ADVANCED MASTERS IN STRUCTURAL ANALYSYS OF MONUMENTS AND HISTORICAL CONSTRUCTION Master’s Thesis Chandrashekhar Mahato Reliability analysis of St. Barbara’s Church in Otovice Czech Republic | 2019 CZECH TECHNICAL UNIVERSITY IN PRAGUE Faculty of Civil Engineering Thákurova 7, 166 29 Prague 6, Czech Republic MASTER‘S THESIS PROPOSAL study programme: Civil Engineering study branch: Advanced Masters in Structural Analysis of Monuments and Historical Constructions academic year: 2018/2019 Student’s name and surname: Chandrashekhar Mahato Department: Department of Mechanics Thesis supervisor: Pavel Kuklík Thesis title: Reliability Analysis of St. Barbara´s Church in Otovice Thesis title in English see above Framework content: The main objective of this thesis is to determine the stability of St. Barbara's church and elaborates upon the different methods adopted to evaluate the structural safety based on a probabilistic approach. A deterministic assessment of the structure is carried out and the results are assessed with reference to the present site condition. Depending upon the observed damages, a condition for failure is defined for the structure. Reliability analysis is then carried out taking into account the uncertainties in material parameters and to determine the reliability index, probability of failure and influence of different material parameters on the structural stability. Assignment date: 1/04/2019 Submission date: 8/09/2019 If the student fails to submit the Master’s thesis on time, they are obliged to justify this fact in advance in writing, if this request (submitted through the Student Registrar) is granted by the Dean, the Dean will assign the student a substitute date for holding the final graduation examination (2 attempts for FGE remain). If this fact is not appropriately excused or if the request is not granted by the Dean, the Dean will assign the student a date for retaking the final graduation examination, FGE can be retaken only once. (Study and Examination Code, Art 22, Par 3, 4.) The student takes notice of the obligation of working out the Master’s thesis on their own, without any outside help, except for consultation. The list of references, other sources and names of consultants must be included in the Master’s thesis. ........................................................ ....................................................... Master’s thesis supervisor Head of department Date of Master’s thesis proposal take over: July 2019 ...................................................... Student Reliability analysis of St. Barbara’s Church in Otovice DECLARATION Name: Chandrashekhar Mahato Email: [email protected] Title of the Reliability analysis of St. Barbara’s Church in Otovice MSc Dissertation: Supervisor(s): Prof. Ing. Pavel Kuklik Year: 2018-2019 I hereby declare that all information in this document has been obtained and presented in accordance with academic rules and ethical conduct. I also declare that, as required by these rules and conduct, I have fully cited and referenced all material and results that are not original to this work. I hereby declare that the MSc Consortium responsible for the Advanced Masters in Structural Analysis of Monuments and Historical Constructions is allowed to store and make available electronically the present MSc Dissertation. University: Czech Technical University, Prague Date: 05/07/2019 Signature: ___________________________ ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS i Reliability analysis of St. Barbara’s Church in Otovice This page is left blank on purpose. ii ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS Reliability analysis of St. Barbara’s Church in Otovice Dedicated to my family, friends and faculty members of SAHC. ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS iii Reliability analysis of St. Barbara’s Church in Otovice This page is left blank on purpose. iv ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS Reliability analysis of St. Barbara’s Church in Otovice ACKNOWLEDGEMENTS It was indeed a great pleasure and a moment of immense satisfaction for me to have completed this project. Firstly, I would like to express my sense of gratitude and profound indebtedness towards my supervisor Prof. Pavel Kuklik, for his continuous support of my thesis, for his patience, motivation and immense knowledge. His zeal and enthusiasm have always been a source of inspiration for me. Besides, I would like to thank Prof. Petr Kabele, Prof. Tomáš Krejčí and Prof. Martin Valek for their insightful comments, suggestions and most importantly, for making the requisite facilities available. I am grateful to Dr. Pukl for his guidance with the softwares and to Cervenka Consulting and Fine Software for providing me with ATENA and Geo 5 softwares My sincere thanks also goes to Mgr. Kateřina Kovářová and the Department of Geotechnics for providing valuable information regarding the geology of site. I emphatically extend my heartiest thanks to all the professors of University of Minho for their constant support and SAHC consortium for providing me scholarship for this masters programme. I thank my fellow mates from SAHC, specially Natalie, John and Ivana, for the stimulating discussions, for the constructive criticism, and for all the fun we had during the stay in Prague. Last but not the least, I would like to thank my parents and siblings for supporting me spiritually throughout. ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS v Reliability analysis of St. Barbara’s Church in Otovice This page is left blank on purpose. vi ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS Reliability analysis of St. Barbara’s Church in Otovice ABSTRACT The monuments of Czech Republic constitute the most important part of the Czech cultural heritage. It symbolizes the significant historical development and provides valuable information about the behavior, cultural beliefs and economic condition of the society, from the most ancient time to the present day. The churches of Broumov, that portrays a unique Baroque architecture, is well-known not only for its distinct shapes and sizes, but also because of the religious, creative, artistic and historic values that it has carried over the years. The St. Barbara’s Church built in the year 1726 and located in the Otovice village of Broumov depicts similar architectural features and has been taken up as a case study for this project. The main objective of this dissertation is to determine the stability of the structure through reliability analysis. Currently, most of the existing structures are verified using simplified deterministic approaches that are based on partial factor methods, usually applied in the design of new structures. Although the deterministic approach is widely accepted, yet more pragmatic information about the actual performance of the existing structure can be achieved through probabilistic method. The report elaborates upon the various methods implemented to evaluate the safety of the structure based on probabilistic approach. In order to perform reliability analysis, the geometry of St. Barbara’s church was studied in detail, followed by a thorough damage assessment of the present condition. Based on the geometry, a deterministic finite element model was built and validated in GiD-Atena software. Further, the data obtained from damage assessment, formed the basis for the selection of failure criteria for the structure. The condition of soil at site was studied and the probability of failure was calculated by taking into account the effects of differential settlements. The dissertation also focuses on the uncertainties of material parameters and their influence on the structural stability and reliability. The reliability study has been performed using software packages SARA-FReET. Also, a comparison has been established to the existing codes and standards for the obtained reliability index. Subsequently, ways to better assess the current state of the church using probabilistic methods has been expressed. Keywords: Cultural heritage, Reliability index, Probabilistic approach, Structural reliability, Uncertainty ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS vii Reliability analysis of St. Barbara’s Church in Otovice This page is left blank on purpose. viii ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS Reliability analysis of St. Barbara’s Church in Otovice ABSTRAKT Velkolepé historické stavby představují jednu s nejvýznamnější součástí kulturního dědictví České republiky. Symbolizují historický vývoj a poskytují cenné informace o chování, kulturním cítění a ekonomickém stavu společnosti, od nejstarších dob až po současnost. Broumovské kostely, které zachycují jedinečnou barokní architekturu, jsou známé nejen svou tvarovou rozmanitostí a velikostí, ale také náboženskými, tvůrčími, uměleckými a historickými hodnotami, které se vytvářely v průběhu let. Kostel sv. Barbory postavený v roce 1726 v obci Otovice v Broumově, který zobrazuje tyto architektonické prvky, jsem si zvolil a analyzoval ve svém projektu. Hlavním cílem této práce je ověřit únosnost a stabilitu stavby s využitím spolehlivostní, stochastické, analýzy. V současné době je většina staveb posuzována pomocí zjednodušených deterministických přístupů, které jsou založeny na metodách dílčích součinitelů.