Session Start Date

10-26-2006

Abstract

This paper presents an analytical method to calculate the buckling stress of a rectangular thin plate under nonuniform applied axial stresses. Two cases are considered, buckling of a plate simply supported on all four sides and buckling of a plate simply supported on three sides with one unloaded edge free and the opposite unloaded edge rotationally restrained. These two cases illustrate the influence of stress (moment) gradient on stiffened and unstiffened elements, respectively. The axial stress gradient is equilibrated by shear forces along the supported edges. A Rayleigh-Ritz solution with an assumed deflection function as a combination of a polynomial and trigonometric series is employed. Finite element analysis using ABAQUS validates the analytical model derived herein. The results help establish a better understanding of the stress gradient effect on typical thin plates and are intended to lead to the development of design provisions to account for the influence of moment gradient on local and distortional buckling of thin-walled beams.

Department(s)

Civil, Architectural and Environmental Engineering

Research Center/Lab(s)

Wei-Wen Yu Center for Cold-Formed Steel Structures

Meeting Name

17th International Specialty Conference on Cold-Formed Steel Structures

Publisher

University of Missouri--Rolla

Publication Date

10-26-2006

Document Version

Final Version

Rights

© 2006 University of Missouri--Rolla, All rights reserved.

Document Type

Article - Conference proceedings

File Type

text

Language

English

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Oct 26th, 12:00 AM

Stress Gradient Effect on the Buckling of Thin Plates

This paper presents an analytical method to calculate the buckling stress of a rectangular thin plate under nonuniform applied axial stresses. Two cases are considered, buckling of a plate simply supported on all four sides and buckling of a plate simply supported on three sides with one unloaded edge free and the opposite unloaded edge rotationally restrained. These two cases illustrate the influence of stress (moment) gradient on stiffened and unstiffened elements, respectively. The axial stress gradient is equilibrated by shear forces along the supported edges. A Rayleigh-Ritz solution with an assumed deflection function as a combination of a polynomial and trigonometric series is employed. Finite element analysis using ABAQUS validates the analytical model derived herein. The results help establish a better understanding of the stress gradient effect on typical thin plates and are intended to lead to the development of design provisions to account for the influence of moment gradient on local and distortional buckling of thin-walled beams.