Masonry Domes: A study on proportion and similarity

Huerta Fernández, Santiago and Aroca Hernández-Ros, Ricardo (1989). Masonry Domes: A study on proportion and similarity. In: "Proceedings of IASS 30th Anniversary World Congress, Madrid 11-15 September 1989", 11-15 Sept 1989, Madrid.

Description

Title: Masonry Domes: A study on proportion and similarity
Author/s:
  • Huerta Fernández, Santiago
  • Aroca Hernández-Ros, Ricardo
Item Type: Presentation at Congress or Conference (Article)
Event Title: Proceedings of IASS 30th Anniversary World Congress, Madrid 11-15 September 1989
Event Dates: 11-15 Sept 1989
Event Location: Madrid
Title of Book: Proceedings of IASS 30th Anniversary World Congress, Madrid 11-15 September 1989
Date: 1989
Volume: Vol. 1
Subjects:
Freetext Keywords: cúpulas arcos bóvedas fábrica rankine análisis dimensional geometría proporción similitud tamaño historia de la construcción ciencia masonry domes proportion similarity rankine paralell projection limit analysis heyman arches vaults scale geometry similarity
Faculty: E.T.S. Arquitectura (UPM)
Department: Estructuras de Edificación [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A study of the old master builder's rules for structural design of arches, vaults and domes, reveals a persistent presence of 'proportional rules', rules that produce structures geometrically similar. The square-cube law, however, demonstrates that in structures subject to their own weight, stresses grow linearly with size, invalidating these rules from an elastic point of view. A more detailed examination taking into account the problem of stability, i.e. the position of lines or surfaces of thrust, shows that the condition of sufficient stability in masonry structures is what causes an overall geometry for the structure. This excess of dimensions makes that, in fact, the square-cube law begins to apply only to very large spans. The size at which elastic design begins depends on the form of the structure, but for traditional forms, it clearly includes the dimensions of all historical architecture. The rigorous theoretical proof of this argument was implicit in Rankine's theorem of parallel projection as applied to masonry structures. In the present discussion the methods and concepts of Dimensional Analysis have been applied.

More information

Item ID: 1278
DC Identifier: http://oa.upm.es/1278/
OAI Identifier: oai:oa.upm.es:1278
Deposited by: Profesor S. Huerta
Deposited on: 12 Apr 2009
Last Modified: 20 Apr 2016 06:45
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