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ID:58851596
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时间:2020-09-23
《机制材料力学试卷A答案.doc》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
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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