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Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems

A method is developed for the determination of the shakedown load factor for elastic, perfectly plastic plane frames subjected to cyclic loading or random loads varying between fixed limits. The essential feature of the method is the employment of an automatic force method of elastic analysis which...

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Main Author: Douglas, Andrew Sholto
Other Authors: Martin, JB
Format: Thesis
Language:English
Published: Department of Civil Engineering 2014
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access_status_str Open Access
author Douglas, Andrew Sholto
author2 Martin, JB
author_browse Douglas, Andrew Sholto
Martin, JB
author_facet Martin, JB
Douglas, Andrew Sholto
author_sort Douglas, Andrew Sholto
collection Thesis
description A method is developed for the determination of the shakedown load factor for elastic, perfectly plastic plane frames subjected to cyclic loading or random loads varying between fixed limits. The essential feature of the method is the employment of an automatic force method of elastic analysis which provides self-stress systems for the frame. This in turn permits the ready formulation of the compatibility requirements which are imposed on plastic hinge rotations. As a result, the analysis proceeds with data input which is comparable to straightforward kinematic analysis. A preliminary study of the generalisation of this approach to the limit analysis of plane stress problems is also given.
format Thesis
id oai:open.uct.ac.za:11427/6914
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:50:02.593Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2014
publishDateRange 2014
publishDateSort 2014
publisher Department of Civil Engineering
publisherStr Department of Civil Engineering
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/6914 Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems Douglas, Andrew Sholto Martin, JB Civil engineering A method is developed for the determination of the shakedown load factor for elastic, perfectly plastic plane frames subjected to cyclic loading or random loads varying between fixed limits. The essential feature of the method is the employment of an automatic force method of elastic analysis which provides self-stress systems for the frame. This in turn permits the ready formulation of the compatibility requirements which are imposed on plastic hinge rotations. As a result, the analysis proceeds with data input which is comparable to straightforward kinematic analysis. A preliminary study of the generalisation of this approach to the limit analysis of plane stress problems is also given. 2014-09-05T12:34:16Z 2014-09-05T12:34:16Z 1977 Master Thesis Masters MSc http://hdl.handle.net/11427/6914 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town
spellingShingle Civil engineering
Douglas, Andrew Sholto
Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems
thesis_degree_str Master's
title Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems
title_full Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems
title_fullStr Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems
title_full_unstemmed Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems
title_short Limit Analysis and Shakedown in Plane Frames and Plane Stress Problems
title_sort limit analysis and shakedown in plane frames and plane stress problems
topic Civil engineering
url http://hdl.handle.net/11427/6914
work_keys_str_mv AT douglasandrewsholto limitanalysisandshakedowninplaneframesandplanestressproblems