Inclusion of Transverse Shear Deformation in Finite Element Displacement Formulations

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1974 English Publisher:American Institute of Aeronautics and Astronautics (AIAA)Journal:AIAA Journal, volume 12, pages 1,613-1,614 (issn: 0001-1452, eissn: 1533-385X,

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Authors: R. NARAYANASWAMI; H. M. ADELMAN;

doi: 10.2514/3.49563

Inclusion of Transverse Shear Deformation in Finite Element Displacement Formulations

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Abstract

A stiffness matrix is derived for a beam element with transverse shear deformation. It is shown that straightforward energy minimization yields the correct stiffness matrix in displacement formulations when transverse shear effects are considered. Since the TIM4 beam element does not represent the geometric boundary conditions for a cantilever beam the rotation of the normal must be retained as a grid point degree of freedom.

Related Organizations

National Aeronautics and Space Administration
United States
Langley Research Center
United States

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