基于最小耗能原理的砌体抗剪强度统一模式
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摘要
对目前我国砌体结构设计规范(GB 50003—2001)和建筑抗震设计规范(GB 50011—2001)在砌体抗剪强度计算方法上存在的问题进行分析,根据最小耗能原理和正交各向异性材料的破坏准则,建立砌体在剪?压复合作用下的相关关系式,该式计算结果与试验结果吻合较好,能完整地表达剪摩、剪压和斜压3种破坏形态。通过对各种工况的砌体材料进行算例计算,建立了砌体静力抗剪强度和抗震抗剪强度计算公式,对2种规范的抗剪强度的取值进行了改进,式中统一采用轴压比作为主要变量来表达。研究结果可使2种规范在确定砌体抗剪强度时采用统一的方法,可供工程设计时参考。
The problems in the shearing strength calculating method about "code for design of masonry structures"(GB 50003—2001)and "code for seismic design of building"(GB 50011—2001) was analysed.With the least energy consumption principle and the failure criteria of orthogonal anisotropic materials,the correlated formula of masonry during combined shear-compression action was established.The correlated formula with experimental results was in good agreement with each other.The three failure models about shear-friction,shear-compression,diagonal compression can completely be expressed with this correlated formula.On the base of calculating bearing capacity with various masonry material calculational examples,matching considerable experimental results,the calculation formula of the static shear strength and the aseismatic strength was established,by which the shear strength value of the two codes was improved.The calculation formula was expressed by axial compression ratio acting as main variable.The calculation method can uniformly be used by the two codes to calculate shear strength.The proposed method can provide an important reference to engineering design.
The problems in the shearing strength calculating method about "code for design of masonry structures"(GB 50003—2001)and "code for seismic design of building"(GB 50011—2001) was analysed.With the least energy consumption principle and the failure criteria of orthogonal anisotropic materials,the correlated formula of masonry during combined shear-compression action was established.The correlated formula with experimental results was in good agreement with each other.The three failure models about shear-friction,shear-compression,diagonal compression can completely be expressed with this correlated formula.On the base of calculating bearing capacity with various masonry material calculational examples,matching considerable experimental results,the calculation formula of the static shear strength and the aseismatic strength was established,by which the shear strength value of the two codes was improved.The calculation formula was expressed by axial compression ratio acting as main variable.The calculation method can uniformly be used by the two codes to calculate shear strength.The proposed method can provide an important reference to engineering design.
引文
[1]施楚贤.砌体结构理论与设计[M].2版.北京:中国建筑工业出版社,2003.SHI Chu-xian.Masonry structure theory and design[M].2nd ed.Beijing:China Architecture&Building Press,2003.
[2]ACI530.1-02/ASCE6-02/TMS602-02.Building code requirements for masonry structures(ACI530-02/ASCE5-02/TMS402-02)and specification for masonry structures[S].
[3]GB 50011—2001,建筑抗震设计规范[S].GB 50011—2001,Code for seismic design of buildings[S].
[4]GB 50003—2001,砌体结构设计规范[S].GB 50003—2001,Code for design of masonry structures[S].
[5]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 Wan-kang,ZHU X i-cheng,LIAO Chun-seng.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.
[6]骆万康,王勇.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 Wan-kang,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.
[7]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]//施楚贤.现代砌体结构.北京:中国建筑工业出版社,2000:31-38.LUO Wan-kang,ZHU X i-cheng,WANG Yong.Uniform model of code for masonry shear strength and aseismic shear strength formula[C]//SHI Chu-xian.Modern Masonry Structures.Beijing:China Architecture&Building Press,2000:31-38.
[8]李晓文,王庆霖,梁兴文.无筋墙体抗剪计算[C]//施楚贤.现代砌体结构.北京:中国建筑工业出版社,2000:59-65.LI Xiao-weng,WANG Qing-lin,LIANG Xing-wen.Shear calculation of plain wall[C]//SHI Chu-xian.Modern Masonry Structures.Beijing:China Architecture&Building Press,2000:59-65.
[9]黄尚安,邹银生,周福霖.底部框剪上部混凝土砌块结构在水平地震作用下的动力响应[J].中南大学学报:自然科学版,2004,35(3):500-505.HUANG S hang-an,ZOU Yin-sheng,ZHOU fu-lin.Dynamic responses of concrete masonry building supported by frame shear wall structure at bottom two stories under horizontal earthquake action[J].Journal of Central South University:Science and Technology,2004,35(3):500-505.
[10]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 Chu-xian,LIAN Jian-guo.Masonry structure study tutorship and exercise solution[M].Beijing:China Architecture&Building Press,2006.
[11]周筑宝.最小耗能原理[M].北京:科学出版社,2001.ZHOU Zhu-bao.Least energy consumption principle[M].Beijing:Science Press,2001.
[12]周筑宝,卢楚芬,郑学军.按能量原理建立强度理论的新探索与展望[J].长沙铁道学院学报,1996,14(4):1-9.ZHOU Zhu-bao,LU Chu-feng,ZHENG Xue-jun.The new exploration and prospects for the strength theory based on energy principle[J].Journal of Changsha Railway University,1996,14(4):1-9.
[13]周筑宝,卢楚芬,郑学军.最小耗能原理及其验证和应用前景展望[J].长沙铁道学院学报,1997,15(4):57-64.ZHOU Zhu-bao,LU Chu-feng,ZHENG Xue-jun.Priciple of least energy consumption and its verification and application propects[J].Journal of Changsha Railway University,1997,15(4):57-64.
[14]周筑宝,卢楚芬.正交各向异性材料的强度理论[J].长沙铁道学院学报,1998,16(3):77-82.ZHOU Zhu-bao,LU Chu-feng.Strength theory for orthogonal anisotropic materials[J].Journal of Changsha Railway University,1998,16(3):77-82.
[15]王庆霖.无筋墙体的抗震剪切强度[C]//钱义良.砌体结构研究论文集.长沙:湖南大学出版社,1989:103-115.WANG Qing-lin.Aseismic shear strength of plain wall[C]//QIAN Yi-liang.Masonry Structure Research Collection of Thesis.Changsha:Hunan University Press,1989:103-115.
[16]骆万康.砌体抗剪强度建议公式与砌体规范和抗震规范的拟合[C]//施楚贤.现代砌体结构.北京:中国建筑工业出版社,2000:52-58.LUO Wan-kang.Masonry shear strength suggested by matching with code for masonry and aseismic design[C]//SHI Chu-xian.Modern Masonry Structures.Beijing:China Architecture&Building Press,2000:52-58.
[2]ACI530.1-02/ASCE6-02/TMS602-02.Building code requirements for masonry structures(ACI530-02/ASCE5-02/TMS402-02)and specification for masonry structures[S].
[3]GB 50011—2001,建筑抗震设计规范[S].GB 50011—2001,Code for seismic design of buildings[S].
[4]GB 50003—2001,砌体结构设计规范[S].GB 50003—2001,Code for design of masonry structures[S].
[5]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 Wan-kang,ZHU X i-cheng,LIAO Chun-seng.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.
[6]骆万康,王勇.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 Wan-kang,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.
[7]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]//施楚贤.现代砌体结构.北京:中国建筑工业出版社,2000:31-38.LUO Wan-kang,ZHU X i-cheng,WANG Yong.Uniform model of code for masonry shear strength and aseismic shear strength formula[C]//SHI Chu-xian.Modern Masonry Structures.Beijing:China Architecture&Building Press,2000:31-38.
[8]李晓文,王庆霖,梁兴文.无筋墙体抗剪计算[C]//施楚贤.现代砌体结构.北京:中国建筑工业出版社,2000:59-65.LI Xiao-weng,WANG Qing-lin,LIANG Xing-wen.Shear calculation of plain wall[C]//SHI Chu-xian.Modern Masonry Structures.Beijing:China Architecture&Building Press,2000:59-65.
[9]黄尚安,邹银生,周福霖.底部框剪上部混凝土砌块结构在水平地震作用下的动力响应[J].中南大学学报:自然科学版,2004,35(3):500-505.HUANG S hang-an,ZOU Yin-sheng,ZHOU fu-lin.Dynamic responses of concrete masonry building supported by frame shear wall structure at bottom two stories under horizontal earthquake action[J].Journal of Central South University:Science and Technology,2004,35(3):500-505.
[10]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 Chu-xian,LIAN Jian-guo.Masonry structure study tutorship and exercise solution[M].Beijing:China Architecture&Building Press,2006.
[11]周筑宝.最小耗能原理[M].北京:科学出版社,2001.ZHOU Zhu-bao.Least energy consumption principle[M].Beijing:Science Press,2001.
[12]周筑宝,卢楚芬,郑学军.按能量原理建立强度理论的新探索与展望[J].长沙铁道学院学报,1996,14(4):1-9.ZHOU Zhu-bao,LU Chu-feng,ZHENG Xue-jun.The new exploration and prospects for the strength theory based on energy principle[J].Journal of Changsha Railway University,1996,14(4):1-9.
[13]周筑宝,卢楚芬,郑学军.最小耗能原理及其验证和应用前景展望[J].长沙铁道学院学报,1997,15(4):57-64.ZHOU Zhu-bao,LU Chu-feng,ZHENG Xue-jun.Priciple of least energy consumption and its verification and application propects[J].Journal of Changsha Railway University,1997,15(4):57-64.
[14]周筑宝,卢楚芬.正交各向异性材料的强度理论[J].长沙铁道学院学报,1998,16(3):77-82.ZHOU Zhu-bao,LU Chu-feng.Strength theory for orthogonal anisotropic materials[J].Journal of Changsha Railway University,1998,16(3):77-82.
[15]王庆霖.无筋墙体的抗震剪切强度[C]//钱义良.砌体结构研究论文集.长沙:湖南大学出版社,1989:103-115.WANG Qing-lin.Aseismic shear strength of plain wall[C]//QIAN Yi-liang.Masonry Structure Research Collection of Thesis.Changsha:Hunan University Press,1989:103-115.
[16]骆万康.砌体抗剪强度建议公式与砌体规范和抗震规范的拟合[C]//施楚贤.现代砌体结构.北京:中国建筑工业出版社,2000:52-58.LUO Wan-kang.Masonry shear strength suggested by matching with code for masonry and aseismic design[C]//SHI Chu-xian.Modern Masonry Structures.Beijing:China Architecture&Building Press,2000:52-58.
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