Time-variant reliability analysis of widened deteriorating prestressed concrete bridges considering shrinkage and creep

Abstract Nowadays, bridge widening has become an economic option to tackle the increasing demand of the traffic volume and to enhance the capacity of existing highway bridges. Thus, relevant studies on the performance assessment of widened bridges are needed. This paper presents a computational probabilistic framework for time-variant reliability analysis of widened concrete highway bridges in a systematic manner considering the effects of live-load redistribution, structural deterioration, and concrete shrinkage and creep. Specifically, differences and inconsistences between the new and existing structures regarding live-load distribution, reinforcement corrosion, and concrete shrinkage and creep are considered. A finite element grillage model is constructed to investigate live-load distribution factors and internal axial forces caused by concrete shrinkage and creep. The uncertainties associated with shrinkage and creep effects are accounted for within the probabilistic framework. The flexural moment resistance of the bridge girder is computed considering the combined effects of the shrinkage-and-creep-induced axial force and structural deterioration. Ultimately, the system reliability of the widened bridge is calculated. The proposed probabilistic framework is applied to a widened prestressed concrete T-girder bridge.

[1]  Arthur H. Nilson,et al.  Design of concrete structures , 1972 .

[2]  Dimitri V. Val,et al.  Probabilistic evaluation of initiation time of chloride-induced corrosion , 2008, Reliab. Eng. Syst. Saf..

[3]  Sandeep Baweja,et al.  Justification and refinements of model B3 for concrete creep and shrinkage 1. statistics and sensitivity , 1995 .

[4]  Dan M. Frangopol,et al.  Bridge life-cycle performance and cost: analysis, prediction, optimisation and decision-making , 2017, Structures and Infrastructure Systems.

[5]  Bruce R. Ellingwood,et al.  Reliability-Based Service-Life Assessment of Aging Concrete Structures , 1993 .

[6]  J. Z. Zhu,et al.  The finite element method , 1977 .

[7]  K. Reinschmidt,et al.  Time-Variant Flexural Reliability of Posttensioned, Segmental Concrete Bridges Exposed to Corrosive Environments , 2014 .

[8]  Dan M. Frangopol,et al.  Redundancy in Highway Bridges , 1991, Engineering Journal.

[9]  Devin K. Harris Assessment of flexural lateral load distribution methodologies for stringer bridges , 2010 .

[10]  Tong Guo,et al.  Probabilistic Assessment of Deteriorating Prestressed Concrete Box-Girder Bridges under Increased Vehicle Loads and Aggressive Environment , 2011 .

[11]  M. Stewart,et al.  A two parameter stress block for high strength concrete , 1998 .

[12]  Qing-Jie Wen Long-term effect analysis of prestressed concrete box-girder bridge widening , 2011 .

[13]  Mark G. Stewart,et al.  Structural reliability of concrete bridges including improved chloride-induced corrosion models , 2000 .

[14]  Mark G. Stewart,et al.  Time-dependent reliability of deteriorating reinforced concrete bridge decks , 1998 .

[15]  Robert E. Melchers,et al.  Effect of reinforcement corrosion on reliability of highway bridges , 1998 .

[16]  M. D. McKay,et al.  A comparison of three methods for selecting values of input variables in the analysis of output from a computer code , 2000 .

[17]  Huang Ping Research on Static Behavior of Broaden Spliced Prestressed Concrete T-type Beam Bridges , 2010 .

[18]  Michael P. Enright,et al.  Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion , 1998 .

[19]  Dan M. Frangopol,et al.  Lifetime Bridge Maintenance Strategies Based on System Reliability , 1997 .

[20]  S. Gollwitzer,et al.  Equivalent components in first-order system reliability , 1983 .

[21]  Dan M. Frangopol,et al.  Assessment of Risk Using Bridge Element Condition Ratings , 2013 .

[22]  Dan M. Frangopol,et al.  Reliability-Based Assessment of Suspension Bridges: Application to the Innoshima Bridge , 2001 .

[23]  Arnaud Castel,et al.  Effect of stress corrosion cracking on stress–strain response of steel wires used in prestressed concrete beams , 2009 .

[24]  Fang Zh Transverse Effects Resulting from Concrete Shrinkage and Creep of Widened Concrete Box Girder Bridge , 2013 .

[25]  Dan M. Frangopol,et al.  On Structural Robustness, Redundancy, and Static Indeterminacy , 2008 .

[26]  Robert E. Melchers,et al.  RELIABILITY OF DETERIORATING RC SLAB BRIDGES , 1997 .

[27]  T J Wipf,et al.  EVALUATION OF APPROPRIATE MAINTENANCE, REPAIR AND REHABILITATION METHODS FOR IOWA BRIDGES , 2003 .

[28]  Dan M. Frangopol,et al.  Repair Optimization of Highway Bridges Using System Reliability Approach , 1999 .

[29]  Dan M. Frangopol,et al.  Reliability, risk and lifetime distributions as performance indicators for life-cycle maintenance of deteriorating structures , 2014, Reliab. Eng. Syst. Saf..

[30]  Erin A Hughs,et al.  Live-Load Distribution Factors for Prestressed Concrete, Spread Box-Girder Bridge , 2006 .

[31]  Dan M. Frangopol,et al.  Time-dependent reliability analysis of existing RC structures in a marine environment using hazard associated with airborne chlorides , 2010 .

[32]  Konrad Bergmeister,et al.  Numerically and Experimentally Based Reliability Assessment of a Concrete Bridge Subjected to Chloride-Induced Deterioration , 2013 .

[33]  Dan M. Frangopol,et al.  Time‐variant sustainability assessment of seismically vulnerable bridges subjected to multiple hazards , 2013 .

[34]  Dan M. Frangopol,et al.  Time-dependent interaction between load rating and reliability of deteriorating bridges , 2004 .

[35]  Dan M. Frangopol,et al.  RELIABILITY-BASED LIFE-CYCLE MANAGEMENT OF HIGHWAY BRIDGES , 2001 .

[36]  Zdenek P. Bazant,et al.  Prediction of Concrete Creep Effects Using Age-Adjusted Effective Modulus Method , 1972 .

[37]  Dan M. Frangopol,et al.  Bridge Lifetime System Reliability Under Multiple Limit States , 2001 .

[38]  K. Willam,et al.  Carbonation-Induced and Chloride-Induced Corrosion in Reinforced Concrete Structures , 2015 .

[39]  Edward P. Wasserman,et al.  Simplified Method of Lateral Distribution of Live Load Moment , 2004 .

[40]  T. Paulay,et al.  Reinforced Concrete Structures , 1975 .

[41]  Bryan E. Little,et al.  American Association of State Highway and Transportation Officials. Highway Drainage Guidelines American Association of State Highway and Transportation Officials. LRFD Bridge Design Specifications , 2000 .

[42]  Cruz Alonso,et al.  Comparison of rates of general corrosion and maximum pitting penetration on concrete embedded steel reinforcement , 1995 .

[43]  Paul J. Barr,et al.  LIVE-LOAD DISTRIBUTION FACTORS IN PRESTRESSED CONCRETE GIRDER BRIDGES , 2001 .

[44]  M. S. Darmawan,et al.  Spatial time-dependent reliability analysis of corroding pretensioned prestressed concrete bridge girders , 2007 .

[45]  R. Iman,et al.  Rank Transformations as a Bridge between Parametric and Nonparametric Statistics , 1981 .

[46]  Dan M. Frangopol,et al.  RELSYS: A computer program for structural system reliability , 1998 .

[47]  Dan M. Frangopol,et al.  Risk assessment of highway bridges under multiple hazards , 2011 .

[48]  Dan M. Frangopol,et al.  Reliability of Reinforced Concrete Girders Under Corrosion Attack , 1997 .

[49]  Riyadh Hindi,et al.  AASHTO-LRFD Live Load Distribution for Beam-and-Slab Bridges: Limitations and Applicability , 2007 .

[50]  Dan M. Frangopol,et al.  Redundancy and robustness of highway bridge superstructures and substructures , 2010, Structures and Infrastructure Systems.

[51]  J. G. Macgregor,et al.  Statistical Descriptions of Strength of Concrete , 1979 .

[52]  Dan M. Frangopol,et al.  Life-cycle reliability-based maintenance cost optimization of deteriorating structures with emphasis on bridges , 2003 .

[53]  Andrew Chan,et al.  Residual capacity of corroded reinforcing bars , 2005 .