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Optimal spherical cupola of uniform strenght: Allowance for selfweigth

Optimale sphärische Kuppel gleicher Festigkeit: Berücksichtigung von Eigengewicht

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Summary

This paper concerns the optimal design of a spherical cupola of given base radius that consists of a material obeying Tresca's yield condition. Five different combinations of selfweight, weight of non-carrying cover, snow-load and external as well as internal pressure are discussed. Finally, the results are compared with the optimal solutions for spherical shellgrids.

Übersicht

Die Arbeit behandelt den optimalen Entwurf einer sphärischen Kuppel von gegebenem Basis-radius. Für den Werkstoff wird die Fließbedingung von Tresca angenommen. Es werden fünf verschiedene Kombinationen folgender Lasten betrachtet: Eigengewicht, das Gewicht einer nichttragenden Abdeckung, Schneelast und äußere sowie innere Druckbelastung. Schließlich werden die Ergebnisse mit den optimalen Lösungen für Gitterschalen verglichen.

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References

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Authors and Affiliations

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

    H. Nakamura M. Sc.,  M. Dow &  G. I. N. Rozvany

Authors
  1. H. Nakamura M. Sc.
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  2. M. Dow
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  3. G. I. N. Rozvany
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Additional information

In memoriam William Prager

The present project was originally undertaken by Prof. Dr.-Ing. Drs. h. c. W. Prager and the third author. Because of Professor Prager's sudden and unexpected death, it was completed by the third author and his associates

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Nakamura, H., Dow, M. & Rozvany, G.I.N. Optimal spherical cupola of uniform strenght: Allowance for selfweigth. Ing. arch 51, 159–181 (1981). https://doi.org/10.1007/BF00535988

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  • DOI: https://doi.org/10.1007/BF00535988

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