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| Probabilistic model for critical crack angle of reinforced concrete beams |
| Received:November 11, 2016 Revised:January 22, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20161111002 |
| KeyWord:reinforced concrete beam critical crack angle modified compression field theory Markov Chain Monte Carlo probabilistic model |
| Author | Institution |
| 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 |
| 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 |
| 唐睿楷 |
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 |
| 万伟伟 |
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: |
| A probabilistic model for critical crack angle of RC beam was established by taking into account the influences of various important parameters such as shear span ratio,concrete strength,reinforcement ratio and stirrup ratio.The deterministic model for critical crack angle of RC beam was proposed based on the modified compression field theory (MCFT) first.Then,a probabilistic model of critical crack angle for RC beam which takes into account the influences of shear span ratio as well as both aleatory and epistemic uncertainties was developed by combining the Bayesian theorem and the Markov Chain Monte Carlo (MCMC) method.Finally,the applicability and efficiency of the proposed probabilistic model were validated by comparing with the experimental data and traditional deterministic models.Analysis results show that the critical crack angle of RC beam exhibits significant variation and decreases with the shear span ratio,which varies from 23° to 41°;the proposed probabilistic model can not only describe the probabilistic distribution characteristics of critical crack angle,but also provide a benchmark to calibrate the confidence level of traditional deterministic models and provide an efficient way to determine the characteristic values of critical crack angle with different confidence levels. |
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