1Example2TitleContinuousbeamwithfixedendsandanintermediatehingesupportDescriptionAcontinuousbeamwithfixedendsandanintermediatehingesupportissubjectedtoauniformlydistributedloadandaconcentratedload.Determinethebendingmomentsofthestructure.Structuralgeometryandanalysismodel2ModelAnalysisType2-Dstaticanalysis(X-Zplane)UnitSystemft,kipDimensionLength30.0ftElementBeamelementMaterialModulusofelasticityE=4320.0×103ksfSectionPropertyElement–MomentofinertiaIyy=0.0201ft4Element–MomentofinertiaIyy=0.0067ft4BoundaryConditionNodes1and3;ConstrainallDOFs.Node2;ConstrainDxandDz.(RotationalhingeabouttheY-axis)LoadCaseAuniformlydistributedload,1.2kips/ft,isappliedattheelementinthe–Zdirection.Aconcentratedload,8.0kipsisappliedtothemid-pointoftheelementinthe–Zdirection.Example23ResultsBendingmomentdiagramofthestructure4ComparisonofResultsUnit:kip-ftBendingMoment(My)ElementNodeTheoreticalMIDAS/Gen11-49.0-49.022-22.0-22.02-22.0-22.023-4.0-4.0ReferencesLausen,HaroldI,“StructuralAnalysis”,McGrawHillBookCo.Inc.,NewYork,1969.pp.323∼325.
