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: Luca Umberto Argiento, Alessandra Maione, Claudia Casapulla
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2018-09-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2155
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author Luca Umberto Argiento
Alessandra Maione
Claudia Casapulla
author_facet Luca Umberto Argiento
Alessandra Maione
Claudia Casapulla
author_sort Luca Umberto 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 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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series Fracture and Structural Integrity
spelling doaj-art-264cdcb8b3c74bdab1e90b7a21e8edd42025-01-03T00:40:25ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932018-09-011246Formulating the in-plane frictional resistances and collapse mechanisms for multi-storey masonry block wallsLuca Umberto ArgientoAlessandra Maione0Claudia Casapulla1University of Napoli Federico II, Department of Structures for Engineering and ArchitectureDept. of Structures for Engineering and Architecture, University of Napoli Federico IIIn 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 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.https://www.fracturae.com/index.php/fis/article/view/2155Limit analysis3D macro-block modelMulti-storey masonry buildingRocking-sliding failureFrictional resistances
spellingShingle Luca Umberto Argiento
Alessandra Maione
Claudia 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 https://www.fracturae.com/index.php/fis/article/view/2155
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AT claudiacasapulla formulatingtheinplanefrictionalresistancesandcollapsemechanismsformultistoreymasonryblockwalls