On the displacement formulation of torsion of shafts with rectangular cross‐sections

Abstract

Abstract The use of warping displacement functions for the torsional stiffness representation of beams with rectangular cross‐sections is studied. These functions can directly be employed in the displacement‐based formulation of Hermitian and isoparametric three‐dimensional beam elements for linear, elastic‐plastic or large displacement/large rotation analysis. the results of some studies are given to demonstrate the applicability and use of the proposed functions.