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Constant stress arches and their design space
It is generally accepted that an optimal arch has a funicular (moment-less) form and least weight. However, the feature of least weight restricts the design options and raises the question of durability of such structures. This study, building on the analytical form-finding approach presented in Lew...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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The Royal Society
2022
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8727150/ https://www.ncbi.nlm.nih.gov/pubmed/35153608 http://dx.doi.org/10.1098/rspa.2021.0428 |
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author | Lewis, Wanda J. |
author_facet | Lewis, Wanda J. |
author_sort | Lewis, Wanda J. |
collection | PubMed |
description | It is generally accepted that an optimal arch has a funicular (moment-less) form and least weight. However, the feature of least weight restricts the design options and raises the question of durability of such structures. This study, building on the analytical form-finding approach presented in Lewis (2016. Proc. R. Soc. A 472, 20160019. (doi:10.1098/rspa.2016.0019)), proposes constant axial stress as a design criterion for smooth, two-pin arches that are moment-less under permanent (statistically prevalent) load. This approach ensures that no part of the structure becomes over-stressed under variable load (wind, snow and/or moving objects), relative to its other parts—a phenomenon observed in natural structures, such as trees, bones, shells. The theory considers a general case of an asymmetric arch, deriving the equation of its centre-line profile, horizontal reactions and varying cross-section area. The analysis of symmetric arches follows, and includes a solution for structures of least weight by supplying an equation for a volume-minimizing, span/rise ratio. The paper proposes a new concept, that of a design space controlled by two non-dimensional input parameters; their theoretical and practical limits define the existence of constant axial stress arches. It is shown that, for stand-alone arches, the design space reduces to a constraint relationship between constant stress and span/rise ratio. |
format | Online Article Text |
id | pubmed-8727150 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-87271502022-02-11 Constant stress arches and their design space Lewis, Wanda J. Proc Math Phys Eng Sci Research Articles It is generally accepted that an optimal arch has a funicular (moment-less) form and least weight. However, the feature of least weight restricts the design options and raises the question of durability of such structures. This study, building on the analytical form-finding approach presented in Lewis (2016. Proc. R. Soc. A 472, 20160019. (doi:10.1098/rspa.2016.0019)), proposes constant axial stress as a design criterion for smooth, two-pin arches that are moment-less under permanent (statistically prevalent) load. This approach ensures that no part of the structure becomes over-stressed under variable load (wind, snow and/or moving objects), relative to its other parts—a phenomenon observed in natural structures, such as trees, bones, shells. The theory considers a general case of an asymmetric arch, deriving the equation of its centre-line profile, horizontal reactions and varying cross-section area. The analysis of symmetric arches follows, and includes a solution for structures of least weight by supplying an equation for a volume-minimizing, span/rise ratio. The paper proposes a new concept, that of a design space controlled by two non-dimensional input parameters; their theoretical and practical limits define the existence of constant axial stress arches. It is shown that, for stand-alone arches, the design space reduces to a constraint relationship between constant stress and span/rise ratio. The Royal Society 2022-01 2022-01-05 /pmc/articles/PMC8727150/ /pubmed/35153608 http://dx.doi.org/10.1098/rspa.2021.0428 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Research Articles Lewis, Wanda J. Constant stress arches and their design space |
title | Constant stress arches and their design space |
title_full | Constant stress arches and their design space |
title_fullStr | Constant stress arches and their design space |
title_full_unstemmed | Constant stress arches and their design space |
title_short | Constant stress arches and their design space |
title_sort | constant stress arches and their design space |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8727150/ https://www.ncbi.nlm.nih.gov/pubmed/35153608 http://dx.doi.org/10.1098/rspa.2021.0428 |
work_keys_str_mv | AT lewiswandaj constantstressarchesandtheirdesignspace |