Rampant Arch and Its Optimum Geometrical Generation

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...

Full description

Bibliographic Details
Main Authors: Velilla Lucini, Cristina, Alcayde García, Alfredo, San Antonio Gomez, Jose Carlos de, Gil Montoya, Francisco, Zavala Morencos, Ignacio de, Manzano Agugliaro, Francisco
Format: info:eu-repo/semantics/article
Language:English
Published: MDPI 2020
Subjects:
Online Access:http://hdl.handle.net/10835/7559
_version_ 1789406668540346368
author Velilla Lucini, Cristina
Alcayde García, Alfredo
San Antonio Gomez, Jose Carlos de
Gil Montoya, Francisco
Zavala Morencos, Ignacio de
Manzano Agugliaro, Francisco
author_facet Velilla Lucini, Cristina
Alcayde García, Alfredo
San Antonio Gomez, Jose Carlos de
Gil Montoya, Francisco
Zavala Morencos, Ignacio de
Manzano Agugliaro, Francisco
author_sort Velilla Lucini, Cristina
collection DSpace
description 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.
format info:eu-repo/semantics/article
id oai:repositorio.ual.es:10835-7559
institution Universidad de Cuenca
language English
publishDate 2020
publisher MDPI
record_format dspace
spelling oai:repositorio.ual.es:10835-75592023-04-12T19:32:46Z Rampant Arch and Its Optimum Geometrical Generation Velilla Lucini, Cristina Alcayde García, Alfredo San Antonio Gomez, Jose Carlos de Gil Montoya, Francisco Zavala Morencos, Ignacio de Manzano Agugliaro, Francisco rampant arch geometry optimum flying buttresses cathedral 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. 2020-01-17T12:50:47Z 2020-01-17T12:50:47Z 2019-05-03 info:eu-repo/semantics/article 2073-8994 http://hdl.handle.net/10835/7559 en https://www.mdpi.com/2073-8994/11/5/627 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI
spellingShingle rampant arch
geometry
optimum
flying buttresses
cathedral
Velilla Lucini, Cristina
Alcayde García, Alfredo
San Antonio Gomez, Jose Carlos de
Gil Montoya, Francisco
Zavala Morencos, Ignacio de
Manzano Agugliaro, Francisco
Rampant Arch and Its Optimum Geometrical Generation
title Rampant Arch and Its Optimum Geometrical Generation
title_full Rampant Arch and Its Optimum Geometrical Generation
title_fullStr Rampant Arch and Its Optimum Geometrical Generation
title_full_unstemmed Rampant Arch and Its Optimum Geometrical Generation
title_short Rampant Arch and Its Optimum Geometrical Generation
title_sort rampant arch and its optimum geometrical generation
topic rampant arch
geometry
optimum
flying buttresses
cathedral
url http://hdl.handle.net/10835/7559
work_keys_str_mv AT velillalucinicristina rampantarchanditsoptimumgeometricalgeneration
AT alcaydegarciaalfredo rampantarchanditsoptimumgeometricalgeneration
AT sanantoniogomezjosecarlosde rampantarchanditsoptimumgeometricalgeneration
AT gilmontoyafrancisco rampantarchanditsoptimumgeometricalgeneration
AT zavalamorencosignaciode rampantarchanditsoptimumgeometricalgeneration
AT manzanoagugliarofrancisco rampantarchanditsoptimumgeometricalgeneration