英汉双语弹性力学3.ppt

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1、Chapter3Two-dimensionalProblemsinRectangularCoordinatesElasticity1第三章平面问题的直角坐标解答2Chapter3Two-dimensionalProbleminRectangularCoordinatesTwo-dimensionalProblemsinRectangularCoordinates§3-1SolutionbyPolynomials§3-2DeterminationofDisplacements§3-3BendingofaSimplySupportedBeambyUniformLoad§3-4Loadi

2、ngofaWedgebyGravityandHydraulicPressure§3-6BendingofaSimplySupportedBeambyArbitraryLateralLoad§3-5SolutionbySeriesExercises3第三章平面问题的直角坐标解答平面问题的直角坐标解答§3-1多项式解答§3-2位移分量的求出§3-3简支梁受均布载荷§3-4楔形体受重力和液体压力§3-5级数式解答§3-6简支梁受任意横向载荷习题课41.TheStressFunctionintheformofaPolynomialoftheFirstDegree§3-1Solutionby

3、PolynomialsTheStressComponents:TheStressBoundaryCondition：Conclusion:（1）Thelinearstressfunctioniscorrespondingtothestateofnosurfaceforceandnostress.（2）There’snoeffecttothestresstoaddalinearfunctiontoanystressfunctionoftwo-dimensionalproblem.2.TheStressFunctionintheformofaPolynomialoftheSecondD

4、egreeTwo-dimensionalProblemsinRectangularCoordinates。1.Correspondingto,thestresscomponents0,2,0====yxxyyxattss5一、应力函数取一次多项式§3-1多项式解答平面问题的直角坐标解答应力分量：应力边界条件：结论：（1）线性应力函数对应于无面力、无应力的状态。（2）把任何平面问题的应力函数加上一个线性函数，并不影响应力。二、应力函数取二次多项式1.对应于，应力分量。62.Correspondingto,stresscomponentsConclusion:Thestressfunc

5、tioncanusedtosolutetheproblemofuniformlydistributedshearingstressesrectangularplate.(Fig3-1b)Fig.3-1（a）（b）（c）Two-dimensionalProblemsinRectangularCoordinatesConclusion：1.Thestressfunctioncanbeusedtosolutetheproblemofuniformlydistributedtensile(if)orcompressive(if)stressesony-axisofrectangularpl

6、ate.(Fig3-1a)2ax=j7平面问题的直角坐标解答结论：应力函数能解决矩形板在方向受均布拉力（设）或均布压力（设）的问题。如图3-1（a）。2.对应于，应力分量。结论：应力函数能解决矩形板受均布剪力问题。如图3-1（b）。图3-1（a）（b）（c）83.TheStressFunctionintheformofaPolynomialoftheThirdDegreeTheCorrespondingStressComponentsConclusion：Thestressfunction（a)canbeusedtosolutetheproblemofpurebendingofre

7、ctangularbeam.TherectangularbeamisshowninFig3-2.（a）图Fig.3-2Two-dimensionalProblemsinRectangularCoordinates3.Thestressfunctioncanbeusedtosolutetheproblemofuniformlydistributedtensile(if)orcompressive(if)stresseson-axisofrectangularplate.