FRP筋混凝土受弯构件挠度可靠度分析
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摘要
依据蒙特卡洛法可靠度计算理论,借助MATLAB工具,基于规范给出的挠度正常极限状态下的功能函数,通过具体计算实例,逐一改变跨度、高度、配筋率、混凝土等级,分析各随机变量对挠度可靠指标的影响。计算结果表明:对FRP筋混凝土受弯构件挠度可靠指标的影响由大至小依次为配筋率、弯矩效应比、截面高度、有效跨度、混凝土强度;配筋率应作为FRP筋受弯构件设计的重要指标,控制在0.5%左右;控制FRP混凝土受弯构件的跨高比能有效增加挠度控制的可靠指标。
Based on the Monte Carlo method of reliability calculation,using the MATLAB tool,according to the function of the normal limit state of deflection given by the specification and through specific calculation examples,the span,height,reinforcement ratio,concrete grade were changed one by one,and the influence of each random variable on the reliability index of deflection was analyzed.The calculation results show that the influences of FRP reinforced concrete flexural members on the reliability index from the largest to the smallest are the reinforcement ratio,the bending moment effect ratio,the section height,the effective span,and the concrete strength.The reinforcement ratio should be an important index for the design of flexural members of FRP bars,which is controlled at about 0.5%.The reliability index of deflection control can be effectively increased by controlling the cross-height ratio of FRP concrete flexural members.
Based on the Monte Carlo method of reliability calculation,using the MATLAB tool,according to the function of the normal limit state of deflection given by the specification and through specific calculation examples,the span,height,reinforcement ratio,concrete grade were changed one by one,and the influence of each random variable on the reliability index of deflection was analyzed.The calculation results show that the influences of FRP reinforced concrete flexural members on the reliability index from the largest to the smallest are the reinforcement ratio,the bending moment effect ratio,the section height,the effective span,and the concrete strength.The reinforcement ratio should be an important index for the design of flexural members of FRP bars,which is controlled at about 0.5%.The reliability index of deflection control can be effectively increased by controlling the cross-height ratio of FRP concrete flexural members.
引文
[1]Alsalloum Y A,Alsayed S H,Almusallam T H.Some design considerations for concrete beams reinforced by GFRP Bars[C]//Saadatmanesh H,Ehsani M R.Proceedings of the First International Conference on Composites in Infrastructure.Tucson:ICCI,1996:318-331.
[2]Aiello M A,Ombres L.Load-deflection analysis of frp reinforced concrete flexural members[J].Journal of Composites for Construction,2000,4(4):164-171.
[3]Adam M A,Said M,Mahmoud A A,et al.Analytical and experimental flexural behavior of concrete beams reinforced with glass fiber reinforced polymers bars[J].Construction and Building Materials,2015,84:354-366.
[4]GB50608-2010.纤维增强复合材料建设工程应用技术规范[S].北京:中国计划出版社,2010.
[5]刘喜,王征,吴涛.FRP筋混凝土梁挠度与裂缝宽度计算模型分析[J].建筑科学与工程学报,2017,34(5):163-170.
[6]朱虹,董志强,吴刚等.FRP筋混凝土梁的刚度试验研究和理论计算[J].土木工程学报,2015,48(11):44-53.
[7]姚继涛,解耀魁.结构可靠度分析中作用的随机过程组合方法[J].建筑结构学报,2013,34(2):125-130.
[8]姚继涛,刘伟,宋璨.混凝土受弯构件挠度控制可靠度分析[J].建筑结构学报,2017,38(9):154-159.
[9]狄生奎,杨万辉,王立宪,等.考虑挠度影响的钢筋混凝土楼板可靠度分析[J].兰州理工大学学报,2017,43(1):122-126.
[10]张丽波,郭将,刘晓.响应面法与蒙特卡洛法边坡可靠性评价方法对比研究[J].武汉大学学报(工学版),2016,49(5):779-786.
[11]GB 50010-2010.混凝土结构设计规范[S].北京:中国建筑工业出版社,2010.
[12]GB 50153-2008.工程结构可靠性设计统一标准[S].北京:中国建筑工业出版社,2010.
[13]何政,李光.基于可靠度的FRP筋材料分项系数的确定[J].工程力学,2008(9):214-223.
[14]GBJ 68-1984.建筑结构可靠度设计统一标准[S].北京:中国建筑工业出版社,1984.
[2]Aiello M A,Ombres L.Load-deflection analysis of frp reinforced concrete flexural members[J].Journal of Composites for Construction,2000,4(4):164-171.
[3]Adam M A,Said M,Mahmoud A A,et al.Analytical and experimental flexural behavior of concrete beams reinforced with glass fiber reinforced polymers bars[J].Construction and Building Materials,2015,84:354-366.
[4]GB50608-2010.纤维增强复合材料建设工程应用技术规范[S].北京:中国计划出版社,2010.
[5]刘喜,王征,吴涛.FRP筋混凝土梁挠度与裂缝宽度计算模型分析[J].建筑科学与工程学报,2017,34(5):163-170.
[6]朱虹,董志强,吴刚等.FRP筋混凝土梁的刚度试验研究和理论计算[J].土木工程学报,2015,48(11):44-53.
[7]姚继涛,解耀魁.结构可靠度分析中作用的随机过程组合方法[J].建筑结构学报,2013,34(2):125-130.
[8]姚继涛,刘伟,宋璨.混凝土受弯构件挠度控制可靠度分析[J].建筑结构学报,2017,38(9):154-159.
[9]狄生奎,杨万辉,王立宪,等.考虑挠度影响的钢筋混凝土楼板可靠度分析[J].兰州理工大学学报,2017,43(1):122-126.
[10]张丽波,郭将,刘晓.响应面法与蒙特卡洛法边坡可靠性评价方法对比研究[J].武汉大学学报(工学版),2016,49(5):779-786.
[11]GB 50010-2010.混凝土结构设计规范[S].北京:中国建筑工业出版社,2010.
[12]GB 50153-2008.工程结构可靠性设计统一标准[S].北京:中国建筑工业出版社,2010.
[13]何政,李光.基于可靠度的FRP筋材料分项系数的确定[J].工程力学,2008(9):214-223.
[14]GBJ 68-1984.建筑结构可靠度设计统一标准[S].北京:中国建筑工业出版社,1984.