A Generalized Approach to the Local Stability of Stiffened Plates: Part I–Mathematical Formulation

by Osama Bedair, Univ of Waterloo, Waterloo, Canada,
Archibald Sherbourne, Univ of Waterloo, Waterloo, Canada,



Document Type: Proceeding Paper

Part of: Structures Congress XII

Abstract:

The paper describes a generalized approach for the determination of the buckling stress of stiffened plates under combination of uniform biaxial compression, in-plane bending and shear stress. The plate is treated as partially restrained against rotation and in-plane translation. In the first stage, the plate is considered as infinitely long with idealized buckling modes and the energy method is used to formulate the buckling factor, K for this condition. The buckling stress is then computed using mathematical programming by finding the combination of parameters in the idealized buckling mode that minimizes K. Modification factors are then suggested to compute the buckling stresses for plates of finite lengths.



Subject Headings: Plates | Structural stability | Mathematics | Shear stress | Biaxial strength | Compression | Bending (structural) | Rotation

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