拼宽空心板桥荷载横向分布计算方法
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摘要
为研究拼宽空心板桥荷载横向分布系数的计算方法,首先分别开展采用8,22 cm铺装层的空心板桥足尺模型荷载横向分布试验,接着开展采用刚性拼接结构的拼宽空心板桥足尺模型荷载横向分布试验,并将试验结果与既有铰接板法和刚接板法荷载横向分布系数的计算结果进行对比分析;最后讨论既有铰接板法和刚接板法的适用范围,进而提出了一种新的荷载横向分布系数计算方法,并探讨拼宽空心板桥的拼接结构刚度取值的合理范围。研究结果表明:既有铰接板法和刚接板法分别适用于计算铺装层厚度较小和较大的空心板桥荷载横向分布系数,但二者均无法考虑不同铺装层厚度对荷载横向分布的影响,为此提出了考虑铺装层厚度影响的荷载横向分布系数计算方法,相应的计算结果与试验结果的偏差仅为2.7%;对于采用刚性拼接结构的拼宽空心板桥,铰接板法或者刚接板法均无法正确地反映拼宽空心板桥的荷载横向分布规律,为此提出了考虑拼接结构刚度的拼宽空心板桥荷载横向分布系数计算方法,其中新旧桥板高错位布置的拼宽空心板桥拼接结构刚度为不考虑新桥铺装层厚度的刚度,该方法求得的荷载横向分布规律与试验结果的变化趋势一致,相应的计算结果与试验结果的最大偏差仅为5.4%。
To study the load transverse-distribution calculation method for a widening hollow slab bridge with rigid splicing joint, full-scale model tests were carried out on a hollow-slab bridge with 8 cm and 22 cm pavement and a widening hollow slab bridge with rigid splicing joint. The experimental and calculation results from the existing load transverse-distribution calculation methods that assumed the shear key among the hollow slabs as hinged and rigid joints were comparatively analyzed. The application scope of these existing load transverse-distribution calculation methods with the above-mentioned assumptions was discussed. Then, a new calculation method of load transverse-distribution was put forward. Further, the calculation method of the load transverse-distribution for a widening hollow slab bridge with rigid splicing joint was presented. The results indicate that the existing load transverse-distribution calculation methods that assumed the shear key among the hollow slabs as hinged and rigid joints are applicable for hollow slab bridges with thin and thick pavements, respectively. Both calculation methods could not consider the influence of different pavement thicknesses on the load transverse-distribution. Therefore, a load transverse-distribution calculation method that considers the effect of pavement thickness was proposed. The deviation between the experimental and calculated results using the proposed method was reduced to 2.7%. The load transverse-distribution regularity of a widening hollow slab bridge could not be accurately reflected in the widening hollow slab bridge with rigid splicing joint irrespective if the splicing joint is considered as hinged or rigid joint. Therefore, a calculation method of the load transverse-distribution that considers the splicing-joint stiffness was proposed. The method that uses the stiffness of the splicing joint without considering the pavement thickness of a new bridge in terms of the stiffness of the old and new slabs of a widening hollow slab bridge with unequal-height and rigid splicing joint is proposed. The regularity of the load transverse-distribution obtained from the proposed method is similar to that of the experimental result. Therefore, the calculation precision of the load transverse-distribution can be significantly improved up to a maximum deviation of 5.4%.
To study the load transverse-distribution calculation method for a widening hollow slab bridge with rigid splicing joint, full-scale model tests were carried out on a hollow-slab bridge with 8 cm and 22 cm pavement and a widening hollow slab bridge with rigid splicing joint. The experimental and calculation results from the existing load transverse-distribution calculation methods that assumed the shear key among the hollow slabs as hinged and rigid joints were comparatively analyzed. The application scope of these existing load transverse-distribution calculation methods with the above-mentioned assumptions was discussed. Then, a new calculation method of load transverse-distribution was put forward. Further, the calculation method of the load transverse-distribution for a widening hollow slab bridge with rigid splicing joint was presented. The results indicate that the existing load transverse-distribution calculation methods that assumed the shear key among the hollow slabs as hinged and rigid joints are applicable for hollow slab bridges with thin and thick pavements, respectively. Both calculation methods could not consider the influence of different pavement thicknesses on the load transverse-distribution. Therefore, a load transverse-distribution calculation method that considers the effect of pavement thickness was proposed. The deviation between the experimental and calculated results using the proposed method was reduced to 2.7%. The load transverse-distribution regularity of a widening hollow slab bridge could not be accurately reflected in the widening hollow slab bridge with rigid splicing joint irrespective if the splicing joint is considered as hinged or rigid joint. Therefore, a calculation method of the load transverse-distribution that considers the splicing-joint stiffness was proposed. The method that uses the stiffness of the splicing joint without considering the pavement thickness of a new bridge in terms of the stiffness of the old and new slabs of a widening hollow slab bridge with unequal-height and rigid splicing joint is proposed. The regularity of the load transverse-distribution obtained from the proposed method is similar to that of the experimental result. Therefore, the calculation precision of the load transverse-distribution can be significantly improved up to a maximum deviation of 5.4%.
引文
[1] SONG S T,CHAI Y H,HIDA S E.Live-load Distribution Factors for Concrete Box-girder Bridges [J].Journal of Bridge Engineering,2003,8 (5):273-280.
[2] BARR P J,EBERHARD M O,STANTON J F.Live-load Distribution Factors in Prestressed Concrete Girder Bridges [J].Journal of Bridge Engineering,2001,6 (5):298-306.
[3] YOUSIF Z,HINDI R.AASHTO-LRFD Live Load Distribution for Beam-and-slab Bridges:Limitations and Applicability[J].Journal of Bridge Engineering.2007,12(6):765-773.
[4]李国豪,石洞.公路桥梁荷载横向分布计算[M].北京:人民交通出版社,1987.LI Guo-hao,SHI Dong.The Load Transverse Distribution Coefficient Calculation of Highway Bridges[M].Beijing:China Communications Press,1987.
[5]程翔云.铰接板荷载横向分布影响线竖标表的扩宽应用[J].中南公路工程,1990(1):41-44.CHENG Xiang-yun.Broadening Application of Vertical Value of Load Transverse Distribution Influence Line for the Hinged Slab[J].Central South Highway Engineering,1990(1):41-44.
[6]姚玲森,程翔云.钢筋混凝土梁桥[M].北京:人民交通出版社,1982.YAO Ling-sen,CHENG Xiang-yun.Reinforced Concrete Beam Bridge[M].Beijing:China Communications Press,1982.
[7]项贻强.斜交铰接板桥荷载的横向分布[J].华东公路,1991(3):35-38.XIANG Yi-qiang.Load Transverse Distribution of Skew Slab Bridge[J].East China Highway,1991(3):35-38.
[8]刘德宝.异型铰接板梁的横向分布系数计算方法[J].公路,2001(8):9-11.LIU De-bao.Calculation Method of Transversal Distribution Factor for Articulated Deformation Slab Girder[J].Highway,2001(8):9-11.
[9]余钱华,李昌州.斜宽连续空心板桥荷载横向分布系数的研究[J].中外公路,2013,33(3):127-130.YU Qian-hua,LI Chang-zhou.Study on Transverse Load Distribution of Skew-width Continuous Voiled Slab Bridge[J].Journal of China and Foreign Highway,2013,33(3):127-130.
[10]项贻强,邢骋,邵林海,等.横向加固空心板梁桥荷载横向分布计算方法与试验研究[J].中国公路学报,2013,26(2):63-68,76.XIANG Yi-qiang,XING Cheng,SHAO Lin-hai, et al.Calculating Method and Experimental Research on Lateral Load Distribution of Transversely Strengthened Hollow Slab Bridge[J].China Journal of Highway and Transport,2013,26(2):63-68,76.
[11]王浩,朱若溪,张肇红.连接刚度对加宽桥梁荷载横向分布的影响分析[J].公路,2013(7):143-146.WANG Hao,ZHU Ruo-xi,ZHANG Zhao-hong.Influenced Analysis on Connection Stiffness to Load Transverse Distribution of Widening Bridge[J].Highway,2013(7):143-146.
[12]魏保立,邓苗毅.损伤桥梁的荷载横向分布计算方法研究[J].河南理工大学学报:自然科学版,2015,34(1):102-108.WEI Bao-li,DENG Miao-yi.Computional Method Analysis for Transverse Load Distribution of Damage Bridge[J].Journal of Henan Polytechnic University:Natural Science,2015,34(1):102-108.
[13]葛素娟,张高奎,陈淮.设置横隔板对空心板桥荷载横向分布的影响[J].铁道科学与工程学报,2012,9(2):34-37.GE Su-juan,ZHANG Gao-kui,CHEN Huai.Influence of Horizontal Clapboard on Load Transverse Distribution of Hollow Plate Bridge[J].Journal of Railway Science and Engineering,2012,9(2):34-37.
[14]刘其伟,王成明,李捷.装配式空心板桥荷载横向分布计算方法比较分析[J].建筑科学与工程学报,2011,28(2):100-105.LIU Qi-wei,WANG Cheng-ming,LI Jie.Comparison and Analysis of Calculation Method of Transverse Load Distribution for Fabricated Hollow Slab Bridges[J].Journal of Architecture and Civil Engineering,2011,28(2):100-105.
[15]郝国强.考虑铺装层叠合效应简支板梁桥力学性能研究[D].长春:吉林大学,2009.HAO Guo-qiang.Study on Mechanical Properties of Simple Supported Beam Bridge Which Considering Superimposed Effect of Bridge Deck Pavement[D].Changchun:Jilin University,2009.
[16]张艳.桥面铺装叠合层加固空心板桥荷载横向分布研究[D].西安:长安大学,2010.ZHANG Yan.Study on Load Transverse Distribution of Voided Slab Bridge Which Is Strengthened with Superimposed Structure of Bridge Deck Pavement[D].Xi'an:Chang'an University,2010.
[17]凌伟.装配式空心板桥铰缝受力性能研究[D].福州:福州大学,2013.LING Wei.Study on Mechanical Properties of Assembly Voided Slab Bridge Hinge Joint Under the Load[D].Fuzhou:Fuzhou University,2013.
[18]王敏强,薛飞,张桓,等.铰接板梁桥载荷横向分布影响线计算方法[J].武汉大学学报:工学版,2004,37(4):68-72.WANG Min-qiang,XUE Fei,ZHANG Huan,et al.Method of Calculation of Transverse Load Distribution Influence Line for an Articulated Slab Girder Bridge[J].Engineering Journal of Wuhan University,2004,37(4):68-72.
[19]潘秀艳.装配板桥板宽不一致时荷载横向分布计算[J].西部探矿工程,2005(11):204-205.PAN Xiu-yan.Calculation of Load Transverse Distribution for the Assembly Slab Bridge with Different Slab Width[J].West-China Exploration Engineering,2005(11):204-205.
[20]陈记豪,赵顺波,姚继涛.既有预应力空心板桥加宽设计的荷载横向分布计算方法[J].工程力学,2012,29(9):265-271.CHEN Ji-hao,ZHAO Shun-bo,YAO Ji-tao.Method for Calculating Vehicle Load Transverse Distribution in Widening Design of Existing PPCHS Bridge[J].Engineering Mechanics,2012,29(9):265-271.
[21]陈悦驰,吴庆雄,陈宝春.装配式空心板桥铰缝破坏模式有限元分析[J].工程力学,2014,31(增):51-58.CHEN Yue-chi,WU Qing-xiong,CHEN Bao-chun.Finite Element Analysis on the Failure Mode of Hinged Joint in Assembly Voided Slab Bridge[J].Engineering Mechanics,2014,31(S):51-58.
[22]王渠,吴庆雄,陈宝春.装配式空心板桥铰缝破坏模式试验研究[J].工程力学,2014,31(增):115-120.WANG Qu,WU Qing-xiong,CHEN Bao-chun.Test Study on the Failure Mode of Hinged Joint in Assembly Voicled Slab Bridge[J].Engineering Mechanics,2014,31(S):115-120.
[23]陈宝春,陈友杰,赵秋.桥梁工程[M].3版.北京:人民交通出版社,2017.CHEN Bao-chun, CHEN You-jie, ZHAO Qiu.Bridge Engineering[M].3rd ed.Beijing:China Communications Press,2017.
[2] BARR P J,EBERHARD M O,STANTON J F.Live-load Distribution Factors in Prestressed Concrete Girder Bridges [J].Journal of Bridge Engineering,2001,6 (5):298-306.
[3] YOUSIF Z,HINDI R.AASHTO-LRFD Live Load Distribution for Beam-and-slab Bridges:Limitations and Applicability[J].Journal of Bridge Engineering.2007,12(6):765-773.
[4]李国豪,石洞.公路桥梁荷载横向分布计算[M].北京:人民交通出版社,1987.LI Guo-hao,SHI Dong.The Load Transverse Distribution Coefficient Calculation of Highway Bridges[M].Beijing:China Communications Press,1987.
[5]程翔云.铰接板荷载横向分布影响线竖标表的扩宽应用[J].中南公路工程,1990(1):41-44.CHENG Xiang-yun.Broadening Application of Vertical Value of Load Transverse Distribution Influence Line for the Hinged Slab[J].Central South Highway Engineering,1990(1):41-44.
[6]姚玲森,程翔云.钢筋混凝土梁桥[M].北京:人民交通出版社,1982.YAO Ling-sen,CHENG Xiang-yun.Reinforced Concrete Beam Bridge[M].Beijing:China Communications Press,1982.
[7]项贻强.斜交铰接板桥荷载的横向分布[J].华东公路,1991(3):35-38.XIANG Yi-qiang.Load Transverse Distribution of Skew Slab Bridge[J].East China Highway,1991(3):35-38.
[8]刘德宝.异型铰接板梁的横向分布系数计算方法[J].公路,2001(8):9-11.LIU De-bao.Calculation Method of Transversal Distribution Factor for Articulated Deformation Slab Girder[J].Highway,2001(8):9-11.
[9]余钱华,李昌州.斜宽连续空心板桥荷载横向分布系数的研究[J].中外公路,2013,33(3):127-130.YU Qian-hua,LI Chang-zhou.Study on Transverse Load Distribution of Skew-width Continuous Voiled Slab Bridge[J].Journal of China and Foreign Highway,2013,33(3):127-130.
[10]项贻强,邢骋,邵林海,等.横向加固空心板梁桥荷载横向分布计算方法与试验研究[J].中国公路学报,2013,26(2):63-68,76.XIANG Yi-qiang,XING Cheng,SHAO Lin-hai, et al.Calculating Method and Experimental Research on Lateral Load Distribution of Transversely Strengthened Hollow Slab Bridge[J].China Journal of Highway and Transport,2013,26(2):63-68,76.
[11]王浩,朱若溪,张肇红.连接刚度对加宽桥梁荷载横向分布的影响分析[J].公路,2013(7):143-146.WANG Hao,ZHU Ruo-xi,ZHANG Zhao-hong.Influenced Analysis on Connection Stiffness to Load Transverse Distribution of Widening Bridge[J].Highway,2013(7):143-146.
[12]魏保立,邓苗毅.损伤桥梁的荷载横向分布计算方法研究[J].河南理工大学学报:自然科学版,2015,34(1):102-108.WEI Bao-li,DENG Miao-yi.Computional Method Analysis for Transverse Load Distribution of Damage Bridge[J].Journal of Henan Polytechnic University:Natural Science,2015,34(1):102-108.
[13]葛素娟,张高奎,陈淮.设置横隔板对空心板桥荷载横向分布的影响[J].铁道科学与工程学报,2012,9(2):34-37.GE Su-juan,ZHANG Gao-kui,CHEN Huai.Influence of Horizontal Clapboard on Load Transverse Distribution of Hollow Plate Bridge[J].Journal of Railway Science and Engineering,2012,9(2):34-37.
[14]刘其伟,王成明,李捷.装配式空心板桥荷载横向分布计算方法比较分析[J].建筑科学与工程学报,2011,28(2):100-105.LIU Qi-wei,WANG Cheng-ming,LI Jie.Comparison and Analysis of Calculation Method of Transverse Load Distribution for Fabricated Hollow Slab Bridges[J].Journal of Architecture and Civil Engineering,2011,28(2):100-105.
[15]郝国强.考虑铺装层叠合效应简支板梁桥力学性能研究[D].长春:吉林大学,2009.HAO Guo-qiang.Study on Mechanical Properties of Simple Supported Beam Bridge Which Considering Superimposed Effect of Bridge Deck Pavement[D].Changchun:Jilin University,2009.
[16]张艳.桥面铺装叠合层加固空心板桥荷载横向分布研究[D].西安:长安大学,2010.ZHANG Yan.Study on Load Transverse Distribution of Voided Slab Bridge Which Is Strengthened with Superimposed Structure of Bridge Deck Pavement[D].Xi'an:Chang'an University,2010.
[17]凌伟.装配式空心板桥铰缝受力性能研究[D].福州:福州大学,2013.LING Wei.Study on Mechanical Properties of Assembly Voided Slab Bridge Hinge Joint Under the Load[D].Fuzhou:Fuzhou University,2013.
[18]王敏强,薛飞,张桓,等.铰接板梁桥载荷横向分布影响线计算方法[J].武汉大学学报:工学版,2004,37(4):68-72.WANG Min-qiang,XUE Fei,ZHANG Huan,et al.Method of Calculation of Transverse Load Distribution Influence Line for an Articulated Slab Girder Bridge[J].Engineering Journal of Wuhan University,2004,37(4):68-72.
[19]潘秀艳.装配板桥板宽不一致时荷载横向分布计算[J].西部探矿工程,2005(11):204-205.PAN Xiu-yan.Calculation of Load Transverse Distribution for the Assembly Slab Bridge with Different Slab Width[J].West-China Exploration Engineering,2005(11):204-205.
[20]陈记豪,赵顺波,姚继涛.既有预应力空心板桥加宽设计的荷载横向分布计算方法[J].工程力学,2012,29(9):265-271.CHEN Ji-hao,ZHAO Shun-bo,YAO Ji-tao.Method for Calculating Vehicle Load Transverse Distribution in Widening Design of Existing PPCHS Bridge[J].Engineering Mechanics,2012,29(9):265-271.
[21]陈悦驰,吴庆雄,陈宝春.装配式空心板桥铰缝破坏模式有限元分析[J].工程力学,2014,31(增):51-58.CHEN Yue-chi,WU Qing-xiong,CHEN Bao-chun.Finite Element Analysis on the Failure Mode of Hinged Joint in Assembly Voided Slab Bridge[J].Engineering Mechanics,2014,31(S):51-58.
[22]王渠,吴庆雄,陈宝春.装配式空心板桥铰缝破坏模式试验研究[J].工程力学,2014,31(增):115-120.WANG Qu,WU Qing-xiong,CHEN Bao-chun.Test Study on the Failure Mode of Hinged Joint in Assembly Voicled Slab Bridge[J].Engineering Mechanics,2014,31(S):115-120.
[23]陈宝春,陈友杰,赵秋.桥梁工程[M].3版.北京:人民交通出版社,2017.CHEN Bao-chun, CHEN You-jie, ZHAO Qiu.Bridge Engineering[M].3rd ed.Beijing:China Communications Press,2017.