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• W2091294872 abstract "The optimal cross-sectional shapes of clamped–simply supported columns are presented with the compressive load given by a combination of a non-uniform distributed load and a concentrated load. The buckling load is maximized subject to constraints on the volume of the column and on the maximum stress. The non-symmetry of the boundary conditions leads to optimal shapes which depend on the direction of the distributed load, with the optimal cross-section getting larger in the direction of the distributed load. This is a major difference in the optimal design of columns with symmetrical and asymmetrical boundary conditions when subjected to distributed axial loads. The minimum cross-sectional area is not known a priori in the case of a stress constraint since this depends on the buckling load, which in turn depends on the optimum shape. This aspect is the main difference between the optimal designs of area-constrained and stress-constrained columns. An iterative method is developed to compute the optimal shapes with the analysis performed using a finite element method. Results are given for various combinations of distributed and concentrated loads and constraints. Results for optimal columns with a minimum area constraint are also given for comparison purposes." @default.
• W2091294872 created "2016-06-24" @default.
• W2091294872 creator A5016541666 @default.
• W2091294872 creator A5050248324 @default.
• W2091294872 date "2013-02-01" @default.
• W2091294872 modified "2023-09-23" @default.
• W2091294872 title "Optimal shapes of clamped–simply supported columns under distributed axial load and stress constraint" @default.
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• W2091294872 doi "https://doi.org/10.1080/0305215x.2012.661729" @default.
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