1Example4TitleCircularringstructureDescriptionAcircularringissubjectedtoapairofequalandoppositeconcentratedloadsintheradialdirectionofthering.Determinethedisplacementsandbendingmoments.Onlyaquarterofthemodelmaybeanalyzedduetosymmetry.2StructuralgeometryandanalysismodelExample603ModelAnalysisType2-Dstaticanalysis(X-Zplane)UnitSystemm,NDimensionRadius2.0mThickness0.0004mWidth1.0mElementBeamelementMaterialModulusofelasticityE=2.0×1011PaSectionPropertyAreaA=4.0×10-4m2EffectiveshearareaAsz=2.66667×10-4m2MomentofinertiaIyy=1.33333×10-8m4BoundaryConditionNode1;ConstrainDzandRy.(SymmetricaboutX-axis)Node13;ConstrainDxandRy.(SymmetricaboutZ-axis)LoadCaseWithaquartermodelaload,8.0/2N,isappliedtothenode13inthe-Zdirection.4ResultsDeformedshapeofthestructureBendingmomentdiagramofthestructureExample605ComparisonofResultsUnit:m,NmResultsTheoreticalADINAMIDAS/Genδx(Node13)1.64×10-31.63×10-31.63×10-3Displacementδz(Node13)-1.79×10-3-1.78×10-3-1.78×10-3BendingmomentMy(Node13)5.095.095.09ReferencesTimoshenko,S.,“StrengthofMaterials,PartI,ElementaryTheoryandProblems”,3rdEdition,D.VanNostrand,1955.“ADINA,VerificationManual-LinearProblems”,Version6.1,ADINAR&D,Inc.,1992,ExampleA.10.
