Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls

In this paper a macro-block model accounting for frictional resistances is presented to assess the lateral strength of a multi-storey masonry block wall. The kinematic approach of limit analysis is used to define the load factor causing the onset of rocking-sliding mechanism under in-plane horizonta...

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Main Authors: L.U. Argiento, A. Maione, C. Casapulla
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2018-10-01
Series:Fracture and Structural Integrity
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Online Access:http://www.gruppofrattura.it/pdf/rivista/numero46/numero_46_art_21.pdf
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author L.U. Argiento
A. Maione
C. Casapulla
author_facet L.U. Argiento
A. Maione
C. Casapulla
author_sort L.U. Argiento
collection DOAJ
description In this paper a macro-block model accounting for frictional resistances is presented to assess the lateral strength of a multi-storey masonry block wall. The kinematic approach of limit analysis is used to define the load factor causing the onset of rocking-sliding mechanism under in-plane horizontal loading. A dry frictional contact condition is assumed at the rigid block interfaces, according to the Coulomb's law with non-associated flow rule. The key aspect of the proposed approach is the introduction of a criterion to evaluate the contribution of the actual frictional resistances depending on the inclination angle of the crack line. An accurate assessment of the frictional resistances is also obtained by distinguishing two different contributions (the wall own weight and additional vertical loads) and their application points. Hence, a sensitivity analysis is performed with respect to the overloading condition, the friction coefficient, and geometrical parameters such as the shape ratios of the wall and of the unit block and the number of rows. The analytical results of the proposed model are also validated against results from other existing macro and micro-block modelling approaches in terms of load factor. The comparison confirms the reliability of the proposed model that allows, with similar results, great simplification of the computational effort with respect to micro-block models.
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spelling doaj-art-ad45736e2d5f4a4a9da354290f546f8c2025-01-03T00:39:42ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932018-10-01124622623910.3221/IGF-ESIS.46.2110.3221/IGF-ESIS.46.21Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block wallsL.U. ArgientoA. MaioneC. CasapullaIn this paper a macro-block model accounting for frictional resistances is presented to assess the lateral strength of a multi-storey masonry block wall. The kinematic approach of limit analysis is used to define the load factor causing the onset of rocking-sliding mechanism under in-plane horizontal loading. A dry frictional contact condition is assumed at the rigid block interfaces, according to the Coulomb's law with non-associated flow rule. The key aspect of the proposed approach is the introduction of a criterion to evaluate the contribution of the actual frictional resistances depending on the inclination angle of the crack line. An accurate assessment of the frictional resistances is also obtained by distinguishing two different contributions (the wall own weight and additional vertical loads) and their application points. Hence, a sensitivity analysis is performed with respect to the overloading condition, the friction coefficient, and geometrical parameters such as the shape ratios of the wall and of the unit block and the number of rows. The analytical results of the proposed model are also validated against results from other existing macro and micro-block modelling approaches in terms of load factor. The comparison confirms the reliability of the proposed model that allows, with similar results, great simplification of the computational effort with respect to micro-block models.http://www.gruppofrattura.it/pdf/rivista/numero46/numero_46_art_21.pdfLimit analysis 3D macro-block model Multi-storey masonry building Rocking-sliding failure Frictional resistances.
spellingShingle L.U. Argiento
A. Maione
C. Casapulla
Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls
Fracture and Structural Integrity
Limit analysis
3D macro-block model
Multi-storey masonry building
Rocking-sliding failure
Frictional resistances.
title Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls
title_full Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls
title_fullStr Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls
title_full_unstemmed Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls
title_short Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block walls
title_sort formulating the in plane frictional resistances and collapse mechanisms for multi storey masonry block walls
topic Limit analysis
3D macro-block model
Multi-storey masonry building
Rocking-sliding failure
Frictional resistances.
url http://www.gruppofrattura.it/pdf/rivista/numero46/numero_46_art_21.pdf
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