框架结构中越层柱考虑二阶效应的设计方法研究
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摘要
针对目前工程中存在的框架结构越层柱如何考虑其二阶效应的设计方法问题,以GB 50010—2002《混凝土结构设计规范》提供的基于经典结构稳定理论的二阶效应计算方法(η-l_0法)为依据,提出计算越层柱等效长度系数μ的简化计算方法——基于构件实际约束状态下的分离杆件法。经大量基于实际工程经验算例的对比与分析,总结出适用于框架结构首层越层柱取1.05,中间层越层柱取1.15,顶层越层柱取1.8的等效长度系数μ的取值建议,将μ值代入传统η-l_0法中即可方便准确地计算越层柱考虑二阶效应的内力值。经算例验证表明,文中提供的越层柱考虑二阶效应的设计方法较好地反映了框架结构中越层柱在考虑二阶效应影响下的受力规律与变形特征,可用于工程设计并为规范相关条文修订以及后续研究提供参考。
Aiming at the design problem of multiple-story columns considering the second-order effect in frame structure, based on the η-l_0 method in the classical structure stability theory provided by GB 50010-2002 ‘Code for design of concrete structures', the member isolation method under the actual constraint state for the calculation of the equivalent calculation length coefficient μ of multiple-story column has been proposed. It is concluded that the equivalent length coefficients μ are 1.05, 1.15 and 1.8 for the multiple-story columns in first story, middle story and top story of frame structures,respectively. By taking μ into the traditional η-l_0 method, it is convenient and accurate to calculate the internal force value of the multiple-story column considering the second-order effect after comparison and analysis of a large number of examples based on actual engineering experience. Finally, the example calculation shows that the design method considering the second-order effect of multiple-story column can better reflects the stress law and deformation characteristics of the multiple-story column in frame structure under the influence of the second-order effect, which can be used in engineering design and provide reference for revision of the relevant provisions and the follow-up research.
Aiming at the design problem of multiple-story columns considering the second-order effect in frame structure, based on the η-l_0 method in the classical structure stability theory provided by GB 50010-2002 ‘Code for design of concrete structures', the member isolation method under the actual constraint state for the calculation of the equivalent calculation length coefficient μ of multiple-story column has been proposed. It is concluded that the equivalent length coefficients μ are 1.05, 1.15 and 1.8 for the multiple-story columns in first story, middle story and top story of frame structures,respectively. By taking μ into the traditional η-l_0 method, it is convenient and accurate to calculate the internal force value of the multiple-story column considering the second-order effect after comparison and analysis of a large number of examples based on actual engineering experience. Finally, the example calculation shows that the design method considering the second-order effect of multiple-story column can better reflects the stress law and deformation characteristics of the multiple-story column in frame structure under the influence of the second-order effect, which can be used in engineering design and provide reference for revision of the relevant provisions and the follow-up research.
引文
[1] 魏巍. 考虑非弹性及二阶效应特征的钢筋混凝土框架柱的强度问题与稳定问题[D]. 重庆:重庆大学, 2004:80-85.(WEI Wei. Strength and stability of reinforced concrete frame column considering characters of nonlinear and second-order effect[D]. Chongqing: Chongqing University, 2004.:80-85.(in Chinese))
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[3] 杨光磊. 对钢筋混凝土结构中考虑二阶效应的强度及稳定问题的讨论[D]. 重庆:重庆大学, 2015:63-75.(YANG Guanglei. Discussion of strength and stability problems considering the second-order effect in reinforced concrete building structure[D].Chongqing: Chongqing University, 2015:63-75. (in Chinese))
[4] 喻德建. 对混凝土规范p-δ效应设计方法及复杂框架结构二阶效应设计方法的研究[D]. 重庆:重庆大学, 2016:49-61.(YU Dejian. Research on the design method of p-δ effect in code for design of concrete structures and second-order effect in complex frame structure[D].Chongqing: Chongqing University,2016:49-61.(in Chinese))
[5] 刘毅. 钢筋混凝土结构二阶效应及设计方法的研究[D]. 重庆:重庆大学, 2007:6-8.(LIU Yi. The research of second-order effect and design method of reinforced concrete structure[D].Chongqing: Chongqing University,2007:6-8.(in Chinese))
[6] JULIAN O G,LAWRENCE L S. Notes on J and L nomographs for determination of effective lenghths[R]. [S.l.]:[s.n.], 1959.
[7] ACI. Building code requirements for structural concrete(ACI 318-14) and commentary[S].Detroit,MI:American Concrete Institute,2014.
[8] 魏巍,朱爱萍,刘毅,白绍良. 考虑P-δ效应的钢筋混凝土框架柱设计方法[J]. 建筑结构学报, 2006, 27(5): 64-71.(WEI Wei,ZHU Aiping,LIU Yi,BAI Shaoliang. Design methods of reinforced concrete frame column considering P-δ effect[J].Journal of Building Structures, 2006, 27(5): 64-71.
[9] EULER Leonhard. Sur la force des colonnes[J]. Memoires de L’Academie des Sciences et Belles-Lettres, 1759, 13: 252-282.
[10] 混凝土结构设计规范:GB 50010—2002[S]. 北京:中国建筑工业出版社, 2002.(Code for design of concrete structures: GB 50010—2002[S]. Beijing: China Architecture & Building Press, 2002. (in Chinese))
[11] 高层建筑混凝土结构设计规程:JGJ 3—2010)[S]. 北京:中国建筑工业出版社, 2010.(Technical specification for concrete structure of tall building: JGJ 3—2010 [S]. Beijing: China Architecture & Building Press, 2010. (in Chinese))
[12] 混凝土结构设计规范:GBJ 10—1989[S]. 北京:中国建筑工业出版社, 1993.(Code for design of concrete structures: GBJ 10—1989[S]. Beijing: China Architecture & Building Press, 1993. (in Chinese))
[13] 白绍良,魏巍,刘毅,高晓莉. 考虑钢筋混凝土整体二阶效应规律的改进η-l0法[J].重庆建筑大学学报, 2000, 22(增刊1): 1-8.(BAI Shaoliang, WEI Wei, LIU Yi, GAO Xiaoli.The improved η-l0 method considering the whole second effect laws of RC frame[J]. Journal of Chongqing Jianzhou University, 2000,22 (Suppl.1):1-8. (in Chinese))
[14] AISC. Load and resistance factor design specification for structural steel building[S]. Chicago: American Institute of Steel Construction Inc, 2005.
[2] 混凝土结构设计规范:GB 50010—2010[S]. 北京:中国建筑工业出版社, 2010.(Code for design of concrete structures: GB 50010—2010[S]. Beijing: China Architecture & Building Press, 2010. (in Chinese))
[3] 杨光磊. 对钢筋混凝土结构中考虑二阶效应的强度及稳定问题的讨论[D]. 重庆:重庆大学, 2015:63-75.(YANG Guanglei. Discussion of strength and stability problems considering the second-order effect in reinforced concrete building structure[D].Chongqing: Chongqing University, 2015:63-75. (in Chinese))
[4] 喻德建. 对混凝土规范p-δ效应设计方法及复杂框架结构二阶效应设计方法的研究[D]. 重庆:重庆大学, 2016:49-61.(YU Dejian. Research on the design method of p-δ effect in code for design of concrete structures and second-order effect in complex frame structure[D].Chongqing: Chongqing University,2016:49-61.(in Chinese))
[5] 刘毅. 钢筋混凝土结构二阶效应及设计方法的研究[D]. 重庆:重庆大学, 2007:6-8.(LIU Yi. The research of second-order effect and design method of reinforced concrete structure[D].Chongqing: Chongqing University,2007:6-8.(in Chinese))
[6] JULIAN O G,LAWRENCE L S. Notes on J and L nomographs for determination of effective lenghths[R]. [S.l.]:[s.n.], 1959.
[7] ACI. Building code requirements for structural concrete(ACI 318-14) and commentary[S].Detroit,MI:American Concrete Institute,2014.
[8] 魏巍,朱爱萍,刘毅,白绍良. 考虑P-δ效应的钢筋混凝土框架柱设计方法[J]. 建筑结构学报, 2006, 27(5): 64-71.(WEI Wei,ZHU Aiping,LIU Yi,BAI Shaoliang. Design methods of reinforced concrete frame column considering P-δ effect[J].Journal of Building Structures, 2006, 27(5): 64-71.
[9] EULER Leonhard. Sur la force des colonnes[J]. Memoires de L’Academie des Sciences et Belles-Lettres, 1759, 13: 252-282.
[10] 混凝土结构设计规范:GB 50010—2002[S]. 北京:中国建筑工业出版社, 2002.(Code for design of concrete structures: GB 50010—2002[S]. Beijing: China Architecture & Building Press, 2002. (in Chinese))
[11] 高层建筑混凝土结构设计规程:JGJ 3—2010)[S]. 北京:中国建筑工业出版社, 2010.(Technical specification for concrete structure of tall building: JGJ 3—2010 [S]. Beijing: China Architecture & Building Press, 2010. (in Chinese))
[12] 混凝土结构设计规范:GBJ 10—1989[S]. 北京:中国建筑工业出版社, 1993.(Code for design of concrete structures: GBJ 10—1989[S]. Beijing: China Architecture & Building Press, 1993. (in Chinese))
[13] 白绍良,魏巍,刘毅,高晓莉. 考虑钢筋混凝土整体二阶效应规律的改进η-l0法[J].重庆建筑大学学报, 2000, 22(增刊1): 1-8.(BAI Shaoliang, WEI Wei, LIU Yi, GAO Xiaoli.The improved η-l0 method considering the whole second effect laws of RC frame[J]. Journal of Chongqing Jianzhou University, 2000,22 (Suppl.1):1-8. (in Chinese))
[14] AISC. Load and resistance factor design specification for structural steel building[S]. Chicago: American Institute of Steel Construction Inc, 2005.