中美欧钢筋混凝土梁受剪承载力设计公式可靠度比较
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摘要
采用考虑基本变量概率分布类型的一次二阶矩方法,对GB 50010—2010《混凝土结构设计规范》、ACI 318-14《混凝结构建筑规范要求和说明》和EN 1992-1-1∶2004《混凝土结构的设计》中钢筋混凝土梁受剪承载力计算式进行可靠度分析比较,结果表明:对于剪跨比不小于2. 0的集中荷载作用下有腹筋梁受剪承载力,GB 50010—2010算式的可靠指标最大且能满足GB 50068—2001《建筑结构可靠度设计统一标准》的要求,而EN 1992-1-1∶2004算式的可靠指标低于目标可靠指标。对于均布荷载作用下有腹筋梁的受剪承载力,几部标准算式的可靠指标都明显高于目标可靠指标。
The first-order second-moment method considering the probability distribution of basic variables was adopted for reliability analysis of the shear design provisions in GB 50010—2010,ACI 318-14 and EN 1992-1-1 ∶2004. The results indicated: for specimens with stirrups subjected to one or two concentrated loads,the reliability index of the shear design provision in GB 50010—2010 was larger than that of ACI 318-14 and EN 1992-1-1 ∶2004 when the shear span-depth ratios of beams were not less than 2. 0,which could meet the basic requirements of the GB 50068—2001. However,the reliability indexes of the shear design provision in EN 1992-1-1 ∶ 2004 were lower than the target reliability index. For specimens with stirrups under uniformly distributed loads,the reliability index of each formula was obviously higher than the target reliability index.
The first-order second-moment method considering the probability distribution of basic variables was adopted for reliability analysis of the shear design provisions in GB 50010—2010,ACI 318-14 and EN 1992-1-1 ∶2004. The results indicated: for specimens with stirrups subjected to one or two concentrated loads,the reliability index of the shear design provision in GB 50010—2010 was larger than that of ACI 318-14 and EN 1992-1-1 ∶2004 when the shear span-depth ratios of beams were not less than 2. 0,which could meet the basic requirements of the GB 50068—2001. However,the reliability indexes of the shear design provision in EN 1992-1-1 ∶ 2004 were lower than the target reliability index. For specimens with stirrups under uniformly distributed loads,the reliability index of each formula was obviously higher than the target reliability index.
引文
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[20]SZERSZEN M M,NOWAK A S.Calibration of Design Code for Buildings(ACI 318):Part 2:Reliability Analysis and Resistance Factors[J].ACI Structural Journal,2003,100(3):383-391.
[21]SAKO.Design Basis of Structures:Proposal for Modification of Partial Safety Factors in Eurocodes[R].New York:Joint Committee of NKB and INSTA-B,1999:1-15.
[22]British Standards Institution.Basis of Structural Design:EN 1990∶2002[S].London:BSI,2002:45-55,88.
[23]ASCE.Minimum Design Loads for Buildings and Other Structures:ASCE/SEI 7-10[S].Reston:American Society of Civil Engineers,2005:374.
[24]ELLINGWOOD B,GALAMBOS T V,MACGREGOR J G,et al.Development of a Probability Based Load Criterion for American National Standard A58[M].Washington D.C.:National Bureau of Standards Special Publication,1980:132,140-141.
[2]田磊,贡金鑫,魏巍巍.国内外钢筋混凝土构件受剪承载力可靠度的对比分析[J].工业建筑,2010,40(8):132-138,117.
[3]中国建筑科学研究院.钢筋混凝土构件试验数据集:85年设计规范背景资料续编[M].北京:中国建筑工业出版社,1985:25-59.
[4]袁健,易伟建.钢筋混凝土梁受剪承载力可靠度分析[J].建筑结构学报,2017,38(4):109-128.
[5]中华人民共和国住房和城乡建设部.混凝土结构设计规范:GB 50010-2010[S].北京:中国建筑工业出版社,2010.
[6]中华人民共和国建设部.建筑结构可靠度设计统一标准:GB50068-2001[S].北京:中国建筑工业出版社,2001.
[7]ACI.Building Code Requirements for Structural Concrete and Commentary:ACI 318-14[S].Farmington Hills,MI:American Concrete Institute,2014.
[8]CEN.Design of Concrete Structures-Part 1-1:General Rules and Rules for Buildings:EN 1992-1-1:2004[S].Brussels:European Committee for Standardization,2004.
[9]NOWAK A S,SZERSZEN M M.Calibration of Design Code for Buildings(ACI 318):Part 1:Statistical Models for Resistance[J].ACI Structural Journal,2003,100(3):377-382.
[10]SAKO.Investigation by BRE(Using Reliablity Analysis)of the Combination Rules Provided in EN 1990[R].New York:Joint Committee of NKB and INSTA-B,2002:1-20.
[11]中华人民共和国建设部.建筑结构设计统一标准:GBJ 68-84[S].北京:中国建筑工业出版社,1984.
[12]贡金鑫,魏巍巍.工程结构可靠性设计原理[M].北京:机械工业出版社,2007:165.
[13]KANI G N J.Basic Facts Concerning Shear Failure[J].ACIJournal,1966,63(6):675-692.
[14]ZARARIS P D,ZARARIS I P.Shear Strength of Reinforced Concrete Beams Under Uniformly Distributed Loads[J].ACIStructural Journal,2008,105(6):711-719.
[15]COLLINS M P,BENTZ E C,SHERWOOD E G.Where is Shear Reinforcement Required?Review of Research Results and Design Procedures(Appendix)[J].ACI Structural Journal,2008,105(5):590-600.
[16]ACI-ASCE Committee 326.Shear and Diagonal Tension[J].ACIJournal,1962,59(2):277-334.
[17]KOVCS I.Experiences on the Shear Model of Fib Model Code2010[C]//Proceedings of the 41th Anniversary Faculty of Civil Engineering.Subotica:2015:226-231.
[18]ZARARIS P D,ZARARIS I P.Shear Strength of Reinforced Concrete Slender Beams with or Without Axial Forces:a Generalized Theory[J].ACI Structural Journal,2009,106(6):782-789.
[19]中华人民共和国住房和城乡建设部.建筑结构荷载规范:GB50009-2012[S].北京:中国建筑工业出版社,2012.
[20]SZERSZEN M M,NOWAK A S.Calibration of Design Code for Buildings(ACI 318):Part 2:Reliability Analysis and Resistance Factors[J].ACI Structural Journal,2003,100(3):383-391.
[21]SAKO.Design Basis of Structures:Proposal for Modification of Partial Safety Factors in Eurocodes[R].New York:Joint Committee of NKB and INSTA-B,1999:1-15.
[22]British Standards Institution.Basis of Structural Design:EN 1990∶2002[S].London:BSI,2002:45-55,88.
[23]ASCE.Minimum Design Loads for Buildings and Other Structures:ASCE/SEI 7-10[S].Reston:American Society of Civil Engineers,2005:374.
[24]ELLINGWOOD B,GALAMBOS T V,MACGREGOR J G,et al.Development of a Probability Based Load Criterion for American National Standard A58[M].Washington D.C.:National Bureau of Standards Special Publication,1980:132,140-141.