剪压复合作用下砌体的静力与抗震抗剪强度
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摘要
该文以经典的库仑破坏、主拉应力破坏和主压应力破坏理论为基础,引入模糊数学中模糊理论,首次提出将砌体在剪压复合作用下的剪摩、剪压和斜压三类破坏划分为两个破坏区,即剪摩-剪压破坏区和剪压-斜压破坏区。运用权函数将对应于不同破坏形态的经典破坏理论有机地结合起来,推导出相应的砌体在剪压复合作用下的抗剪强度公式,并加以简化。经对比表明,计算曲线与试验结果吻合良好。同时,针对现行《砌体结构设计规范》和《建筑抗震设计规范》中关于砌体抗剪强度设计值计算上存在的一些问题,提出了基于上述破坏区理论的砌体静力与抗震抗剪强度设计值公式。计算结果表明,该公式不仅简单,偏于安全,且较现行规范公式有较大的改进,能直接应用于高层砌体结构设计。
Based on the classic Coluomb friction law, the maximum tensile stress criterion, the maximum compressive stress criterion and the fuzzy theory of fuzzy mathematics, the paper puts forward for the first time that the three kinds of masonry failure models called shear-friction, shear-compression and diagonal compression models under the shear-compression loading, which can be divided into two failure regions, namely the shear-friction and shear-compression failure region as well as the shear-compression and diagonal compression failure region. By adopting the weight function to combine the classic failure theory with the corresponding failure model, the paper presents the formula of the shear strength of masonry and simplifies it. The results of contrast indicate that the calculated curves are in good agreement with experimental results. Meanwhile, in the view point of some questions existing in ‘Code for design of masonry structures’ and ‘Code for seismic design of building structures’, the paper puts forward the design formulae of the static and seismic shear strength of masonry based on failure region theory. The computed results indicate that the formulae are not only simple and safe, but also improve the formulae of current design codes and can be used to design tall masonry structures.
Based on the classic Coluomb friction law, the maximum tensile stress criterion, the maximum compressive stress criterion and the fuzzy theory of fuzzy mathematics, the paper puts forward for the first time that the three kinds of masonry failure models called shear-friction, shear-compression and diagonal compression models under the shear-compression loading, which can be divided into two failure regions, namely the shear-friction and shear-compression failure region as well as the shear-compression and diagonal compression failure region. By adopting the weight function to combine the classic failure theory with the corresponding failure model, the paper presents the formula of the shear strength of masonry and simplifies it. The results of contrast indicate that the calculated curves are in good agreement with experimental results. Meanwhile, in the view point of some questions existing in ‘Code for design of masonry structures’ and ‘Code for seismic design of building structures’, the paper puts forward the design formulae of the static and seismic shear strength of masonry based on failure region theory. The computed results indicate that the formulae are not only simple and safe, but also improve the formulae of current design codes and can be used to design tall masonry structures.
引文
[1]施楚贤.砌体结构理论与设计[M].北京:中国建筑工业出版社,2003.Shi Chuxian.Theory and design of masonry structures[M].Beijing:China Architecture Industry Press,2003.(in Chinese)
[2]Riddington J R,Ghazali M Z.Hypothesis for shear failure in masonry joints[J].Proceeding Institute Civil Engineering,Part2,1990,89(3):89―102.
[3]骆万康,李锡军.砖砌体剪压复合受力动、静力特性与抗剪强度公式[J].重庆建筑大学学报,2000,22(4):13―19.Luo Wankang,Li Xijun.A study on the response of brick masonry structure under dynamic and static shear-compression loading and suggested shearing equation[J].Journal of Chongqing Jianzhu University,2000,22(4):13―19.(in Chinese)
[4]刘桂秋.砌体结构基本力学性能的研究[D].长沙:湖南大学,2005.Liu Guiqiu.The research on the basic behavior of masonry structure[D].Changsha:Hunan University,2005.(in Chinese)
[5]蔡勇,施楚贤,马超林.砌体在剪-压作用下抗剪强度研究[J].建筑结构学报,2004,25(5):118―123.Cai Yong,Shi Chuxian,Ma Chaolin.Study of the masonry shear strength under shear-compression action[J].Journal of Building Structures,2004,25(5):118―123.(in Chinese)
[6]中华人民共和国建设部.GB50003-2001砌体结构设计规范[S].北京:中国建筑工业出版社,2001.People’s Republic of China Construction Department.GB50003-2001Code for design of masonry structures[S].Beijing:China Architecture Industry Press,2001.(in Chinese)
[7]中华人民共和国建设部.GB50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.People’s Republic of China Construction Department.GB50011-2001Code for seismic design of buildings[S].Beijing:China Architecture Industry Press,2001.(in Chinese)
[8]贺仲雄.模糊数学及其应用[M].天津:天津科学技术出版社,1983.He Zhongxiong.Fuzzy mathematics and its application[M].Tianjin:Tianjin Science&Technology Press,1983.(in Chinese)
[9]Andreaus U.Failure criteria for masonry panels under in-plane loading[J].Journal of Structural Engineering,1996,112(1):37―46.
[10]骆万康,朱希诚,廖春盛.砌体抗剪强度研究的回顾与新的计算方法[J].重庆建筑大学学报,1995,17(4):41―49.Luo Wankang,Zhu Xicheng,Liao Chunsheng.A review on the study on shear strength of masonry and a new calculating method[J].Journal of Chongqing Jianzhu University,1995,17(4):41―49.(in Chinese)
[11]骆万康,王勇.砖砌体剪压复合受力的动力特性研究[J].重庆建筑大学学报,1999,21(5):57―63.Luo Wankang.Wang Yong.The study on the response of brick masonry under shear-compression dynamic loading[J].Journal of Chongqing Jianzhu University,1999,21(5):57―63.(in Chinese)
[12]李晓文,王庆霖.无筋墙体抗剪计算[C]//中国工程建设标准化协会砌体结构委员会.现代砌体结构.北京:中国建筑工业出版社,2000:59―65.Li Xiaowen,Wang Qinglin.Shear force resistance for masonry wall[C]//The Masonry Structure Commission of China Engineering Construction Standards Association.Modern Masonry Structures.Beijing:China Building Industry Press,2000:59―65.(in Chinese)
[13]吕伟荣,施楚贤.剪压复合作用下普通砖砌体的ANSYS分析[C]//顾祥林,高连玉.2005年全国砌体结构基本理论与工程应用学术会议论文集.上海:同济大学出版社,2005:126―130.Lu Weirong,Shi Chuxian.Analysis of fired common brick masonry under combined shear and compression using ANSYS program[C]//Gu Xianglin,Gao Lianyu.Proceeding of the Elementary Theory and Engineering Application of Masonry Structures in China.Shanghai:Tongji University Press,2005:126―130.(in Chinese)
[14]Hendry Arnold W.Structural brickwork[M].New York:John Wiley and Sons,1981.
[15]Ayubur Rahman M,Subhash C Anand.Empirical mohr-coulomb failure criterion for concrete block-mortar joints[J].Journal of Structural Engineering,1994,120(8):2408―2422.
[16]骆万康,朱希诚,王勇.砌体规范抗剪与抗震抗剪强度公式的统一模式[C]//中国工程建设标准化协会砌体结构委员会.现代砌体结构].北京:中国建筑工业出版社,2000:31―38.Luo Wankang,Zhu Xicheng,Wang Yong.A unified model for the masonry shear and earthquake resistant strength in codes[C]//The Masonry Structure Commission of China Engineering Construction Standards Association.Modern Masonry Structures.Beijing:China Architecture Industry Press,2000:31―38.(in Chinese)
[17]施楚贤,梁建国.砌体结构学习辅导与习题精解[M].北京:中国建筑工业出版社,2006.Shi Chuxian,Liang Jianguo.Tutor and fine solutions for studying masonry structures[M].Beijing:China Architecture Industry Press,2006.(in Chinese)
[18]朱伯龙.砌体结构设计原理[M].上海:同济大学出版社,1991.Zhu Bolong.Design theory of masonry structures[M].Shanghai:Tongji University Press,1991.(in Chinese)
[19]蓝贵禄.砌体房屋的抗震强度[J].地震工程与工程振动,1994,14(4):72―82.Lan Guilu.The seismic resistance of masonry buildings[J].Earthquake Engineering and Engineering Vibration,1994,14(4):72―82.(in Chinese)
[2]Riddington J R,Ghazali M Z.Hypothesis for shear failure in masonry joints[J].Proceeding Institute Civil Engineering,Part2,1990,89(3):89―102.
[3]骆万康,李锡军.砖砌体剪压复合受力动、静力特性与抗剪强度公式[J].重庆建筑大学学报,2000,22(4):13―19.Luo Wankang,Li Xijun.A study on the response of brick masonry structure under dynamic and static shear-compression loading and suggested shearing equation[J].Journal of Chongqing Jianzhu University,2000,22(4):13―19.(in Chinese)
[4]刘桂秋.砌体结构基本力学性能的研究[D].长沙:湖南大学,2005.Liu Guiqiu.The research on the basic behavior of masonry structure[D].Changsha:Hunan University,2005.(in Chinese)
[5]蔡勇,施楚贤,马超林.砌体在剪-压作用下抗剪强度研究[J].建筑结构学报,2004,25(5):118―123.Cai Yong,Shi Chuxian,Ma Chaolin.Study of the masonry shear strength under shear-compression action[J].Journal of Building Structures,2004,25(5):118―123.(in Chinese)
[6]中华人民共和国建设部.GB50003-2001砌体结构设计规范[S].北京:中国建筑工业出版社,2001.People’s Republic of China Construction Department.GB50003-2001Code for design of masonry structures[S].Beijing:China Architecture Industry Press,2001.(in Chinese)
[7]中华人民共和国建设部.GB50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.People’s Republic of China Construction Department.GB50011-2001Code for seismic design of buildings[S].Beijing:China Architecture Industry Press,2001.(in Chinese)
[8]贺仲雄.模糊数学及其应用[M].天津:天津科学技术出版社,1983.He Zhongxiong.Fuzzy mathematics and its application[M].Tianjin:Tianjin Science&Technology Press,1983.(in Chinese)
[9]Andreaus U.Failure criteria for masonry panels under in-plane loading[J].Journal of Structural Engineering,1996,112(1):37―46.
[10]骆万康,朱希诚,廖春盛.砌体抗剪强度研究的回顾与新的计算方法[J].重庆建筑大学学报,1995,17(4):41―49.Luo Wankang,Zhu Xicheng,Liao Chunsheng.A review on the study on shear strength of masonry and a new calculating method[J].Journal of Chongqing Jianzhu University,1995,17(4):41―49.(in Chinese)
[11]骆万康,王勇.砖砌体剪压复合受力的动力特性研究[J].重庆建筑大学学报,1999,21(5):57―63.Luo Wankang.Wang Yong.The study on the response of brick masonry under shear-compression dynamic loading[J].Journal of Chongqing Jianzhu University,1999,21(5):57―63.(in Chinese)
[12]李晓文,王庆霖.无筋墙体抗剪计算[C]//中国工程建设标准化协会砌体结构委员会.现代砌体结构.北京:中国建筑工业出版社,2000:59―65.Li Xiaowen,Wang Qinglin.Shear force resistance for masonry wall[C]//The Masonry Structure Commission of China Engineering Construction Standards Association.Modern Masonry Structures.Beijing:China Building Industry Press,2000:59―65.(in Chinese)
[13]吕伟荣,施楚贤.剪压复合作用下普通砖砌体的ANSYS分析[C]//顾祥林,高连玉.2005年全国砌体结构基本理论与工程应用学术会议论文集.上海:同济大学出版社,2005:126―130.Lu Weirong,Shi Chuxian.Analysis of fired common brick masonry under combined shear and compression using ANSYS program[C]//Gu Xianglin,Gao Lianyu.Proceeding of the Elementary Theory and Engineering Application of Masonry Structures in China.Shanghai:Tongji University Press,2005:126―130.(in Chinese)
[14]Hendry Arnold W.Structural brickwork[M].New York:John Wiley and Sons,1981.
[15]Ayubur Rahman M,Subhash C Anand.Empirical mohr-coulomb failure criterion for concrete block-mortar joints[J].Journal of Structural Engineering,1994,120(8):2408―2422.
[16]骆万康,朱希诚,王勇.砌体规范抗剪与抗震抗剪强度公式的统一模式[C]//中国工程建设标准化协会砌体结构委员会.现代砌体结构].北京:中国建筑工业出版社,2000:31―38.Luo Wankang,Zhu Xicheng,Wang Yong.A unified model for the masonry shear and earthquake resistant strength in codes[C]//The Masonry Structure Commission of China Engineering Construction Standards Association.Modern Masonry Structures.Beijing:China Architecture Industry Press,2000:31―38.(in Chinese)
[17]施楚贤,梁建国.砌体结构学习辅导与习题精解[M].北京:中国建筑工业出版社,2006.Shi Chuxian,Liang Jianguo.Tutor and fine solutions for studying masonry structures[M].Beijing:China Architecture Industry Press,2006.(in Chinese)
[18]朱伯龙.砌体结构设计原理[M].上海:同济大学出版社,1991.Zhu Bolong.Design theory of masonry structures[M].Shanghai:Tongji University Press,1991.(in Chinese)
[19]蓝贵禄.砌体房屋的抗震强度[J].地震工程与工程振动,1994,14(4):72―82.Lan Guilu.The seismic resistance of masonry buildings[J].Earthquake Engineering and Engineering Vibration,1994,14(4):72―82.(in Chinese)
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