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

卷:

39卷

期数:

2022年05期

页码:

104-112

栏目:

结构工程

出版日期:

2022-09-30

文章信息/Info

Title:

Probabilistic Calculation Model of Inclined Crack Angle of Prestressed Concrete Beam

文章编号:

1673-2049(2022)05-0104-09

作者:

张 峰¹,高华睿²,赵国浩¹

(1. 山东大学 岩土与结构工程研究中心,山东 济南 250061; 2. 山东高速建设管理集团有限公司,山东 济南 250002)

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)

关键词:

预应力混凝土梁;  斜裂缝倾角;  贝叶斯理论;  MCMC方法;  概率模型

Keywords:

prestressed concrete beam;  inclined crack angle;  Bayesian theory;  MCMC method;  probabilistic model

分类号:

TU375

DOI:

10.19815/j.jace.2021.11073

文献标志码:

A

摘要:

针对预应力混凝土(PC)梁剪切斜裂缝倾角的大小,各国规范建议公式差异较大,尚没有明确的理论模型。基于贝叶斯理论,引入马尔科夫链-蒙特卡洛(MCMC)高效采样方法,根据选定的预应力混凝土梁斜裂缝倾角计算公式作为贝叶斯先验模型; 通过收集到的45组剪切斜裂缝数据,考虑了箍筋配筋率、箍筋强度、混凝土抗压强度、剪跨比和有效预应力参数,建立了修正的斜裂缝倾角计算模型。结果表明:先验模型的预测值和试验值比值的均值和变异系数分别为0.68和0.26,后验模型的预测值和试验值比值的均值和变异系数分别为0.98和0.25,预测值更加接近试验值; 基于先张法预应力混凝土空心板梁实测斜裂缝倾角验证计算模型,先验模型的预测值和试验值比值的均值和变异系数分别为0.57和0.19,后验模型的预测值和试验值比值的均值和变异系数分别为0.81和0.21,后验模型的预测值更接近试验值,能够更加准确预测PC梁斜裂缝倾角。

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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[4]王 钧,李 婷,任靖豪.大直径高强钢绞线预应力混凝土梁受力性能[J].建筑科学与工程学报,2017,34(02):103.
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[5]杨 鸥,张晓非,霍静思,等.预应力混凝土梁疲劳性能研究现状[J].建筑科学与工程学报,2017,34(04):85.
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[6]羊日华,刘 欢,张旭辉,等.腐蚀预应力混凝土梁抗剪性能试验[J].建筑科学与工程学报,2018,35(05):134.
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备注/Memo

备注/Memo:

收稿日期:2021-11-21
基金项目:山东省自然科学基金项目(ZR202102260046,ZR202102240664)
作者简介:张 峰(1978-),男,江苏泰州人,教授,博士研究生导师,工学博士,E-mail:zhangfeng2008@sdu.edu.cn。

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更新日期/Last Update: 2022-09-30