Equilibrium of Masonry Vaults

Angelillo, Maurizio; Fortunato, Antonio

doi:10.1007/978-3-540-45287-4_6

Cited by 32 publications

(20 citation statements)

References 4 publications

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“…The method, put forward in by Angelillo, Fortunato in the paper [4], and applied to simple vaults by Angelillo et al in [1] and to spiral stairs by Angelillo in [2], leans on the use of singular stresses concentrated on surfaces (membranes), on the Monge representation through a function f of the membrane surface, and on the Pucher formulation of membrane equilibrium.…”

Section: Resultsmentioning

confidence: 99%

“…If the membrane is made of NT material, the surface stress tensor must be negative semi-definite and (as it is shown in [4]) the matrix itself of the projected stresses must be negative semi-definite. In terms of the stress function F , this condition can be translated into the two conditions:…”

Section: (4)mentioning

confidence: 98%

“…The first to consider membrane equilibrium with Pucher's transformation for NT materials were Angelillo & Fortunato in [4]. If the membrane is made of NT material, the surface stress tensor must be negative semi-definite and (as it is shown in [4]) the matrix itself of the projected stresses must be negative semi-definite.…”

Section: (4)mentioning

confidence: 99%

“…In recent papers by ), the equilibrium of masonry vaults, domes and helical stairs has been studied, by applying a simplified theory of vaults, put forward in [4].…”

Section: Introductionmentioning

confidence: 99%

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Static Analysis of Cross Vaults: The Case of the Cathedral of Casertavecchia

Contestabile¹,

Babilio²,

Fortunato³

et al. 2016

TOBCTJ

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Abstract:In the present paper, on assuming that the material has infinite friction and no cohesion, i.e. it is No-Tension in the sense of Heyman, we study the equilibrium of cross vaults of unequal rise, such as those of some Romanesque and Gothic churches. In particular the case study of the lateral cross vaults of the Cathedral of the old town of Caserta is analyzed. The scope of the paper is not to study in detail and quantitatively any particular vault, rather we give a compressive equilibrium solution (compatible with the unilateral material assumption) for the general case of cross vaults, constructed on arches of unequal rise, and loaded by a uniform load.For the purpose of the structural analysis, the vault is modelled as a thin shell made of Rigid No-Tension material. The webs of the vault that we consider, are supported on two crossing ribs. To obtain the axial force inside the ribs, equilibrated and singular stress fields (that is stress fields concentrated on curves and balanced with the loads) are constructed.An estimate of the thrust forces transmitted by the vault to the peripheral arches and walls is also obtained, so that the stability of these structures can be checked.

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Section: Resultsmentioning

confidence: 99%

Section: (4)mentioning

confidence: 98%

Section: (4)mentioning

confidence: 99%

“…In recent papers by ), the equilibrium of masonry vaults, domes and helical stairs has been studied, by applying a simplified theory of vaults, put forward in [4].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static Analysis of Cross Vaults: The Case of the Cathedral of Casertavecchia

Contestabile¹,

Babilio²,

Fortunato³

et al. 2016

TOBCTJ

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“…Several authors of the Italian school of Structural Mechanics has divulgated and extended such model [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The analysis of masonry-like materials can be conducted within the frame of limit analysis, specifically by applying the static and kinematic theorems on the basis of admissible stress and strain fields (see [18]).…”

Section: Introductionmentioning

confidence: 99%

Advanced Models for the Limit Analysis of Masonry Structures

Fortunato¹,

Chiara²,

Angelillo³

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. We formulate a novel procedure for the limit analysis of masonry structures subject to horizontal loads. The proposed approach works in the framework of free discontinuity methods, on examining collapse mechanisms that exhibit free crack opening discontinuities. Numerical examples illustrate the practical application of the proposed procedure to the limit analysis of masonry structures subject to seismic actions, within a conventional static approach. 3716

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