1Example20TitleClampedsquareplatewithacentralconcentratedloadDescriptionAsquareplatesupportedonfixedfouredgesissubjectedtoacentralconcentratedload.Determinethedisplacementsandstressesoftheplate.Onlyaquartermodelmaybeanalyzedduetosymmetry.2StructuralgeometryandanalysismodelExample603ModelAnalysisType3-DstaticanalysisUnitSystemin,lbfDimensionLength4.0inWidth4.0inElementPlateelement(Thicktype)MaterialModulusofelasticityE=9.1×106psiPoisson’sratioν=0.3ElementPropertySizea×b=4.0/4in×4.0/4inThicknesst=0.12inBoundaryConditionNodes1~4;ConstrainDyandRx.(SymmetricaboutX-axis)Nodes1,6,11and16;ConstrainDxandRy.(SymmetricaboutY-axis)Nodes21~25;ConstrainallDOFs.(Fixednodes)Nodes5,10,15and20;ConstrainallDOFs.(Fixednodes)LoadCaseAconcentratedload,P/4=10.0/4lbfisloadedtothenode1inthe-Zdirection.4ResultsDisplacementsofthestructureStressesExample605ComparisonofResultsUnit:in,psiZ-displacement(δz)Averagestress(δx)NodeSAP2000MIDAS/GenElementSAP2000MIDAS/Gen10.002600.00262-586.57-586.0620.002040.00204-123.84-124.0830.001130.00113105.48105.3840.000350.00035340.77340.45ReferencesS.P.Timoshenko,S,Woinowsky-Krieger,“TheoryofPlatesandShells”,2ndEdition,McGraw-Hill,NewYork,1959.“NISAII,VerificationProblemsManual”,Version91.0,EngineeringMechanicsResearchCorporation,1991,Problem2.11.
