On the diffusion of load from a stiffener into an infinite wedge-shaped plate

J.B. Alblas; W.J.J. Kuypers

doi:10.1007/BF00411576

On the diffusion of load from a stiffener into an infinite wedge-shaped plate

J.B. Alblas, W.J.J. Kuypers

Department of Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

9 Citations (Scopus)

Abstract

The stress-distribution in a wedge-shaped plate with a stiffener upon one of the edges is considered. The stiffener is loaded by an axial force. The problem leads to the solution of a biharmonic equation with one mixed boundary condition. The problem is reduced to the standard problem of the stress-distribution in a wedge. The reduction has been executed by the solution of a difference equation for the transform of the shear-stress along the stiffened edge. For this solution we give two representations: one by means of an infinite product and one by means of an integral. Full discussion is given on asymptotic behaviour and on the numerical aspects.

Original language	English
Pages (from-to)	429-439
Number of pages	11
Journal	Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/BF00411576
Publication status	Published - 1966

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Alblas, J. B., & Kuypers, W. J. J. (1966). On the diffusion of load from a stiffener into an infinite wedge-shaped plate. Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods, 15(1), 429-439. https://doi.org/10.1007/BF00411576

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N2 - The stress-distribution in a wedge-shaped plate with a stiffener upon one of the edges is considered. The stiffener is loaded by an axial force. The problem leads to the solution of a biharmonic equation with one mixed boundary condition. The problem is reduced to the standard problem of the stress-distribution in a wedge. The reduction has been executed by the solution of a difference equation for the transform of the shear-stress along the stiffened edge. For this solution we give two representations: one by means of an infinite product and one by means of an integral. Full discussion is given on asymptotic behaviour and on the numerical aspects.

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10.1007/BF00411576