分布式连接全装配RC楼盖竖向承载力与变形分析
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摘要
在分布式连接新型全装配RC楼盖中,板与板之间通过连接件连接实现横板向传力。为研究新型楼盖竖向承载力计算方法,进行了新型楼盖在竖向荷载作用下的内力与变形分析。结果表明:基于正交各向异性弹性薄板小挠度理论和单三角级数法得到四边简支新型楼盖在竖向均布荷载作用下的弯矩与挠度表达式,提出了新型楼盖横板向刚度计算方法,并通过与试验和有限元结果对比,验证了所提方法的准确性;新型楼盖的挠度在两个方向呈空间抛物面分布,表明新型楼盖具有良好横板向传力性能;板缝连接可有效传递板内弯矩,但正交的两个方向弯矩传递效果存在差异,表现为顺板向弯矩的传递效果优于横板向。研究成果可为分布式连接全装配RC楼盖的研究和应用提供参考。
In discretely connected precast RC floor/diaphragms(DCNPD), slab joints are connected by connectors to transfer internal force. An analysis program of internal force and deflection under vertical load was conducted to accureately determine the vertical strength of DCNPDs. The moment and deflection eqations of a DCNPD simply supported on four sides under uniformly distributed load are derived according to the small deflection theory of elastic thin perpendicular heterogeneous plates and are solved with trigonometric series. A model for estimating the bending stiffness of a DCNPD in the transverse direction is proposed and validated by comparing with finite element solutions and experimental results. The moment and deflection distributions of a DCNPD are ideally spatial parabolical, indicating that the DCNPD has excellent bidirectional mechanical behavior. The moment can be effectively transferred by the slab joints, especially in the slab laying direction rather than the orthogonal direction.
In discretely connected precast RC floor/diaphragms(DCNPD), slab joints are connected by connectors to transfer internal force. An analysis program of internal force and deflection under vertical load was conducted to accureately determine the vertical strength of DCNPDs. The moment and deflection eqations of a DCNPD simply supported on four sides under uniformly distributed load are derived according to the small deflection theory of elastic thin perpendicular heterogeneous plates and are solved with trigonometric series. A model for estimating the bending stiffness of a DCNPD in the transverse direction is proposed and validated by comparing with finite element solutions and experimental results. The moment and deflection distributions of a DCNPD are ideally spatial parabolical, indicating that the DCNPD has excellent bidirectional mechanical behavior. The moment can be effectively transferred by the slab joints, especially in the slab laying direction rather than the orthogonal direction.
引文
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[3]Baran E.Effects of cast-in-place concrete topping on flexural response of precast concrete hollow-core slabs[J].Engineering Structures,2015,98(9):109―117.
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[15]吴方伯,刘彪,罗继丰.预应力混凝土叠合空心楼板的受剪性能试验研究[J].工程力学,2016,33(3):196―203.Wu Fangbo,Liu Biao,Luo Jifeng.Experimental study on shear resisting properties prestressed concrete composite hollow core slabs[J].Engineering Mechanics,2016,33(3):196―203.(in Chinese)
[16]GB 50010-2010,混凝土结构设计规范(2015version)[S].北京:中国建筑工业出版社,2016.GB 50010-2010,Code for design of concrete structures(2015version)[S].Beijing:China Architecture&Building Press,2010.(in Chinese)
[17]ACI 318-14,Building code requirements for structural concrete[J].Farmington Hills,MI:American Concrete Institute,2014.
[18]田春雨,聂建国.组合楼盖竖向承重体系中楼板变形及内力分析[J].工程力学,2006,23(5):62―66Tian Chunyu,Nie Jianguo.Analysis of deflection and internal force in composite slab-on-girder floor system[J].Engineering Mechanics,2006,23(5):62―66.(in Chinese)
[19]建筑结构静力计算手册[M].北京:中国建筑工业出版社,2001:194―239.Static calculation mual of building structures[M].Beijing:China Architectural&Building Press,2001:194―239.(in Chinese)
[20]Timoshenko S,Woinowsky-Krieger S.Theory of plates and shells[M].2nd ed.New York:Mc Graw-Hill,1959:105―225.
[21]张大山,董毓利,房圆圆.考虑受拉薄膜效应的板块平衡法修正及在混凝土双向板中的应用[J].工程力学,2017,34(3):204―210,240.Zhang Dashan,Dong Yuli,Fang Yuanyuan.Modification of Segment of equilibrium method through considering tensile member an effects and its application in two-way concrete slabs[J].Engineering Mechanics,2017,34(3):204―210,240.(in Chinese)
[22]肖闪闪,陈普会.集中载荷下四边固支正交各向异性矩形板的线性弯曲问题[J].工程力学,2015,32(6):26―32.Xiao Shanshan,Chen Puhui.Analytical solutions for bending of clamped orthotropic rectangular plates under a concentrated force[J].Engineering Mechanics,2006,32(6):26―32.(in Chinese)
[23]Reddy J N.Theory and analysis of elastic plates and shells 2nd ed[M].Boca Raton:CRC Press,2007:215―259.
[24]程远兵,程文瀼,党纪.均布荷载下简支蜂窝式空心板的解析解[J].工程力学,2009,26(8):34―39.Cheng Yuanbing,Cheng Wenrang,Dang Ji.Analytical solution of cellular hollow plates simply supported subjected to uniformly distributed loads[J].Engineering Mechanics,2009,26(8):34―39.(in Chinese)
[25]吴见丰.新型全预制装配式楼盖的竖向受力性能研究[D].南京:东南大学,2011Wu Jianfeng.Experimental research and theoretical analysis on the vertical mechanical behavior of a new all prefabricated floor[D].Nanjing:Southeast University,2011.(in Chinese)
[2]Davies G,Elliott K S,Omar W.Horizontal diaphragm action in precast concrete floors[J].The Structural Engineer,1990,68(2):25―32.
[3]Baran E.Effects of cast-in-place concrete topping on flexural response of precast concrete hollow-core slabs[J].Engineering Structures,2015,98(9):109―117.
[4]Hawkins N M,Ghosh S K.Proposed revisions to 1997NEHRP recommended provisions for seismic regulations for precast concrete structures:part 3-diaphragms[J].PCI Journal,2000,45(6):49―58.
[5]PCI design handbook:Precast and prestressed concrete(8th edition)[S].Chicago,PCI:PCI Industry Handbook Committee,2017.
[6]祁成财,蒋勤俭.一汽停车楼装配式结构深化设计关键技术研究[R].第五届中国(国际)预制混凝土技术论坛,厦门,2015:1―26.Qi Chengcai,Jiang Qinjian.Key techniques on the YIQIparking building detailed design[R].The Fifth China(International)Forum on Precast Concrete Technique,Xiamen,2015:1―26.(in Chinese)
[7]JGJ1―2014,装配式混凝土结构技术标准[S].北京:中国建筑工业出版社,2014.JGJ1―2014,Technical code for precast concrete building[S].Beijing:China Building Industry Press,2014.(in Chinese)
[8]庞瑞,陈桂香,倪红梅,等.全干式连接预制混凝土板?楼盖及其抗震性能提升方法[P].中国ZL 20151 0247926.5[P].2017.07.14.Pang Rui,Chen Guixiang,Ni Hongmei,et al.Untopped precast slab and floor diaphragm[P].China Patent:ZL2015 1 0247926.5,2017.07.14.(in Chinese)
[9]庞瑞,许清风,梁书亭,等.全装配RC楼盖平面内受力性能试验研究[J].建筑结构学报,2012,33(10):67―74.Pang Rui,Xu Qingfeng,Liang Shuting,et al.In-plane mechanism of untopped precast RC floor diaphramgs[J].Building Structures,2012,33(10):67―74.(in Chinese)
[10]朱筱俊,庞瑞,梁书亭.全装配式钢筋混凝土楼盖竖向受力性能试验研究[J].建筑结构学报,2013,34(1):123―130.Zhu Xiaojun,Pang Rui,Liang Shuting,et al.Vertical bearing capacity of untopped precast RC floor diaphramgs[J].Building Structures,2013,34(1):123―130.(in Chinese)
[11]王晓锋.单向预应力双向叠合板楼盖试验研究[D].北京:中国建筑科学研究院,2003:3.Wang Xiaofeng.Experimental study of a prestressed two-way composite slab floor[D].Beijing:China Academy of Building Research,2003:3.(in Chinese)
[12]周绪红,张微伟,吴方伯,等.预应力混凝土四边简支双向叠合板的设计方法[J].建筑科学与工程学报,2006,23(4):54―57.Zhou Xuhong,Zhang Weiwei,Wu Fangbo,et al.Design method of prestressed concrete simply supported on four sides of two-way composite slab[J].Journal of Architecture and Civil Engineering,2006,23(4):54―57.(in Chinese)
[13]吴方伯,黄海林,陈伟,等.肋上开孔对预制预应力混凝土带肋薄板施工阶段挠度计算方法的影响研究[J].工程力学,2011,18(11):64―71.Wu Fangbo,Huang Hailin,Chen Wei,et al.Influence of preformed holes on flexural deflection calculation methods of precast prestressed concrete ribbed panels for composite slabs[J].Engineering Mechanics,2011,28(11):64―71.(in Chinese).
[14]周旺华.现代混凝土叠合结构[M].北京:中国建筑工业出版社,1998:154―196Zhou Wanghua.Modern concret e composite structures[M].Beijing:China Architecture&Building Press,1998:154―196.(In Chinese)
[15]吴方伯,刘彪,罗继丰.预应力混凝土叠合空心楼板的受剪性能试验研究[J].工程力学,2016,33(3):196―203.Wu Fangbo,Liu Biao,Luo Jifeng.Experimental study on shear resisting properties prestressed concrete composite hollow core slabs[J].Engineering Mechanics,2016,33(3):196―203.(in Chinese)
[16]GB 50010-2010,混凝土结构设计规范(2015version)[S].北京:中国建筑工业出版社,2016.GB 50010-2010,Code for design of concrete structures(2015version)[S].Beijing:China Architecture&Building Press,2010.(in Chinese)
[17]ACI 318-14,Building code requirements for structural concrete[J].Farmington Hills,MI:American Concrete Institute,2014.
[18]田春雨,聂建国.组合楼盖竖向承重体系中楼板变形及内力分析[J].工程力学,2006,23(5):62―66Tian Chunyu,Nie Jianguo.Analysis of deflection and internal force in composite slab-on-girder floor system[J].Engineering Mechanics,2006,23(5):62―66.(in Chinese)
[19]建筑结构静力计算手册[M].北京:中国建筑工业出版社,2001:194―239.Static calculation mual of building structures[M].Beijing:China Architectural&Building Press,2001:194―239.(in Chinese)
[20]Timoshenko S,Woinowsky-Krieger S.Theory of plates and shells[M].2nd ed.New York:Mc Graw-Hill,1959:105―225.
[21]张大山,董毓利,房圆圆.考虑受拉薄膜效应的板块平衡法修正及在混凝土双向板中的应用[J].工程力学,2017,34(3):204―210,240.Zhang Dashan,Dong Yuli,Fang Yuanyuan.Modification of Segment of equilibrium method through considering tensile member an effects and its application in two-way concrete slabs[J].Engineering Mechanics,2017,34(3):204―210,240.(in Chinese)
[22]肖闪闪,陈普会.集中载荷下四边固支正交各向异性矩形板的线性弯曲问题[J].工程力学,2015,32(6):26―32.Xiao Shanshan,Chen Puhui.Analytical solutions for bending of clamped orthotropic rectangular plates under a concentrated force[J].Engineering Mechanics,2006,32(6):26―32.(in Chinese)
[23]Reddy J N.Theory and analysis of elastic plates and shells 2nd ed[M].Boca Raton:CRC Press,2007:215―259.
[24]程远兵,程文瀼,党纪.均布荷载下简支蜂窝式空心板的解析解[J].工程力学,2009,26(8):34―39.Cheng Yuanbing,Cheng Wenrang,Dang Ji.Analytical solution of cellular hollow plates simply supported subjected to uniformly distributed loads[J].Engineering Mechanics,2009,26(8):34―39.(in Chinese)
[25]吴见丰.新型全预制装配式楼盖的竖向受力性能研究[D].南京:东南大学,2011Wu Jianfeng.Experimental research and theoretical analysis on the vertical mechanical behavior of a new all prefabricated floor[D].Nanjing:Southeast University,2011.(in Chinese)