Determination of Collapse Load of Single Span Circular Masonry Arch Bridges by the Methods of Limit Analysis

Year 2015, Volume: 21 Issue: 3, 88 - 93, 01.07.2015

Süleyman Orhan , Mehmet Özyazıcıoğlu

Abstract

In this study, an algorithm to assess the collapse load of single span circular masonry arch bridges according to the lower-bound theorem of limit analysis is developed. The algorithm uses techniques of linear programming and converges to the true collapse load from below; ie. predicts the safe collapse load. The algorithm is implemented in Matlab environment. The results compare well with those available in the literature.

Keywords

Masonry arch bridges, Collapse load, Limit analysis

Tek Açıklıklı Dairesel Kâgir Kemer Köprülerin Göçme Yüklerinin Limit Analiz Yöntemleri ile Hesaplanması

Abstract

Bu çalışmada, tek açıklıklı dairesel kâgir kemer köprülerin göçme yüklerinin limit analizin alt-limit teoremine göre belirlenmesine yönelik bir algoritma geliştirilmiştir. Algoritma, doğrusal programlama tekniklerini kullanmakta ve gerçek göçme yükü değerine alttan yakınsamakta, yani güvenli tarafta kalmaktadır. Algoritma, Matlab ortamında programlanmıştır. Elde edilen sonuçlar, literatürdeki mevcut sonuçlarla uyumludur.

Keywords

Kâgir kemer köprüler, Göçme yükü, Limit analiz metodu

References

• Toker S, Ünay Aİ. “Mathematical Modelling and Finite Element Gazi University Journal of Science, 17(2), 129-139, 2004.
• Ng KH. Analysis of Masonry Arch Bridges. Ph.D.Thesis, Napier University, Edinburgh, UK, 1999.
• Huerta S. “The Use of Simple Models in the Teaching of the Theory and Practice of Construction: Knowledge, Means, Models, Ravenna, Italy, 2005. Arch Behavior”.
• Block P. Equilibrium Systems Studies in Masonry Structures. MSc Thesis, Massachusetts Institute of Technology, Massachusetts, USA, 2005.
• Huerta S. “Mechanics of Masonry Vaults: The Equilibrium Approach”. Proceedings of Historical Constructions, 47-69, Guimaraes, Portugal, 2001.
• Block P, Ciblac T, Ochsendorf J. “Real-Time Limit Analysis of Vaulted Masonry Buildings”. Computers and Structures, 84, 1841-1852, 2006.
• Celasun H. Betonarme Köprüler ve Hesap Metotları. İstanbul, Türkiye, Çağlayan Kitabevi, 1974.
• Thavalingam A, Bicanic N, Robinson JI, Ponniah DA. “Computational Framework for Discontinuous Modelling of Masonry Arch Bridges”. Computers and Structures, 79(19), 1821-1830, 2001.
• Özer O. Assessment of Masonry Arch Bridges by Mechanism Method. MSc Thesis, Boğaziçi University, İstanbul, Türkiye, 2006.
• Anonymous. “Department of Transport: Departmental Advice Note BA 16/97”. The Assessment of the Highway Bridges and Structures, 3(4), London, UK, 2001.
• Hughes TG, Blackler MJ. “A Review of the UK Masonry Arch Assessment Methods”. Proceeding of the Institution of 122(3), 305-315, 1997. Structure and Buildings,
• Kanıt R, Işık NS. “Tuğla Kemerlerin Deneysel Davranışı ve Bilgisayar Modeli Analizleri”. Journal of the Faculty of Engineering and Architecture of Gazi University, 22(1), 13-20, 2006.
• Toth AR, Orban Z, Bagi K. “Discrete Element Analysis of a Arch”. Stone Communications, 36(4), 469-480, 2009. Mechanics Research
• Ghali A. Structural Analysis: A Unified Classical and Matrix Approach. London, UK, Chapman and Hill, 1989.
• Wong MB. Plastic Analysis and Design of Steel Structures. Oxford, UK, Elsevier Ltd, 2009.
• Kaymaz İ. Optimizasyon Teknikleri Dersi Ders Notları. Atatürk Üniversitesi, Erzurum, Türkiye, 2006.
• Loi FT. Limit Analysis by Linear Programming. Editor: Wong, MB. Plastic Analysis and Design of Steel Structures, 163-193, Oxford, UK, Elsevier Ltd, 2009.
• Gilbert M. “Limit Analysis Applied to Masonry Arch Bridges: State-of-the-Art and Recent Developments”. The 5th International Conference on Arch Bridges, Madeira, Portugal, 2007.
• Anonymous. “Ring 2.0 Theory and Modelling Guide, version 2.0h”. UK, 2009.
• Cavicchi A, Gambarotta L. “Lower Bound Limit Analysis of Masonry Bridges Including Arch-Fill Interaction”. Engineering Structures, 29(11), 3002-3014, 2007.
• Cavicchi A, Gambarotta L. “Collapse Analysis of Masonry Bridges Taking into Account Arch–Fill Interaction”. Engineering Structures, 27(4), 605-615, 2005.