圆钢管UHPC短柱轴压承载力与变形能力计算模型
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摘要
根据力的平衡和变形协调,推导出钢管折减系数和核心混凝土增强系数的解析表达式,研究圆钢管约束对超高性能混凝土(UHPC)轴压强度的增强作用和环向应力对圆钢管轴压强度的折减作用;建立圆钢管UHPC短柱轴压承载力计算模型,并与已有的规范方法进行比较;基于Mander模型,根据横向约束等效原则,建立圆钢管约束UHPC单轴受压本构模型,并利用理想弹塑性模型建立能够考虑环向应力影响的圆钢管单轴受压本构模型,实现对圆钢管UHPC短柱轴压受力全过程的模拟,并与试验结果进行比较。研究结果表明:与规范方法相比,承载力模型能够更好地兼顾计算精度和可靠度;利用变形能力计算模型得到的全过程荷载-位移曲线与试验结果较吻合。
Due to force equilibrium and deformation compatibility, the expressions of steel tube reduction coefficient and core concrete strengthen coefficient were deduced to study the improvement of confinement of steel tube on axial strength of ultra high performance concrete(UHPC) and the reduction of circumferential stress on axial strength of steel tube. Based on the above two factors, an analytic model for load capacity of circular UHPC filled steel tube stub columns was established, and the proposed model was compared with several conventional standard methods. According to the equivalence principle of transverse confinement, the axial compressive constitutive model was established for circular steel tube confined UHPC based on Mander model. Ideal elastic-plastic model was modified to take the effect of circumferential stress into account for the axial compressive constitutive model of circular steel tube. The two above models were used to simulate the axial compressive load-deformation curve of short columns with circular UHPC filled steel tube. The results show that compared with several methods given by standards, the axial load capacity model shows good calculation precision and reliability, the axial compressive load-deformation curve given by the proposed model is in good agreement with that of trial results.
Due to force equilibrium and deformation compatibility, the expressions of steel tube reduction coefficient and core concrete strengthen coefficient were deduced to study the improvement of confinement of steel tube on axial strength of ultra high performance concrete(UHPC) and the reduction of circumferential stress on axial strength of steel tube. Based on the above two factors, an analytic model for load capacity of circular UHPC filled steel tube stub columns was established, and the proposed model was compared with several conventional standard methods. According to the equivalence principle of transverse confinement, the axial compressive constitutive model was established for circular steel tube confined UHPC based on Mander model. Ideal elastic-plastic model was modified to take the effect of circumferential stress into account for the axial compressive constitutive model of circular steel tube. The two above models were used to simulate the axial compressive load-deformation curve of short columns with circular UHPC filled steel tube. The results show that compared with several methods given by standards, the axial load capacity model shows good calculation precision and reliability, the axial compressive load-deformation curve given by the proposed model is in good agreement with that of trial results.
引文
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[17]蔡绍怀.现代钢管混凝土结构[M].人民交通出版社,2003:45-54.CAI Shaohuai.Modern steel tube confined concrete structures[M].China Communications Press,2003:45-54.
[18]SAKINO K,NAKAHARA H,MORINO S,et al.Behavior of centrally loaded concrete-filled steel-tube short columns[J].Journal of Structural Engineering,2004,130(2):180-188.
[19]周绪红,刘界鹏,张素梅.圆钢管约束钢筋混凝土短柱的轴压力学性能[J].工程力学,2009,26(11):53-59.ZHOU Xuhong,LIU Jiepeng,ZHANG Sumei.Behavior of circular tubed reinforced concrete stub columns under axial compression[J].Engineering Mechanics,2009,26(11):53-59.
[20]BS EN 1994-1-1:2004,Eurocode 4:design of composite steel and concrete structures-part 1-1,general rules and rules for buildings[S].
[21]FEHLING E,SCHMIDT M,WALRAVEN J,et al.Ultra-high performance concrete UHPC:fundamentals,design,examples[M].Berlin,Germany:John Wiley&Sons,2014:44.
[22]CHOI K K,XIAO Y.Analytical studies of concrete-filled circular steel tubes under axial compression[J].Journal of Structural Engineering,2009,136(5):565-573.
[23]CECS28:2012,钢管混凝土结构设计与施工规程[S].CECS28:2012,Technical specification for concrete-filled steel tubular structures[S].
[24]MANDER J B,PRIESTLEY M J N,PARK R.Theoretical stress-strain model for confined concrete[J].Journal of Structural Engineering,1988,114(8):1804-1826.
[25]SUGANO S,KIMURA H,SHIRAI K.Study of new RCstructures using ultra-high-strength fiber-reinforced concrete(UFC)-The challenge of applying 200 MPa UFC to earthquake resistant building structures[J].Journal of Advanced Concrete Technology,2007,5(2):133-147.
[2]GRAYBEAL B A.Compressive behavior of ultra-high-performance fiber-reinforced concrete[J].ACIMaterials Journal,2007,104(2):146-152.
[3]GRAYBEAL B A,BABY F.Development of direct tension test method for ultra-high-performance fiber-reinforced concrete[J].ACI Materials Journal,2013,110(2):177-186.
[4]张哲,邵旭东,李文光,等.超高性能混凝土轴拉性能试验[J].中国公路学报,2015,28(8):50-58.ZHANG Zhe,SHAO Xudong,LI Wenguang,et al.Axial tensile behavior test of ultra high performance concrete[J].China Journal of Highway and Transport,2015,28(8):50-58.
[5]徐世烺,蔡向荣,张英华.超高韧性水泥基复合材料单轴受压应力-应变全曲线试验测定与分析[J].土木工程学报,2009,42(11):79-85.XU Shilang,CAI Xiangrong,ZHANG Yinghua.Experimental measurement and analysis of the axial compressive stress-strain curve of ultra high toughness cementitious composites[J].China Civil Engineering Journal,2009,42(11):79-85.
[6]徐世烺,李贺东.超高韧性水泥基复合材料研究进展及其工程应用[J].土木工程学报,2008,41(6):45-60.XU Shilang,LI Hedong.A review on the development of research and application of ultra high toughness cementitious composites[J].China Civil Engineering Journal,2008,41(6):45-60.
[7]郑文忠,吕雪源.活性粉末混凝土研究进展[J].建筑结构学报,2015,36(10):44-58.ZHEN Wenzhong,LüXueyuan.Literature review of reactive powder concrete[J].Journal of Building Structures,2015,36(10):44-58.
[8]金何伟,刘中宪,刘申永,等.钢管超高强钢纤维混凝土柱抗爆性能试验研究[J].建筑结构,2016,46(4):45-49.JIN Hewei,LIU Zhongxian,LIU Shenyong,et al.Experimental study of ultra-high performance fiber reinforced concrete filled steel tube columns under blast loading[J].Building Structures,2016,46(4):45-49.
[9]吴炎海,林震宇.钢管活性粉末混凝土轴压短柱受力性能试验研究[J].中国公路学报,2005,18(1):57-62.WU Yanhai,LIN Zhenyu.Experimental study of behavior on RPC filled steel tubular stub columns under axial compression[J].China Journal of Highway and Transport,2005,18(1):57-62.
[10]林震宇,吴炎海,沈祖炎.圆钢管活性粉末混凝土轴压力学性能研究[J].建筑结构学报,2005,26(4):52-57.LIN Zhenyu,WU Yanhai,SHEN Zuyan.Research on behavior of RPC filled circular steel tube columns subjected to axial compression[J].Journal of Building Structures,2005,26(4):52-57.
[11]田志敏,张想柏,冯建文,等.钢管超高性能RPC短柱的轴压特性研究[J].地震工程与工程振动,2008,28(1):99-107.TIAN Zhimin,ZHANG Xiangbo,FENG Jianwen,et al.Characteristics of RPC-filled steel tubular puncheons with ultra high performance subjected to axial compressive loading[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(1):99-107.
[12]GULER S,?OPUR A,AYDOGAN M.Axial capacity and ductility of circular UHPC-filled steel tube columns[J].Magazine of Concrete Research,2013,65(15):898-905.
[13]罗华,季文玉,闫志刚,等.加载方式对钢管活性粉末混凝土短柱抗压性能影响的研究[J].铁道学报,2014,36(9):105-110.LUO Hua,JI Wenyu,YAN Zhigang,et al.Research on influence of loading methods on compressive behavior of reactive powder concrete filled steel tube stub columns under axial loads[J].Journal of the China Railway Society,2014,36(9):105-110.
[14]钟善桐.钢管混凝土结构[M].北京:清华大学出版社,2003:141-143.ZHONG Shantong.The concrete-filled steel tubular structures[M].Beijing:Tsinghua University Press,2003:141-143.
[15]韩林海,杨有福.现代钢管混凝土结构技术[M].中国建筑工业出版社,2007:83-85.HAN Linhai,YANG Youfu.Technology of modern steel tube concrete structure[M].China Building Industry Press,2007:83-85.
[16]ACI 318-05,Building code requirements for structural concrete and commentary[S].
[17]蔡绍怀.现代钢管混凝土结构[M].人民交通出版社,2003:45-54.CAI Shaohuai.Modern steel tube confined concrete structures[M].China Communications Press,2003:45-54.
[18]SAKINO K,NAKAHARA H,MORINO S,et al.Behavior of centrally loaded concrete-filled steel-tube short columns[J].Journal of Structural Engineering,2004,130(2):180-188.
[19]周绪红,刘界鹏,张素梅.圆钢管约束钢筋混凝土短柱的轴压力学性能[J].工程力学,2009,26(11):53-59.ZHOU Xuhong,LIU Jiepeng,ZHANG Sumei.Behavior of circular tubed reinforced concrete stub columns under axial compression[J].Engineering Mechanics,2009,26(11):53-59.
[20]BS EN 1994-1-1:2004,Eurocode 4:design of composite steel and concrete structures-part 1-1,general rules and rules for buildings[S].
[21]FEHLING E,SCHMIDT M,WALRAVEN J,et al.Ultra-high performance concrete UHPC:fundamentals,design,examples[M].Berlin,Germany:John Wiley&Sons,2014:44.
[22]CHOI K K,XIAO Y.Analytical studies of concrete-filled circular steel tubes under axial compression[J].Journal of Structural Engineering,2009,136(5):565-573.
[23]CECS28:2012,钢管混凝土结构设计与施工规程[S].CECS28:2012,Technical specification for concrete-filled steel tubular structures[S].
[24]MANDER J B,PRIESTLEY M J N,PARK R.Theoretical stress-strain model for confined concrete[J].Journal of Structural Engineering,1988,114(8):1804-1826.
[25]SUGANO S,KIMURA H,SHIRAI K.Study of new RCstructures using ultra-high-strength fiber-reinforced concrete(UFC)-The challenge of applying 200 MPa UFC to earthquake resistant building structures[J].Journal of Advanced Concrete Technology,2007,5(2):133-147.