1Example6TitlePlaneframewithbeamspanloadsDescriptionThisisa2-Dframesubjectedtoverticalstaticloads.(concentratedanduniformlydistributedloads)Drawtheshearforcediagramandthebendingmomentdiagramoftheentirestructure.Structuralgeometryandanalysismodel2ModelAnalysisType2-Dstaticanalysis(X-Zplane)UnitSystemin,kipDimensionLength36×12inHeight10×12inElementBeamelementMaterialModulusofelasticityE=3000ksiSectionPropertyArea(Columns)A=10000000in2Momentofinertia(Columns)Iyy=13824in4Momentofinertia(Beams)Iyy=27000in4BoundaryConditionNodes1,2and3;ConstrainallDOFs.Node2oftheelement,node4oftheelementandnode6oftheelement;ReleaseRyintheelementlocalcoordinates.LoadCaseLoadCase1;Aconcentratedload,P1=50kipseachisappliedtothenodes4and6inthe-Zdirection.Aconcentratedload,P2=100kipseachisappliedtothenode5andthemid-pointsoftheelementsandinthe-Zdirection.LoadCase2;Auniformlydistributedload,ω=10kips/ft=10/12kips/inisimposedontheelementsandinthe-Zdirection.Example63ResultsShearforcediagramofthestructure:LoadCase1Bendingmomentdiagramofthestructure:LoadCase14Shearforcediagramofthestructure:LoadCase2Bendingmomentdiagramofthestructure:LoadCase2Example65ComparisonofResultsUnits:kip-in,kipLoadCase1(Concentratedload)LoadCase2(Uniformlydistributedload)MemberForceLocationofthenodeTheoreticalETABSMIDAS/GenTheoreticalETABSMIDAS/GenEnd40.000.000.000.000.000.001/4point1687.501687.501687.502430.002430.002430.001/2point3375.003375.003375.002430.002430.002430.003/4point-337.50-337.50-337.500.000.000.00BendingmomentEnd5-4050.00-4050.00-4050.00-4860.00-4860.00-4860.00End4-31.25-31.25-31.25-67.50-67.50-67.501/4point-31.25-31.25-31.25-22.50-22.50-22.501/2point68.7568.7568.7522.5022.5022.503/4point68.7568.7568.7567.5067.5067.50ShearforceEnd568.7568.7568.75112.50112.50112.50※UnderLoadCase2,themaximumbendingmomentofthestructureis2733.75kips-inatthelocationof81.0infromthenode4intheXdirection.Refertothefiguresshownabove.References“ManualofSteelConstruction-AllowableStressDesign”,AmericanInstituteofSteelConstruction,Chicago,Illinois,1989.“ETABS,ExamplesManual”,Version6.0,ComputersandStructures,Inc.,Berkeley,California,1994,Example1.
