The cantilever beam under tension, bending or flexure at infinity
type: Item
instance of: scholarly article
title: The cantilever beam under tension, bending or flexure at infinity
zbMATH Open document ID: 0538.73065
DOI: 10.1007/BF00042208
author: R. Douglas Gregory
author: I. Gladwell
published in: Journal of Elasticity
publication date: 1982-01-01T00:00:00Z
review text: The paper deals with the determination of the stress field in a cantilever beam under tension, bending or flexure at infinity. This problem is important in mechanical engineering for the higher order asymptotic theory of bending of thick plates. The exact solution shows that the stress field near the corner points is unbounded. A novel method, the method of projection, is presented in the paper. The applications refer to: a) a simple tension; b) a pure bending moment; c) flexure with transverse shear force. A numerical technique is used to solve the problem. Graphs of stress at the clamped end of the beam for the three force systems are shown in the paper for different values of Poisson ratio, in comparison with Saint-Venant solution and other results from references.
reviewed by: V.Gioncu
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 3856546
zbMATH Keywords: cantilever beam under tension, bending or flexure at infinity
zbMATH Keywords: higher order asymptotic theory
zbMATH Keywords: bending of thick plates
zbMATH Keywords: exact solution
zbMATH Keywords: stress field near the corner points is unbounded
zbMATH Keywords: method of projection
zbMATH Keywords: simple tension
zbMATH Keywords: pure bending moment
zbMATH Keywords: flexure with transverse shear force
describes a project that uses: NAG
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3856546