|Table of Contents|

Probabilistic Calculation Model of Inclined Crack Angle of Prestressed Concrete Beam(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2022年05期
Page:
104-112
Research Field:
结构工程
Publishing date:

Info

Title:
Probabilistic Calculation Model of Inclined Crack Angle of Prestressed Concrete Beam
Author(s):
ZHANG Feng1;  GAO Hua-rui2;  ZHAO Guo-hao1
(1. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan 250061, Shandong, China; 2. Shandong Hi-speed Construction Management Group Co., Ltd, Jinan 250002, Shandong, China)
Keywords:
prestressed concrete beam;  inclined crack angle;  Bayesian theory;  MCMC method;  probabilistic model
PACS:
TU375
DOI:
10.19815/j.jace.2021.11073
Abstract:
In view of the inclined crack angle of prestressed concrete(PC)beams, the formulas recommended by national codes are quite different, and there is no clear theoretical model. Based on the Bayesian theory and the introduction of Markov Chain-Monte Carlo(MCMC)efficient sampling method, the selected calculation formula of inclined crack angle of prestressed concrete beams was used as the Bayesian prior model. Based on the collected 45 groups of inclined crack data, considering stirrup reinforcement ratio, stirrup strength, concrete compressive strength, shear span ratio and effective prestress, the modified calculation model of inclined crack angle was established. The results show that the mean and coefficient of variation of the ratio of predicted and experimental values of the prior model are 0.68 and 0.26 respectively. The mean and coefficient of variation of the ratio of predicted and experimental values of the posterior model are 0.98 and 0.25 respectively, and the predicted value is closer to the experimental value. Based on the inclined crack angle measured by the shear test of PC hollow slab beam, the proposed posterior model is verified,and the mean and coefficient of variation of the ratio of predicted value and experimental value of the prior model are 0.57 and 0.19 respectively. The mean and coefficient of variation of the ratio of predicted value and experimental value of the posterior model are 0.81 and 0.21 respectively. The predicted value of the posterior model is closer to the experimental value, which can more accurately predict the inclined crack angle of PC beams.

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Last Update: 2022-09-30