钢筋混凝土缺角板受弯性能试验研究
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摘要
为了研究混凝土缺角板的受弯性能,设计制作了角部不同开孔大小的7块钢筋混凝土四边简支板,并进行了静力受弯性能试验。结果表明:缺角板跨中区域钢筋先于板四周区域钢筋屈服,随后屈服范围不断扩展并往四角延伸,最终板顶缺角处沿与板边大致成45°方向的混凝土被压碎;开孔系数(板角所开孔洞边长与跨度的比值)为0.05、0.08、0.10、0.12、0.15和0.20的缺角板极限荷载较矩形板的极限荷载分别降低5.98%、10.35%、21.37%、23.63%、38.50%和49.29%,开裂荷载、屈服荷载基本随开孔系数的增大而降低。根据钢筋混凝土板塑性极限分析的塑性铰线法,对6块不同开孔系数混凝土缺角板提出了4种塑性铰线模式,并利用虚功原理建立缺角板极限荷载计算公式,极限荷载计算值与试验值吻合较好,验证了所提出的塑性铰线模式的合理性,及利用虚功原理建立缺角板极限荷载计算公式的可行性。引入一个与开孔系数相关的系数对塑性铰线模式进行简化,简化公式得出的计算值与试验值吻合较好。
In order to study the flexural behavior of reinforced concrete(RC) slab with corner holes,seven RC slabs with different sizes of openings at their corner regions were prepared and tested under static bending load with their four sides being simply supported.The results show that the steel reinforcement at the mid-span yielded first,and then the yielded area propagated towards the corners.At last,the concrete at the top of slab corners crushed along a direction of 45° approximately to the slab sides.Compared with the rectangular slab without holes,the ultimate load of slabs with corner holes decreases;opening coefficients(corresponding to the ratio of length of the corner holes to the span)of 0.05,0.08,0.10,0.12,0.15 and 0.20 lead to the decreases of 5.98%,10.35%,21.37%,23.63%,38.50% and 49.29%,respectively.The cracking load and yield load also decrease correspondingly with the increase of opening coefficients.Based on the plastic hinge line method of plastic limit analysis of RC slabs,four different plastic hinge line patterns were proposed for six different opening sizes of RC slabs with corner holes.The calculation formulas for the bearing capacity of RC slab with corner holes were then established based on the principle of virtual work.The bearing capacity calculated by the proposed calculation formula agrees well with the test value,indicating that the proposed plastic hinge line patterns is reasonable and the adoption of the principle of virtual work is applicable here.The plastic hinge line patterns were simplified by introducing a coefficient which was only related to the opening coefficient.The calculation results of the simplified formula agree well with the test values.
In order to study the flexural behavior of reinforced concrete(RC) slab with corner holes,seven RC slabs with different sizes of openings at their corner regions were prepared and tested under static bending load with their four sides being simply supported.The results show that the steel reinforcement at the mid-span yielded first,and then the yielded area propagated towards the corners.At last,the concrete at the top of slab corners crushed along a direction of 45° approximately to the slab sides.Compared with the rectangular slab without holes,the ultimate load of slabs with corner holes decreases;opening coefficients(corresponding to the ratio of length of the corner holes to the span)of 0.05,0.08,0.10,0.12,0.15 and 0.20 lead to the decreases of 5.98%,10.35%,21.37%,23.63%,38.50% and 49.29%,respectively.The cracking load and yield load also decrease correspondingly with the increase of opening coefficients.Based on the plastic hinge line method of plastic limit analysis of RC slabs,four different plastic hinge line patterns were proposed for six different opening sizes of RC slabs with corner holes.The calculation formulas for the bearing capacity of RC slab with corner holes were then established based on the principle of virtual work.The bearing capacity calculated by the proposed calculation formula agrees well with the test value,indicating that the proposed plastic hinge line patterns is reasonable and the adoption of the principle of virtual work is applicable here.The plastic hinge line patterns were simplified by introducing a coefficient which was only related to the opening coefficient.The calculation results of the simplified formula agree well with the test values.
引文
[1]曹大富,谭启洲,葛文杰,王必元.混凝土-砌体组合托换梁受弯性能试验研究[J].建筑结构学报,2014,35(7):145-152.(CAO Dafu,TAN Qizhou,GEWenjie,WANG Biyuang.Experimental study on flexural behaviors of composite component of concretemasonry underpinning beams[J].Journal of Building Structures,2014,35(7):145-152.(in Chinese))
[2]焦建华,曹大富,秦晓川,葛文杰.利用宽柱双梁框架结构改造加固砌体结构[J].排灌机械工程学报,2015,33(1):43-48.(JIAO Jianhua,CAO Dafu,QINXiaochuan,GE Wenjie.Masonry structure reforming and strengthening by means of frame structure with double-beam wide column[J].Journal of Drainage and Irrigation Machinery Engineering,2015,33(1):43-48.(in Chinese))
[3]徐秉业,刘信声.结构塑性极限分析[M].北京:中国建筑工业出版社,1985:209-253.
[4]PARK Robert,GAMBLE William L.Reinforced concrete slabs[M].New York:John Wiley and Sons,1980:174-180.
[5]陈瑞麟.异形板塑性计算的研究[J].华侨大学学报(自然科学版),1988,9(2):189-202.(CHENRuilin.Study on the plastic calculation of abnormal slab[J].Journal of Huaqiao University(Natural Science Edition),1988,9(2):189-202.(in Chinese))
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[7]童岳生,钱国芳,杨智.钢筋混凝土不规则板的试验研究与极限分析[J].建筑结构,1996,26(2):32-36.(TONG Yuesheng,QIAN Guofang,YANG Zhi.Experimental research and limit analysis of irregular reinforced concrete slabs[J].Building Structure,1996,26(2):32-36.(in Chinese))
[8]范进,冯庆兴.开洞对板的内力及变形的影响[J].工业建筑,1999,29(5):32-37.(FAN Jin,FENGQingxing.Effects of holes on the internal force and deflection of plates[J].Industrial Construction,1999,29(5):32-37.(in Chinese))
[9]张裕媛.带凹角钢筋混凝土板的设计与研究[D].天津:天津大学,2005:45-52.(ZHANG Yuyuan.Design and research on reinforced concrete slab with concave corner[D].Tianjin:Tianjin University,2005:45-52.(in Chinese))
[10]万墨林.既有楼板开洞研究[J].建筑结构,2007,37(增刊1):21-22.(WAN Molin.Research on existing floor slabs with holes[J].Building Structure,2007,37(Suppl.1):21-22.(in Chinese))
[11]金属材料拉伸试验:第1部分:室温试验方法:GB/T228.1-2010[S].北京:中国标准出版社,2010.(Metallic materials:tensile testing:part 1:method of testing at room temperature:GB/T 228.1-2010[S].Beijing:Standards Press of China,2010.(in Chinese))
[12]普通混凝土力学性能试验方法标准:GB/T 50081-2002[S].北京:中国建筑工业出版社,2003.(Standard for test method of mechanical properties on ordinary concrete:GB/T 50081-2002[S].Beijing:China Architecture&Building Press,2003.(in Chinese))
[13]混凝土结构试验方法标准:GB/T 50152-2012[S].北京:中国建筑工业出版社,2012.(Standard for test method of concrete structures:GB/T 50152-2012[S].Beijing:China Architecture&Building Press,2012.(in Chinese))
[14]INGERSLEV Anne Krog.The strength of rectangular slabs[J].Journal of Structural Engineering,1923,1(1):3-14.
[15]JOHANSENK W.Brudlinieteorier[M].Copenhagen:Gjellerups Forlag,1943:191.
[16]邵永健.钢筋混凝土异形板的极限分析[J].苏州城建环保学院学报,1999,12(1):44-48.(SHAOYongjian.Limit analysis of reinforced concrete slabs of irregular plane forms[J].Journal of Suzhou Institute of Urban Construction and Environmental Protection,1999,12(1):44-48.(in Chinese))
[17]陈家瑾,范存新,谢小明.钢筋砼板极限分析的塑性铰线理论的改进[J].苏州城建环保学院学报,2001,14(3):29-35.(CHEN Jiajin,FAN Cunxin,XIE Xiaoming.An amendment to the theory of the plastic hinged lines for the limit analysis of reinforced concrete plates[J].Journal of Suzhou Institute of Urban Construction and Environmental Protection,2001,14(3):29-35.(in Chinese))
[18]范存新,陈家瑾,谢小明,薛松涛.用双剪屈服准则对钢筋混凝土板进行塑性铰线的极限分析[J].固体力学学报,2002,23(3):340-346.(FAN Cunxin,CHEN Jiajin,XIE Xiaoming,XUE Songtao.Limit analysis of the plastic hinged lines for the reinforced concrete plates using the twin shear stress yield criterion[J].Acta Mechanica Solida Sinica,2002,23(3):340-346.(in Chinese))
[19]鄢玉英,刘贤明.按塑性理论设计四边支承的双向板[J].华东交通大学学报,2005,22(5):62-66.(YAN Yuying,LIU Xianming.The designing of two direction slab supported along four side according to plastic principle[J].Journal of East China Jiaotong University,2005,22(5):62-66.(in Chinese))
[20]王元清,武延民,石永久,江见鲸.含缺口受拉平板塑性应力场的有限元分析[J].工程力学,2007,24(4):7-12.(WANG Yanqing,WU Yanmin,SHIYongjiu,JIANG Jianjing.FEM analysis for plastic stress field of tensile flat slab with crackles[J].Engineering Mechanics,2007,24(4):7-12.(in Chinese))
[21]蒋秀根,剧锦三,庄金钊.矩形钢筋混凝土双向板板底塑性弯矩比设计取值研究[J].工程力学,2007,24(8):77-80.(JIANG Xiugen,JU Jinsan,ZHUANGJinzhao.Study on design value of plastic bending moment ratio at the bottom of rectangular reinforced concrete slabs[J].Engineering Mechanics,2007,24(8):77-80.(in Chinese))
[22]韩明爽,杨成永,陆景慧,杨菁轩.钢筋混凝土开孔板受力分析[J].工业建筑,2005,35(增刊1):120-123.(HAN Mingshuan,YANG Chengyong,LU Jinghui,YANG Jingxuan.Mechanical analysis of concrete slab with rectangle opening[J].Industrial Construction,2005,35(Suppl.1):120-123.(in Chinese))
[23]COPER J,CLARKL A.Concrete slabs analysis and design[M].London:Elsevier Applied Science Publishers,1984:391.
[2]焦建华,曹大富,秦晓川,葛文杰.利用宽柱双梁框架结构改造加固砌体结构[J].排灌机械工程学报,2015,33(1):43-48.(JIAO Jianhua,CAO Dafu,QINXiaochuan,GE Wenjie.Masonry structure reforming and strengthening by means of frame structure with double-beam wide column[J].Journal of Drainage and Irrigation Machinery Engineering,2015,33(1):43-48.(in Chinese))
[3]徐秉业,刘信声.结构塑性极限分析[M].北京:中国建筑工业出版社,1985:209-253.
[4]PARK Robert,GAMBLE William L.Reinforced concrete slabs[M].New York:John Wiley and Sons,1980:174-180.
[5]陈瑞麟.异形板塑性计算的研究[J].华侨大学学报(自然科学版),1988,9(2):189-202.(CHENRuilin.Study on the plastic calculation of abnormal slab[J].Journal of Huaqiao University(Natural Science Edition),1988,9(2):189-202.(in Chinese))
[6]童岳生,钱国芳,吴豹.钢筋混凝土异形板的试验研究[J].土木工程学报,1993,26(4):61-68.(TONG Yuesheng,QIAN Guofang,WU Bao.Experimental research on irregular reinforced concrete slabs[J].China Civil Engineering Journal,1993,26(4):61-68.(in Chinese))
[7]童岳生,钱国芳,杨智.钢筋混凝土不规则板的试验研究与极限分析[J].建筑结构,1996,26(2):32-36.(TONG Yuesheng,QIAN Guofang,YANG Zhi.Experimental research and limit analysis of irregular reinforced concrete slabs[J].Building Structure,1996,26(2):32-36.(in Chinese))
[8]范进,冯庆兴.开洞对板的内力及变形的影响[J].工业建筑,1999,29(5):32-37.(FAN Jin,FENGQingxing.Effects of holes on the internal force and deflection of plates[J].Industrial Construction,1999,29(5):32-37.(in Chinese))
[9]张裕媛.带凹角钢筋混凝土板的设计与研究[D].天津:天津大学,2005:45-52.(ZHANG Yuyuan.Design and research on reinforced concrete slab with concave corner[D].Tianjin:Tianjin University,2005:45-52.(in Chinese))
[10]万墨林.既有楼板开洞研究[J].建筑结构,2007,37(增刊1):21-22.(WAN Molin.Research on existing floor slabs with holes[J].Building Structure,2007,37(Suppl.1):21-22.(in Chinese))
[11]金属材料拉伸试验:第1部分:室温试验方法:GB/T228.1-2010[S].北京:中国标准出版社,2010.(Metallic materials:tensile testing:part 1:method of testing at room temperature:GB/T 228.1-2010[S].Beijing:Standards Press of China,2010.(in Chinese))
[12]普通混凝土力学性能试验方法标准:GB/T 50081-2002[S].北京:中国建筑工业出版社,2003.(Standard for test method of mechanical properties on ordinary concrete:GB/T 50081-2002[S].Beijing:China Architecture&Building Press,2003.(in Chinese))
[13]混凝土结构试验方法标准:GB/T 50152-2012[S].北京:中国建筑工业出版社,2012.(Standard for test method of concrete structures:GB/T 50152-2012[S].Beijing:China Architecture&Building Press,2012.(in Chinese))
[14]INGERSLEV Anne Krog.The strength of rectangular slabs[J].Journal of Structural Engineering,1923,1(1):3-14.
[15]JOHANSENK W.Brudlinieteorier[M].Copenhagen:Gjellerups Forlag,1943:191.
[16]邵永健.钢筋混凝土异形板的极限分析[J].苏州城建环保学院学报,1999,12(1):44-48.(SHAOYongjian.Limit analysis of reinforced concrete slabs of irregular plane forms[J].Journal of Suzhou Institute of Urban Construction and Environmental Protection,1999,12(1):44-48.(in Chinese))
[17]陈家瑾,范存新,谢小明.钢筋砼板极限分析的塑性铰线理论的改进[J].苏州城建环保学院学报,2001,14(3):29-35.(CHEN Jiajin,FAN Cunxin,XIE Xiaoming.An amendment to the theory of the plastic hinged lines for the limit analysis of reinforced concrete plates[J].Journal of Suzhou Institute of Urban Construction and Environmental Protection,2001,14(3):29-35.(in Chinese))
[18]范存新,陈家瑾,谢小明,薛松涛.用双剪屈服准则对钢筋混凝土板进行塑性铰线的极限分析[J].固体力学学报,2002,23(3):340-346.(FAN Cunxin,CHEN Jiajin,XIE Xiaoming,XUE Songtao.Limit analysis of the plastic hinged lines for the reinforced concrete plates using the twin shear stress yield criterion[J].Acta Mechanica Solida Sinica,2002,23(3):340-346.(in Chinese))
[19]鄢玉英,刘贤明.按塑性理论设计四边支承的双向板[J].华东交通大学学报,2005,22(5):62-66.(YAN Yuying,LIU Xianming.The designing of two direction slab supported along four side according to plastic principle[J].Journal of East China Jiaotong University,2005,22(5):62-66.(in Chinese))
[20]王元清,武延民,石永久,江见鲸.含缺口受拉平板塑性应力场的有限元分析[J].工程力学,2007,24(4):7-12.(WANG Yanqing,WU Yanmin,SHIYongjiu,JIANG Jianjing.FEM analysis for plastic stress field of tensile flat slab with crackles[J].Engineering Mechanics,2007,24(4):7-12.(in Chinese))
[21]蒋秀根,剧锦三,庄金钊.矩形钢筋混凝土双向板板底塑性弯矩比设计取值研究[J].工程力学,2007,24(8):77-80.(JIANG Xiugen,JU Jinsan,ZHUANGJinzhao.Study on design value of plastic bending moment ratio at the bottom of rectangular reinforced concrete slabs[J].Engineering Mechanics,2007,24(8):77-80.(in Chinese))
[22]韩明爽,杨成永,陆景慧,杨菁轩.钢筋混凝土开孔板受力分析[J].工业建筑,2005,35(增刊1):120-123.(HAN Mingshuan,YANG Chengyong,LU Jinghui,YANG Jingxuan.Mechanical analysis of concrete slab with rectangle opening[J].Industrial Construction,2005,35(Suppl.1):120-123.(in Chinese))
[23]COPER J,CLARKL A.Concrete slabs analysis and design[M].London:Elsevier Applied Science Publishers,1984:391.