Equilibrium of Masonry Sail Vaults: The Case Study of a Subterranean Vault by Antonio da Sangallo the Elder in the “Fortezza Vecchia” in Livorno

Benelli, Francesco; Barsotti, Riccardo; Bennati, Stefano

doi:10.1007/978-3-030-41057-5_166

Cited by 8 publications

(8 citation statements)

References 8 publications

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“…A spherical shape has been chosen a priori as approximating surface. The search for the optimal parameters values has been performed by means of a simplified numerical optimization procedure, illustrated in [1]. The ideal surface thusly determined, which turned to be very close to the survey points, is a sphere of 5.5-meter radius.…”

Section: The Structural Scheme Of the Sail Vaultmentioning

confidence: 99%

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Studying a Masonry Sail Vault by Antonio da Sangallo the Elder in the Fortezza Vecchia in Livorno

Benelli¹,

Aita²,

Barsotti³

et al. 2021

12th International Conference on Structural Analysis of Historical Constructions

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The present contribution aims to illustrate some first results obtained from ongoing research on a 16th-century masonry sail vault in the Fortezza Vecchia (the Old Fortress) in Livorno (Italy). A multidisciplinary research is currently ongoing. The information collected by means of geometric surveys and experimental tests are being used as input data for the different analytical and numerical models expressly developed to study the vault's structural response. The structural analysis has been performed using two analytical models set within the framework of limit analysis. The first considers the vault as a thin shell, and suitable sets of statically admissible stresses are built; the second model is a modern reinterpretation of Durand-Claye's method for domes. As an additional term of comparison, numerical analyses are carried out by means of FE models. The study is still under development, and a first set of results has been obtained by limiting the analysis to vertical loads accounting for the self-weight of the vault and that of the overlying soil layers.

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Section: The Structural Scheme Of the Sail Vaultmentioning

confidence: 99%

“…The study is framed within a research project (PRA 2017 -"Tuscan Renaissance architecture: case studies between historical investigation, survey and structural analysis"), promoted by the University of Pisa. Some results obtained in the first phase of the research are illustrated in [1][2].…”

Section: Introductionmentioning

confidence: 99%

Studying a Masonry Sail Vault by Antonio da Sangallo the Elder in the Fortezza Vecchia in Livorno

Benelli¹,

Aita²,

Barsotti³

et al. 2021

12th International Conference on Structural Analysis of Historical Constructions

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“…The algorithm also allows for calculating the material properties of fresh mortar, which change during construction. A further application of limit analysis to sail vaults is provided in another contribution within the same research project as the current paper [19]. In this case, the search for the lower-bounds estimate of the safety factor is conducted by considering the vault as a thin shell endowed with suitable membrane and bending stress fields.…”

Section: Structural Analysis Of Sail Vaults: a Brief Overviewmentioning

confidence: 99%

“…2), and a representative subset of points has been selected. The "best" approximating smooth surface was then determined through a minimization routine in Mathematica®, described in more detail in [19].…”

Section: Geometrical and Mechanical Parameters Characterizing The Sail Vault In Fortezza Vecchiamentioning

confidence: 99%

“…The final objective of the present research project is to describe the structural behaviour of sail vaults by taking into account their geometrical and mechanical parameters, as well as construction aspects. At the present stage, analytical models have been developed based on limit analysis (review of the Durand-Claye method [3][4][5][6], identification of statically admissible stress fields [19,20]). Deeper analyses will be performed in following stages.…”

Section: Geometrical and Mechanical Parameters Characterizing The Sail Vault In Fortezza Vecchiamentioning

confidence: 99%

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Equilibrium Analysis of a Sail Vault in Livorno’s Fortezza Vecchia Through a Modern Re-edition of the Stability Area Method

Aita

Barsotti

Bennati

2020

Lecture Notes in Mechanical Engineering

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The present paper aims at performing a preliminary study of the mechanical response of a sail vault covering a trapezoidal room located in the Cavaniglia bastion of Fortezza Vecchia in Livorno. In particular, admissible stress fields within the vault have been determined by considering the weight of the vault itself and that of the overlying soil layers. The analysis has been conducted by means of a re-visitation of the stability area method, an interesting historical method proposed by Durand-Claye. The method is suitably extended in order to assess the stability of an entire dome under the assumption of nil tensile hoop forces.

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Admissible shell internal forces and safety assessment of masonry domes

Benelli

Barsotti

Bennati

2023

International Journal of Solids and Structures

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Equilibrium of Masonry Sail Vaults: The Case Study of a Subterranean Vault by Antonio da Sangallo the Elder in the “Fortezza Vecchia” in Livorno

Cited by 8 publications

References 8 publications

Studying a Masonry Sail Vault by Antonio da Sangallo the Elder in the Fortezza Vecchia in Livorno

Studying a Masonry Sail Vault by Antonio da Sangallo the Elder in the Fortezza Vecchia in Livorno

Equilibrium Analysis of a Sail Vault in Livorno’s Fortezza Vecchia Through a Modern Re-edition of the Stability Area Method

Admissible shell internal forces and safety assessment of masonry domes

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