Influence of horizontal curvature of prestressing tendon in transverse beams on concrete cable-stayed bridge inclined web
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摘要: 分析了采用双边箱主梁截面的混凝土斜拉桥张拉横梁平弯预应力束时边箱斜腹板混凝土出现的横桥向裂缝, 基于弹性理论分析了这种情况下混凝土主拉应力。假设预应力束的平弯曲线为直线, 用直线段上的均布荷载代替预应力束对斜腹板的作用, 采用无限大板作用集中力的弹性力学公式, 通过对直线段上应力积分和坐标变换, 求得了估计这种情况下的斜腹板混凝土主拉应力的公式, 并据此提出减小主拉应力的方法。理论分析结果显示, 将预应力束的平弯曲线用直线代替产生的误差不超过2%, 该公式计算结果与有限元结果及实测数据比较表明, 主拉应力的计算误差小于0.2MPa, 结果满足工程精度需要, 该方法可行。Abstract: Aimed at the cracks in the concrete inclined web of concrete cable-stayed bridge because of the horizontal curvature of prestressing tendon in transverse beam, the tensile stress was analyzed with elastic theory. This paper assumed the curve of strand as line, used distributed load to replace the action of prestressing tendon on concrete inclined web, based on the elastic mechanics formula of infinite plate with concentrated force acting, derived the simplified formula for calculating the stress of concrete inclined web through integral on line and coordinate switch. The results show that the error of considering the curve of strand as line is less than 2%, through the comparison with the result of FEA(finite element analysis) and experimental data, the error of principal tensile stress is less than 0.2 MPa, which prove that the precision of the method meets engineering calculation requirement, the method is feasible.
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Key words:
- bridge engineering /
- concrete cable-stayed bridge /
- transverse beam /
- prestressing tendon /
- side box /
- inclined web
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图 8 预应力束布置以及断面形式(单位: cm)
Figure 8. Strand and cross section layout of full scale model
表 1 k的取值
Table 1. k values
x/(Rθ) 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 -1.1 -1.2 -1.3 -1.4 -1.5 -1.6 -1.7 k 0.500 0.473 0.443 0.410 0.376 0.343 0.312 0.285 0.261 0.240 0.222 0.206 0.192 0.179 0.168 0.158 0.149 0.141 
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表 2 计算值和实测值对比
Table 2. Constrison of calculated and measured values /MPa
s/mm 式(7) 有限元法 实测主拉应力 -20 2.82 2.91 测点失效 -60 2.77 2.74 无测点 -100 2.75 2.68 无测点 -150 2.67 2.61 2.7 -200 2.60 2.57 无测点 -250 2.51 2.48 2.5
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[1] 林元培. 斜拉桥[M]. 北京: 人民交通出版社, 1997. [2] 东南大学交通学院. 滨州黄河公路大桥主梁节段足尺模型试验研究[R]. 南京: 东南大学, 2003. [3] 项海帆. 高等桥梁结构理论[M]. 北京: 人民交通出版社, 2001. [4] [苏]铁摩辛柯, 古地尔. 弹性理论[M]. 北京: 高等教育出版社, 1990. [5] 叶见曙. 结构设计原理[M]. 北京: 人民交通出版社, 1997. [6] 吴家龙. 弹性力学[M]. 北京: 高等教育出版社, 2001. [7] 王春生, 陈惟珍, 陈艾荣. 桥梁损伤安全评定与维护管理策略[J]. 交通运输工程学报, 2002, 2(4): 21-27. http://transport.chd.edu.cn/article/id/200204005Wang Chun-sheng, Chen Wei-zhen, Chen Ai-rong. Damage safety assessment and maintenance management strategy of bridges[J]. Journal of Traffic and Transportation Engineering, 2002, 2(4): 21-27. (in Chinese) http://transport.chd.edu.cn/article/id/200204005 [8] 刘永健, 周绪红, 颜东煌, 等. 单边索斜塔钢-混凝土结合梁斜拉桥塔梁根部应力分析[J]. 中国公路学报, 2003, 16(2): 66 -69. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200302016.htmLiu Yong-jian, Zhou Xu-hong, Yan Dong-huang, et al. Stress analysis of tower-beam joint of inclined tower cable-stayed bridge with steel-concrete girder[J]. China Journal of Highway and Transport, 2003, 16(2): 66-69. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200302016.htm [9] 刘来君, 陈跃, 段永灿. 弯曲应力引起的预应力混凝土箱梁开裂[J]. 长安大学学报(自然科学版), 2003, 23(5): 43-45. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200305012.htmLiu Lai-jun, Chen Yue, Duan Yong-can. Crack in prestressed concrete box girder due to bending stress[J]. Journal of Chang'an University(Natural Science Edition), 2003, 23(5): 43-45. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200305012.htm [10] 刘来君, 王东阳. 预应力混凝土平面曲线箱梁裂缝[J]. 长安大学学报(自然科学版), 2004, 24(3): 35-38. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200403009.htmLiu Lai-jun, Wang Dong-yang. Crack of prestressed concrete box girder in plane curve[J]. Journal of Chang'an University (Natural Science Edition), 2004, 24(3): 35-38. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200403009.htm [11] 戴公连, 李德建. 浏阳河洪山大桥异形斜拉桥主梁空间受力及稳定性分析[J]. 中国公路学报, 2002, 15(3): 53-56. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200203011.htmDai Gong-lian, Li De-jian. Spatial analysis of internal force and stability on cable-stayed bridge without back stay over Liuyang river[J]. China Journal of Highway and Transport, 2002, 15(3): 53-56. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200203011.htm [12] 刘庆宽, 强士中, 张强, 等. 斜拉桥耳板索梁锚固结构受力特性研究[J]. 中国公路学报, 2002, 15(1): 72-75. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200201016.htmLiu Qing-kuan, Qiang Shi-zhong, Zhang Qiang, et al. Structural analysis of ear-plate cable and beam anchorage for cablestayed bridge[J]. China Journal of Highway and Transport, 2002, 15(1): 72-75. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200201016.htm [13] 项贻强, 陈国强. 鄱阳湖口大桥索塔节段足尺模型试验与分析研究[J]. 中国公路学报, 2000, 13(4): 75-78. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200004016.htmXiang Yi-qiang, Chen Guo-qiang. The test and spatial analysis for the full scale segment model of the cable pylon of Poyang Hukou bridge[J]. China Journal of Highway and Transport, 2000, 13(4): 75-78. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200004016.htm [14] 狄谨, 黄庆. 无背索斜塔钢-混凝土结合梁斜拉桥施工控制仿真[J]. 长安大学学报(自然科学版), 2004, 24(3): 43-47. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200403011.htmDi Jin, Huang Qing. Simulation of construction control for one inclined tower cable-stayed bridge of steel-concrete composite box girder without back stay[J]. Journal of Chang'an University(Natural Science Edition), 2004, 24(3): 43-47. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200403011.htm -
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