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1、中国石油大学(北京)2007——2008学年第1学期《EngineeringMechanics》期末考试试卷/AClass:Name:RegistrationNo.:Score:No.IIIIIIIVVVITotalScoreDate:Jan.11,2008I.Basicquestions(Total27Points).1.(3points)Whatisthedifferencebetweentheendurancelimitofamaterial(forastandardspecimen)andtheendur
2、ancelimitofarealmember?2.(4points)WeightofthebodyisW,andpushingforceisP.W=100N,P=500N.mS=0.3.Determinethefriction.3.(4points)Ifacircularbar(d1,l1)isreplacedbyanother(d2=2d1,l2=2l1),pleasecomparetheirtwistrigidityandstrength.4.(4points)Iftheimpactloadsareequal
3、forthetwobars,comparetheimpactstressesinthetwobars.Fig.I-4Fig.I-55.(6points)Inordertoenhancetheloadcapacityofabeam,twoproposalsareofferedasshown.(a)Twothickplatesarepileduptogetherdirectlywithoutanybolt,and(b)twothickplatesarepileduptogetherwithseveralboltsto
4、tightenthem(Forinstance,boltsaresetatA,BandC).(1)Neglectthefrictionbetweenplatesincase(a),comparetheloadcapacitiesintwocases.Writedownrelativeequations.(2)Trytoanalysestheforcesactingonbolts.6.(6points)Aconnectingrodofasteamenginewitharectangularcrosssectionu
5、ndergoesanaxialcompressiveforce.Whenthebendingoccursinxyplane,itcanbetreatedastwoendspinsupportedandastwoendsfixed,whenthebendingoccursinxzplane.Inwhichplanewillitbuckleiftherodisslender?Pleasewritedownanalysisprocess.I.(12points)DeterminetheforcePrequiredfor
6、theequilibriumofthecompoundleverifQ=4200N.q=30kN/mP=20kNIII.(14points)Forabeamshownasfollowing,drawbendingmomentandshearforcediagrams.M=10kN×mA2m1m1mBIII.(12points)ForthebarwithrigidityEAshownintheFig.,findthereactionsatendsandplotaxialforcediagram.V.(15point
7、s)AhorizontalbracketABCisfixedatsupportAandfreeatC.Thebracketisconstructedfromacircularcross-sectionalbarwithconstantdiameterd.AverticalloadPactsatC.FindtheverticaldisplacementδvatCwithenergymethod.EandGareconstant.(Withothermethodonly15´60%=9pointsarepossibl
8、e).PBAaaCVI.(20points)Acircularshaft(d=200mm)withbendingmomentM=96kN×mandtorqueT=84kN×misshowninthefigure.PointsAisthepointonthesurfaceoftheshaft.LetE=200GPa,andsallow=160MPa.(a)Findsandt