytheory.

答案：【stress/stresses/Stress/Stresses/STRESS/STRESSES】8.Longcylinderssubjectedtobodyforcesandtractionsthatbothareindependentontheaxialdirectionanddonothavetheaxialcomponentmaybeformulatedintermsoftheplane()elasticitytheory.

答案：【strain/strains/Strain/Strains/STRAIN/STRAINS】MidtermexamMidtermexam1.单选题：Incylindricalcoordinates,theradialandtheangularunitvectorsaredependentonwhichofthefollowingcoordinatevariables?

选项：

A、Radialcoordinate(r)

B、Angularcoordinate(θ)

C、Verticalcoordinate(z)

D、None

答案：【Angularcoordinate(θ)】2.单选题：Instressformulation,stresscomponentsarefirstsolvedfromcompatibilityconditionsand()

选项：

A、equilibriumequations.

B、strain-displacementrelations.

C、Hooke’slaw.

D、nootherconditionsareneeded.

答案：【equilibriumequations.】3.单选题：Thefirstsubscriptofastresscomponentstandsforitsactingsurfacewhereasthesecondonerepresentsits().

选项：

A、Direction

B、Magnitude

C、Actingsurface

D、None

答案：【Direction】4.单选题：Theprincipalvaluesofthetotalstraintensorandthedeviatoricstraintensordifferbytheamountof().

选项：

A、Meanstress

B、1/3ofthemeanstress

C、Zero

D、Threetimesofthemeanstress

答案：【Meanstress】5.多选题：Aboutplanestrainandplanestressformulations,whichofthefollowingstatementsarecorrectdescriptions?

选项：

A、OneformulationcanbeconvertedtoanotherbythesimultaneousreplacementsofYoung’smodulusandPoisson’sratio.

B、WiththehelpofKolosov’sconstant,theybeexpressedwithanidenticalform.

C、Thegoverningequationsoftwoformulationsdifferonlybyelasticconstants.

D、ThemethodofAirystressfunctionisvalidforbothformulations.

答案：【OneformulationcanbeconvertedtoanotherbythesimultaneousreplacementsofYoung’smodulusandPoisson’sratio.;WiththehelpofKolosov’sconstant,theybeexpressedwithanidenticalform.;Thegoverningequationsoftwoformulationsdifferonlybyelasticconstants.;ThemethodofAirystressfunctionisvalidforbothformulations.】6.多选题：Whichofthefollowingareisotropictensors,sothattheircomponentsdonotchangeundercoordinatetransformations?

选项：

A、Anyscalar

B、Anyvector

C、Kroneckerdelta

D、Levi-Civitasymbol

答案：【Anyscalar;Kroneckerdelta;Levi-Civitasymbol】7.多选题：Thefundamentalassumptionsofelasticitytheoryinclude:

选项：

A、Continuity

B、Homogeneity

C、Isotropy

D、SmallDeformation&(Linear/Perfect)Elasticity

答案：【Continuity;Homogeneity;Isotropy;SmallDeformation&(Linear/Perfect)Elasticity】8.多选题：Thefourthorderstiffnesstensorissymmetricaboutits:

选项：

A、Firsttwosubscripts

B、Lasttwosubscripts

C、Firstandsecondpairofsubscripts

D、Allsubscripts

答案：【Firsttwosubscripts;Lasttwosubscripts;Firstandsecondpairofsubscripts】9.单选题：Thetotalstraintensorandthedeviatoricstraintensorhavethesameprincipaldirections.

选项：

A、正确

B、错误

答案：【正确】10.单选题：TheoperationofLaplaciandifferentialoperatoronatensordoesnotchangeitsorder.

选项：

A、正确

B、错误

答案：【正确】11.单选题：Inthedisplacementformulationofelasticitytheory,straincompatibilityisofaconcern.

选项：

A、正确

B、错误

答案：【错误】12.单选题：TheCauchystresstensorisnotsymmetric.

选项：

A、正确

B、错误

答案：【错误】13.Thinplatessubjectedtotractionsactingonlyintheirmiddleplanesmaybeformulatedintermsoftheplane()elasticitytheory.

答案：【stress/Stress/STRESS/stresses/Stresses/STRESSES】14.Elasticityanalysisisprimarilyconcernedwiththedeterminationofdisplacement,strainand()distributionsinelasticsolids.

答案：【stress/Stress/STRESS/stresses/Stresses/STRESSES】15.Theequilibriumequationsdefinedforamaterialpointinsideanelasticbodycanbederivedfromtheconservationsoflinearand()momenta.

答案：【angle/angular/Angle/Angular/ANGLE/ANGULAR】16.Bydefinition,straintensorisgivenbythe()partofrightdisplacementgradientanditstranspose.

答案：【symmetric/symmetrical/Symmetric/Symmetrical/SYMMETRIC/SYMMETRICAL】8.PlaneproblemsinrectangularcoordinatesQuizforChapter81.单选题：Forgravitydamswithatriangularcross-section,themethodofdimensionanalysisworkedduringtheproposalofavalidAirystressfunction.Inyouropinion,whatisthemostimportantreason?

选项：

A、Nocharacteristiclengthisinvolvedinthegeometry.

B、Gravityisconsidered.

C、Waterpressureisconsidered.

D、Thedimensionofexternalloadscanbeuniquelydetermined.

答案：【Nocharacteristiclengthisinvolvedinthegeometry.】2.单选题：Airystressfunctionsintheformofthird-orderpolynomialsofCartesiancoordinateswillgeneral()distributionofstresses.

选项：

A、linear

B、constant

C、quadratic

D、quartic

答案：【linear】3.多选题：Whichofthefollowingstatementsabouttransversbendingofbeamssoundcorrecttoyou?

选项：

A、Bendingstressactingonbeamcross-sectionsisresultingfrombendingmoment.

B、Shearstressinbeamsisresultingfromshearforce.

C、Thetransversnormalstressisresultingfromthetransversloading.

D、Therearenoconnectionscanbemadebetweenstresscomponentsandinternalforces.

答案：【Bendingstressactingonbeamcross-sectionsisresultingfrombendingmoment.;Shearstressinbeamsisresultingfromshearforce.;Thetransversnormalstressisresultingfromthetransversloading.】4.多选题：WhichofthefollowingAirystressfunctionscanautomaticallysatisfythegoverningbiharmonicequation?

选项：

A、First-orderpolynomialsofCartesiancoordinates

B、Second-orderpolynomialsofCartesiancoordinates

C、Third-orderpolynomialsofCartesiancoordinates

D、Fourth-orderpolynomialsofCartesiancoordinates

答案：【First-orderpolynomialsofCartesiancoordinates;Second-orderpolynomialsofCartesiancoordinates;Third-orderpolynomialsofCartesiancoordinates】5.单选题：Forthepurebendingproblemofabeam,elasticitytheoryandEuler-Bernoullibeamtheorypredictdifferentbendingstresssolutions.

选项：

A、正确

B、错误

答案：【错误】6.单选题：Airystressfunctionsintheformoffirst-orderpolynomialsofCartesiancoordinatesproducezerostresses.

选项：

A、正确

B、错误

答案：【正确】7.Forbeamswithahighspan-to-heightratio,thetractionboundaryconditionsatbothendcross-sectionsmaybesatisfiedbystaticallyequivalentstresses.Thisrelaxationofboundaryconditionsisbasedonthe()principle.

答案：【Saint-Venant's/Saint-Venant/saint-venant/saint-venant's/SAINT-VENANT/SAINT-VENANT'S/SaintVenant/SaintVenant's/saintvenant/saintvenant's/SAINTVENANT/SAINTVENANT'S】8.Inelasticitytheory,thetransversbendingproblemsofbeamsmaybesolvedbythemethodofpowerseriesandthemethodof()series.

答案：【Fourier/fourier/FOURIER】9.PlaneproblemsinpolarcoordinatesQuizforChapter91.单选题：Forwedgessubjectedtoboundarytractionsvaryingbypowerfunctionsoftheradialcoordinate,wemaystarttoconstructthetrialsolutionfromtherelationbetweenAirystressfunctionand()stresscomponent.

选项：

A、angular

B、radial

C、shear

D、allthreeplanestresscomponents

答案：【angular】2.单选题：Forconcentratedforcesactingontheboundaryofahalf-plane,theonlynontrivialstresscomponentis:

选项：

A、radialstress

B、hoopstress

C、shearstress

D、verticalstress

E、horizontalstress

答案：【radialstress】3.单选题：Fortheproblemofarotatingdiskorcylinderunderconstantangularvelocity,themaximumradialandhoopstressesbothoccurat:

选项：

A、thecenter

B、theouterboundary

C、somewherebetweenthecenterandtheperimeter

D、outsidethedomain

答案：【thecenter】4.多选题：Foraninfiniteelasticplanecontainingacircularholeandsubjectedtoremoteuniaxialloading,thequalifiedAirystressfunction:

选项：

A、mustclearalltractionsalongtheholesurface.

B、needtoproducetheexactuniaxialstressatinfinity.

C、canbedecomposedintoanequalbiaxialandanoppositebiaxialloadingconfiguration.

D、producesdecayingstressesawayfromthevoid.

答案：【mustclearalltractionsalongtheholesurface.;needtoproducetheexactuniaxialstressatinfinity.;canbedecomposedintoanequalbiaxialandanoppositebiaxialloadingconfiguration.;producesdecayingstressesawayfromthevoid.】5.多选题：WhichofthefollowingproblemsusingthesolutionoftheFlamantproblemcansolve?

选项：

A、Ahalf-planesubjectedtoaconcentratedmoment.

B、Ahalf-planesubjectedtouniformpressure.

C、Ahalf-planesubjectedtouniformsheartraction.

D、Ahalf-spacesubjectedtoarbitrarysurfacetractions.

答案：【Ahalf-planesubjectedtoaconcentratedmoment.;Ahalf-planesubjectedtouniformpressure.;Ahalf-planesubjectedtouniformsheartraction.】6.单选题：IntegratingtheAirystressfunctionduetoaconcentratednormalforcecansolvethehalf-planeproblemundertheapplicationofaconcentratedmoment.

选项：

A、正确

B、错误

答案：【错误】7.单选题：Theelasticfieldsforaxialsymmetricsolutionsderivedfromdisplacementformulationandstressformulationareidentical.

选项：

A、正确

B、错误

答案：【错误】8.Nearacircularholeembeddedinaninfiniteelasticdomainundertheapplicationoffar-fieldpureshearloading,thestressconcentrationfactoris().

答案：【4/4.0/4.00】10.TorsionofprismaticshaftsQuizforChapter101.单选题：Underthesameamountoftwistingmoments,makingacutonaclosedthin-walledtuberesultsin()shearstresses.

选项：

A、Muchhigher

B、Muchlower

C、Unchanged

D、Zero

答案：【Muchhigher】2.单选题：Guidedbytheobservationsfrommechanicsofmaterials,thetorsionofnon-circularshaftswassolvebywhichofthefollowingmethodintheoryofelasticity?

选项：

A、Directmethod

B、Inversemethod

C、Semi-inversemethod

D、Methodofseparationofvariables

答案：【Semi-inversemethod】3.多选题：Basedonourlectures,themethodofboundaryequationworksforthetorsionproblemofnon-circularshaftswiththefollowingcross-sectionalshapes:

选项：

A、Ellipse

B、EquilateralTriangular

C、Circlewithacircularkeyway

D、Rectangle

答案：【Ellipse;EquilateralTriangular;Circlewithacircularkeyway】4.多选题：Bycomparingthetorsionalproblemofprismaticshaftswiththemembraneinflationproblem,whichofthefollowingargumentsarecorrect?

选项：

A、Theyhavethesametypeofgoverningequationsandboundaryconditions.

B、Thetwistingmomentisequivalenttotwiceofthemembranevolume.

C、Prandtlstressfunctionisequivalenttothemembraneelevationfunction.

D、Theunitangleoftwistisrelatedtotheuniformpressureactingonthemembrane.

答案：【Theyhavethesametypeofgoverningequationsandboundaryconditions.;Thetwistingmomentisequivalenttotwiceofthemembranevolume.;Prandtlstressfunctionisequivalenttothemembraneelevationfunction.;Theunitangleoftwistisrelatedtotheuniformpressureactingonthemembrane.】5.单选题：Prandtlstressfunctionmustbeconstantonalllateralsurfacesofaprismaticshaftsubjectedtotwistingmoments.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Thetorsionaldeformationofnon-circularshaftsmaybedecomposedastherigid-bodyrotationofcross-sectionsandthewarpingdisplacement.

选项：

A、正确

B、错误

答案：【正确】7.单选题：Themethodofboundaryequationsisabletosolvethetorsionproblemofprismaticshaftwithverythinrectangularcross-sections.

选项：

A、正确

B、错误

答案：【正确】8.单选题：PrandtlstressfunctionisidenticaltoAirystressfunction.

选项：

A、正确

B、错误

答案：【错误】11.Three-dimensionalproblemsQuizforChapter111.单选题：TheLamestrainpotentialhasthedimensionof().

选项：

A、N·m

B、N

C、N/m

D、N/m/m

答案：【N】2.单选题：ComponentsoftheGalerkindisplacementpotentialvectorhavethedimensionof().

选项：

A、N·m

B、N

C、N/m

D、N/m/m

答案：【N·m】3.多选题：InHertziancontactproblem,thefundamentalunknowsweaimtosolveinclude:

选项：

A、Themaximumpressureatthecenterofthecontactcircle

B、Theradiusofthecontactcircle

C、Therelativerigid-bodydisplacementbetweenapairofcontactingpointsafterdeformation

D、Thedistributionpatternofthecontactpressurebetweentwodeformablecontactbodies

答案：【Themaximumpressureatthecenterofthecontactcircle;Theradiusofthecontactcircle;Therelativerigid-bodydisplacementbetweenapairofcontactingpointsafterdeformation】4.多选题：Thedisplacementpotentialsthatyouhavelearnedfromthelecturesinclude:

选项：

A、Lamestrainpotentialfunction

B、Lovestrainpotentialfunction

C、Galerkindisplacementpotentialvector

D、Papkovich-Neuberdisplacementpotentials

答案：【Lamestrainpotentialfunction;Lovestrainpotentialfunction;Galerkindisplacementpotentialvector;Papkovich-Neuberdisplacementpotentials】5.单选题：ThesimpleLamestrainpotentialproduceszerovolumestrain.

选项：

A、正确

B、错误

答案：【正确】6.单选题：Themethodofdisplacementpotentialsaimstoconvertthefundamentalunknownsofanelasticproblemfromdisplacementcomponentstotheirpotentialfunctions.Althoughtheorderofthedifferentialequationssatisfiedbythepotentialfunctionsishigher,thedifferentialequationsareingeneralmuchsimplerthantheNavier’sequationsofequilibrium.

选项：

A、正确

B、错误

答案：【正确】7.TheLovestrainpotentialcanbereducedfromthe()displacementpotentialvectorbykeepingonlyitsthirdcomponent.

答案：【Galerkin/GALERKIN】8.Thedisplacementvectorcanbeexpressedasthe()orderderivativesoftheGalerkindisplacementpotentialvector.

答案：【second/2nd/Second/SECOND】12.Bendingofthin-platesQuizforChapter121.单选题：Alongaclampedboundaryofthinplates,boththedeflectionandthe()functionarezero.

选项：

A、slope

B、curvature

C、bendingmoment

D、twistingmoment

答案：【slope】2.单选题：Comparedwithbeams,theflexuralrigidityofthinplatesis().

选项：

A、larger

B、thesame

C、smaller

D、difficulttocompare

答案：【larger】3.多选题：Alongasimplysupportedboundaryofthinplates,whichofthefollowingquantitiesmustbezero?

选项：

A、deflection

B、bendingmoment

C、slope

D、twistingmoment

答案：【deflection;bendingmoment】4.多选题：Theinternalforcesinathinplateunderbendingdeformationinclude:

选项：

A、bendingmoment

B、twistingmoment

C、shearforce

D、axialforce

答案：【bendingmoment;twistingmoment;shearforce】5.单选题：Themethodofboundaryequationcanalwayssolvethebendingproblemofthinplatessubjectedtoeitherfixedorsimplysupportedboundaries.

选项：

A、正确

B、错误

答案：【错误】6.单选题：Inthebendingtheoryofthinplates,straightlinesnormaltothemiddlesurfaceareassumedtoremainstraightandthesamelengthduringthedeformationprocess.

选项：

A、正确

B、错误

答案：【正确】7.KirchhoffprovedthatthetworequirementsofPoissondealingwiththetwistingmomentandshearingforcealongafreeedgeofbendingthinplatesmustbereplacedby()condition.

答案：【one/1/One/ONE】8.Thegoverningequationofthinplatesunderbendingcanbeeventuallyexpressedasa()-orderinhomogeneousdifferentialequationaboutthedeflectionfunction.

答案：【fourth/4th/Fourth/FOURTH】13.ThermoelasticityQuizforChapter131.单选题：Duringsolvingtheisothermalsubproblem,theboundaryconditionsareoftensimplifiedbasedontheprincipleof

选项：

A、Saint-Venant’sprinciple.

B、superposition.

C、solutionuniqueness.

D、solutionexistence.

答案：【Saint-Venant’sprinciple.】2.单选题：Providedthatthedisplacementsofathermoelasticproblemcanbederivedfromasinglescalarpotential,theNavier’sequationsofequilibriumcanbeconvertedinto

选项：

A、aPoisson’sequation.

B、aLaplacianequation.

C、abiharmonicequation.

D、analgebraicequation.

答案：【aPoisson’sequation.】3.多选题：Thermoelasticproblemscanbesolvedfromwhichofthefollowingformulations?

选项：

A、Stressformulation

B、Displacementformulation

C、Strainformulation

D、Temperatureformulation

答案：【Stressformulation;Displacementformulation】4.单选题：Theproportionalitybetweenheatfluxandthenegativeoftemperaturegradientisquantifiedbythermalconductivity.

选项：

A、正确

B、错误

答案：【正确】5.单选题：Fromthedisplacementformulation,thesolutionofatwo-dimensionalthermoelasticproblemcanbeconstructedbytheoriginalis