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

Rees, David W. A. and Alsheikh, Abdelraouf M. Sami (2024) The Effects of the Longitudinal Axis of Loading upon Bending, Shear and Torsion of a Thin-Walled Cantilever Channel Beam. World Journal of Mechanics, 14 (05). pp. 73-96. ISSN 2160-049X

[thumbnail of wjm2024145_14900742.pdf] Text
wjm2024145_14900742.pdf - Published Version

Download (2MB)

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.

Item Type: Article
Subjects: Institute Archives > Engineering
Depositing User: Managing Editor
Date Deposited: 06 Jul 2024 09:37
Last Modified: 06 Jul 2024 09:37
URI: http://eprint.subtopublish.com/id/eprint/4395

Actions (login required)

View Item
View Item