机制材料力学试卷A答案.doc

机制材料力学试卷A答案.doc

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1、2008机制材料力学试卷A一、(20)5.83Theworkingstressesforthemanufacturedwoodbeamare10MPainbendingand1.0MPainshear.Determinethelargestallowablevalueoftheloadintensityw0.Solution5(a)DesignforshearThemaximumshearforceisthefirstmomentofthecross-sectionalareaabovetheneutralaxisis3themomentofinertiaof

2、thecross-sectionalabovetheneutralaxisis3--------P1634(b)DesignforbendingThenormalstress4Sothelargestallowablevalueoftheloadintensity1二、(20)TheoverhangingbeamABCcarriestheuniformlydistributedloadbetweenitssupportsandtheconcentratedloadPatendC.DeterminethedisplacementofthebeamattheC,b

3、ysuperposition.5Accordingtodeflectionformulasforbeams,weknow,5,541三、(20)8.27Thecrosssectionsofthemembersofthepin-jointedstructureare200-mmsquare.FindthemaximumcompressivestressinmemberBDE.15SolutionThemaximumcompressivestressinmemberBDE5四、(20)8.110Determinethesmallestallowablediamet

4、eroftheshaftthatcarriesthethreepulleys.Theworkingstressesareσw=18ksiandτw=8ksi.NeglecttheweightsofthePulleysandtheshaftaswellasthestressduetothetransverseshearforce.SolutionAccordingthesupport,weknowthereisthelargestbendingmomentoccursatC,thelargesttorqueoccursinsegmentBC.Showinthef

5、igure.,FBY=938.33(lb),FDY=1511.67(lb)C点弯矩和扭矩:,D点弯矩和扭矩:,B点弯矩和扭矩:,7AtDsection,wehave,Therefore,thestressatthebottomofthesectionare44DrawtheMohr’scircleAccordingtoMohr’scircle,wehaved=2.119(in.)4Settleit,wegetd=2.397(in.)五、(20)Forthetrussshowninthefigure(a),thecrosssectionofbarCDisshow

6、inFig.(b),usingAISCcolumnspecificationswithE=200GPaandσyp=250MPa.,determinethemaximumsafevalueofP.Assumethatcross-bracingpreventsthejointsfromdeflectingperpendiculartotheplaneofthetruss.SolutionDeterminetheforceFcxDeterminethemomentofinertiaofthecross-sectionalareaaboutthez-axisthem

7、omentofinertiaArea,Theslendernessratioofa1600mmx2400mmrectangleTheleastradiusofgyrationwithz-axis24Theslendernessratio4Fortheslendernessratioislessthan,sothattheconcretecolumnisofintermediatelength.Theseequationsyieldthefactorofsafety4andtheworkingstress4Thelargestallowableaxialload

8、thusbecomesaccordin

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