Within the context of lower bound theorem classical limit analysis, collapse stone masonry arches and domes characterized by finite friction uncertain compressive strength is addressed. Self-weight considered, along with a live point load applied at crown. A multi-constrained funicular approach based on concept force densities implemented to provide maximum static multiplier for any assigned value coefficient strength. The numerical method, which takes into full account stereotomy blocky...

This paper aims to illustrate and compare different approaches for the limit analysis of masonry domes revolution with an oculus at top. It specifically focuses on influence limited compressive tensile strength bearing capacity dome. The first assessment is conducted through a semi-analytical formulation that revisits Durand-Claye’s method within framework lower bound theorem analysis. second investigation performed using kinematic approach, which allows closed-form solutions by exploiting...

Abstract This study, framed within the context of lower bound theorem limit analysis, aims to assess anti-funicular equilibrium masonry arches and domes using a computational approach based on constrained force density method. In contrast commonly adopted classical Heyman’s assumptions, proposed here considers effects finite compressive strength in material. Assuming fixed plan projection for network with independent sets branches, suitable set local constraints is enforced at each joint...

This paper addresses the long-standing problem of equilibrium circular, pointed, and elliptical arches commonly found in historical masonry buildings bridges that are subjected to their own weight superimposed walls. The is studied by applying two different complementary methods: first a simple extension analytical re-reading Durand-Claye stability area method; second based on application nonlinear elastic one-dimensional model, already used authors previous studies. It assumed arch's...

The paper presents a multidisciplinary approach for diagnosing the structural stability of Takiyya Ibrahim al-Gulshani in Historic Cairo using geometric and architectural documentation, field survey, laboratory tests, numerical analyses under static seismic conditions. Takiyya, built during Mamluk period, is an important medieval complex Egypt has undergone multiple renovations. field-testing includes geotechnical geophysical investigations to evaluate properties bearing soil beneath...

The funicular analysis of curved masonry structures is addressed, considering the stereotomy voussoirs, a limited compressive strength, and friction coefficient. force density method used to handle equilibrium loaded nodes network, whose vertices lie along vertical lines passing through centroids blocks. For resulting grid with fixed plan projection, minimization horizontal thrusts formulated in terms height restrained any set independent densities. Anti-funicular networks are sought by...

Abstract. This paper aims to illustrate the preliminary results of a research project on dome Pisa Cathedral (Italy). The final objective present is achieve deep understanding structural behaviour dome, through detailed knowledge its geometry and constituent materials, by taking into account historical architectural aspects as well. A reliable survey essential starting point for any further investigation adequate modelling. Examination status quo surveys shows that suitable analysis in fact...

This study aims to provide an integrated understanding of archaeological findings by evaluating reconstruction hypotheses from a technological and structural perspective, focusing on the Tholos Athena Pronaia in Delphi, prime example 4th 3rd-century BC Greek architecture. Archaeological research primarily focuses proportional rules decorative aspects. The original roof configuration remains uncertain despite its architectural significance characteristic interlocking marble tiles....

The load-bearing capacity of selected case studies domes belonging to the architectural heritage is evaluated by means two different semi-analytical approaches framed in context limit analysis. first method a static approach known as "Durand-Claye method" or "stability area method", and second kinematic that combines virtual power principle with upper bound theorem fundamentals these methods were presented previous works authors, under hypotheses about strength masonry. Building on this...

In order to correctly define the pathology of multiple-leaf stonemasonry walls and determine appropriate interventions for its conservation preservation, comprehensive studies on building materials should be carried out since overall behaviour masonry structures is highly dependent characterization construction materials. Consequently, an interdisciplinary procedure material used in stone-masonry Egypt has been implemented enrich documentation, restoration issues this type wall. The research...

Abstract. This contribution is the first step of a multi-disciplinary research project, aimed at studying roof tholos Athena Pronaia in Delphi, dating back to decades 4th century BC. The starting point this fascination exerted by tectonic quality temple, comprising some complex fragments marble tiles belonging tholos. Despite number studies on sanctuary, poor state preservation and lack original material did not allow archaeologists perform concluding its configuration, particular with...

The present contribution illustrates the results obtained to date on an ongoing research study of mechanical response and load capacity dome Pisa Cathedral. A well-known feature structural modelling is that it requires reliable data actual shape material properties structure in question. Moreover, a comprehensive account relevant historical architectural aspects needed as well. Hence, starting point our work consisted high-density, precision surveys. Both range-based (laser scanning)...

In this contribution a modern reinterpretation of Durand-Claye's method (Durand-Claye, 1880) is presented with the aim checking equilibrium masonry domes revolution characterized by different shapes.The investigation addressed to spherical and pointed domes, conceived as assemblages rigid blocks, subject symmetrical load conditions.Heyman's hypotheses are adopted.The complex graphical construction translated into an analytical in terms axial force bending moment.Furthermore, action hoop...

This research can be viewed as a development of the critical review Monasterio's manuscript Nueva teórica sobre el empuje de bóvedas, proposed by authors in previous studies; this unpublished is devoted to collapse nonsymmetric masonry arches, modeled an assemblage rigid voussoirs, infinitely resistant compression, and characterized nil strength tension finite friction. As its starting point, current work examines conditions identified Monasterio for activation pure sliding mechanism: his...

Multi-leaf stone masonry walls are a typical construction technique in architectural heritage Egypt. The assessment, modeling, and strengthening of historic multi-leaf systems essentially require suitable knowledge their technology, typology, geometrical characteristics, the properties components. Within current research project, comprehensive structural survey multiple-leaf medieval buildings Cairo was performed. observation statistical analyses allowed characterization transversal section...