A novel graphical assessment approach for compressed curved structures under vertical loading

Olivieri, Carlo; Adriaenssens, Sigrid; Cennamo, Claudia

doi:10.1177/09560599231161424

Cited by 3 publications

(2 citation statements)

References 44 publications

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“…Significant applications on spiral stairs by [12,48] showcase advanced computational strategies and consideration of non-trivial load conditions. The interest in methods based on the lower bound theorem of limit analysis is demonstrated by recent contributions like [44,45], performing limit analysis of masonry domes subjected to pseudo-static seismic forces, including graphical equilibrium methods such as the one provided by [49], basing its analysis on the safe theorem proposed by Heyman.…”

Section: From Graphic Statics To the Modern Funicular Approachesmentioning

confidence: 99%

Limit analysis of masonry arches and domes with finite strength: funicular analysis versus stability area method

Aita,

Bruggi,

Taliercio

2024

Meccanica

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This study, framed within the context of the lower bound theorem of limit analysis, aims to assess the anti-funicular equilibrium of masonry arches and domes using a computational approach based on the constrained force density method. In contrast to the commonly adopted classical Heyman’s assumptions, the approach proposed here considers the effects of finite compressive strength in the material. Assuming a fixed plan projection for a network with independent sets of branches, a suitable set of local constraints is enforced at each joint to account for the limit bending moment resulting from the material’s assumptions, including limited compressive strength and zero tensile strength. Additionally, the stereotomy of the voussoirs is considered by assigning a geometric law to the joint inclination. The collapse load is determined by formulating a multi-constrained maximization problem. The method is validated using a modern version of the semi-analytical Durand-Claye’s method. For benchmark case studies, such as symmetric masonry arches and domes with specific stereotomies subjected to axi-symmetrical load conditions, the set of statically admissible solutions compatible with equilibrium and strength requirements is graphically determined in terms of the horizontal thrust and its eccentricity at the crown, examining the shape of the stability area. Assuming an infinite value for the friction coefficient, the collapse condition is reached when the stability area shrinks to a single point. The results obtained from both of these methods are in excellent agreement. The influence of compressive strength on the bearing capacity of the structures is also discussed.

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Section: From Graphic Statics To the Modern Funicular Approachesmentioning

confidence: 99%

Limit analysis of masonry arches and domes with finite strength: funicular analysis versus stability area method

Aita,

Bruggi,

Taliercio

2024

Meccanica

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“…As testified by a broad literature [12,35,36], geometry affects the behaviour of a completed structure as well as during construction works [18]. In historical self-supporting techniques, two geometrical CFs assume a prominent role: the stereotomy and the bed joint's orientation, both of which affect the state during construction works.…”

Section: Geometrical Factorsmentioning

confidence: 99%

A Systemic Approach to Simulate the Construction Process of Self-Supporting Masonry Structures

et al. 2023

Self Cite

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The building sector has a significant impact on the environment due to its unproductive and technologically outdated practices. Although digital tools have emerged as potential solutions, current building practices often lack automation and efficiency. Throughout history, several self-supporting techniques, i.e., construction methods dedicated to the building of shells that do not need support during the construction works, have been developed. These techniques allow for reducing waste and minimizing construction costs. Combining self-supporting techniques and digital tools could aid the development of contemporary, highly sustainable, and efficient building practices that permit the use of alternative and sustainable materials. Building on this, the research conducted defines an approach for evaluating the balanced state of masonry structures during construction works and built using robotic technologies. The approach considers the factors that govern the stability under construction derived through studying self-supporting building techniques. The proposed approach assesses the structural state under construction, evaluating the need for temporary supports. An example of a masonry arch is provided to emphasize the importance of construction factors in sustainable building practices. Then the method is applied to a real case study. Overall, integrating self-supporting techniques with digital tools has the potential to revolutionize the building sector, and create highly sustainable and efficient practices.

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Structural behavior of stone cantilever stairs: Strain monitoring under controlled loading and numerical modeling

D'Altri,

Jin,

Chen

et al. 2024

Journal of Building Engineering

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A novel graphical assessment approach for compressed curved structures under vertical loading

Cited by 3 publications

References 44 publications

Limit analysis of masonry arches and domes with finite strength: funicular analysis versus stability area method

Limit analysis of masonry arches and domes with finite strength: funicular analysis versus stability area method

A Systemic Approach to Simulate the Construction Process of Self-Supporting Masonry Structures

Structural behavior of stone cantilever stairs: Strain monitoring under controlled loading and numerical modeling

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