基于挠度的体外预应力梁应力增量分析方法
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摘要
由于体外预应力结构体系与有粘结和无粘结预应力结构体系相比较而言,具有很多优点,近年来这种结构形式在世界范围内得到了广泛的运用和不断的创新。然而,从现有资料看,我国对这一新技术的研究和应用多限于既有结构的加固,对新建体外预应力结构的力学性能的研究还不够深入。本文在分析研究国内外大量试验研究资料、设计规范以及相关文献的基础上,通过对五根简支梁和四根两跨连续梁的试验,较系统地研究分析了应力增量和挠度变形计算的原理与方法,具体研究工作如下:
简述了体外预应力混凝土结构的发展和研究现状,综合分析了体外预应力结构在极限承载力下的各种计算理论,并讨论了各自的优缺点。
在荷载作用下体外力筋的位移和梁截面无关,体外力筋的应力变化可以通过整根梁的变形协调条件得到。通过对应力增量与挠度变化内在规律的分析,推导出了不同布筋形式、不同加载方式下的基于挠度变化的应力增量计算公式,该公式适用于简支梁、超静定梁。
精心设计制作了九根体外预应力混凝土梁,包括5根简支梁、4根两跨连续梁,并对它们进行了静载试验。试验中量测了梁的位移、混凝土的应变以及体外筋的应力增量等关键数据,并对试验结果进行了分析。试验结果分析发现,体外力筋的应力增量与梁跨中挠度成直线或近似直线关系。
对比体外预应力筋应力增量计算值和试验值后发现,基于挠度变化的应力增量计算公式与试验结果相比,精度大体接近。
Compared with traditional prestressing, external prestressing system has its own merits. That is why this kind of structure has been widely used and constantly innovated all over the world in recent years. But, As far As existing information is concerned, the study and application of this new technique are almost limited in existing structural's strengthening, mechanical behavior studies of new concrete structural with external prestressing still lack very much. Based on the analysis of a large number of pilot studies at home and abroad research data, specifications, as well as the basis of ralated literature, through the five simply supported beam and four two-span continuous beam test, more systematic analysis of stress increment and deflection deformation of the principle and method of caculation, specific research work are as follows:
On the in vitro development of prestressed concrete structures and research, comprehensive analysis of externally prestressed structures at the ultimate bearing capacity under a wide variety of computing theory, and discussed their respective advantages and disadvantages.
At loads lower body external tendons of beam displacement and nothing to do with the stress in vitro tendon force can change the entire root beam deformation conditions are. Through the incremental stress and deflection analysis of the inherent law changes, derived from a different cloth reinforcement forms, under different loading mode changes based on the deflection formula for calculating the stress increment, the formula applies to simply supportes beams and statically indeterminate beams.
Specimens of 9 external prestressing concrete beams, including 5 simply-supported beams and 4 two-span continuous beams , and the static load tests were finished. Several critical dates as deformations,strains of the beams and the stress increments of external tendons were measured, and the test results were analyzed. Analysis of test results found that in vitro ten don force and the stress increment in the deflection of beam cross-linear or approximate linear relationship.
After comparing calculated values with experimental values of stress incremeng of exermally prestressed tendons. based on the deflection formula for calculating the stress increment by this formula is almost as accurate as the result of the test.
简述了体外预应力混凝土结构的发展和研究现状,综合分析了体外预应力结构在极限承载力下的各种计算理论,并讨论了各自的优缺点。
在荷载作用下体外力筋的位移和梁截面无关,体外力筋的应力变化可以通过整根梁的变形协调条件得到。通过对应力增量与挠度变化内在规律的分析,推导出了不同布筋形式、不同加载方式下的基于挠度变化的应力增量计算公式,该公式适用于简支梁、超静定梁。
精心设计制作了九根体外预应力混凝土梁,包括5根简支梁、4根两跨连续梁,并对它们进行了静载试验。试验中量测了梁的位移、混凝土的应变以及体外筋的应力增量等关键数据,并对试验结果进行了分析。试验结果分析发现,体外力筋的应力增量与梁跨中挠度成直线或近似直线关系。
对比体外预应力筋应力增量计算值和试验值后发现,基于挠度变化的应力增量计算公式与试验结果相比,精度大体接近。
Compared with traditional prestressing, external prestressing system has its own merits. That is why this kind of structure has been widely used and constantly innovated all over the world in recent years. But, As far As existing information is concerned, the study and application of this new technique are almost limited in existing structural's strengthening, mechanical behavior studies of new concrete structural with external prestressing still lack very much. Based on the analysis of a large number of pilot studies at home and abroad research data, specifications, as well as the basis of ralated literature, through the five simply supported beam and four two-span continuous beam test, more systematic analysis of stress increment and deflection deformation of the principle and method of caculation, specific research work are as follows:
On the in vitro development of prestressed concrete structures and research, comprehensive analysis of externally prestressed structures at the ultimate bearing capacity under a wide variety of computing theory, and discussed their respective advantages and disadvantages.
At loads lower body external tendons of beam displacement and nothing to do with the stress in vitro tendon force can change the entire root beam deformation conditions are. Through the incremental stress and deflection analysis of the inherent law changes, derived from a different cloth reinforcement forms, under different loading mode changes based on the deflection formula for calculating the stress increment, the formula applies to simply supportes beams and statically indeterminate beams.
Specimens of 9 external prestressing concrete beams, including 5 simply-supported beams and 4 two-span continuous beams , and the static load tests were finished. Several critical dates as deformations,strains of the beams and the stress increments of external tendons were measured, and the test results were analyzed. Analysis of test results found that in vitro ten don force and the stress increment in the deflection of beam cross-linear or approximate linear relationship.
After comparing calculated values with experimental values of stress incremeng of exermally prestressed tendons. based on the deflection formula for calculating the stress increment by this formula is almost as accurate as the result of the test.
引文
[1]M.Harajli,N.Khairallah,H.Nassif.Externally Prestressed Members:Eva-luation of Second-order Effects[J].Journal of Structural Engineering 1999,125(10):1151-1161
[2]李德慧.体外预应力简支梁受弯性能研究及极限承载力分析[D]:长沙理工大学硕士论文.长沙:长沙理工大学桥梁与结构工程学院,2004
[3]Mohamed H.Harajil,Mounir E.Mabsout,Jack A.Al-Hajj,Response of Ex-ternallyPost-Tensioned Continuous Members[J].ACI Structural Journal,2002,99(5):671-680
[4]Angel C.Aparicio,Gonzalo Ramos,Juan R.Casas,Testing of Externally Pre-stressed Concrete Beams[J].Engineering Structures,24(2002):73-84
[5]李传习,李德慧,贺玲凤.体外预应力索索力计算的新方法[J].土木工程学报,2005,38(6):54-58
[6]Andrea Dall'Astea,Alessandro Zona,Finite Element Model for Externally Prestressed Composite Beams with Deformable Connection[J].Journal of Str-uctrual Engineering,2005,131(5):706-714
[7]李国平.桥梁预应力混凝土技术及设计原理[M].人民交通出版社,2004
[8]中华人民共和国行业标准.公路桥涵施工技术规范[S](JTJ041-2000).北京:中国建筑工业出版社,2000
[9]何雄君,邵吉林,何本万等.预应力混凝土桥梁钢混协作关系研究[J].武汉理工大学学报,2004,28(3):330-332
[10]王宗林.外预应力混凝土桥梁极限状态分析[D]:哈尔滨工业大学博士论文.哈尔滨:哈尔滨工业大学,2001
[11]黄弘读.采用虚拟层合法分析钢筋混凝土结构的极限承载力[D].浙江大学博士论文.杭州:浙江大学,2001
[12]张耀庭,邱继生,黄恒卫.体外预应力混凝土梁的研究现状综述[J].华中科技大学学报(城市科学版),2002,19(4):86-91
[13]李红利.节段施工体外预应力桥梁力学性能研究及面向对象的程序设计[D]:长沙理工大学硕士论文.长沙:长沙理工大学桥梁与结构工程学院,2006
[14]Panell F.N.Ultimate moment of ersistance of unbonded prestressed concrete beams[J].Magazine of Concrete Research,1969,21(66):43-54
[15]Du Gongchen and Tao Xuekang.Ultimate stress of unbonded partially prestressed concrete beams[J].PCI Journal,1985,30(6):72-91
[16]Tarn A.pannell F.N.Ultimate of resistance of unbonded par-tially prstressed reinforced conment of unbooded Par-tially prsrtessed reinforced concrete beams[J].Magazine of Concrete Re-search,1976,28(97):203-208
[17]Gonzlo Ramos,et al.Ultimate behavior of externally prestressed conerete bridges[J].Struetural Engineering International,1995(3):175-177
[18]杜进生,赖国麟.无粘结部分预应力混凝土受弯构件正截面抗弯强度计算方法的研究[J],桥梁建设,1997,(3):13-15
[19]Ament J,Chakrabarti P.R,Putcha C.S.Comparative statistical study for the ultimate stress in unbonded post tensioning[J].ACI Structural Joumal,1997,94(2):211-217
[20]Du Gongchen,Tao Xuekang.Ultimate stress of unbonded Partially Pre-stressed concrete barms[J].PCI JOURNAL,1985,30(6):72-91
[21]Harajli M.H.ffect ofspan-depth ratio on the ultimate steel stress in unbonded Prestressed concrete members[J].ACI Structural Jounal,1990,97(3):305-312
[22]Naaman A.E,Alkhairi F.M.Stress at ultimate in unbonded post-ten-sioning tendons:Part2-proposed methodology[J].ACI Structural Joumal,1991,88(6):683-692.
[23]Chkrabarti P.R,Ultimate stress of unbonded tendons in Partially Per-stressed benas[J].ACI Structural Jounal,1995,92(6):689一697
[24]杜进生,刘西拉.体外及无粘结预应力筋极限应力研究进展[J].公路交通科技,2002
[25]Harajli M.H.Strerlthening of concrete beams by external prestressing[J].PCI Joumal,1993,38(6):76-88.
[26]Allouche E.N,Campbell T1,Green M F,Soudkj K A.Tendon stress in continuous unbonded Prestressed concrete menbers-Part2[J],parametric study PCI Joumal,1999,45(1):80-73.
[27]贺志启,刘钊,王景全.基于挠度的体外预应力梁应力增量统一算法[J].土木工程学报,2008,9:90-96
[28]AASHTO LRFD Bridge Specifications[S].Washington:American Association of State Highway and Transportation Officials,1994
[30]杜进生,刘西拉.基于结构变形的无黏结预应力筋应力变化研究[J].土木工程学报,2003,36(8):12-19
[31]王景全,刘钊,吕志涛.基于挠度的体外与体内无黏结预应力筋应力增量[J].东南大学学报,2005,35(6):915-919
[32]Du Gongchen,Tao Xuekang.Ultimate stress of unbondedpartially prestressed concrete beams[J].PCI Journal,1985,30(6):72-91
[33]Alkhairi F.M.On the flexural behavior of concrete beams prestressed with unbonded internal and external tendons[D].Michigan:The University of Michigan,1991:340-343
[34]杨莉.体外预应力连续梁受力行为研究[D].成都:西南交通大学,2005:134-137
[35]Ghallab A,Beeby AW.Factors affecting the external prestressing stress in externally strengthened prestressed concrete beams[J].Cement & Concrete Composites,2005(27):945-957
[36]王云飞,孟少平,贾卉琳等.体外预应力加固混凝土简支梁的反拱挠度分析[J].东南大学学报(自然科学版),2007,37(6):1032-1035
[37]宋玉普.新型预应力混凝土结构[M].北京:机械工业出版社,2005
[38]丁大钧,蒋永生,蓝宗建.钢筋混凝土构件抗裂度、裂缝和刚度[M].南京:南京工学院出版社,1986
[39]中华人民共和国行业标准.混凝土结构设计规范[S](GB50010-2002).北京:中国建筑工业出版社,2002
[40]邱继生,张耀庭,黄恒卫.体外预应力混凝土梁短期挠度的计算[J].特种结构,2003(1):34-37
[41]中华人民共和国行业标准.《无粘结预应力混凝土结构技术规程》[S](JGJ92-2004J409-2005).北京:中国建筑工业出版社,2004
[2]李德慧.体外预应力简支梁受弯性能研究及极限承载力分析[D]:长沙理工大学硕士论文.长沙:长沙理工大学桥梁与结构工程学院,2004
[3]Mohamed H.Harajil,Mounir E.Mabsout,Jack A.Al-Hajj,Response of Ex-ternallyPost-Tensioned Continuous Members[J].ACI Structural Journal,2002,99(5):671-680
[4]Angel C.Aparicio,Gonzalo Ramos,Juan R.Casas,Testing of Externally Pre-stressed Concrete Beams[J].Engineering Structures,24(2002):73-84
[5]李传习,李德慧,贺玲凤.体外预应力索索力计算的新方法[J].土木工程学报,2005,38(6):54-58
[6]Andrea Dall'Astea,Alessandro Zona,Finite Element Model for Externally Prestressed Composite Beams with Deformable Connection[J].Journal of Str-uctrual Engineering,2005,131(5):706-714
[7]李国平.桥梁预应力混凝土技术及设计原理[M].人民交通出版社,2004
[8]中华人民共和国行业标准.公路桥涵施工技术规范[S](JTJ041-2000).北京:中国建筑工业出版社,2000
[9]何雄君,邵吉林,何本万等.预应力混凝土桥梁钢混协作关系研究[J].武汉理工大学学报,2004,28(3):330-332
[10]王宗林.外预应力混凝土桥梁极限状态分析[D]:哈尔滨工业大学博士论文.哈尔滨:哈尔滨工业大学,2001
[11]黄弘读.采用虚拟层合法分析钢筋混凝土结构的极限承载力[D].浙江大学博士论文.杭州:浙江大学,2001
[12]张耀庭,邱继生,黄恒卫.体外预应力混凝土梁的研究现状综述[J].华中科技大学学报(城市科学版),2002,19(4):86-91
[13]李红利.节段施工体外预应力桥梁力学性能研究及面向对象的程序设计[D]:长沙理工大学硕士论文.长沙:长沙理工大学桥梁与结构工程学院,2006
[14]Panell F.N.Ultimate moment of ersistance of unbonded prestressed concrete beams[J].Magazine of Concrete Research,1969,21(66):43-54
[15]Du Gongchen and Tao Xuekang.Ultimate stress of unbonded partially prestressed concrete beams[J].PCI Journal,1985,30(6):72-91
[16]Tarn A.pannell F.N.Ultimate of resistance of unbonded par-tially prstressed reinforced conment of unbooded Par-tially prsrtessed reinforced concrete beams[J].Magazine of Concrete Re-search,1976,28(97):203-208
[17]Gonzlo Ramos,et al.Ultimate behavior of externally prestressed conerete bridges[J].Struetural Engineering International,1995(3):175-177
[18]杜进生,赖国麟.无粘结部分预应力混凝土受弯构件正截面抗弯强度计算方法的研究[J],桥梁建设,1997,(3):13-15
[19]Ament J,Chakrabarti P.R,Putcha C.S.Comparative statistical study for the ultimate stress in unbonded post tensioning[J].ACI Structural Joumal,1997,94(2):211-217
[20]Du Gongchen,Tao Xuekang.Ultimate stress of unbonded Partially Pre-stressed concrete barms[J].PCI JOURNAL,1985,30(6):72-91
[21]Harajli M.H.ffect ofspan-depth ratio on the ultimate steel stress in unbonded Prestressed concrete members[J].ACI Structural Jounal,1990,97(3):305-312
[22]Naaman A.E,Alkhairi F.M.Stress at ultimate in unbonded post-ten-sioning tendons:Part2-proposed methodology[J].ACI Structural Joumal,1991,88(6):683-692.
[23]Chkrabarti P.R,Ultimate stress of unbonded tendons in Partially Per-stressed benas[J].ACI Structural Jounal,1995,92(6):689一697
[24]杜进生,刘西拉.体外及无粘结预应力筋极限应力研究进展[J].公路交通科技,2002
[25]Harajli M.H.Strerlthening of concrete beams by external prestressing[J].PCI Joumal,1993,38(6):76-88.
[26]Allouche E.N,Campbell T1,Green M F,Soudkj K A.Tendon stress in continuous unbonded Prestressed concrete menbers-Part2[J],parametric study PCI Joumal,1999,45(1):80-73.
[27]贺志启,刘钊,王景全.基于挠度的体外预应力梁应力增量统一算法[J].土木工程学报,2008,9:90-96
[28]AASHTO LRFD Bridge Specifications[S].Washington:American Association of State Highway and Transportation Officials,1994
[30]杜进生,刘西拉.基于结构变形的无黏结预应力筋应力变化研究[J].土木工程学报,2003,36(8):12-19
[31]王景全,刘钊,吕志涛.基于挠度的体外与体内无黏结预应力筋应力增量[J].东南大学学报,2005,35(6):915-919
[32]Du Gongchen,Tao Xuekang.Ultimate stress of unbondedpartially prestressed concrete beams[J].PCI Journal,1985,30(6):72-91
[33]Alkhairi F.M.On the flexural behavior of concrete beams prestressed with unbonded internal and external tendons[D].Michigan:The University of Michigan,1991:340-343
[34]杨莉.体外预应力连续梁受力行为研究[D].成都:西南交通大学,2005:134-137
[35]Ghallab A,Beeby AW.Factors affecting the external prestressing stress in externally strengthened prestressed concrete beams[J].Cement & Concrete Composites,2005(27):945-957
[36]王云飞,孟少平,贾卉琳等.体外预应力加固混凝土简支梁的反拱挠度分析[J].东南大学学报(自然科学版),2007,37(6):1032-1035
[37]宋玉普.新型预应力混凝土结构[M].北京:机械工业出版社,2005
[38]丁大钧,蒋永生,蓝宗建.钢筋混凝土构件抗裂度、裂缝和刚度[M].南京:南京工学院出版社,1986
[39]中华人民共和国行业标准.混凝土结构设计规范[S](GB50010-2002).北京:中国建筑工业出版社,2002
[40]邱继生,张耀庭,黄恒卫.体外预应力混凝土梁短期挠度的计算[J].特种结构,2003(1):34-37
[41]中华人民共和国行业标准.《无粘结预应力混凝土结构技术规程》[S](JGJ92-2004J409-2005).北京:中国建筑工业出版社,2004