Volume 24 Issue 6
Dec.  2024
Turn off MathJax
Article Contents
LIN Shang-shun, JI Bang-chong, LIU Jun-ping, LIN Jian-fan, ZHAO Jin-bing. Calculation method of instantaneous stiffness of steel reinforced ultra-high performance concrete beams with rectangular section[J]. Journal of Traffic and Transportation Engineering, 2024, 24(6): 92-105. doi: 10.19818/j.cnki.1671-1637.2024.06.006
Citation: LIN Shang-shun, JI Bang-chong, LIU Jun-ping, LIN Jian-fan, ZHAO Jin-bing. Calculation method of instantaneous stiffness of steel reinforced ultra-high performance concrete beams with rectangular section[J]. Journal of Traffic and Transportation Engineering, 2024, 24(6): 92-105. doi: 10.19818/j.cnki.1671-1637.2024.06.006

Calculation method of instantaneous stiffness of steel reinforced ultra-high performance concrete beams with rectangular section

doi: 10.19818/j.cnki.1671-1637.2024.06.006
Funds:

National Natural Science Foundation of China 52078136

Traffic Science and Technology Project of Fujian Province 202024

More Information
  • Author Bio:

    LIN Shang-shun(1972-), male, professor, PhD, linshangshun@fjut.edu.cn

  • Corresponding author: JI Bang-chong(1995-), male, doctoral student, Jibangchong@163.com
  • Received Date: 2024-07-18
  • Publish Date: 2024-12-25
  • To study the instantaneous stiffness and calculation method of steel reinforced ultra-high performance concrete (SRUHPC) beams with rectangular section, five SRUHPC beam specimens and one reinforced ultra-high performance concrete (reinforced UHPC) beam specimen were fabricated. The reinforcement rates of the specimens ranged from 0.8% to 1.1%. The built-in structural steel was in the shapes of I-beam, inverted T-beam, and H-beam, with steel content ranging from 8.7% to 15.6%. The flexural test was carried out. The deformation patterns of SRUHPC beam specimens with rectangular section and reinforced UHPC beam specimen, and the effect of the change of design parameters on the stiffness of SRUHPC beam specimens, were analyzed. Based on the test result and the stiffness analysis method, the simplified calculation method for the instantaneous stiffness of SRUHPC beams with rectangular section was proposed. Under service loads, the maximum deflections of 13 SRUHPC beam specimens, including 8 specimens from literature, were calculated, and the calculated results were compared with the test values. Analysis results show that, under the same load, compared with the reinforced UHPC beam specimen, the deflections of SRUHPC beam specimens with rectangular section reduce by 16%-72%. The stiffnesses of SRUHPC beam specimens with rectangular section decrease by up to 7% due to section cracking, which is not obvious. Similar to the longitudinal tensile reinforcement, the tensile side portion of structural steel can also resist some tensile force when the SRUHPC beam specimens with rectangular section are loaded, thus inhibiting crack development in the beams and reducing the loss of stiffness due to cross-section cracking. The proposed method for the instantaneous stiffness yields an average ratio of 1.041 for deflection calculation values to test values, and the ratio variance is 0.017. Therefore, these calculated values are in good agreement with the test values, and the proposed method has higher accuracy than the existing calculation methods in literature.

     

  • loading
  • [1]
    IKEDA M. Transition and future prospects of research and development of railway steel-concrete hybrid structures[J]. Journal of Japan Society of Civil Engineers, Ser A1 (Structural Engineering and Earthquake Engineering), 2022, 78(5): 1-18.
    [2]
    IKEDA M. The trend of new technologies on SRC and CFT members in railway structures[J]. Concrete Journal, 2014, 52(1): 102-107. doi: 10.3151/coj.52.102
    [3]
    HONG W K, PARK S C, LEE H C, et al. Composite beam composed of steel and precast concrete (modularized hybrid system). Part Ⅲ: application for a 19-storey building[J]. The Structural Design of Tall and Special Buildings, 2010, 19(6): 679-706. doi: 10.1002/tal.507
    [4]
    HONG W K, KIM J M, PARK S C, et al. Composite beam composed of steel and pre-cast concrete. (modularized hybrid system, MHS) Part Ⅱ: analytical investigation[J]. The Structural Design of Tall and Special Buildings, 2009, 18(8): 891-905. doi: 10.1002/tal.484
    [5]
    TONG Le-wei, LIU Bo, XIAN Qing-jun, et al. Experimental study on fatigue behavior of steel reinforced concrete (SRC) beams[J]. Engineering Structures, 2016, 123: 247-262. doi: 10.1016/j.engstruct.2016.05.052
    [6]
    WANG Zhao-xia. Study on cracks and deformation of steel reinforced concrete beams[D]. Xi'an: Xi'an University of Architecture and Technology, 2006. (in Chinese)
    [7]
    ZHAO Shi-chun, SHI Jian-ping. Computation of flexural rigidity of steel reinforced concrete beam[J]. Journal of Southwest Jiaotong University, 2004, 39(6): 730-733. (in Chinese) doi: 10.3969/j.issn.0258-2724.2004.06.007
    [8]
    HUANG Wan-kun, WU Qing-xiong, WANG Qu. Mechanical property of improved hinge joint junction surface in prefabricated voided slab bridge[J]. Journal of Traffic and Transportation Engineering, 2022, 22(6): 169-181. (in Chinese) doi: 10.19818/j.cnki.1671-1637.2022.06.011
    [9]
    CHEN Bao-chun, LI Cong, HUANG Wei, et al. Review of ultra-high performance concrete shrinkage[J]. Journal of Traffic and Transportation Engineering, 2018, 18(1): 13-28. (in Chinese) doi: 10.3969/j.issn.1671-1637.2018.01.002
    [10]
    FAN Z T, HUANG W, NEGOITA A. Repairing steel girder end corrosion using ultra-high performance concrete[J]. Journal of Bridge Engineering, 2022, 27(1): 05021015. doi: 10.1061/(ASCE)BE.1943-5592.0001809
    [11]
    LI Cong, CHEN Bao-chun, WEI Jian-gang. Shrinkage and mechanical properties of UHPC with coarse aggregate[J]. Journal of Traffic and Transportation Engineering, 2019, 19(5): 11-20. (in Chinese) doi: 10.3969/j.issn.1671-1637.2019.05.003
    [12]
    MCMULLEN K F, ZAGHI A E. An accelerated repair method for steel girders with severe end corrosion damage[J]. Engineering Structures, 2022, 251: 113493. doi: 10.1016/j.engstruct.2021.113493
    [13]
    CHEN Bao-chun, JI Tao, HUANG Qin-wei, et al. Review of research on ultra-high performance concrete[J]. Journal of Architecture and Civil Engineering, 2014, 31(3): 1-24. (in Chinese) doi: 10.3969/j.issn.1673-2049.2014.03.002
    [14]
    WILLE K, NAAMAN A E, PARRA-MONTESINOS G J. Ultra-high performance concrete with compressive strength exceeding 150 MPa (22 ksi): a simpler way[J]. ACI Materials Journal, 2011, 108(1): 46-54. http://dialnet.unirioja.es/servlet/articulo?codigo=3416988
    [15]
    CWIRZEN A, PENTTALA V, VORNANEN C. Reactive powder based concretes: mechanical properties, durability and hybrid use with OPC[J]. Cement and Concrete Research, 2008, 38(10): 1217-1226. doi: 10.1016/j.cemconres.2008.03.013
    [16]
    XIA Zhang-hua, JI Bang-chong, YANG yang, et al. Flexural performance of prestressed RC-UHPC composite box girder[J/OL]. Journal of Civil and Environmental Engineering, 2023, http://kns.cnki.net/kcms/detail/50.1218.TU.20230911.1055.004.html. (in Chinese)
    [17]
    LIN Shang-shun, JI Bang-chong, LIU Jun-ping, et al. Flexural capacity of steel reinforced ultra-high performance concrete beams with rectangular section[J]. Journal of Traffic and Transportation Engineering, 2024, 24(3): 94-109. (in Chinese) doi: 10.19818/j.cnki.1671-1637.2024.03.006
    [18]
    ZHAI Jian-kai. Test and analysis of flexural bearing capacity of normal section of steel reactive powder concrete beam[D]. Yangzhou: Yangzhou University, 2020. (in Chinese)
    [19]
    BU Liang-tao, LIU Ding. Experimental study on prestressed steel reinforced high-strength wrapped by reactive power concrete beams[J]. Journal of Railway Science and Engineering, 2018, 15(2): 389-397. (in Chinese) doi: 10.3969/j.issn.1672-7029.2018.02.016
    [20]
    TANG Chang-jiu. Experimental research on the flexural performance of ultra-high performance concrete beam[D]. Changsha: Hunan University, 2020. (in Chinese)
    [21]
    BU Liang-tao, LUO Kai-yan. Interface bonding performance between shape steel and reactive power concrete (RPC) in steel reinforced RPC structures[J]. Science Technology and Engineering, 2018, 18(3): 307-312. (in Chinese) doi: 10.3969/j.issn.1671-1815.2018.03.050
    [22]
    ZHANG Bing-jie. Experimental study on bond-slip behavior of steel reinforced reactive powder concrete[D]. Jinan: Shandong Jianzhu University, 2022.
    [23]
    ZHONG Zhen-peng. Experimental study on bond slip behavior of shaped steel reactive powder concrete[D]. Yangzhou: Yangzhou University, 2021.
    [24]
    YE Jia-fang. Study on calculation method of rigidity and crackwidth of steel section RPC simply supported beam[D]. Yangzhou: Yangzhou University, 2021. (in Chinese)
    [25]
    XU Ming-xue, LIANG Xing-wen, YU Jing, et al. Theoretical and experimental investigation on immediate stiffness of UHPC beams[J]. Engineering Mechanics, 2019, 36(1): 146-154, 164. (in Chinese)
    [26]
    LI Li. Mechanical behavior and design method for reactive powder concrete beams[D]. Harbin: Harbin Institute of Technology, 2010. (in Chinese)
    [27]
    WU Chen, CHEN Ke-dan, LIN Shang-shun, et al. Experimental study on mechanical properties of ultra-high performance concrete under normal temperature curing[J]. Industrial Construction, 2021, 51(1): 140-145. (in Chinese)
    [28]
    YE Lie-ping, FANG E-hua. State-of-the-art of study on the behaviors of steel reinforced concrete structure[J]. China Civil Engineering Journal, 2000, 33(5): 1-12. (in Chinese) doi: 10.3321/j.issn:1000-131X.2000.05.001
    [29]
    LI Zhi-wu, XU Jin-yu, ZHANG Guo-xi, et al. The theoretical deduction of the critical fiber volume quantity using the mechanism of fiber reinforced concrete[C]//Civil Engineering Institute of China. Seminar on Concrete Technology in Three Places Across the Taiwanstraits. Nanjing: Southeast University Press, 2010: 522-528. (in Chinese)
    [30]
    ALI H M, ALAMIR J S A, HAMAD N T. First diagonal cracking and ultimate shear of reactive powder concrete T-beams without stirrups[J]. Journal of Engineering and Development, 2014, 18(5): 149-164. http://www.iasj.net/iasj?func=article&aId=92987

Catalog

    Article Metrics

    Article views (1612) PDF downloads(125) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return