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ID:37614423
大小:2.56 MB
页数:57页
时间:2019-05-26
《材料力学 课件(厦门大学) 第七章 弯曲变形 bending deformation》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、第七章弯曲变形8学时BendingDeformationsDeflectionEquationofthedeflectioncurveangleofrotationangleofrotation()⎛dv⎞θx=arctan⎜⎟accurate⎝dx⎠dvθ()x≈tanθ()x=approx.dxDifferentialequationofthedeflectioncurve(9.2,p609)9.3p615Integrationconstants1.boundaryconditions;2.continuityofthedeflec
2、tioncurve:smoothnessofthecurve;nodiscontinuitiesindeflectionandangleofrotationv(x+)=v(x−)v′(x+)=v′(x−)•BoundaryConditionsCantileverBeamsSimplebeams9.5p632SmallDeflectionLinearelasticLinearDifferentialEquationofthedeflectioncurveThedeflectionofabeamsubjectedtoPrincipleofm
3、ultipleloadsequalsthesumofthesuperpositiondeflectionsofthebeamsubjectedtoeachloadseparately.Inengineeringpractices,itisoftenneededtocomputethemaximumdeflectionandangleofrotationunderseveralloads.Inthiscase,themethodofsuperpositionismoreconvenient.Ex:Fig.9-16,p632E9-6、9-8
4、、9-9(p635)AppendixG(p891)10.4,p709•Planeproblem,3equationsofequilibrium•4unknownreactionsEx:E10-3、10-6(p712)releasedstructure:Staticallydeterminatebeamreleasedstructure:StaticallydeterminatebeamB.C.(equationsofcompatibility)
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