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Mattia Carioti Characteristics of In-Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate 1 Abstract About the 60% of the existing buildings on Italian territory has been built using the technology of Unreinforced Masonry (URMB). Since half of them has been realized before 1919, it is reasonable to evaluate that the percentage of the existing URM buildings is about the 30% of the total amount of buildings currently standing in Italy. The construction technology of URM consists of clay-bricks walls as vertical elements and, in most cases, the floors are timber diaphragms with a floorboard layer perpendicularly nailed to joists that span between the walls. Since unreinforced masonry has scarcely predictable behaviour when subjected to seismic actions, and Italian territory is widely affected by seismic hazard, it is necessary to use the best accuracy in building strengthening and adequacy, with the aim to minimize the cost of losses. The damages observed during and after earthquakes in Umbria e Marche [1997], Abruzzo [2009] and Emilia [2013] have sadly confirmed the vulnerability of Italian URM buildings. In the first chapter the most common failures and damages regarding URM due to seismic actions will be classified and perused, and Secondly, the most damaging weaknesses will be discussed and the most suitable interventions for URM will be higlighted, according to the literature and articles: increase of in-plane stiffness of diaphragms and improvement of connections between horizontal diaphragms and lateral walls. Hereafter an experimental campaign carried out in EUCENTRE laboratories at University of Pavia between 2010 and 2012 will be summarize to show the seismic behaviour of three two-storey rock masonry buildings, with increasing seismic-adequacy interventions, subjected to seismic excitation through vibrating table. The better reponse of buildings with higher in-plane stiffness and better connected elementes will prove relevant and therefore thorougly specified. After a comprehensive and detailed review of literature regarding the methods already available for the detection of in-in plane characteristics of diaphragms, the mechanical characteristics of the floors present in the sample buildings of the experimental campaign using real experimental data. The Tremuri software will be used to create an equivalent frame model of the URM building tested in the Pavia experimental campaign, representing the floor diaphragms as an equivalent orthotropic plate, using the mechanical properties of different retrofitted floors gathered from the outcomes of the experimental campaign. The actual software model will be tested according to the methods provided by Italian Code (NTC08): pushover analysis and dynamic non-linear analysis. In the end the study will offer the results of the following model by inquiring the following aspects: maximum displacement of a control point maximum shear request at base of building energy dissipation of the building general building stiffness damage pattern of shear walls eventually assessing the dissimilarities between my software model and the software processing proposed by Penna et al [2014] and the experimental results following the 2012 Pavia Campaign.
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Page 1: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

Mattia Carioti Characteristics of In-Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

1

Abstract

About the 60% of the existing buildings on Italian territory has been built using the technology of Unreinforced Masonry (URMB). Since half of them has been realized before 1919, it is reasonable to evaluate that the percentage of the existing URM buildings is about the 30% of the total amount of buildings currently standing in Italy. The construction technology of URM consists of clay-bricks walls as vertical elements and, in most cases, the floors are timber diaphragms with a floorboard layer perpendicularly nailed to joists that span between the walls. Since unreinforced masonry has scarcely predictable behaviour when subjected to seismic actions, and Italian territory is widely affected by seismic hazard, it is necessary to use the best accuracy in building strengthening and adequacy, with the aim to minimize the cost of losses. The damages observed during and after earthquakes in Umbria e Marche [1997], Abruzzo [2009] and Emilia [2013] have sadly confirmed the vulnerability of Italian URM buildings. In the first chapter the most common failures and damages regarding URM due to seismic actions will be classified and perused, and Secondly, the most damaging weaknesses will be discussed and the most suitable interventions for URM will be higlighted, according to the literature and articles: increase of in-plane stiffness of diaphragms and improvement of connections between horizontal diaphragms and lateral walls. Hereafter an experimental campaign carried out in EUCENTRE laboratories at University of Pavia between 2010 and 2012 will be summarize to show the seismic behaviour of three two-storey rock masonry buildings, with increasing seismic-adequacy interventions, subjected to seismic excitation through vibrating table. The better reponse of buildings with higher in-plane stiffness and better connected elementes will prove relevant and therefore thorougly specified. After a comprehensive and detailed review of literature regarding the methods already available for the detection of in-in plane characteristics of diaphragms, the mechanical characteristics of the floors present in the sample buildings of the experimental campaign using real experimental data. The Tremuri software will be used to create an equivalent frame model of the URM building tested in the Pavia experimental campaign, representing the floor diaphragms as an equivalent orthotropic plate, using the mechanical properties of different retrofitted floors gathered from the outcomes of the experimental campaign. The actual software model will be tested according to the methods provided by Italian Code (NTC08): pushover analysis and dynamic non-linear analysis. In the end the study will offer the results of the following model by inquiring the following aspects:

• maximum displacement of a control point • maximum shear request at base of building • energy dissipation of the building • general building stiffness • damage pattern of shear walls

eventually assessing the dissimilarities between my software model and the software processing proposed by Penna et al [2014] and the experimental results following the 2012 Pavia Campaign.

Page 2: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

78 Modellazione Edificio con Software tremuri

Figura 23.7 curve isteretiche forza-spostamento del secondo edificio in corrispondenza di PGA 0.30g. Confronto con Penna et al [2014]

Figura 24.7 curve isteretiche forza-spostamento del secondo edificio in corrispondenza di PGA 0.30g. Confronto con valori sperimentali.

Figura 25.7 curve isteretiche forza-spostamento del secondo edificio in corrispondenza di PGA 0.40g. Confronto con Penna et al [2014]

Figura 26.7 curve isteretiche forza-spostamento del secondo edificio in corrispondenza di PGA 0.40g. Confronto con valori sperimentali

Page 3: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

Mattia Carioti Caratteristiche di Solai Lignei Soggetti ad Azioni nel Piano Modellati come Piastre Ortotrope

79

Figura 27.7 curve isteretiche forza-spostamento del terzo edificio in corrispondenza di PGA 0.30g. Confronto con Penna et al [2014]

Figura 28.7 curve isteretiche forza-spostamento del terzo edificio in corrispondenza di PGA 0.30g. Confronto con valori sperimentali

Figura 29.7 curve isteretiche forza-spostamento del terzo edificio in corrispondenza di PGA 0.40g. Confronto con Penna et al [2014]

Figura 30.7 curve isteretiche forza-spostamento del terzo edificio in corrispondenza di PGA 0.40g. Confronto con valori sperimentali

Page 4: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

80 Modellazione Edificio con Software tremuri

Figura 31.7 curve isteretiche forza-spostamento del secondo edificio in corrispondenza di PGA 0.70g. Confronto con Penna et al [2014]

Figura 32.7 curve isteretiche forza-spostamento del terzo edificio in corrispondenza di PGA 0.60g. Confronto con Penna et al [2014]

Figura 33.7 inviluppo analisi dinamiche: confronto con sperimentali e Penna et al. [2014]

Figura 34.7 inviluppo analisi dinamiche: confronto con sperimentali e Penna et al. [2014]

Page 5: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

Mattia Carioti Caratteristiche di Solai Lignei Soggetti ad Azioni nel Piano Modellati come Piastre Ortotrope

75

Page 6: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

84 Modellazione Edificio con Software tremuri

7.8 Storia di spostamento

Di seguito sono riportati i confronti tra la storia di spostamento del provino reale e quella

descritta dal modello Tremuri

Figura 45.7 confronto tra prove sperimentali e risultati Tremuri della storia di spostamento del secondo edificio in corrispondenza di PGA 0.30g

Figura 46.7 confronto tra prove sperimentali e risultati Tremuri della storia di spostamento del secondo edificio in corrispondenza di PGA 0.40g

Figura 47.7 confronto tra prove sperimentali e risultati Tremuri della storia di spostamento del secondo edificio in corrispondenza di PGA 0.70g

Page 7: Abstract of thesis Characteristics of in Plane Loaded Timber Roof Diaphragm Modelled as Orthotropic Plate

Mattia Carioti Caratteristiche di Solai Lignei Soggetti ad Azioni nel Piano Modellati come Piastre Ortotrope

85

Figura 50.7 confronto tra prove sperimentali e risultati Tremuri della storia di spostamento del terzo edificio in corrispondenza di PGA 0.70g

Figura 48.7 confronto tra prove sperimentali e risultati Tremuri della storia di spostamento del terzo edificio in corrispondenza di PGA 0.30g

Figura 49.7 confronto tra prove sperimentali e risultati Tremuri della storia di spostamento del terzo edificio in corrispondenza di PGA 0.40g


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