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Optimum shape of columns with general conservative end loading

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Abstract

In this paper, the optimal shape of a column with the most general conservative state of loading is determined. The boundary conditions of a column contain, in general, 16 parameters; it is shown that the boundary values of a column with general conservative loading may, at most, depend on nine constants. The influence of these parameters on the optimal shape and corresponding buckling load is also obtained.

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Authors and Affiliations

  1. Pahlavi University, Shiraz, Iran

    M. Farshad (Associate Professor of Civil Engineering) & I. Tadjbakhsh (Professor of Mechanical Engineering)

Authors
  1. M. Farshad
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  2. I. Tadjbakhsh
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Communicated by W. Prager

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Farshad, M., Tadjbakhsh, I. Optimum shape of columns with general conservative end loading. J Optim Theory Appl 11, 413–420 (1973). https://doi.org/10.1007/BF00932490

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  • DOI: https://doi.org/10.1007/BF00932490

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