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Optimal spherical cupola of uniform strength

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Summary

This paper concerns the optimal design of a spherical cupola of given base radius that consists of a material without tensile strength. The combined action of the weights of the cupola proper and a cover of uniform thickness is considered, and the designs for minimum total weight (minimum vertical load on foundation) and minimum structural weight (minimum material consumption) are discussed.

Übersicht

Die Arbeit betrifft den optimalen Entwurf einer sphärischen Kuppel von gegebenem Basisradius, die aus einem Material ohne Zugfestigkeit besteht. Die kombinierte Belastung durch das Eigengewicht der Kuppel und das Gewicht einer Abdeckung konstanter Dicke wird behandelt, und Entwürfe für minimales Gesamtgewicht (minimale Vertikalbelastung des Fundaments) und für minimales Eigengewicht (minimaler Materialverbrauch) werden besprochen.

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References

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Authors and Affiliations

  1. Department of Civil Engineering, Monash University, 3168, Clayton, Victoria, Australia

    W. Prager &  G. I. N. Rozvany

  2. Savognin

    W. Prager

Authors
  1. W. Prager
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  2. G. I. N. Rozvany
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Additional information

This note is cordially dedicated to Prof. Dr. Dr. h. c. Hans Ziegler on the occasion of the seventieth anniversary of his birth.

This paper is the last publication by Prof. Dr.-Ing. Dr. h. c. mult. William Prager whose sudden death, on 16 March 1980, is a tragic loss to the world of science.

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Prager, W., Rozvany, G.I.N. Optimal spherical cupola of uniform strength. Ing. arch 49, 287–293 (1980). https://doi.org/10.1007/BF02426908

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  • DOI: https://doi.org/10.1007/BF02426908

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