Probabilistic model for critical diagonal crack angle of shear-critical reinforced concrete columns
Received:June 24, 2016  Revised:August 06, 2016
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DOI:10.7511/jslx201705003
KeyWord:reinforced concrete column  shear-critical column  critical diagonal crack angle  variable angle truss model  probabilistic model
        
AuthorInstitution
余波 广西大学 土木建筑工程学院, 工程防灾与结构安全教育部重点实验室, 广西防灾减灾与工程安全重点实验室, 南宁
吴然立 广西大学 土木建筑工程学院, 工程防灾与结构安全教育部重点实验室, 广西防灾减灾与工程安全重点实验室, 南宁
陈冰 广西大学 土木建筑工程学院, 工程防灾与结构安全教育部重点实验室, 广西防灾减灾与工程安全重点实验室, 南宁
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Abstract:
      Traditional models for critical diagonal crack angle of shear-critical reinforced concrete (RC) column are generally deterministic and exhibit low accuracy and large scatter,due to the fact that they do not consider the uncertainties of various influential factors,such as material parameters,geometric dimension and boundary constraints and so on.In order to overcome the above limitations,a probabilistic model for critical diagonal crack angle of shear-critical RC column was established in this study.The deterministic model for critical diagonal crack angle of shear-critical RC column was proposed based on the variable angle truss model first.Then,a probabilistic model for critical diagonal crack angle of shear-critical RC column which takes into account the influence of both epistemic and aleatory uncertainties was developed by combining with the Bayesian theory and the Markov Chain Monte Carlo (MCMC) method.Moreover,analytical expressions of the mean and variance of probabilistic critical diagonal crack angle were also derived.The accuracy and efficiency of the proposed probabilistic model were validated by comparing with the experimental data and existing deterministic models,which indicates that the proposed probabilistic model could describe the probabilistic characteristic of critical diagonal crack angle of the shear-critical RC column reasonably.Most importantly,the proposed probabilistic model provides not only a benchmark to calibrate the confidence level of traditional deterministic models,but also an efficient way to determine the characteristic values of critical diagonal crack angles of shear-critical RC column with different confidence levels.