Torsion-extension coupling in initially twisted beams by finite elements

The analysis of initially twisted beams subjected to axial loads (extension and/or torsion) may be performed by finite element modelling of only a sma ll slice of the beam cross-section. Accurate relationships between the rela ted translational nodal degrees of freedom were formulated and used to main tain the helically symmetric deformation features. Consequently, convention al three-dimensional solid elements can be used for the structural discreti zation. Both linear and nonlinear examples are presented to show the validi ty of the method. Excellent agreement has been achieved compared with the p revious analyses and experimental results. (C) 2001 Editions scientifiques et medicales Elsevier SAS.