
Timedependent reliability analysis of corroded reinforce concrete beams in the atmospheric environment 
Received:April 20, 2019 Revised:May 22, 2019 
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DOI：10.7511/jslx20190420001 
KeyWord:reinforcement corrosion limit state equation probability density evolution theory timedependent reliability 
Author  Institution 
杨思昭 
云南大学 建筑与规划学院, 昆明 
王宪杰 
云南大学 建筑与规划学院, 昆明 ;浙江大学 建筑工程学院, 杭州 ;浙江东南网架集团有限公司, 杭州 
董艳秋 
云南大学 建筑与规划学院, 昆明 
王希 
云南大学 建筑与规划学院, 昆明 
龙诗琪 
云南大学 建筑与规划学院, 昆明 
周潇凡 
云南大学 建筑与规划学院, 昆明 

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Abstract: 
The limit state equation with random parameters is established based on the timedependent model of reinforcement material performance and the degradation probabilistic model of shear strength and bending strength in corroded reinforced concrete beams under atmospheric environment.The probability density evolution equation which satisfies the limit state equation is obtained based on the principle of probability conservation,and the calculation method of timedependent reliability for the degradation strength of beams is proposed by introducing absorbing boundary conditions.The probability density evolution process of objective function is shown and the timedependent reliability of different diameters of stirrups and different depths of concrete cover is discussed by taking a simply supported corroded reinforced concrete beam subjected to symmetrical concentrated loads as an example.The results show that the degradation of mechanical properties of concrete members can be delayed by appropriate increasing the concrete cover depth and the stirrups diameter under the precondition that the beam has enough initial shear strength and bending strength.By comparing 1 million Monte Carlo simulation results,it can be seen that the proposed method can obtain the results with good calculation accuracy at less computational cost. 