Calculation method of instantaneous stiffness of steel reinforced ultra-high performance concrete beams with rectangular section
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摘要: 为研究矩形截面型钢超高性能混凝土(简称SRUHPC)梁的短期刚度及其计算方法，制作了5根矩形截面SRUHPC梁试件与1根钢筋超高性能混凝土(简称钢筋UHPC)梁试件，试件的配筋率范围为0.8%~1.1%，内置的型钢形状分别为一字型、倒T型、H型，含钢率范围为8.7%~15.6%；开展抗弯试验，分析了矩形截面SRUHPC梁试件与钢筋UHPC梁试件的变形规律，以及设计参数变化对矩形截面SRUHPC梁试件刚度的影响；根据试验结果，基于刚度解析法，提出矩形截面SRUHPC梁短期刚度简化计算方法，计算了13根矩形截面SRUHPC梁试件(含8根文献试件)在正常使用荷载下的最大挠度，并比较了计算结果与试验值。分析结果表明：与钢筋UHPC梁试件相比，在相同荷载作用下，矩形截面SRUHPC梁试件的挠度降低16%~72%，且其刚度不会因截面开裂而明显下降，减小7%以内；与纵向受拉钢筋较为相似，受拉侧型钢可在矩形截面SRUHPC梁试件承载时承担一定的拉力，从而抑制梁的裂缝开展，并减小因截面开裂而损失的刚度；采用提出的短期刚度计算方法得到的挠度公式计算值与试验值吻合较好，比值均值为1.041，比值方差为0.017，且计算精度高于现有文献的计算方法。
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关键词:
- 桥梁工程 /
- 型钢超高性能混凝土梁 /
- 短期刚度计算方法 /
- 刚度解析法 /
- 变形
Abstract: 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. -
图 8 跨中沿高度方向的型钢应变分布
Figure 8. Mid-span strain distributions of structural steels in vertical direction
图 9 跨中沿高度方向的UHPC应变分布
Figure 9. Mid-span strain distributions of UHPC in vertical direction
图 13 不同计算方法的计算值与试验值比较
Figure 13. Comparison of calculated values by different calculation methods and experimental values
图 15 使用荷载下正截面应力与应变分布
Figure 15. Stress and strain distributions of normal section under service load
图 16 kss回归方程计算值与试验数据计算值对比
Figure 16. Comparison of kss values calculated by regression equation and test data
图 18 本文方法计算值与试验值比较
Figure 18. Comparison of calculated values by this paper method and tested values
表 1 挠度与荷载比较
Table 1. Comparison of deflections and loads
荷载/kN RU SU SU-P SU-T SU-LF SU-DF P250 350.0 316.3 371.7 383.3 465.8 P300 152.8 326.7 302.9 350.8 331.7 439.3 P600 106.7 186.7 188.3 211.1 182.2 292.4 
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表 2 试件参数
Table 2. Specimen parameters
试件编号 截面尺寸/mm 计算跨径/mm 型钢尺寸/mm 型钢位置 含钢率/% 受拉纵筋 Es/GPa Ea/GPa Ec/GPa L1 150×250 1 600 150×75×6×8 居中 4.7 2Φ14 200 200 39 L2 2Φ16 L3 2Φ18 L4 下偏20 mm 2Φ14 L5 150×60×6×6 居中 4.1 L6 150×75×6×8 5.3 L7 150×60×6×8 下偏20 mm 4.7 L8 150×75×6×8 居中 5.3
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[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] 王朝霞. 型钢混凝土梁裂缝和变形的研究[D]. 西安: 西安建筑科技大学, 2006.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] 赵世春, 施建平. 型钢混凝土梁受弯刚度计算[J]. 西南交通大学学报, 2004, 39(6): 730-733. doi: 10.3969/j.issn.0258-2724.2004.06.007ZHAO 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] 黄宛昆, 吴庆雄, 王渠. 装配式空心板桥改进型铰缝结合面受力性能[J]. 交通运输工程学报, 2022, 22(6): 169-181. doi: 10.19818/j.cnki.1671-1637.2022.06.011 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] 陈宝春, 李聪, 黄伟, 等. 超高性能混凝土收缩综述[J]. 交通运输工程学报, 2018, 18(1): 13-28. doi: 10.3969/j.issn.1671-1637.2018.01.002CHEN 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] 李聪, 陈宝春, 韦建刚. 粗集料UHPC收缩与力学性能[J]. 交通运输工程学报, 2019, 19(5): 11-20. doi: 10.3969/j.issn.1671-1637.2019.05.003LI 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] 陈宝春, 季韬, 黄卿维, 等. 超高性能混凝土研究综述[J]. 建筑科学与工程学报, 2014, 31(3): 1-24. doi: 10.3969/j.issn.1673-2049.2014.03.002CHEN 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] 夏樟华, 暨邦冲, 杨阳, 等. 预应力RC-UHPC组合箱梁的受弯性能[J/OL]. 土木与环境工程学报(中英文), 2023, http://kns.cnki.net/kcms/detail/50.1218.TU.20230911.1055.004.html .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] 林上顺, 暨邦冲, 刘君平, 等. 矩形截面型钢超高性能混凝土梁抗弯承载力[J]. 交通运输工程学报, 2024, 24(3): 94-109. doi: 10.19818/j.cnki.1671-1637.2024.03.006LIN 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] 翟建恺. 型钢活性粉末混凝土梁正截面受弯承载力试验与分析[D]. 扬州: 扬州大学, 2020.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] 卜良桃, 刘鼎. 通过外包活性粉末混凝土型钢梁抗弯性能试验研究[J]. 铁道科学与工程学报, 2018, 15(2): 389-397. doi: 10.3969/j.issn.1672-7029.2018.02.016BU 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] 唐长久. 超高性能混凝土型钢梁受弯性能试验研究[D]. 长沙: 湖南大学, 2020.TANG Chang-jiu. Experimental research on the flexural performance of ultra-high performance concrete beam[D]. Changsha: Hunan University, 2020. (in Chinese) [21] 卜良桃, 罗恺彦. 型钢外包活性粉末混凝土(RPC)的界面黏结性能[J]. 科学技术与工程, 2018, 18(3): 307-312. doi: 10.3969/j.issn.1671-1815.2018.03.050BU 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] 张冰杰. 型钢与外包钢纤维活性粉末混凝土的界面粘结性能试验研究[D]. 济南: 山东建筑大学, 2022.ZHANG Bing-jie. Experimental study on bond-slip behavior of steel reinforced reactive powder concrete[D]. Jinan: Shandong Jianzhu University, 2022. [23] 仲振鹏. 型钢活性粉末混凝土粘结滑移性能试验研究[D]. 扬州: 扬州大学, 2021.ZHONG Zhen-peng. Experimental study on bond slip behavior of shaped steel reactive powder concrete[D]. Yangzhou: Yangzhou University, 2021. [24] 叶佳方. 型钢RPC简支梁刚度及裂缝宽度计算方法研究[D]. 扬州: 扬州大学, 2021.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] 徐明雪, 梁兴文, 于婧, 等. UHPC梁短期刚度理论与试验研究[J]. 工程力学, 2019, 36(1): 146-154, 164.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] 李莉. 活性粉末混凝土梁受力性能及设计方法研究[D]. 哈尔滨: 哈尔滨工业大学, 2010.LI Li. Mechanical behavior and design method for reactive powder concrete beams[D]. Harbin: Harbin Institute of Technology, 2010. (in Chinese) [27] 吴琛, 陈柯丹, 林上顺, 等. 免蒸养超高性能混凝土力学性能的试验[J]. 工业建筑, 2021, 51(1): 140-145.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] 叶列平, 方鄂华. 钢骨混凝土构件的受力性能研究综述[J]. 土木工程学报, 2000, 33(5): 1-12. doi: 10.3321/j.issn:1000-131X.2000.05.001YE 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] 李志武, 许金余, 张国喜, 等. 利用纤维增强机理对纤维临界体积率的理论推导[C]//中国土木工程学会. 第十三届纤维混凝土学术会议暨第二届海峡两岸三地混凝土技术研讨会. 南京: 东南大学出版社, 2010: 522-528.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 -
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