Analytic structures
Analytic structures
This thesis presents the development of an innovative method for describing the behaviour of steel members under load. It uses a direct solution to a set of six differential equations key to the state of a cross-section of a member. Because the method focuses upon cross-sectional response to loading, it incorporates member deflection and is ideal for use in numerical equation solvers which are becoming more prevalent as personal computing power continues to rise. The six equations are described, a novel method for ascertaining their solutions is introduced and the whole system is set to work. Simulated structures include a family of pinned struts of varying slenderness, and single-span steel portal frames. The method may be used at varying levels of detail, having the flexibility to make use of a selection of stress-strain relationships, and families of struts are tested under a number of these conditions. The results of these simulations are compared and the result best comparable to design code crushing strength is that which carries the most data: a full elastic-plastic-strain-hardening stress strain curve used to simulations which consider the impact of bending moments and thrusts through each cross-section, without neglecting the internal stresses of hot-rolled steel sections. The portal frame computer models are an evolution of the strut simulations, providing a rigorous analysis of a sample frame as well as comparisons with existing design methods. Results from both series of structural model are discussed before future developments of the method and its application to enhanced simulations.
University of Southampton
Lewis, Kenneth Anthony
ceab8034-2a37-4b9c-a965-6d15ec3616a5
2007
Lewis, Kenneth Anthony
ceab8034-2a37-4b9c-a965-6d15ec3616a5
Lewis, Kenneth Anthony
(2007)
Analytic structures.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
This thesis presents the development of an innovative method for describing the behaviour of steel members under load. It uses a direct solution to a set of six differential equations key to the state of a cross-section of a member. Because the method focuses upon cross-sectional response to loading, it incorporates member deflection and is ideal for use in numerical equation solvers which are becoming more prevalent as personal computing power continues to rise. The six equations are described, a novel method for ascertaining their solutions is introduced and the whole system is set to work. Simulated structures include a family of pinned struts of varying slenderness, and single-span steel portal frames. The method may be used at varying levels of detail, having the flexibility to make use of a selection of stress-strain relationships, and families of struts are tested under a number of these conditions. The results of these simulations are compared and the result best comparable to design code crushing strength is that which carries the most data: a full elastic-plastic-strain-hardening stress strain curve used to simulations which consider the impact of bending moments and thrusts through each cross-section, without neglecting the internal stresses of hot-rolled steel sections. The portal frame computer models are an evolution of the strut simulations, providing a rigorous analysis of a sample frame as well as comparisons with existing design methods. Results from both series of structural model are discussed before future developments of the method and its application to enhanced simulations.
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Published date: 2007
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Local EPrints ID: 466473
URI: http://eprints.soton.ac.uk/id/eprint/466473
PURE UUID: 27c5b3f0-dcbf-4e0a-ab95-83b1ad66456e
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Date deposited: 05 Jul 2022 05:18
Last modified: 16 Mar 2024 20:43
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Author:
Kenneth Anthony Lewis
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