Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View
The arches were a great advance in construction with respect to the rigid Greek linteled architecture. Its development came from the hand of the great Roman constructions, especially with the semicircular arch. In successive historical periods, different types of arches have been emerging, which in...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/10/1243 |
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| author | Alfredo Alcayde Cristina Velilla Carlos San-Antonio-Gómez Araceli Peña-Fernández Antonio Pérez-Romero Francisco Manzano-Agugliaro |
| author_facet | Alfredo Alcayde Cristina Velilla Carlos San-Antonio-Gómez Araceli Peña-Fernández Antonio Pérez-Romero Francisco Manzano-Agugliaro |
| author_sort | Alfredo Alcayde |
| collection | DOAJ |
| description | The arches were a great advance in construction with respect to the rigid Greek linteled architecture. Its development came from the hand of the great Roman constructions, especially with the semicircular arch. In successive historical periods, different types of arches have been emerging, which in addition to their structural function was taking aesthetic characteristics that are used today to define the architectural style. When, in the construction of a bow, the rise is less than half the springing line, the semicircular arch is no longer used and the segmental arch is used, and then on to another more efficient and aesthetic arch, the basket-handle arch. This study examines the classic geometry of the basket-handle arch also called the three-centered arch. A solution is proposed from a constructive and aesthetic point of view, and this is approached both geometrically and analytically, where the relationship between the radius of the central arch and the radius of the lateral arch is minimized. The solution achieved allows the maximum springing line or clear span to be saved with the minimum rise that preserves the aesthetic point of view, since the horizontal thrust of a bow is greater than the relationship between the springing line of the arch and the rise. This solution has been programmed and the resulting software has made it possible to analyse existing arches in historic buildings or constructions to check if their solutions were close or not from both points of view. Thus, it has been possible to verify that in most of the existing arches analyzed, the proposed solution is reached. |
| first_indexed | 2024-04-11T14:04:28Z |
| format | Article |
| id | doaj.art-15e2396faa2d4d80b6ffc6a201973cc2 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T14:04:28Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-15e2396faa2d4d80b6ffc6a201973cc22022-12-22T04:19:57ZengMDPI AGSymmetry2073-89942019-10-011110124310.3390/sym11101243sym11101243Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of ViewAlfredo Alcayde0Cristina Velilla1Carlos San-Antonio-Gómez2Araceli Peña-Fernández3Antonio Pérez-Romero4Francisco Manzano-Agugliaro5Department of Engineering, University of Almeria, ceiA3, 04120 Almeria, SpainDepartment of Ingenieria Agroforestal, Universidad Politécnica de Madrid, Av. De Puerta de Hierro, 28040 Madrid, SpainDepartment of Ingenieria Agroforestal, Universidad Politécnica de Madrid, Av. De Puerta de Hierro, 28040 Madrid, SpainDepartment of Engineering, University of Almeria, ceiA3, 04120 Almeria, SpainGraphic Engineering Department, University of Sevilla, Utrera Road, km 1, 41013 Sevilla, SpainDepartment of Engineering, University of Almeria, ceiA3, 04120 Almeria, SpainThe arches were a great advance in construction with respect to the rigid Greek linteled architecture. Its development came from the hand of the great Roman constructions, especially with the semicircular arch. In successive historical periods, different types of arches have been emerging, which in addition to their structural function was taking aesthetic characteristics that are used today to define the architectural style. When, in the construction of a bow, the rise is less than half the springing line, the semicircular arch is no longer used and the segmental arch is used, and then on to another more efficient and aesthetic arch, the basket-handle arch. This study examines the classic geometry of the basket-handle arch also called the three-centered arch. A solution is proposed from a constructive and aesthetic point of view, and this is approached both geometrically and analytically, where the relationship between the radius of the central arch and the radius of the lateral arch is minimized. The solution achieved allows the maximum springing line or clear span to be saved with the minimum rise that preserves the aesthetic point of view, since the horizontal thrust of a bow is greater than the relationship between the springing line of the arch and the rise. This solution has been programmed and the resulting software has made it possible to analyse existing arches in historic buildings or constructions to check if their solutions were close or not from both points of view. Thus, it has been possible to verify that in most of the existing arches analyzed, the proposed solution is reached.https://www.mdpi.com/2073-8994/11/10/1243aestheticbasket-handle archgeometryoptimumthree-centered arch |
| spellingShingle | Alfredo Alcayde Cristina Velilla Carlos San-Antonio-Gómez Araceli Peña-Fernández Antonio Pérez-Romero Francisco Manzano-Agugliaro Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View Symmetry aesthetic basket-handle arch geometry optimum three-centered arch |
| title | Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View |
| title_full | Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View |
| title_fullStr | Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View |
| title_full_unstemmed | Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View |
| title_short | Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View |
| title_sort | basket handle arch and its optimum symmetry generation as a structural element and keeping the aesthetic point of view |
| topic | aesthetic basket-handle arch geometry optimum three-centered arch |
| url | https://www.mdpi.com/2073-8994/11/10/1243 |
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