Pichugin, A.V., Tyas, A. and Gilbert, M. (2012) On the optimality of Hemp’s arch with vertical hangers. Structural and Multidisciplinary Optimization, 46 (1). 17 - 25. ISSN 1615-147X
Abstract
In 1974 W. S. Hemp constructed a prototype structure to carry a uniformly distributed load between two pinned supports. Although Hemp’s structure had a significantly lower volume than a parabolic arch with vertical hangers, it was shown to fail the Michell optimality criteria, and therefore to be non-optimal. In this paper we demonstrate that if limiting compressive and tensile stresses are unequal then Hemp’s structure is optimal for the half-plane provided the ratio of limiting tensile to compressive stresses falls below a certain threshold. An analytical proof is presented and the finding is confirmed by results from large scale numerical layout optimization simulations.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2012 Springer. This is an author produced version of a paper subsequently published in Structural and Multidisciplinary Optimization. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 07 May 2014 13:52 |
Last Modified: | 04 Nov 2016 02:18 |
Published Version: | http://dx.doi.org/10.1007/s00158-012-0769-5 |
Status: | Published |
Publisher: | Springer |
Refereed: | Yes |
Identification Number: | 10.1007/s00158-012-0769-5 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:78784 |