Volume 22 Issue 4
Aug.  2022
Turn off MathJax
Article Contents
WANG Ling-bo, YUAN Hao-yun. Calculation method of post-tensioned prestressed anchorage loss considering influence of asymmetric friction[J]. Journal of Traffic and Transportation Engineering, 2022, 22(4): 170-185. doi: 10.19818/j.cnki.1671-1637.2022.04.013
Citation: WANG Ling-bo, YUAN Hao-yun. Calculation method of post-tensioned prestressed anchorage loss considering influence of asymmetric friction[J]. Journal of Traffic and Transportation Engineering, 2022, 22(4): 170-185. doi: 10.19818/j.cnki.1671-1637.2022.04.013

Calculation method of post-tensioned prestressed anchorage loss considering influence of asymmetric friction

doi: 10.19818/j.cnki.1671-1637.2022.04.013
Funds:

National Key Research and Development Program of China 2021YFB1600305

More Information
  • Author Bio:

    WANG Ling-bo(1984-), female, associate professor, PhD, wanglingbo@chd.edu.cn

    YUAN Hao-yun(1990-), male, Engineer, PhD, 1589104770@qq.com

  • Received Date: 2022-02-01
    Available Online: 2022-10-08
  • Publish Date: 2022-08-25
  • To improve the calculation method of prestressed anchorage loss of post-tensioned prestressed concrete beams with mixed straight lines and curves and enhance the theoretical calculation accuracy of the prestressed anchorage loss, an static equilibrium equation was established for the micro-segment of prestressed steel bundles. According to the deformation coordination relationship and stress continuity conditions between different steel bundle shapes, the actual influencing parameters of the mixed distribution of straight lines and curves of the prestressed steel bundles as well as the difference between the positive friction and anti-friction losses in design were considered. A piecewise approximation theory for calculating the anchorage loss of prestressed mixed bundles was established. The exact calculation formula of the prestressed anchorage loss was deduced, and a Python program was compiled to realize an automatic solution and simplified calculation. Through the field full-scale model test, the calculation errors of the exact formula and the theoretical algorithm for the prestressed anchorage loss in the current highway and railway bridge design codes were compared. Research results show that the anti-friction effect of post-tensioned prestressed bundles with mixed straight lines and curves for anchorage is smaller than the positive friction effect during the tensioning, and the actual anti-friction influence length greatly deviates from algorithms in the current bridge design codes. The anti-friction influence range calculated by the proposed method is generally closer to that in the Chinese railway bridge design code and is 16.7% and 14.9% higher than the current highway and railway bridge design codes in terms of accuracy and dispersion, respectively. Furthermore, it is highly correlated with the model test data, with small variability. In the related research on the post-tensioned prestressed concrete structures, the influences of the shape of actual prestressed mixed straight lines and curves, as well as the asymmetric positive friction and anti-friction effects, should be considered, and the piecewise approximation method should be used to calculate the prestressed anchorage loss of steel bundles. In the design of post-tensioned prestressed concrete structures, it is recommended to use the current railway bridge design code to calculate the anti-friction effect from the perspective of simplifying the calculation.

     

  • loading
  • [1]
    涂健, 赵体波, 雷俊卿. 预应力混凝土连续箱梁裂缝产生原因及预防措施研究[J]. 铁道建筑, 2021, 61(10): 35-39. https://www.cnki.com.cn/Article/CJFDTOTAL-TDJZ202110007.htm

    TU Jian, ZHAO Ti-bo, LEI Jun-qing. Study on causes and preventive measures of cracks in PC continuous box girder[J]. Railway Engineering, 2021, 61(10): 35-39. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDJZ202110007.htm
    [2]
    VEREECKEN E, BOTTE W, LOMBAERT G, et al. Assessment of corroded prestressed and posttensioned concrete structures: a review[J]. Structural Concrete, 2021, 22(5): 2556-2580. doi: 10.1002/suco.202100050
    [3]
    HE Zhi-qi, ZHUO Wei-ding, JIANG Ye-dong, et al. Transverse post-tensioning in long-span concrete box-girder bridges: refined modeling and alternative system[J]. Journal of Bridge Engineering, 2020, 25(3): 04020005. doi: 10.1061/(ASCE)BE.1943-5592.0001528
    [4]
    樊见维, 张峰, 高磊, 等. 预应力夹片锚钢筋回缩量概率分布模型[J]. 重庆交通大学学报(自然科学版), 2019, 38(3): 9-13, 74. doi: 10.3969/j.issn.1674-0696.2019.03.02

    FAN Jian-wei, ZHANG Feng, GAO Lei, et al. Rebar retraction probability distribution model of prestressed clip anchor[J]. Journal of Chongqing Jiaotong University (Natural Science), 2019, 38(3): 9-13, 74. (in Chinese) doi: 10.3969/j.issn.1674-0696.2019.03.02
    [5]
    DENG Jun, RASHID K, LI Xiao-da, et al. Comparative study on prestress loss and flexural performance of rectangular and T beam strengthened by prestressing CFRP plate[J]. Composite Structures, 2021, 262: 113340. doi: 10.1016/j.compstruct.2020.113340
    [6]
    YE Cong, BUTLER L J, ELSHAFIE M Z E B, et al. Evaluating prestress losses in a prestressed concrete girder railway bridge using distributed and discrete fibre optic sensors[J]. Construction and Building Materials, 2020, 247: 118518. doi: 10.1016/j.conbuildmat.2020.118518
    [7]
    贺拴海, 赵祥模, 马建, 等. 公路桥梁检测及评价技术综述[J]. 中国公路学报, 2017, 30(11): 63-80. doi: 10.3969/j.issn.1001-7372.2017.11.007

    HE Shuan-hai, ZHAO Xiang-mo, MA Jian, et al. Review of highway bridge inspection and condition assessment[J]. China Journal of Highway and Transport, 2017, 30(11): 63-80. (in Chinese) doi: 10.3969/j.issn.1001-7372.2017.11.007
    [8]
    韩智强, 周勇军, 赵洲, 等. 预应力混凝土简支梁桥锚下有效预应力分析[J]. 力学季刊, 2021, 42(2): 397-404. doi: 10.15959/j.cnki.0254-0053.2021.02.019

    HAN Zhi-qiang, ZHOU Yong-jun, ZHAO Zhou, et al. Research on anchorage effective prestress detection of prestressed concrete simply supported beam bridge[J]. Chinese Quarterly of Mechanics, 2021, 42(2): 397-404. (in Chinese) doi: 10.15959/j.cnki.0254-0053.2021.02.019
    [9]
    张利强, 张元海. 现行规范中后张梁锚固损失对比分析[J]. 兰州工业学院学报, 2021, 28(2): 32-38. doi: 10.3969/j.issn.1009-2269.2021.02.007

    ZHANG Li-qiang, ZHANG Yuan-hai. Comparison and analysis of anchorage losses of post-tensioned bridge in current code[J]. Journal of Lanzhou Institute of Technology, 2021, 28(2): 32-38. (in Chinese) doi: 10.3969/j.issn.1009-2269.2021.02.007
    [10]
    GARBER D B, GALLARDO J M, DESCHENES D J, et al. Prestress loss calculations: another perspective[J]. PCI Journal, 2016, 61(3): 68-85.
    [11]
    CHOI J, WOODS C R, HRYNYK T D, et al. Behavior of curved post-tensioned concrete structures without through-thickness reinforcement[J]. ACI Structural Journal, 2017, 114(4): 983-994.
    [12]
    魏志民, 张露露, 文鹏. 中俄规范混凝土结构钢筋预应力损失计算的对比分析[J]. 水运工程, 2022(7): 45-48, 54. https://www.cnki.com.cn/Article/CJFDTOTAL-SYGC202207007.htm

    WEI Zhi-min, ZHANG Lu-lu, WEN Peng. Comparative analysis on the calculation of prestress loss of reinforced concrete structure in Chinese and Russian codes[J]. Port and Waterway Engineering, 2022(7): 45-48, 54. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SYGC202207007.htm
    [13]
    GENDY A, RASHED M. Simplified computation of time dependent effects of segmental bridges[J]. International Journal of Bridge Engineering, 2018, 6(2): 85-107.
    [14]
    李长雨. 弯桥预应力摩阻试验[J]. 辽宁工程技术大学学报(自然科学版), 2016, 35(6): 597-602. https://www.cnki.com.cn/Article/CJFDTOTAL-FXKY201606008.htm

    LI Chang-yu. Prestress friction test for curved bridge[J]. Journal of Liaoning Technical University (Natural Science), 2016, 35(6): 597-602. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-FXKY201606008.htm
    [15]
    龚良勇, 王俊召. 预应力钢筋回缩引起的预应力损失简化计算研究[J]. 中外公路, 2019, 39(4): 102-107. https://www.cnki.com.cn/Article/CJFDTOTAL-GWGL201904020.htm

    GONG Liang-yong, WANG Jun-zhao. Study on simplified calculation of prestress loss caused by retraction of prestressed reinforcement[J]. Journal of China and Foreign Highway, 2019, 39(4): 102-107. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GWGL201904020.htm
    [16]
    张开银, 张斌, 许灿. 预应力混凝土桥梁弯曲孔道摩阻预应力损失分析[J]. 公路工程, 2021, 47(3): 9-14. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL202203002.htm

    ZHANG Kai-yin, ZHANG Bin, XU Can. Analysis of prestress loss due to friction in curved ducts of prestressed concrete bridge[J]. Highway Engineering, 2021, 47(3): 9-14. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL202203002.htm
    [17]
    SHI Hui-bin, GUO Qi. Study of simplified calculating model on friction correlated prestress loss for PC bridges[J]. IOP Conference Series: Earth and Environmental Science, 2020, 510(5): 052066.
    [18]
    GUO Qi. Iterative prediction on friction loss parameters of prestress tendon[J]. Applied Mechanics and Materials, 2014, 501-504: 1121-1124.
    [19]
    伍彦斌, 黄方林. 后张法预应力筋锚固损失计算的虚拟张拉法[J]. 中外公路, 2020, 40(2): 82-87. https://www.cnki.com.cn/Article/CJFDTOTAL-GWGL202002018.htm

    WU Yan-bin, HUANG Fang-lin. Virtual tensioning method for calculating anchorage loss of post-tensioning prestress tendon[J]. Journal of China and Foreign Highway, 2020, 40(2): 82-87. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GWGL202002018.htm
    [20]
    张元海, 郭臣东, 张玉元. 后张法预应力混凝土梁曲线钢束锚固损失的精确分析[J]. 中国公路学报, 2018, 31(1): 67-73, 90. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201801009.htm

    ZHANG Yuan-hai, GUO Chen-dong, ZHANG Yu-yuan. Exact analysis on anchorage loss of curved tendon in post-tensioned prestressed concrete beams[J]. China Journal of Highway and Transport, 2018, 31(1): 67-73, 90. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201801009.htm
    [21]
    张元海, 张睿, 王晨光, 等. 后张预应力混凝土梁钢束锚固损失研究[J]. 中南大学学报(自然科学版), 2018, 49(2): 478-484. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201802029.htm

    ZHANG Yuan-hai, ZHANG Rui, WANG Chen-guang, et al. Research on anchorage loss of tendon in post-tensioned prestressed concrete beams[J]. Journal of Central South University (Science and Technology), 2018, 49(2): 478-484. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201802029.htm
    [22]
    张元海, 张鹏飞, 杨霞林, 等. 现行铁路桥规中预应力钢筋锚固损失计算方法的改进[J]. 铁道学报, 2018, 40(4): 106-112. https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201804015.htm

    ZHANG Yuan-hai, ZHANG Peng-fei, YANG Xia-lin, et al. Improvement on computing method for anchorage loss of prestressed tendon in current railway bridge code[J]. Journal of the China Railway Society, 2018, 40(4): 106-112. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201804015.htm
    [23]
    张善稳, 王修信. 空间曲线预应力筋张拉阶段应力损失计算方法[J]. 长安大学学报(自然科学版), 2016, 36(5): 45-51. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL201605007.htm

    ZHANG Shan-wen, WANG Xiu-xin. Calculation method of stress loss in tensioning stage for prestressing tendons of space curve[J]. Journal of Chang'an University (Natural Science Edition), 2016, 36(5): 45-51. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL201605007.htm
    [24]
    张善稳, 王修信. 非对称布置预应力筋理论不动点计算方法[J]. 建筑技术, 2016, 47(4): 324-327. https://www.cnki.com.cn/Article/CJFDTOTAL-JZJI201604010.htm

    ZHANG Shan-wen, WANG Xiu-xin. Calculation method of fixed point in theory under asymmetric arrangement of prestressing tendons[J]. Architecture Technology, 2016, 47(4): 324-327. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JZJI201604010.htm
    [25]
    KIM S H, PARK S Y, PARK Y, et al. Friction characteristics of post-tensioning tendons in full-scale structures[J]. Engineering Structures, 2019, 183: 389-397.
    [26]
    余剑搏. 后张梁曲线预应力钢束预应力损失研究[D]. 兰州: 兰州交通大学, 2018.

    YU Jian-bo. Study on prestress loss of curved prestressing tendon in post-tensioned beam[D]. Lanzhou: Lanzhou Jiaotong University, 2018. (in Chinese)
    [27]
    YUAN Hao-yu, LI Yuan, ZHOU Bin, et al. Friction characteristics of post-tensioned tendons of full-scale structures based on site tests[J]. Advances in Civil Engineering, 2020, 2020: 5916738.
    [28]
    LI Han, LI Jun, XIN Yu, et al. Prestress force monitoring and quantification of precast segmental beams through neutral axis location identification[J]. Applied Sciences, 2022, 12(5): 2756.
    [29]
    SHEN Sheng, WANG Yao, MA Sheng-lan, et al. Evaluation of prestress loss distribution during pre-tensioning and post-tensioning using long-gauge fiber Bragg grating sensors[J]. Sensors, 2018, 18(12): 4106.
    [30]
    DOLATABAD Y A, MAGHSUDI A A. Monitoring and theoretical losses of post-tensioned indeterminate I-beams[J]. Magazine of Concrete Research, 2014, 66(22): 1129-1144.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1038) PDF downloads(69) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return