1Example17TitleCurvedcantileverbeamsubjectedtoforcesatthefreeendDescriptionDeterminethedeflectionsatthefreeendofacurvedcantileverbeamsubjectedtoin-planeandout–of-planeforces.Structuralgeometryandanalysismodel2ModelAnalysisType3-DstaticanalysisUnitSystemin,lbfDimensionRadius4.12inWidth0.2inThickness0.1inElementPlateelement(Thicktype)MaterialModulusofelasticityE=1.0×107psiPoisson’sratioν=0.25ElementPropertySizea×b=12π×4.12in×0.2inThicknesst=0.1inBoundaryConditionNode1;ConstrainDy,Dz,Rx,RyandRz(RollersupportintheXdirection)Node8;ConstrainDx,Dy,Dz,Rx,andRz(Hingesupport)LoadCaseLoadCase1;In-planeunitforcesareappliedtothefreeendinthe-Ydirection.2@P=2@0.5lbfLoadCase2;Out-of-planeunitforcesareappliedtothefreeendintheZdirection.2@P=2@0.5lbfExample603ResultsDeformedshapeofthestructureduetoin-planeshearDisplacementsofthestructureduetoout–of-planeforce4ComparisonofResultsUnit:inDisplacementLoadCaseTheoreticalSAP2000MIDAS/Gen10.08730.08520.085420.50220.45870.4587ReferencesMacNealR.H.andHarder,R.C.,“AProposedStandardSetofProblemstoTestFiniteElementAccuracy”,FiniteElementsinAnalysisandDesign1(1985),pp.3-20,NorthHolland.“SAP90,ASeriesofComputerProgramsfortheFiniteElementAnalysisofStructures,StructuralAnalysisVerificationManual”,ComputerandStructures,Inc.,1992,Example11.
