Premium
Consistency aspects of out‐of‐plane bending, torsion and shear in a quadratic curved beam element
Author(s) -
Naganarayana B. P.,
Prathap G.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620300304
Subject(s) - shear and moment diagram , torsion (gastropod) , bending moment , shear modulus , timoshenko beam theory , shear (geology) , structural engineering , pure bending , finite element method , beam (structure) , classical mechanics , physics , mechanics , geometry , mathematics , bending stiffness , materials science , engineering , composite material , medicine , surgery , thermodynamics
Curved beams in civil engineering applications call for out‐of‐plane bending and torsion under the action of out‐of‐plane transverse shear loads. The design of a quadratic displacement curved beam element capable of representing shear deformation as in the Timoshenko beam theory requires special attention to the manner in which the shear strain is represented. Field‐inconsistent representations of the out‐of‐plane transverse shear strain will result in a loss of efficiency and introduce spurious oscillations in the bending moment, torsional moment and shear force. The optimal field‐consistent assumed strain interpolation for shear is derived and it is demonstrated to posses very high accuracy which is free from spurious force and moment oscillations.