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Title: Form-finding of arch structures
Author: Pournaghshband, Asal
ISNI:       0000 0004 6062 013X
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2016
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: TA Engineering (General). Civil engineering (General)