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Form-finding of arch structures
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Pournaghshband, Asal (2016) Form-finding of arch structures. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3059525~S1
Abstract
In this thesis, the optimal shape of two-pin arches of constant cross-section is found analytically using a novel form-finding technique. To find the purely compressed arches built of masonry and concrete material, the state of static equilibrium is applied. As the main finding, the momentless two-pin arch shape is derived for the arches with any span-to-height ratio subjected to its self-weight (SW) and uniformly distributed load (UDL). The contribution of using momentless arches is shown through comparing their maximum displacements to those of parabolic shape. The first failure of the cross-section of the momentless and parabolic arches was then compared for the same loading. This work is conducted practising the knowledge of arch response to loading as a function of the chosen form. In this regard, a comprehensive study of the behaviour of different arch shapes considering different ratios of uniformly distributed load to self-weight (UDL:SW) is also carried out. The ideal common arch shape is investigated for minimum combined axial and bending stresses using the commercial software GSA. The optimal range of span-to-height ratio of common two-pin arch shapes is also suggested. In general, the best arch performance is exhibited for the parabolic and catenary arch with span-to-height ratios between 2–4 when UDL:SW≥1 and UDL:SW<1 respectively. However, the circular arch demonstrates the least desirable performance with the optimum range of span-to-height ratio between 4–6. Moreover, approximate methods of two-pin arch analysis are evaluated, including the masonry design method and virtual work method suggested by Megson (2006). The effect of the assumptions made by these methods on the result of analysing two-pin arches is investigated through comparing their results to those obtained by the second theorem of Castigliano, including full structural action and the GSA results.
Item Type: | Thesis (PhD) | ||||
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Subjects: | T Technology > TA Engineering (General). Civil engineering (General) | ||||
Library of Congress Subject Headings (LCSH): | Structural engineering., Structural design., Structural analysis (Engineering). | ||||
Official Date: | May 2016 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | School of Engineering | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Karavasilis, Theodore L. | ||||
Extent: | xx, 231 leaves : illustrations. | ||||
Language: | eng |
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