Reliability-based assessment of existing masonry arch railway bridges

Abstract A great number of masonry arch bridges dates back to past centuries, being preserved by society due to their historical and still economic importance. Thereby, adequate preservation measures are required. Regarding masonry arch bridge’s structural condition, it is relevant to consider its age, and consequently deterioration, and the fact that these bridges are submitted to loads higher than those for which they were conceived, being imperative to assess their structural performance. Regarding safety assessment requirements, there are different reliability levels, whose objectives are to analyse the ultimate load-carrying capacity and the serviceability performance. This paper presents and discusses a framework that allows to determine the ultimate load-carrying capacity (Ultimate Limit State) of masonry arch bridges, using limit analysis and probabilistic approaches. Geometric and material data and load characterization, as well as inherent uncertainties will be also introduced. In order to determine the ultimate load-carrying capacity, the plastic theory will be employed, namely the limit analysis theorem, which is based on kinematic mechanisms. Since one of the main drawbacks of a probabilistic analysis is the required high computational resources, a sensitivity analysis is incorporated in order to reduce the analysis time. The presented framework is validated with an application to a set of existing Portuguese railway masonry arch bridges.

[1]  Clive. Melbourne,et al.  RIGID-BLOCK ANALYSIS OF MASONRY STRUCTURES , 1994 .

[2]  Paulo B. Lourenço,et al.  Geometric issues and ultimate load capacity of masonry arch bridges from the northwest Iberian Peninsula , 2010 .

[3]  Luc Schueremans.  Assessing the safety of existing structures using a reliability based framework: possibilities and limitations , 2006 .

[4]  Bob Cather,et al.  Construction Materials Reference Book , 1994 .

[5]  José C. Matos.  Uncertainty evaluation of reinforced concrete and composite structures behavior , 2013 .

[6]  G. Vasconcelos.  Experimental investigations on the mechanics of stone masonry : characterization of granites and behavior of ancient masonry shear walls , 2005 .

[7]  Dirk Proske,et al.  Safety of historical stone arch bridges , 2009 .

[8]  Daniel V. Oliveira,et al.  Experimental and numerical analysis of blocky masonry structures under cyclic loading , 2003 .

[9]  Clive. Melbourne,et al.  THE COLLAPSE BEHAVIOUR OF MULTISPAN BRICKWORK ARCH BRIDGES , 1997 .

[10]  I. Enevoldsen.  Experience with Probabilistic-based Assessment of Bridges , 2001 .

[11]  Alan O'Connor,et al.  Probability-based bridge assessment , 2007 .

[12]  Camilla Colla.  Non-destructive testing of masonry arch bridges , 1997 .

[13]  Gabriele Milani,et al.  3D non-linear behavior of masonry arch bridges , 2012 .

[14]  Pedro Arias,et al.  A novel methodology for the structural assessment of stone arches based on geometric data by integration of photogrammetry and ground-penetrating radar , 2012 .

[15]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[16]  Joan R. Casas,et al.  Safety requirements and probabilistic models of resistance in the assessment of existing railway bridges , 2013 .

[17]  Adam Hapij,et al.  Refined Stratified Sampling for efficient Monte Carlo based uncertainty quantification , 2015, Reliab. Eng. Syst. Saf..

[18]  A. Olsson,et al.  On Latin hypercube sampling for structural reliability analysis , 2003 .

[19]  Richard Kirkham,et al.  Whole Life-Cycle Costing: Risk and Risk Responses , 2003 .

[20]  J. J. Brooks,et al.  Concrete and Masonry Movements , 2014 .

[21]  C Melbourne,et al.  THE BEHAVIOUR OF MULTIRING BRICKWORK ARCH BRIDGES , 1995 .

[22]  Luís C. Neves,et al.  An innovative framework for probabilistic-based structural assessment with an application to existing reinforced concrete structures , 2016 .

[23]  Ramana V. Grandhi,et al.  Reliability-based Structural Design , 2006 .

[24]  Luc Schueremans.  Probabilistic evaluation of structural unreinforced masonry , 2001 .

[25]  Adrienn. Tomor,et al.  Cyclic load capacity and endurance limit of multi-ring masonry arches , 2004 .

[26]  P. Morer,et al.  The effect of geometry on the structural capacity of masonry arch bridges , 2012 .

[27]  R. Iman,et al.  A distribution-free approach to inducing rank correlation among input variables , 1982 .

[28]  Giuseppe Lacidogna,et al.  Evolution of the Fracturing Process in Masonry Arches , 2015 .

[29]  Lennart Elfgren,et al.  Sustainable bridges : assessment for future traffic demands and longer lives , 2004 .

[30]  Joan R. Casas.  Reliability-based assessment of masonry arch bridges , 2011 .

[31]  Andrzej S. Nowak,et al.  Reliability of Structures , 2000 .

[32]  Matthew Gilbert,et al.  RING: 2D rigid-block analysis program for masonry arch bridges , 2001 .

[33]  Zoltán Orbán,et al.  Assessment of masonry arch railway bridges using non-destructive in-situ testing methods , 2009 .