1Example27TitleAnalysisofastructureduetotemperaturechangeDescriptionExaminetheresultantstressesofastructurecomprisedofsteelandcoppermembers.Thestructureissubjectedtoaconcentratedloadandauniformtemperaturechangeovertheentirestructure.Structuralgeometryandanalysismodel2MODELAnalysisType2-DthermalstressanalysisUnitSystemin,lbfDimensionLengthofhanger=20.0inSpace=10.0inElementTrusselement(Verticalmember)andbeamelement(Rigidbody)MaterialSteelModulusofelasticityEs=30×106psiCoefficientofthermalexpansionsα=70×10-7in/in⋅F°CopperModulusofelasticityEc=16×106psiCoefficientofthermalexpansioncα=92×10-7in/in⋅F°RigidbeamsModulusofelasticityEB=1.0×1015psiSectionalPropertyTruss(Vertical)AreaA=0.1in2Beam(Rigidbody)MomentofinertiaIyy=1.0in4BoundaryConditionNodes1~3;ConstrainDxandDz.(Hingesupports)AnalysisCaseAconcentratedload,4000lbfisappliedtothenode5inthe–Zdirection.TemperaturechangeovertheentirestructureInitialtemperature=15F°Finaltemperature=25F°Example273ResultsStressesStressofthestructure4ComparisonofResultsUnit:psiStressRef.1MIDAS/GenSteel(σs)1969519695Copper(σc)1015210152ReferenceTimoshenko,S.,.“StrengthofMaterials,Part1.ElementaryTheoryandProblems”,3rdEdition,D,VanNostrandCo.,Inc.,NewYork,1955,p.30,Problem9.
