Thequasi-conformingelementofthecurvedbeamandshallowcurvedbeamisgiveninthispaper.Numericalexamplesillustratethatthequasi-conformingelementsofthecurvedbeamandshallowcurvedbeamWhichisusedtoaooroximatethecurvedbeamhavebetteraccuracythanthestraightbeamelement.Thecurvedbeamelementconstructedbydisplacementmethodcannotsatislyrigidbodymotionconditionandthevervfinegridshavetobeusedinordertosatisfyrigidbodymotionconditionapproximately.Inthispaperitisprovedthatthestraightbeamelementandthequasi-conformingelementofthecurvedbeamandshallowcurvedbeam.whenelementsizeisreducedinfinitely,haveconvergenceratewiththesameorderO(l~2)andwhenregulurelementsareused,Iistheelementlength.
