Optimization of retrofitting distortion-induced fatigue cracking of steel bridges using monitored data under uncertainty

This paper focuses on optimization of retrofitting distortion-induced fatigue cracking of steel bridges using monitored data under uncertainty. The optimization problem has two competing objectives: (i) maximization of the fatigue reliability of the connection details after retrofitting and (ii) minimization of the cut-off area. The geometrical restrictions, predefined maximum tensile stresses, and minimum remaining fatigue life of the connection details after retrofitting are all taken into account as constraints. The fatigue reliability assessment with monitored data is based on the formulation used in the AASHTO specifications. The original monitored data may be modified by using a proposed cut-off size adjustment factor (SAF) to represent the fatigue stress ranges at the identified critical locations after retrofitting. The nonlinear relationships between the cut-off size and SAF are established. The proposed approach is illustrated by using an existing steel tied-arch bridge monitored by the Advanced Technology for Large Structural Systems (ATLSS) Engineering Research Center at Lehigh University.

[1]  John W. Fisher,et al.  Report on Field Inspection, Assessment, and Analysis of Floorbeam Connection Cracking on the Birmingham Bridge - Pittsburgh PA , 2001 .

[2]  John W. Fisher,et al.  Bridge fatigue guide - design and details , 1977 .

[3]  S. Emerson,et al.  AASHTO (American Association of State Highway and Transportation Officials). 2001. A Policy on Geometric Design of Highways and Streets. Fourth Edition. Washington, D.C. , 2007 .

[4]  E. W. C. Wilkins,et al.  Cumulative damage in fatigue , 1956 .

[5]  J W Fisher,et al.  Fatigue cracking of steel bridge structures; volume 1: a survey of localized cracking in steel bridges - 1981 to 1988 , 1989 .

[6]  Dan M. Frangopol,et al.  Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data , 2010 .

[7]  P B Keating,et al.  EVALUATION OF REPAIR PROCEDURES FOR WEB GAP FATIGUE DAMAGE , 1996 .

[8]  John W. Fisher,et al.  Fatigue of Bridge Structures: A Commentary and Guide for Design, Evaluation and Investigation of Cracking , 1989 .

[9]  John W. Fisher Fatigue and Fracture in Steel Bridges: Case Studies , 1984 .

[10]  Dan M. Frangopol,et al.  Bridge Reliability Assessment Based on Monitoring , 2008 .

[11]  John W. Fisher,et al.  Identifying Effective and Ineffective Retrofits for Distortion Fatigue Cracking in Steel Bridges Using Field Instrumentation , 2006 .

[12]  Paul H. Wirsching,et al.  Fatigue Reliability for Offshore Structures , 1984 .

[13]  Hsin-yang Chung,et al.  Fatigue reliability and optimal inspection strategies for steel bridges , 2004 .

[14]  Jasbir S. Arora,et al.  Introduction to Optimum Design , 1988 .

[15]  Carlton Gamer Colorado Springs, Colorado , 1973 .

[16]  Y. Edward Zhou Assessment of Bridge Remaining Fatigue Life through Field Strain Measurement , 2006 .

[17]  Sreenivas Alampalli,et al.  Estimating Fatigue Life of Bridge Components Using Measured Strains , 2006 .

[18]  Darrell F. Socie,et al.  Simple rainflow counting algorithms , 1982 .

[19]  Dan M. Frangopol,et al.  Fatigue reliability assessment of retrofitted steel bridges integrating monitored data , 2010 .

[20]  Achintya Haldar,et al.  FATIGUE-RELIABILITY EVALUATION OF STEEL BRIDGES , 1994 .

[21]  H. Fawcett Manual of Political Economy , 1995 .

[22]  Ben T. Yen,et al.  Distortion Induced Cracking in Steel Bridge Members , 1990 .