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Optimal design of multi-purpose beam-columns

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Abstract

The paper deals with the optimal design of an elastic pinended member of given volume that is to serve as a beam for a part of its design life and as a column for the rest. The optimal design can be interpreted in two ways. Firstly, it is the design that has the maximum Euler buckling load in column action, subject to a prescribed maximum deflection as a beam. Secondly, it is the design that has the least deflection as a beam under a midspan concentrated load, subject to a minimum permissible Euler buckling load in column action. The effectiveness of the optimal design is judged by comparing it with a prismatic bar of the same volume.

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References

  1. Prager, W., andShield, R. T.,Optimal Design of Multi-Purpose Structures, International Journal of Solids and Structures, Vol. 4, pp. 469–475, 1968.

    Google Scholar 

  2. Karihaloo, B. L.,Optimal Design of Multi-Purpose Tie-Beams, Journal of Optimization Theory and Applications, Vol. 27, No. 3, 1979.

  3. Karihaloo, B. L.,Optimal Design of Multi-Purpose Tie-Columns of Solid Construction, International Journal of Solids and Structures (to appear).

  4. Hemp, W. S.,Optimal Structures, p. 49, Clarendon Press, Oxford, England, 1973.

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  5. Huang, N. C.,Optimal Design of Elastic Beams for Minimum-maximum Deflection, Journal of Applied Mechanics, ASME, Vol. 38, pp. 1078–1081, 1971.

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  6. Prager, W., andTaylor, J. E.,Problems of Optimal Structural Design, Journal of Applied Mechanics, ASME, Vol. 35, pp. 102–106, 1968.

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  7. Keller, J. B.,The Shape of the Strongest Column, Archives of Rational Mechanics and Analysis, Vol. 5, pp. 275–285, 1960.

    Google Scholar 

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Communicated by W. Prager

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Karihaloo, B.L., Parbery, R.D. Optimal design of multi-purpose beam-columns. J Optim Theory Appl 27, 439–448 (1979). https://doi.org/10.1007/BF00933034

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  • DOI: https://doi.org/10.1007/BF00933034

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