1Example3TitleOverhangingbeamanalysisDescriptionAnH(I)-sectionbeamissupportedasshownbelowandloadedontheoverhangswithuniformlydistributedloads.Determinethemaximumdisplacementsandthestressesofthebeam.Onlyahalfmodelmaybeanalyzedduetosymmetry.Structuralgeometryandanalysismodel2ModelAnalysisType2-Dstaticanalysis(X-Zplane)UnitSystemin,lbfDimensionLength240.0inElementBeamelementMaterialModulusofelasticityE=30.0×106psiSectionPropertyMomentofinertiaIyy=7892.0in4(Strongaxis)BoundaryConditionNode1;ConstrainDxandRy.(Symmetry)Node2;ConstrainDxandDz.(Hingednode)LoadCaseAuniformlydistributedload,833.333lbf/inisappliedtotheelementinthe–Zdirection.Example33ResultsDisplacementsStressesStressofthestructure(Element)4ComparisonofResultsUnit:in,psiResultTheoreticalSAP2000MIDAS/GenMaximumdeflection(δmax)0.1820.1830.182Maximumstress(σmax)11404.011404.011404.0ReferenceTimoshenko,S.,“StrengthofMaterials,PartI,ElementaryTheoryandProblems”,3rdEd.,D.VanNostrandCo.,Inc.,NewYork,1956,p.98.
