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Rees, D.W.A. and Al-Sheikh, A.M.S. (2024) The Longitudinal Axis of Loading Thin-Walled Beams of Open Section: Combined Flexural Shear, Bending and Torsion of a Cantilever Channel. Engineering, in press.

has been cited by the following article:

• TITLE: The Effects of the Longitudinal Axis of Loading upon Bending, Shear and Torsion of a Thin-Walled Cantilever Channel Beam

  AUTHORS: David W. A. Rees, Abdelraouf M. Sami Alsheikh

  KEYWORDS: Thin-Aluminium Channels, Cantilever Beam, Bending Shear, Torsion, Warping, Bimoment, Flexural Axis, Centre of Twist, Centroid, Shear Centre, Torsional Stiffness, Constrained Stress

  JOURNAL NAME: World Journal of Mechanics, Vol.14 No.5, May 31, 2024

  ABSTRACT: Three aluminium channel sections of US standard extruded dimension are mounted as cantilevers with x-axis symmetry. The flexural bending and shear that arise with applied axial torsion are each considered theoretically and numerically in terms of two longitudinal axes of loading not coincident with the shear centre. In particular, the warping displacements, stiffness and stress distributions are calculated for torsion applied to longitudinal axes passing through the section’s centroid and its web centre. The stress conversions derived from each action are superimposed to reveal a net sectional stress distribution. Therein, the influence of the axis position upon the net axial and shear stress distributions is established compared to previous results for each beam when loading is referred to a flexural axis through the shear centre. Within the net stress analysis is, it is shown how the constraint to free warping presented by the end fixing modifies the axial stress. The latter can be identified with the action of a ‘bimoment’ upon each thin-walled section.