Limit equilibrium analysis and the minimum thickness of circular masonry arches to withstand lateral inertial loading

Alexakis, Haris; Makris, Nicos

doi:10.1007/s00419-014-0831-4

Cited by 52 publications

(25 citation statements)

References 16 publications

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“…The lower bound tilting plane analysis utilized by DeJong (2009) produced results in agreement with the upper bound results previously obtained by Clemente (1998) and Oppenheim (1992). Additionally, the kinematic theorem with lateral loading has been validated both numerically and experimentally (Dimitri and Tornabene 2015;Alexakis and Makris 2014;De Luca et al 2004;Ochsendorf 2002); which in turn argues the validity of the tilting plane analysis for the kinematic theorem.…”

Section: Introductionsupporting

confidence: 82%

Seismic capacity and multi-mechanism analysis for dry-stack masonry arches subjected to hinge control

Stockdale

Sarhosis

2019

Bull Earthquake Eng

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Masonry arches are vulnerable to seismic actions. Over the last few years, extensive research has been carried out to develop strategies and methods for their seismic assessment and strengthening. The application of constant horizontal accelerations to masonry arches is a well-known quasi-static method, which approximates dynamic loading effects and quantifies their stability, while tilting plane testing is a cheap and effective strategy for experimentation of arches made of dry-stack masonry. Also, the common strengthening techniques for masonry arches are mainly focusing on achieving full strength of the system rather than stability. Through experimentation of a dry-stack masonry arch it has been shown that the capacity of an arch can be increased, and the failure controlled by defining hinge positions through reinforcement. This paper utilizes experimentally obtained results to introduce:(1) static friction and resulting mechanisms; and (2) the post-minimum mechanism reinforcement requirements into the two-dimensional limit analysis-based kinematic collapse load calculator (KCLC) software designed for the static seismic analysis of dry-stack masonry arches. Computational results are validated against a series of experimental observations based on tilt plane tests and good agreement is obtained. Discrete Element models to represent the masonry arch with different hinge configurations are also developed to establish a validation trifecta. The limiting mechanism to activate collapse of arches subjected to hinge control is investigated and insights into the optimal reinforcement to be installed in the arch are derived. It is envisaged that the current modelling approach can be used by engineers to understand stability under horizontal loads and develop strengthening criteria for masonry arches of their care.

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Section: Introductionsupporting

confidence: 82%

Seismic capacity and multi-mechanism analysis for dry-stack masonry arches subjected to hinge control

Stockdale

Sarhosis

2019

Bull Earthquake Eng

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“…In the case of monolithic stone springer, the result of the reaction is the composition between the horizontal thrust and its weight. In order to avoid slipping and to avoid that the resultant one is in the line of the angle, the stones that compose the abutment were inclined to a certain angle in a When friction is high (µ > 0.7), as is the case with limestone including marble, the stones that make up the arch (voussoir) do not slide between them, and the supports receive high compressive loads that can induce plastic deformations [20]. Basket-handle arches are lowered arches, which would collapse due to the sinking of the keystone (central part of the arch, see Figure 8), and the tilting of the lower sides towards the outside of the arch, a problem that can be solved by filling or solidifying this area.…”

Section: Basket-handle Arch In Architecturementioning

confidence: 99%

Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View

et al. 2019

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The arches were a great advance in construction with respect to the rigid Greek linteled architecture. Its development came from the hand of the great Roman constructions, especially with the semicircular arch. In successive historical periods, different types of arches have been emerging, which in addition to their structural function was taking aesthetic characteristics that are used today to define the architectural style. When, in the construction of a bow, the rise is less than half the springing line, the semicircular arch is no longer used and the segmental arch is used, and then on to another more efficient and aesthetic arch, the basket-handle arch. This study examines the classic geometry of the basket-handle arch also called the three-centered arch. A solution is proposed from a constructive and aesthetic point of view, and this is approached both geometrically and analytically, where the relationship between the radius of the central arch and the radius of the lateral arch is minimized. The solution achieved allows the maximum springing line or clear span to be saved with the minimum rise that preserves the aesthetic point of view, since the horizontal thrust of a bow is greater than the relationship between the springing line of the arch and the rise. This solution has been programmed and the resulting software has made it possible to analyse existing arches in historic buildings or constructions to check if their solutions were close or not from both points of view. Thus, it has been possible to verify that in most of the existing arches analyzed, the proposed solution is reached.

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“…As mentioned in the paragraph above, the horizontal force is needed and has to be greater than zero. There are several ways to discover the shape of "the true arch," or the line of thrust, inside of a designed arch: from analytical formulation Gil-Martín et al [5] to numerical approaches Alexakis H & Makris N [6,7]. Additionally, chain models may also give enough accuracy of "the true arch" shape,…”

Section: Arches In Constructionmentioning

confidence: 99%

Structural Knowledge in the Homage Tower of the Alhambra Palace

Jc¹,

Lm²,

Hernández‐Montes³

et al. 2017

MOJCE

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The balancing of horizontal reactions has been a challenge in the construction of arches and domes throughout history, especially while using materials lacking tension capacity. This paper aims to analyze the level of structural knowledge of the designers at the time of the Nazarian Kingdom of Granada. A detailed study of the tributary loads acting on each dome and arch of the Homage Tower of the Alhambra Palace has been carried out. Evidence found in the distribution of domes, arches and openings in the walls has lead us to conclude that geometry of the tower was based on complete structural conception.

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Limit equilibrium analysis and the minimum thickness of circular masonry arches to withstand lateral inertial loading

Cited by 52 publications

References 16 publications

Seismic capacity and multi-mechanism analysis for dry-stack masonry arches subjected to hinge control

Seismic capacity and multi-mechanism analysis for dry-stack masonry arches subjected to hinge control

Basket-Handle Arch and Its Optimum Symmetry Generation as a Structural Element and Keeping the Aesthetic Point of View

Structural Knowledge in the Homage Tower of the Alhambra Palace

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