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Limit Design: Formulations and Properties

  • Chapter
Evaluation of Global Bearing Capacities of Structures

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 332))

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Abstract

In the present paper a general formulation of optimal design problems is firstly proposed, and the variational method founded on Lagrangian multiplier technique is shown. As an application a simple example for optimal plastic design of beams is solved.

The variational formulation is discussed in detail for the case of plastic design of circular plates: optimality criterion is shown and special features of optimal solutions are discussed.

Then the same problem is proposed in a discretized form, which makes use of a finite different technique and leads to a linear programming formulation. The features of such an approach are discussed and numerical solutions are shown as well.

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Author information

Authors and Affiliations

  1. University of Pavia, Pavia, Italy

    C. Cinquini

Authors
  1. C. Cinquini
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Editor information

Editors and Affiliations

  1. Polytechnic of Milan, Milan, Italy

    G. Sacchi Landriani

  2. Ecole Polytechnique, Palaiseau, France

    J. Salençon

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© 1993 Springer-Verlag Wien

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Cinquini, C. (1993). Limit Design: Formulations and Properties. In: Landriani, G.S., Salençon, J. (eds) Evaluation of Global Bearing Capacities of Structures. International Centre for Mechanical Sciences, vol 332. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2752-0_5

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  • DOI: https://doi.org/10.1007/978-3-7091-2752-0_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82493-1

  • Online ISBN: 978-3-7091-2752-0

  • eBook Packages: Springer Book Archive

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