Rampant Arch and Its Optimum Geometrical Generation

Velilla Lucini, Cristina and Alcayde, Alfredo and San Antonio Gomez, Jose Carlos de and Montoya, Francisco G. and Zavala Morencos, Ignacio de and Manzano Agugliaro, Francisco (2019). Rampant Arch and Its Optimum Geometrical Generation. "Symmetry", v. 11 (n. 5); p. 627. ISSN 2073-8994. https://doi.org/10.3390/sym11050627.


Title: Rampant Arch and Its Optimum Geometrical Generation
  • Velilla Lucini, Cristina
  • Alcayde, Alfredo
  • San Antonio Gomez, Jose Carlos de
  • Montoya, Francisco G.
  • Zavala Morencos, Ignacio de
  • Manzano Agugliaro, Francisco
Item Type: Article
Título de Revista/Publicación: Symmetry
Date: May 2019
ISSN: 2073-8994
Volume: 11
Freetext Keywords: rampant arch; geometry; optimum; flying buttresses; cathedral
Faculty: E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM)
Department: Ingeniería Agroforestal
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Gothic art was developed in western Europe from the second half of the 12th century to the end of the 15th century. The most characteristic Gothic building is the cathedral. Gothic architecture uses well-carved stone ashlars, and its essential elements include the arch. The thrust is transferred by means of external arches (flying buttresses) to external buttresses that end in pinnacles, which accentuates the verticality. The evolution of the flying buttresses should not only be considered as an aesthetic consideration, but also from a constructive point of view as an element of transmission of forces or loads. Thus, one evolves from a beam-type buttress to a simple arch, and finally to a rampant arch. In this work, we study the geometry of the rampant arch to determine which is the optimum from the constructive point of view. The optimum rampant arch obtained is the one with the common tangent to the two arches parallel to the slope line. A computer program was created to determine this optimal rampant arch by means of a numerical or graphical input. It was applied to several well-known and representative cases of Gothic art in France (church of Saint Urbain de Troyes) and Spain (Cathedral of Palma de Mallorca), establishing if they were designs of optimal rampant arches or not.

More information

Item ID: 64144
DC Identifier: http://oa.upm.es/64144/
OAI Identifier: oai:oa.upm.es:64144
DOI: 10.3390/sym11050627
Official URL: https://www.mdpi.com/journal/symmetry
Deposited by: Memoria Investigacion
Deposited on: 15 Oct 2020 06:47
Last Modified: 15 Oct 2020 06:47
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