A limit analysis approach for masonry domes: the basilica of San Francesco di Paola in Naples

Cennamo, Claudia; Cusano, Concetta; Angelillo, Maurizio

doi:10.1504/ijmri.2019.100568

Cited by 14 publications

(8 citation statements)

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“…Extensive investigations have been carried out to determine the structural safety of historical masonry domes using theoretical and experimental methods in the literature. Theoretical and experimental investigations implemented on the historical masonry domes can be summarized as follows: (i) theoretical studies under static loads , 1,9,11,13,22–60 (ii) theoretical studies under dynamic loads , 8,61–65 (iii) model tests in laboratory , 66–70 (iv) in situ tests . 71–78…”

Section: Work On the Safety And Strengthening Of Masonry Domesmentioning

confidence: 99%

Strengthening techniques for masonry domes: A review

Bayraktar

Bayraktar²,

Hökelekli

2022

International Journal of Space Structures

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Historical masonry domes are an important part of the architectural and engineering heritage in the World. They have been extensively used to cover the spaces of temples, mausoleums, palaces, forts, baths, churches, mosques, etc. Damages and collapses of masonry domes occurred as a result of earthquakes or lack of maintenance. Therefore, many efforts have been devoted to clarifying the theoretical and experimental responses of masonry domes by researchers. In addition to traditional techniques, significant developments have been achieved on the strengthening of masonry domes using innovative techniques. The study firstly presents a complete review on the state of knowledge about theoretical and experimental responses and strengthening of masonry domes under static and dynamic loads. Then crack patterns and failure mechanisms of masonry domes are explained, and traditional and innovative strengthening techniques that can be rehabilitated the masonry dome without any harmful intervention or disagreement with conservation principles are introduced and evaluated in detail.

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Section: Work On the Safety And Strengthening Of Masonry Domesmentioning

confidence: 99%

Strengthening techniques for masonry domes: A review

Bayraktar

Bayraktar²,

Hökelekli

2022

International Journal of Space Structures

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“…Several tribunes have been realized inside the tambour, used by the royals to attend religious services. Regular brick walls comprise the tambour structure, which is empty inside, with a circular path along its entire circumference, as shown in Figure 5c,d Figure 6 shows the transverse section of the structure, used in the analyses, and outputs the geometry obtained from earlier studies [2,3]. The analyses performed in this paper consider only the dome's cap (from the angle of 24.80 • ), since it represents the critical part for equilibrium and stability, considering that in the lower portion, in accordance with the circular steps, the thickness increases.…”

Section: Geometrical Parametersmentioning

confidence: 99%

“…The theoretical investigation leans on the case study of San Francesco di Paola in Naples, a large dome in masonry conceived of as an assemblage of rigid blocks and subject to the selfweight action. In previous works, this dome has been investigated, with a particular focus on graphical analysis of the dome [2,3], combined with kinematic analysis [4], to define a range of possible displacements, assessing the relative stability of the structure. The dome safety assessment has been evaluated under horizontal actions in some of these works, by performing a thrust membrane analysis through a tilting test [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Graphical and Analytical Quantitative Comparison in the Domes Assessment: The Case of San Francesco di Paola

et al. 2021

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(1) Methods for checking the condition of monumental masonry structures can still be considered understudied. Among the different approaches available in the literature, the graphical ones have a special role, due to their simplicity and effectiveness. (2) In this work, a 2D method (Thrust Line Analysis (TLA)), the Modified Thrust Line Method (MTLM), and the 3D Membrane Equilibrium Analysis (MEA) method are compared. All methods have the same starting concept: no tensile strength, no sliding between the stone blocks, infinite compressive strength. (3) The methods are compared in terms of stress distribution (for the same—or similar—thrust line), and in terms of the Geometrical Safety Factor ensured. (4) The work shows that these theories, if properly conveyed in a scientific methodology (as many authors are doing currently and have done in the past) demonstrate the effectiveness and the advantages of graphical methods for simple structures.

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“…MEA has been adopted mainly for the assessment of the equilibrium of masonry constructions [20][21][22][23][24], but it is a general tool for computing the stress field on curved membrane surfaces. For example, it has been used for the evaluation of the stress field of soft tissues, such as the human cornea [25].…”

Section: Introductionmentioning

confidence: 99%

From Stress to Shape: Equilibrium of Cloister and Cross Vaults

et al. 2021

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The assessment of the equilibrium and the safety of masonry vaults is of high relevance for the conservation and restoration of historical heritage. In the literature many approaches have been proposed for this tasks, starting from the 17th century. In this work we focus on the Membrane Equilibrium Analysis, developed under the Heyman’s theory of Limit Analysis. Within this theory, the equilibrium of a vault is assessed if it is possible to find at least one membrane surface, between the volume of the vaults, being in equilibrium under the given loads through a purely compressive stress field. The equilibrium of membranes is described by a second order partial differential equation, which is definitely elliptic only when a negative semidefinite stress is assigned, and the shape is the unknown of the problem. The proposed algorithm aims at finding membrane shapes, entirely comprised between the geometry of the vault, in equilibrium with admissible stress fields, through the minimization of an error function with respect to shape parameters of the stress potential, and then, with respect to the boundary values of the membrane shape. The application to two test cases shows the viability of this tool for the assessment of the equilibrium of existing masonry vaults.

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A limit analysis approach for masonry domes: the basilica of San Francesco di Paola in Naples

Cited by 14 publications

References 0 publications

Strengthening techniques for masonry domes: A review

Strengthening techniques for masonry domes: A review

Graphical and Analytical Quantitative Comparison in the Domes Assessment: The Case of San Francesco di Paola

From Stress to Shape: Equilibrium of Cloister and Cross Vaults

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