Advanced Steel Construction

Vol. 15, No. 1, pp. 66-72(2019)




Hesham Ahmed1, John Durodola2 and Robert G. Beale3*

1  Ingenieur Buero, Rainfarnstr. 25, 80935 Munich, Germany

2  Professor,, Faculty of Design, Technology and Environment, Oxford Brookes University, Oxford, UK;

3  Visiting Research Fellow, Faculty of Design, Technology and Environment, Oxford Brookes University, Oxford, UK

*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. )

Received: 20 April 2017; Revised: 15 January 2018; Accepted: 29 January 2018




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Although elastic buckling has been researched for decades there is still a need to develop fast and comprehensive procedures that will reduce product design time especially during the pre-sizing stage. This paper presents a novel equation and parameters for the buckling analysis of plates that accounts for the interaction of geometry parameters, boundary conditions and different load distributions. The method covers geometrical plate shapes such as triangular, trapezoidal, and slightly curved plates. In the place of classical methods the procedure combines a number of concepts in a novel heuristic manner to achieve a comprehensive solution. The procedure extends the Euler column buckling boundary condition coefficients to different plate edge boundary condition combinations. Geometry parameters reflect the combined effect of plate aspect ratio and the number of buckle waves. A load parameter introduces a factor that allows the effect of different load distributions to be included in the equation. The method is tested for flat plates of different planar shapes and for slightly curved plates with cylindrical geometries. Eighteen combinations of free, simple support and clamped edge boundary conditions are considered together with uniform and linearly varying edge stress loading conditions. The results are compared with analytical and finite element analyses.



Plates; stability, trapezoidal, cylindrical; triangular; buckling


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