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.
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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).
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© 2013 American Society of Civil Engineers.
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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
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