1Example24TitleHemisphericalshellunderconcentratedloadsDescriptionDeterminethedisplacementsofahemisphericalshellsubjectedtoconcentratedtensileandcompressiveloadsintwoorthogonalradialdirections.Onlyaquartermodelmaybeanalyzedduetosymmetry.Structuralgeometryandanalysismodel(Quartermodel)VerificationExample2MODELAnalysisType3-DstaticanalysisUnitSystemin,lbfDimensionRadius10.0inElementPlateelement(Thicktype)MaterialModulusofelasticityE=6.825×107psiPoisson’sratioν=0.3ElementPropertyElementsize:Aquartermodelisdividedinto8equalspacesinbothdirectionsalongthesurfaceThicknesst=0.04inBoundaryConditionNodes1~9;ConstrainDy,RxandRz.(SymmetricaboutX-Zplane)Nodes73~81;ConstrainDx,RyandRz.(SymmetricaboutY-Zplane)Node37;ConstrainDz.(TopreventtherigidbodymotionintheZdirection)LoadCaseAconcentratedload,1.0lbfisappliedtothenode1intheXdirection.Aconcentratedload,1.0lbfisappliedtothenode73inthe-Ydirection.Example243ResultsX-displacementsofthestructure(Node1)VerificationExample4ComparisonofResultsUnit:inX-displacement(δx)NodeRef.1SAP2000MIDAS/Gen10.09400.09370.0948ReferenceMacNeal,R.H.andHarder,R.C.,“ProposedStandardSetofProblemstoTestFiniteElementAccuracy”,FiniteElementsinAnalysisandDesign1,1985,pp.3-20,North-Holland.
