Next Article in Journal
First Integrals of Two-Dimensional Dynamical Systems via Complex Lagrangian Approach
Next Article in Special Issue
Topological Design Methods for Mecanum Wheel Configurations of an Omnidirectional Mobile Robot
Previous Article in Journal
Approximate Multi-Degree Reduction of SG-Bézier Curves Using the Grey Wolf Optimizer Algorithm
Previous Article in Special Issue
Research Methodology: Application of Railway Luggage and Package Transportation Scheme Formulation Based on a Dynamic Time–Space Service Network
Open AccessArticle

Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View

1
Department of Engineering, University of Almeria, ceiA3, 04120 Almeria, Spain
2
Department of Ingenieria Agroforestal, Universidad Politécnica de Madrid, Av. De Puerta de Hierro, 28040 Madrid, Spain
3
Research Centre CIAIMBITAL, University of Almeria, ceiA3, 04120 Almeria, Spain
4
Graphic Engineering Department, University of Sevilla, Utrera Road, km 1, 41013 Sevilla, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1243; https://doi.org/10.3390/sym11101243
Received: 8 July 2019 / Revised: 1 September 2019 / Accepted: 19 September 2019 / Published: 4 October 2019
(This article belongs to the Special Issue Symmetry in Engineering Sciences II)
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. View Full-Text
Keywords: aesthetic; basket-handle arch; geometry; optimum; three-centered arch aesthetic; basket-handle arch; geometry; optimum; three-centered arch
Show Figures

Graphical abstract

MDPI and ACS Style

Alcayde, A.; Velilla, C.; San-Antonio-Gómez, C.; Peña-Fernández, A.; Pérez-Romero, A.; Manzano-Agugliaro, F. Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View. Symmetry 2019, 11, 1243.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop