Estimating the minimum thickness of earthquaker-resistant vaults and catenary arches by using a hanging chain
This paper presents a procedure for estimating the minimum thickness of vaults and catenary arches to resist seismic in-plane horizontal loading. In order to defne the shapes of the thrust lines that result from combining the self-weight of the arches and horizontal in-plane acceleration, an inverte...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/438900 |
| Acceso en línea: | https://hdl.handle.net/2117/438900 https://dx.doi.org/10.1007/s00004-025-00816-0 |
| Access Level: | acceso abierto |
| Palabra clave: | Arches -- Design and construction -- Mathematical models Vaults (Architecture) -- Earthquake effects Strength of materials -- Testing -- Mathematical models Vaults and catenary arches Thrust line Minimum thickness Hanging chain Seismic loads Arcs (Arquitectura) -- Disseny i construcció -- Models matemàtics Voltes (Arquitectura) -- Efecte dels terratrèmol Resistència de materials -- Tests -- Models matemàtics Àrees temàtiques de la UPC::Edificació |
| Sumario: | This paper presents a procedure for estimating the minimum thickness of vaults and catenary arches to resist seismic in-plane horizontal loading. In order to defne the shapes of the thrust lines that result from combining the self-weight of the arches and horizontal in-plane acceleration, an inverted hanging chain was used. The chain inclines the line by connecting its ends horizontally. Subsequently, iterative calculation help fnd the minimum thickness of the catenary arches with constant section that inscribe the defned thrust lines. This procedure was applied to diferent arches by considering ten values of horizontal acceleration. Consequently, graphs were drawn that relate the horizontal acceleration to the minimum thickness, contingent on the rise/span ratio of each arch, as well as the position of the hinges created in the collapse mechanism. Finally, the application is shown through the intersections of several catenary arches |
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