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Constant stress arches and their design space
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Lewis, W. J. (Wanda J.) (2022) Constant stress arches and their design space. Proceedings of the Royal Society A, 478 (2257). 20210428. doi:10.1098/rspa.2021.0428 ISSN 1471-2946.
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Official URL: https://doi.org/10.1098/rspa.2021.0428
Abstract
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.
Item Type: | Journal Article | ||||||||
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Subjects: | T Technology > TA Engineering (General). Civil engineering (General) | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
SWORD Depositor: | Library Publications Router | ||||||||
Library of Congress Subject Headings (LCSH): | Arches -- Design and construction, System design, Strains and stresses, Structural design, Structural engineering, Structural analysis (Engineering) | ||||||||
Journal or Publication Title: | Proceedings of the Royal Society A | ||||||||
Publisher: | The Royal Society | ||||||||
ISSN: | 1471-2946 | ||||||||
Official Date: | 26 January 2022 | ||||||||
Dates: |
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Volume: | 478 | ||||||||
Number: | 2257 | ||||||||
Article Number: | 20210428 | ||||||||
DOI: | 10.1098/rspa.2021.0428 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 11 January 2022 | ||||||||
Date of first compliant Open Access: | 12 January 2022 | ||||||||
RIOXX Funder/Project Grant: |
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