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The structural behaviour of masonry vaults: Limit state analysis with finite friction

D'Ayala, DF; Tomasoni, E; (2008) The structural behaviour of masonry vaults: Limit state analysis with finite friction. In: UNSPECIFIED (pp. 47-61).

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The increasing interest in historic architectural heritage and the need for preservation of historical structures has led to the continuous development in the past 20 years of a growing number of methods for the analysis of masonry vaults. This notwithstanding some type of vaults, for instance pavilion vaults and fan vaults, despite their broad use in past centuries, have not been thoroughly studied, mainly due to the difficulty of applying simplified theories to their complex shapes. The major simplification that is usually carried out is to reduce the vault to a series of adjacent arches, without transversal connection. Even though simple and accurate, the arch model does not take into account the interaction between the arches and it is not able to properly simulate the three-dimensional effects in the vaults. Although the results are conservative for uniform load distributions, the model limits substantially the set of loading conditions that can be analysed and hence a thorough assessment of vaults performance. This limitation and the need for a flexible method to study the different types of vaults could be solved by using the concept of the surface of thrust within the framework of limit state analysis. The main object of the present paper is the development of a computational procedure which allows to define the 3D structural behaviour of masonry vaults: using limit state analysis with finite friction, the proposed analytical method, based on lower bound approach, allows to obtain, for a generic type of vault, the actual crack pattern, the stress field and the horizontal thrust at the supports for both gravitational and localized loads. In the present paper the limit state analysis with finite friction has been applied to pavilion vaults. The results obtained are compared with non linear EE. analysis simulations. © 2008 Taylor & Francis Group, London.

Type: Book chapter
Title: The structural behaviour of masonry vaults: Limit state analysis with finite friction
ISBN: 0415468728
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/1369718
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