Probability Distribution Model for Cross-Sectional Area of Corroded Reinforcing Steel Bars
Publication: Journal of Materials in Civil Engineering
Volume 26, Issue 5
Abstract
This paper presents the development of a probabilistic model for the cross-sectional area of corroded reinforcing steel bars (rebars), in order to assess the time-dependent reliability of corroded reinforced concrete (RC) structures. The indicator , which is the ratio of the average to the minimum cross-sectional areas of corroded rebars, was adopted to quantify the longitudinal variation of the cross-sectional area. By using a three-dimensional laser scanning technique, the areas of the discrete cross-sections were evaluated along the length of a rebar at intervals of 1 mm. The statistical results showed that could be characterized by the Gumbel distribution. Both the location parameter and the scale parameter for the probability distribution of increased linearly with increases in the corrosion degree and were dependent on the element length and the diameter of the corroded rebar. The results of a time-dependent reliability analysis of corroded RC beams demonstrated that an element length of 150 mm should be chosen for reliability assessment and that larger diameter rebars should be chosen for structural design when the reduction of load bearing capacity caused by corrosion of rebars needs to be considered.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study was financially supported by the National Basic Research Program of China (973program) (Grant No. is 2009CB623204) and National Natural Science Foundation of China (Grant No. is 51078268).
References
ASTM. (2003). “Standard practice for preparing, cleaning, and evaluating corrosion test specimens.” ASTM G1-03, West Conshohocken, PA.
Cairns, J., Plizzari, G. A., Du, Y., Law, D. W., and Franzoni, C. (2005). “Mechanical properties of corrosion-damaged reinforcement.” ACI Mater. J., 102(4), 256–264.
China Association for Engineering Construction Standardization (CECS). (2007). “Standard for durability assessment of concrete structures.” CECS 220-2007, Beijing (in Chinese).
Choi, J. (2007). “Some mathematical constants.” Appl. Math. Comput., 187(1), 122–140.
Choi, J. S., et al. (2011). “Probability distribution for the shear strength of seafloor sediment in the KR5 area for the development of manganese nodule miner.” Ocean Eng., 38(17–18), 2033–2041.
Darmawan, M. S., and Stewart, M. G. (2007). “Spatial variability of pitting corrosion and its effect on the strength and reliability of prestressed concrete bridge beams.” Struct. Saf., 29(1), 16–31.
Du, Y. G., Clark, L. A., and Chan, A. H. C. (2005). “Residual capacity of corroded reinforcing bars.” Mag. Concr. Res., 57(3), 135–147.
EI Maaddawy, T. A., and Soudki, K. A. (2003). “Effectiveness of impressed current technique to simulate corrosion of steel reinforcement in concrete.” J. Mater. Civ. Eng., 41–47.
Esaklul, K. A. (1993). “Innovative approaches to downhole corrosion control.” 8th Middle East Oil Show & Conf., Proc., Vol. 1, Society of Petroleum Engineers (SPE), 569–575.
China National Standards. (1984). “Unified standards for the design of structures.” GBJ68-84, Beijing (in Chinese).
Gonzalez, J. A., Andrade, C., Alonso, C., and Feliu, S. (1995). “Comparison of rates of general corrosion and maximum pitting penetration on concrete embedded steel reinforcement.” Cem. Concr. Res., 25(2), 257–264.
Gu, X. L., et al. (2010). “Flexural behavior of corroded reinforced concrete beams” Proc., 12th Int. Conf. on Engineering, Science, Construction, and Operations in Challenging Environments-Earth and Space 2010, ASCE, Reston, VA, 3545–3552.
Hawn, D. E. (1977). “Extreme value prediction of maximum pits on pipelines.” Mater. Perform., 16(3), 29–32.
Li, C. Q., and Melchers, R. E. (2005). “Time-dependent risk assessment of structural deterioration caused by reinforcement corrosion.” ACI Struct. J., 102(5), 754–762.
Li, H., Yao, J., and Niu, D. (2008). “Probability limit states method for durability design based on criterion of carbonation life.” Concrete, 9, 16–18 (in Chinese).
Lu, R. H., Luo, Y. H., and Conte, J. P. (1994). “Reliability evaluation of reinforced concrete beams.” Struct. Saf., 14(4), 277–298.
Mirza, S. A., and MacGregor, J. G. (1979). “Variability of mechanical properties of reinforcing bars.” J. Struct. Div., 105(5), 921–937.
Palssom, R., and Mirza, M. S. (2002). “Mechanical response of corroded steel reinforcement of abandoned concrete bridge.” ACI Struct. J., 99(2), 157–162.
Rodriguez, J., Ortega, L. M., and Casal, J. (1997). “Load bearing capacity of concrete columns with corroded reinforcement.” Proc., 4th Int. Symp. on Corrosion of Reinforcement in Concrete Construction, C. L. Page, P. B. Bamforth, and J. W. Figg, eds., E&FN Spon, Cambridge, U.K., 220–230.
Sheikh, A. K., Boah, J. K., and Hansen, D. A. (1990). “Statistical modeling of pitting corrosion and pipeline reliability.” Corrosion, 46(3), 190–197.
Stewart, M. G. (2004). “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure.” Struct. Saf., 26(4), 453–470.
Stewart, M. G. (2009). “Mechanical behavior of pitting corrosion of flexural and shear reinforcement and its effect on structural reliability of corroding RC beams.” Struct. Saf., 31(1), 19–30.
Stewart, M. G., and Al-Harthy, A. (2008). “Pitting corrosion and structural reliability of corroding RC structures, experimental data and probabilistic analysis.” Reliab. Eng. Syst. Saf., 93(3), 373–382.
Torres-Acosta, A. A., and Martinez-Madrid, M. (2003). “Residual life of corroding reinforced concrete structures in marine environment.” J. Mater. Civ. Eng., 344–353.
Val, D. E., and Melchers, R. E. (1997). “Reliability of deteriorating RC slab bridges.” J. Struct. Eng., 1638–1644.
Zhu, Z. K., et al. (2009). “Detection of signal transients based on wavelet and statistics for machine fault diagnosis.” Mech. Syst. Signal. Pr., 23(4), 1075–1097.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 26 • Issue 5 • May 2014
Pages: 822 - 832
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Mar 4, 2012
Accepted: Jul 1, 2013
Published online: Jul 4, 2013
Discussion open until: Dec 4, 2013
Published in print: May 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.