1Example23TitleThincylindricalshellundertwopointloadsDescriptionComputethedisplacementsofathincylindricalshell.Apairofequalandoppositepointloadsactonathincylindricalshelltransversetothecylindricalaxis.Onlyaquarterofahalfmodelmaybeanalyzedduetosymmetry.2StructuralgeometryandanalysismodelExample603MODELAnalysisType3-DstaticanalysisUnitSystemin,lbfDimensionLength300inRadius300inElementPlateelement(Thintype)MaterialModulusofelasticityE=3×106psiPoisson’sratioν=0.3ElementPropertyElementsizea×b=[300/12in×2π]×[300/4/12in]Thicknesst=3inBoundaryConditionNodes157~169;ConstrainDz,RxandRy.(SymmetricaboutX-Yplane)Nodes1~157;ConstrainDx,RyandRz.(SymmetricaboutY-Zplane)(atanincrementof13)Nodes13~169;ConstrainDy,RxandRz.(SymmetricaboutZ-Xplane)(atanincrementof13)LoadCaseApointload,1.0/4lbfactsatthenode157intheYdirection.4ResultsDeformedshapeofthestructure(Node157)Example605ComparisonofResultsUnit:inResultTheoreticalNISAIISAP2000MIDAS/GenMaximumdisplacement(δY)4.5197×10-44.62516×10-44.6290×10-44.6224×10-4※Themaximumdisplacementoccursatthenode157.ReferencesS.Timoshenko,S.Woinowsky-Krieger,“TheoryofPlatesandShells”,2ndEditionMcGraw-HillBookCo.Inc.,NewYork,1959.“NISAII,VerificationProblemsManual”,Version91.0,EngineeringMechanicsResearchCorporation,1991,Problem2.13.
