|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.

References:

[1] 肖光宏,江炳章.考虑预应力度的部分预应力混凝土梁抗剪强度的试验研究[J].重庆交通学院学报,1988,7(3):70-83.
XIAO Guang-hong,JIANG Bing-zhang.Experimental Research on Ultimate Shear Strength of Partially Prestressed Concrete with Considering[J].Journal of Chongqing Jiaotong University,1988,7(3):70-83.
[2]彭天明,王 南.受集中荷载简支预应力混凝土和部分预应力混凝土梁的抗剪强度[J].重庆交通学院学报,1987,6(4):47-54.
PENG Tian-ming,WANG Nan.Shear Strength of Simply Supported Prestressed Concrete and Partially Prestressed Concrete Beams with Concentrated Load[J].Journal of Chongqing Jiaotong University,1987,6(4):47-54.
[3]AASHTO LRFD Bridge Design Specifications:AASH-TO LRFD-8-2017[S].Washington DC:AASHTO,2017.
[4]Design of Concrete Structures:CSA A23.3-04[S].Toronto:Canadian Standards Association,2004.
[5]车惠民,张开敬,陈开利.预应力对无箍筋混凝土T形梁抗剪强度的影响[J].西南交通大学学报,1984,19(4):1-15.
CHE Hui-min,ZHANG Kai-jing,CHEN Kai-li.The Effects of Prestress on the Shear Strength of Prestressed Concrete T-beams Without Web Reinforcement[J].Journal of Southwest Jiaotong University,1984,19(4):1-15.
[6]混凝土结构设计规范:GB 50010—2010[S].北京:中国建筑工业出版社,2011.
Code for Design of Concrete Structures:GB 50010—2010[S].Beijing:China Architecture & Building Press,2011.
[7]Building Code Requirements for Structural Concrete and Commentary:ACI 318R-05[S].Michigan:American Concrete Institute,2008.
[8]PAN Z F,LI B.Evaluation of Shear Strength Design Methodologies for Slender Shear-critical RC Beams[J].Journal of Structural Engineering,2013,139(4):619-622.
[9]孟少平,王国林,潘钻峰.钢筋混凝土及预应力混凝土梁抗剪设计方法研究[J].建筑结构,2013,43(19):25-29.
MENG Shao-ping,WANG Guo-lin,PAN Zuan-feng.Study on Shear Design Methods for Reinforced and Prestressed Concrete Beams[J].Building Structure,2013,43(19):25-29.
[10]张开敬,马忠国.部分预应力混凝土无箍筋约束箱梁抗剪强度的试验研究[J].西南交通大学学报,1990,25(2):14-22.
ZHANG Kai-jing,MA Zhong-guo.An Experimental Study of the Shear Strength of Restrained PPC Box Girder Without Stirrups[J].Journal of Southwest Jiaotong University,1990,25(2):14-22.
[11]鲍旭初,孙文智,李海光,等.20 m跨径后张法宽幅空心板单梁抗剪破坏性试验研究[J].公路交通科技(应用技术版),2012,8(6):61-63.
BAO Xu-chu,SUN Wen-zhi,LI Hai-guang,et al.Experimental Study on Shear Destructive Strength of 20 m Span Wide-width Hollow Slab Single Beam by Post-tensioning Method[J].Highway Traffic Technology(Application Technology Edition),2012,8(6):61-63.
[12]DE SILVA S,MUTSUYOSHI H,WITCHUKREANGKRAI E.Evaluation of Shear Crack Width in I-shaped Prestressed Reinforced Concrete Beams[J].Journal of Advanced Concrete Technology,2008,6(3):443-458.
[13]DE WILDER K,DE ROECK G,VANDEWALLE L.Experimental Analysis of the Shear Behaviour of Prestressed and Reinforced Concrete Beams[J].European Journal of Environmental and Civil Engineering,2018,22(3):288-314.
[14]DI J,SUN Y F,YU K,et al.Experimental Investigation of Shear Performance of Existing PC Hollow Slab[J].Engineering Structures,2020,211:110451.
[15]ZHENG H,FANG Z,CHEN B.Experimental Study on Shear Behavior of Prestressed Reactive Powder Concrete I-girders[J].Frontiers of Structural and Civil Engineering,2019,13(3):618-627.
[16]WANG J W,LIU J L,ZHANG G H,et al.Method for Computing the Shear Capacity of Prestressed Reinforced Concrete Beams Based on Truss-arch Model[J].International Journal of Structural Integrity,2018,9(5):574-586.
[17]KIM K S.Shear Behavior of Reinforced Concrete Beams and Prestressed Concrete Beams[D].Urbana-Champaign:University of Illinois at Urbana-Champaign,2004.
[18]贾艳敏,刘金亮,王佳伟.先张法PC空心板剪压区裂缝分析及计算[J].世界桥梁,2017,45(2):66-71.
JIA Yan-min,LIU Jin-liang,WANG Jia-wei.Analysis and Calculation of Cracks in Shear-compression Zone of Pre-tensioned Voided PC Slabs[J].World Bridges,2017,45(2):66-71.
[19]胡 勇.装配整体式预应力混凝土梁抗剪性能试验研究[D].南宁:广西大学,2018.
HU Yong.Experimental Research on Shear Resistance Performance of Assembled Monolithic Prestressed Concrete Beam[D].Nanning:Guangxi University,2018.
[20]MARTIN O.Bayesian Analysis with Python Introduction to Statistical Modeling and Probabilistic Programming Using PyMC3 and ArviZ[M].2nd ed.Birmingham:Packt Publishing Ltd.,2018.
[21]韦来生.贝叶斯统计[M].北京:高等教育出版社,2016.
WEI Lai-sheng.Bayesian Statistics[M].Beijing:Higher Education Press,2016.
[22]HE Z Q,LIU Z,JOHN MA Z.Simplified Shear Design of Slender Reinforced Concrete Beams with Stirrups[J].Journal of Structural Engineering,2016,142(2):06015003.
[23]NAAMAN A.Prestressed Concrete Analysis and Design Fundamentals[M].2nd ed.Daejeon:Techno Press,1982.
[24]公路工程结构可靠度设计统一标准:GB/T 50283—1999[S].北京:中国计划出版社,1999.
Unified Standard for Reliability Design of Highway Engineering Structures:GB/T 50283—1999[S].Beijing:China Planning Press,1999.
[25]VILLAMIZAR S,RAMIREZ J A,AGUILAR G.Shear Strength and Behavior of High-strength Concrete Prestressed Beams[J].ACI Structural Journal,2016,114(1):277-289.
[26]KAUFMAN M,RAMIREZ J.Production and Engineering Properties of Concrete Used in Precast Prestressed I-beams for the State of Indiana,Volume I[R].West Lafayette:Purdue University,1988.
[27]吴 涛,刘 喜,邢国华.基于贝叶斯理论的钢筋混凝土柱受剪承载力计算[J].工程力学,2013,30(5):195-201,206.
WU Tao,LIU Xi,XING Guo-hua.Study on the Shear Capacity of Reinforced Concrete Column Based on Bayesian Theory[J].Engineering Mechanics,2013,30(5):195-201,206.

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Last Update: 2022-09-30