山农双语材力6.ppt

《山农双语材力6.ppt》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、MechanicsofMaterialsCHAPTER6DEFORMATIONINBENDING§6–1Deformationinbendinginengineering§6–2Approximatedifferentialequationofthedeflectioncurve§6–3Integrationmethodtodeterminethedeformationinbending§6–4Superpositionmethodtodeterminedeformationinbending§6–5Simplestaticallyindetermina

2、tebeam§6–6Howtodecreasedeformationinbending2§6–1DeformationinbendinginengineeringStudyrange：Calculationofthedisplacementofthestraightbeamwithequalsectionsinsymmetricbending.Studyobject：①checkingrigidifyofthebeam；②Solvingproblemsaboutstaticallyindeterminatebeams（toprovidecomplemen

3、taryequationsforthegeometric-deformationconditionsofthebeam)DEFORMATIONOFBEAMSDUETOBENDING341).Deflection：3、Therelationbetweentheangleofrotationandthedeflectioncurve：1、TwobasicdisplacementquantitiesoftomeasuredeformationofthebeamSmalldeflectionx2).Angleofrotation：2、deflectioncurv

4、e：w=f(x)§6–2ApproximatedifferentialequationofthedeflectioncurvePvCqC1yθ51、ApproximatedifferentialequationofthedeflectioncurveFormula(2)istheapproximatedifferentialequationofthedeflectioncurve.SmalldeformationDEFORMATIONOFBEAMSDUETOBENDING(1)(2)6yyMM7Forthestraightbeamwiththesames

5、hapeandequalsectionarea,theapproximatedifferentialequationofthedeflectioncurvemaybewrittenasthefollowingform：DEFORMATIONOFBEAMSDUETOBENDING81.Integrationofthedifferentialequation§6–3Integrationmethodtodeterminethedeformationinbending9Displacementconditionsatthesupports：Continui

6、tyconditions：Smoothconditions：DEFORMATIONOFBEAMSDUETOBENDING2.BoundaryconditionsofthedisplacementPABCPD10ABlaCM11ALFCabBEAhDALFCabkBxy12Example1Determinethedeflectioncurves、maximumdeflectionsandmaximumanglesofrotationofthefollowingequal-sectionstraightbeams.Setupthecoordinatesa

7、ndwriteoutthebending-momentequationWriteoutthedifferentialequationandintegrateitDeterminatetheintegralconstantsbytheboundaryconditionsSolution：DEFORMATIONOFBEAMSDUETOBENDINGPLxf13WriteouttheequationofthedeflectioncurveandplotitscurveThemaximumdeflectionandthemaximumangleofro

8、tationxfPLDEFORMATIONOFBEAMSDUETOBENDING