From Stress to Shape: Equilibrium of Cloister and Cross Vaults

Montanino, Andrea; Olivieri, Carlo; Zuccaro, Giulio; Angelillo, Maurizio

doi:10.3390/app11093846

Cited by 18 publications

(8 citation statements)

References 30 publications

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“…The method applied in this paper is the so-called membrane equilibrium analysis (MEA), originated in the paper on vaults (27) and further developed in (28). MEA is a general tool for computing the stress field on curved membrane surfaces (41), and it has also been adopted recently by the authors to assess the equilibrium of masonry domes (32)(33)(34)(35)(36)(37)(38)(39)(40)(41)(42)(43)(44)(45)(46). In the present work, we essentially used the ideas put forward in (33,47), by applying the method to open-well staircases, treated as cloister masonry vaults.…”

Section: Conclusion and Resultsmentioning

confidence: 99%

La escalera de ojo abierto del Palacio Di Majo en Nápoles entre geometría y equilibrio

Zerlenga

Cennamo²,

Cusano³

et al. 2022

infconstr

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Las escaleras representan una de las más imponentes expresiones arquitectónicas del edificio. Varios autores han presentado muchas publicaciones a lo largo de los años sobre este tema para entender cómo han sido diseñadas y cómo se sostienen. Este trabajo se trata sobre un tipo específico de escalera de albañilería, conocida como escalera “de ojo abierto” o “a la romana”. El objetivo es demostrar que en las escaleras con bóvedas de fábrica existe una estrecha relación entre la forma y su comportamiento estático. La geometría y la construcción son imprescindibles para su estabilidad. Los autores han demostrado esta tesis estudiando la escalera de ojo abierto del Palacio Di Majo en Nápoles, cuya estructura principal está constituida por bóvedas de toba. La primera parte del artículo presenta una descripción detallada de las características geométricas y arquitectónicas de la escalera. La segunda parte, explica el equilibrio de estas escaleras a partir de la teoría del equilibrio de estructuras de fábrica de Heyman.

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Section: Conclusion and Resultsmentioning

confidence: 99%

La escalera de ojo abierto del Palacio Di Majo en Nápoles entre geometría y equilibrio

Zerlenga

Cennamo²,

Cusano³

et al. 2022

infconstr

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“…The challenge of finding equilibrated solutions for non-tensile materials has led to the development of increasingly advanced models based on the definition of a unilateral membrane entirely contained within the thickness of the masonry structure. This approach was first adopted for the analysis of masonry vaults in [22] (also see [23][24][25]) and then successfully used for the analysis of helical staircases in [26,27]. García Ares in [28] proposed a solution for spiral staircases by considering that longitudinal thrust lines interact with the transversal funicular curves that convey the vertical loads through the supporting walls.…”

Section: Current State Of the Researchmentioning

confidence: 99%

Masonry Spiral Stairs: A Comparison between Analytical and Numerical Approaches

et al. 2022

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The present paper applies the Linear Arch Static Analysis (LASA), which models the masonry material as unilateral, i.e., No-Tension material in the sense of Heyman, and the Safe Theorem of the Limit Analysis to the study of masonry spiral stairs. A comparison is made with a refined FE analysis of the same problem, obtained by means of the ANSYS Parametric Design Language (APDL). The objective is to prove that LASA can be a valid alternative to other more complex numerical methods, such as FE, especially when the modeling parameters, such as the boundary conditions, cannot be exactly defined. The case study of a small spiral staircase placed in the tower of Nisida, a small island close to Naples, Italy is taken into consideration. The results show that the LASA analysis provides results that fall within two limit FE cases in terms of stress and overall thrust, providing at the same time a meaningful insight into the equilibrium state of the structure.

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“…The collapse load is evaluated as the maximum load for which at least a statically admissible and equilibrated solution exists. Examples of applications of the Static theorem on masonry buildings are provided in (Monaco et al, 2018;Cusano et al, 2021a;Nodargi and Bisegna, 2021a;Cusano et al, 2021b;Cusano et al, 2021c;Montanino et al, 2021;Montanino et al, 2022). These mechanical-based approaches allow for numerically computing the collapse load of specific masonry structures and are independent of specific seismic events.…”

Section: Introductionmentioning

confidence: 99%

Energy-based modelling of in-plane fragility curves for the 2D ultimate capacity of Italian masonry buildings

Perelli

Gregorio²,

Montanino³

et al. 2023

Front. Built Environ.

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The high seismic hazard of the Italian territory and the vulnerability of its historic masonry heritage require the development of fragility curves that must be increasingly reliable and robustly correlated to exposure. To date, national-scale seismic risk analyses mainly use empirical curves derived from the statistical analysis of damage induced by past events. These curves have shown good reliability, but they correlate only with a few typological-structural characteristics of the building, such as the number of floors, the vertical structure typology or the construction period. The present research paper aims to overcome this limitation with a hybrid approach that provides a better exposure characterisation. Specifically, the proposed strategy integrates the SAVE and Piecewise Rigid Displacement (PRD) methods. SAVE is an empirical approach based on the damage assessment due to past seismic events used to identify a seismic behaviour of a structure, while the PRD method is a numerical approach that solves the boundary value problem for normal, rigid, no-tension material. It can model different structural typologies, and as a result, it also provides the value of the horizontal static multiplier that drives the masonry construction to collapse. An extended numerical campaign is carried out considering a sample of 750 masonry buildings distributed throughout the Italian territory and extracted from the PLINIVS typological database. Looking at each construction, first, a PRD analysis is conducted to define its seismic capacity, paying special attention to modelling construction details. After that, the SAVE method is used to classify the construction in a specific seismic vulnerability class, i.e., from A to C, with decreasing vulnerability. All the buildings belonging to the same class are then collected, and three fragility curves representative of the collapse state (one for each vulnerability class) are derived and validated against empirical and analytical ones commonly adopted in the Literature. The integrated methodology shows a good agreement between simulations and observations, confirming the viability of the proposed hybrid methodology for the large-scale assessment of masonry buildings, providing an effective strategy to plan mitigation and rehabilitation interventions.

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From Stress to Shape: Equilibrium of Cloister and Cross Vaults

Cited by 18 publications

References 30 publications

La escalera de ojo abierto del Palacio Di Majo en Nápoles entre geometría y equilibrio

La escalera de ojo abierto del Palacio Di Majo en Nápoles entre geometría y equilibrio

Masonry Spiral Stairs: A Comparison between Analytical and Numerical Approaches

Energy-based modelling of in-plane fragility curves for the 2D ultimate capacity of Italian masonry buildings

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