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SOME BASIC CONCEPTS OF ENGINEERING ANALYSIS

ValueproblemsAnalysisofdiscretesystems:e xampleanalysisofaspringsystemBasicsoluti onrequirementsUseandexplanationofthemode rndirectstiff nessmethodVariationalformulationTEXTBOOK : Thefiniteelementmethodisnowwidelyusedfor analysisofstructuralengineeringproblems. 'ncivil,aeronautical,mechanical,ocean,mi ning,nuclear,biomechani cal,.. ENGINEERING Sincethefirstapplicationstwodecadesago,- wenowseeapplicationsinlinear,nonlinear, variouscomputerprogramsareavailableandin significantuseMyobjectiveinthissetoflect uresis: tointroducetoyoufiniteelementmethodsfort helinearanalysisofsolidsandstructures.[" Iinear"meaninginfinitesi mallysmalldisplacementsandlinearelasticm aterialproeer ties(Hooke'slawapplies)j toconsider-theformulationofthefiniteelem entequilibriumequations-thecalculationof finiteelementmatrices- methodsforsolutionofthegoverningequation s- , 3 SomebasicconceptsofengineeringanalysisRE MARKS Emphasisisgiventophysicalexplanationsrat herthanmathe maticalderivations Techniquesdiscussedarethoseemployedinthe computerpro gramsSAPandADINASAP==StructuralAnalysisP rogramADINA=AutomaticDynamicIncrementalN onlinearAnalysis Thesefewlecturesrepresenta verybriefandcompactintroductiontothefiel doffiniteelementanalysis Weshallfollowquitecloselycertainsections inthebookFiniteElementProceduresinEngine eringAnalysis.]

differential equations using numerical procedures reduction ofcontinuous system to discrete form powerful mechanism: the finite element methods, implemented on digital computers ANALYSIS OF DISCRETE SYSTEMS Steps involved:-system idealization into elements-evaluation ofelement equilibrium requirements-element assemblage-solution of response 1·9

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