考虑板筋参与作用的RC框架有效翼缘宽度简化公式
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摘要
针对现有考虑板筋参与作用的钢筋混凝土框架有效翼缘宽度理论计算公式较复杂、不利于实际应用的问题,文中结合有效翼缘宽度的两个重要影响因素:轴压比和节点类型,设计了不同轴压比的钢筋混凝土空间框架,对各节点类型处的有效翼缘宽度分布规律进行数值回归,得到方便应用于实际设计的有效翼缘宽度简化公式,并提出能更好地实现"大震不倒"设防目标的改进设计建议.文中还对所提出的简化公式和改进设计建议进行了算例验证.结果表明:回归得到的有效翼缘宽度简化公式使用简单、易操作,因而在实际设计中具有可行性;所提出的改进设计建议有利于更好地实现"大震不倒"的设防目标.
The current theoretical calculation formula of effective flange width of RC frame considering slab reinforcement participation is too complicated and inconvenient for practical application. In order to solve these problems,by taking into account two main factors influencing effective flange width,namely,axial compression ratio and joint type,RC frames with different axial compression ratios are designed and a numerical regression analysis on the distribution of the effective flange width with different joint types is conducted. Thus,a simplified formula of effective flange width is obtained,which is convenient for practical application. Then,some issues for improving designs are suggested for the purpose of No Collapsing in the Strong Earthquake,and the suggestions and the simplified formulas are verified by an example. The results show that( 1) the simplified formula is simple and easy to handle,so it is feasible in actual designs; and( 2) the suggestions help to realize the purpose of No Collapsing in the Strong Earthquake better.
The current theoretical calculation formula of effective flange width of RC frame considering slab reinforcement participation is too complicated and inconvenient for practical application. In order to solve these problems,by taking into account two main factors influencing effective flange width,namely,axial compression ratio and joint type,RC frames with different axial compression ratios are designed and a numerical regression analysis on the distribution of the effective flange width with different joint types is conducted. Thus,a simplified formula of effective flange width is obtained,which is convenient for practical application. Then,some issues for improving designs are suggested for the purpose of No Collapsing in the Strong Earthquake,and the suggestions and the simplified formulas are verified by an example. The results show that( 1) the simplified formula is simple and easy to handle,so it is feasible in actual designs; and( 2) the suggestions help to realize the purpose of No Collapsing in the Strong Earthquake better.
引文
[1]吴波,王明君.混凝土空间板柱结构的震致落层倒塌分析[J].华南理工大学学报:自然科学版,2012,40(2):1-6.Wu Bo,Wang Ming-jun.Analysis of pancake collapse of RC space slab-column structures under earthquake[J].Journal of South China University of Technology:Natural Science Edition,2012,40(2):1-6.
[2]Bin Z,Fabio T,Tiziana R.Field investigation on the performance of building structures during the 12 May 2008Wenchuan earthquake in China[J].Engineering Structures,2009,31(8):1707-1723.
[3]公茂盛,杨永强,谢礼立.芦山7.0级地震中钢筋混凝土框架结构震害分析[J].地震工程与工程振动,2013,33(3):20-26.Gong Mao-sheng,Yang Yong-qiang,Xie Li-li.Seismic damage to reinforced concrete frame buildings in Lushan M7.0 earthquake[J].Journal of Earthquake Engineering of Engineering Vibration,2013,33(3):20-26.
[4]Alemdar B,Ahmet C A,Mevlüt P.Performance and damages of reinforced concrete buildings during the October 23and November 9,2011 Van,Turkey,earthquakes[J].Soil Dynamics and Earthquake Engineering,2013,53(10):49-72.
[5]杨小卫,王亚勇.考虑板筋参与梁端承载力贡献的设计方法及抗震性能研究[J].建筑科学,2011,27(7):11-16.Yang Xiao-wei,Wang Ya-yong.Study on design method and seismic performance in consideration of the contribution of rebar in slabs to the bearing capacity of beams[J].Building Science,2011,27(7):11-16.
[6]杨红,朱振华,白绍良.双向地震作用下我国“强柱弱梁”措施的有效性评估[J].土木工程学报,2011,44(1):58-64.Yang Hong,Zhu Zhen-hua,Bai Shao-liang.An evaluation of the effectiveness of the Chinese strong column weak beam measure under bi-directional horizontal seismic excitations[J].China Civil Engineering Journal,2011,44(1):58-64.
[7]王素裹,韩小雷,季静.现浇楼板对RC框架结构破坏形式的影响分析[J].土木建筑与环境工程,2009,31(1):66-71.Wang Su-guo,Han Xiao-lei,Ji Jing.The effect of slabs on the failure mode of reinforced concrete frame structures[J].Journal of Civil,Architectural&Environmental Engineering,2009,31(1):66-71.
[8]王素裹.结构整体效应对RC框架结构屈服机制的影响(一):数值分析[J].重庆大学学报,2013,36(10):126-132.Wang Su-guo.Research on the influence of structure integral performance to the RC frame structure failure mode(Ⅰ):numerical analysis[J].Journal of Chongqing University,2013,36(10):126-132.
[9]NZS 3101,Concrete Structures Standard[S].
[10]ACI Committee 318.Building code requirements for structural concrete(ACI 318-11)and commentary[S].Farmington Hills:American Concrete Institute,2011.
[11]CEN.Eurocode 8:design of structures for earthquake resistance—part 1:general rules,seismic actions and rules for buildings[S].Bruxelles:European Committee for Standardization,2004.
[12]GB 50011—2010,建筑抗震设计规范[S].
[13]吴勇,雷汲川,杨红,等.板筋参与梁端负弯矩承载力问题的探讨[J].重庆建筑大学学报,2002,24(3):33-37.Wu Yong,Lei Ji-chuan,Yang Hong,et al.Discussion on negative flexural strength of beams including slabs[J].Journal of Chongqing Jianzhu University,2002,24(3):33-37.
[14]Ehsani M R,Wight J K.Behavior of external reinforced concrete beam to column connections subjected to earthquake type loading[R].Ann Arbor:University of Michigan,1982.
[15]Ning Ning,Qu Wenjun,Zhu Peng.Role of cast-in situ slabs in RC frames under low frequency cyclic load[J].Engineering Structures,2014,59(2):28-38.
[16]王素裹,韩小雷,季静,等.不同轴压比下RC框架结构“强柱弱梁”设计准则的实现[J].世界地震工程,2010,26(3):96-101.Wang Su-guo,Han Xiao-lei,Ji Jing,et al.The influence of axial compression ratios on the strong-column and weak-beam actualization of RC frames[J].World Earthquake Engineering,2010,26(3):96-101.
[17]Masi A,Santarsiero G,Nigro D.Cyclic tests on external RC beam-column joints:role of seismic design level and axial load value on the ultimate capacity[J].Journal of Earthquake Engineering,2012,17(1):110-136.
[18]Masi A,Santarsiero G,Lignola G P,et al.Study of the seismic behavior of external RC beam-column joints through experimental tests and numerical simulations[J].Engineering Structures,2013,52(7):207-219.
[19]French C W,Moehle J P.Effect of floor slab on behavior of slab-beam-column connections[J].ACI Structural Journal SP-123,1991:225-258.
[20]郑士举,蒋利学,张伟平.现浇混凝土框架梁端截面有效翼缘宽度的试验研究与分析[J].结构工程师,2009,25(2):134-140.Zheng Shi-ju,Jiang Li-xue,Zhang Wei-ping.Experimental research and analysis of effective flange width of beam end section in cast-in-situ concrete frame[J].Structural Engineers,2009,25(2):134-140.
[21]王素裹.强震作用下现浇RC楼板对框架结构破坏形态影响的研究[D].广州:华南理工大学土木与交通学院,2009.
[22]GB 50010—2010,混凝土结构设计规范[S].
[2]Bin Z,Fabio T,Tiziana R.Field investigation on the performance of building structures during the 12 May 2008Wenchuan earthquake in China[J].Engineering Structures,2009,31(8):1707-1723.
[3]公茂盛,杨永强,谢礼立.芦山7.0级地震中钢筋混凝土框架结构震害分析[J].地震工程与工程振动,2013,33(3):20-26.Gong Mao-sheng,Yang Yong-qiang,Xie Li-li.Seismic damage to reinforced concrete frame buildings in Lushan M7.0 earthquake[J].Journal of Earthquake Engineering of Engineering Vibration,2013,33(3):20-26.
[4]Alemdar B,Ahmet C A,Mevlüt P.Performance and damages of reinforced concrete buildings during the October 23and November 9,2011 Van,Turkey,earthquakes[J].Soil Dynamics and Earthquake Engineering,2013,53(10):49-72.
[5]杨小卫,王亚勇.考虑板筋参与梁端承载力贡献的设计方法及抗震性能研究[J].建筑科学,2011,27(7):11-16.Yang Xiao-wei,Wang Ya-yong.Study on design method and seismic performance in consideration of the contribution of rebar in slabs to the bearing capacity of beams[J].Building Science,2011,27(7):11-16.
[6]杨红,朱振华,白绍良.双向地震作用下我国“强柱弱梁”措施的有效性评估[J].土木工程学报,2011,44(1):58-64.Yang Hong,Zhu Zhen-hua,Bai Shao-liang.An evaluation of the effectiveness of the Chinese strong column weak beam measure under bi-directional horizontal seismic excitations[J].China Civil Engineering Journal,2011,44(1):58-64.
[7]王素裹,韩小雷,季静.现浇楼板对RC框架结构破坏形式的影响分析[J].土木建筑与环境工程,2009,31(1):66-71.Wang Su-guo,Han Xiao-lei,Ji Jing.The effect of slabs on the failure mode of reinforced concrete frame structures[J].Journal of Civil,Architectural&Environmental Engineering,2009,31(1):66-71.
[8]王素裹.结构整体效应对RC框架结构屈服机制的影响(一):数值分析[J].重庆大学学报,2013,36(10):126-132.Wang Su-guo.Research on the influence of structure integral performance to the RC frame structure failure mode(Ⅰ):numerical analysis[J].Journal of Chongqing University,2013,36(10):126-132.
[9]NZS 3101,Concrete Structures Standard[S].
[10]ACI Committee 318.Building code requirements for structural concrete(ACI 318-11)and commentary[S].Farmington Hills:American Concrete Institute,2011.
[11]CEN.Eurocode 8:design of structures for earthquake resistance—part 1:general rules,seismic actions and rules for buildings[S].Bruxelles:European Committee for Standardization,2004.
[12]GB 50011—2010,建筑抗震设计规范[S].
[13]吴勇,雷汲川,杨红,等.板筋参与梁端负弯矩承载力问题的探讨[J].重庆建筑大学学报,2002,24(3):33-37.Wu Yong,Lei Ji-chuan,Yang Hong,et al.Discussion on negative flexural strength of beams including slabs[J].Journal of Chongqing Jianzhu University,2002,24(3):33-37.
[14]Ehsani M R,Wight J K.Behavior of external reinforced concrete beam to column connections subjected to earthquake type loading[R].Ann Arbor:University of Michigan,1982.
[15]Ning Ning,Qu Wenjun,Zhu Peng.Role of cast-in situ slabs in RC frames under low frequency cyclic load[J].Engineering Structures,2014,59(2):28-38.
[16]王素裹,韩小雷,季静,等.不同轴压比下RC框架结构“强柱弱梁”设计准则的实现[J].世界地震工程,2010,26(3):96-101.Wang Su-guo,Han Xiao-lei,Ji Jing,et al.The influence of axial compression ratios on the strong-column and weak-beam actualization of RC frames[J].World Earthquake Engineering,2010,26(3):96-101.
[17]Masi A,Santarsiero G,Nigro D.Cyclic tests on external RC beam-column joints:role of seismic design level and axial load value on the ultimate capacity[J].Journal of Earthquake Engineering,2012,17(1):110-136.
[18]Masi A,Santarsiero G,Lignola G P,et al.Study of the seismic behavior of external RC beam-column joints through experimental tests and numerical simulations[J].Engineering Structures,2013,52(7):207-219.
[19]French C W,Moehle J P.Effect of floor slab on behavior of slab-beam-column connections[J].ACI Structural Journal SP-123,1991:225-258.
[20]郑士举,蒋利学,张伟平.现浇混凝土框架梁端截面有效翼缘宽度的试验研究与分析[J].结构工程师,2009,25(2):134-140.Zheng Shi-ju,Jiang Li-xue,Zhang Wei-ping.Experimental research and analysis of effective flange width of beam end section in cast-in-situ concrete frame[J].Structural Engineers,2009,25(2):134-140.
[21]王素裹.强震作用下现浇RC楼板对框架结构破坏形态影响的研究[D].广州:华南理工大学土木与交通学院,2009.
[22]GB 50010—2010,混凝土结构设计规范[S].
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