Journal of Shandong University(Engineering Science) ›› 2021, Vol. 51 ›› Issue (1): 53-59.doi: 10.6040/j.issn.1672-3961.0.2020.403

Previous Articles    

Experimental study on stiffness of reinforced concrete pre-cracked beams based on crack parameters

ZHOU Shuming1,2, YAN Donghuang1*   

  1. 1. College of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410114, Hunan, China;
    2. Hunan City University, Yiyang 413000, Hunan, China
  • Published:2021-03-01

Abstract: To research the stiffness characteristics of simply-supported reinforced concrete bridges after cracking in the mid-span, mechanical tests of pre-cracked in the mid-span beams with different nominal damage ratios were carried out. The specimens were cast-in-situ reinforced concrete pre-cracking beams. In the specimens, three different lengths(a=8、18 and 26 mm)of cracks in the mid-span were considered respectively. The evolutions of stiffness reduction coefficient k with nominal damage ratio λ and crack opening w under load of the 8 m standard span reinforced concrete pre-cracked beams were studied through experiments. It was showed that under different test conditions, k decreased with the increase of λ and w. The pre-cracked specimensk decreased little when the crack length was less than the thickness of the protective layer of reinforcement, decreased rapidly when the crack length was near the height of reinforcement. However, the decreased speed appears to fall back when the crack length was higher than the height of the reinforcement. On this basis, a formula for calculating the stiffness reduction coefficient of simply-supported reinforced concrete bridges after cracking in the mid-span was proposed. The effort of this paper could provide a basic for the accurately predicting and evaluating the stiffness characteristics of simply-supported reinforced concrete bridges after cracking.

Key words: bridge engineering, reinforced concrete beam, the stiffness reduction coefficient, experimental study, crack parameter

CLC Number: 

  • U446.3
[1] 李国豪. 桥梁结构稳定与振动[M]. 北京: 中国铁道出版社, 2003.
[2] LEE H P, NG T Y. Natural frequencies and modes for the flexural vibration of a cracked beam[J]. Applied Acoustics, 1994, 42(2): 151-163.
[3] KAKLAUSKAS G, GHABOUSSI J. Stress-strain relations for cracked tensile concrete from RC beam tests[J]. Journal of Structural Engineering, 2001, 127(1): 64-73.
[4] ISMAIL Z, KUAN K K, YEE K S, et al. Examining the trend in loss of flexural stiffness of simply supported RC beams with various crack severity using model updating[J]. Measurement, 2014, 50: 43-49.
[5] BENAKLI S, BOUAFIA Y, OUDJENE M, et al. A simplified and fast computational finite element model for the nonlinear load-displacement behavior of reinforced concrete structures[J]. Composite Structures, 2018, 194(15): 468-477.
[6] 周凌, 程华, 张鹏梁. 带裂缝钢筋混凝土梁振动特性变刚度模型分析[J]. 后勤工程学院学报, 2009, 25(2):5-8. ZHOU Ling, CHENG Hua, ZHANG Pengliang. Vibration characteristics analysis of RC beam with cracks based on variable rigidity model[J]. Journal of Logistical Engineering University, 2009, 25(2):5-8.
[7] 朱立烽. 裂后钢筋混凝土与预应力混凝土梁的刚度预测与评估[D]. 成都:西南交通大学, 2018. ZHU Lifeng. Prediction and assessment of the instantaneous stiffness for cracked reinforced and prestressed concrete beams[D]. Chengdu: Southwest Jiaotong University, 2018.
[8] 谭冬莲, 王浩, 王显张. 基于裂缝特征参数的在役混凝土梁桥抗弯刚度评估[J]. 上海应用技术学院学报(自然科学版), 2016, 16(4): 334-337. TAN Donglian, WANG Hao, WANG Xianzhang. Existing bridge beam flexural rigidity assessment based on crack characteristics[J]. Journal of Shanghai Institute of Technology(Natural Science), 2016, 16(4): 334-337.
[9] 李颖. 钢筋混凝土受弯构件裂纹发展规律研究[D]. 重庆: 重庆交通大学, 2009. LI Ying. Study on law of crack development of reinforced concrete flexural member[D]. Chongqing: Chongqing Jiaotong University, 2009.
[10] 叶见曙,张峰. 预应力混凝土连续箱梁开裂后的刚度退化模型[J]. 中国公路学报, 2007, 20(6): 67-72. YE Jianshu, ZHANG Feng. Stiffness degeneration model of prestressed concrete continuous box girder after cracking[J]. China Journal of Highway and Transport, 2007, 20(6): 67-72.
[11] 中华人民共和国住房与城乡建设部: 混凝土结构设计规范GB50010—2010[S].北京:中国建筑工业出版社, 2010.
[12] American Concrete Institute: Building Code Requirements for Structural Concrete and Commentary, ACI 318-11[S]. Farmington Hills Mich, USA:ACI, 2014.
[13] CHENG L, LI N, CHEN X F, et al. The influence of crack breathing and imbalance orientation angle on the characteristics of the critical speed of a cracked rotor[J]. Journal of Sound and Vibration, 2011, 330(9): 2031-2048.
[14] 陈兴达, 朱劲松. 开裂钢筋混凝土梁的车致振动研究[J]. 太原理工大学学报, 2019, 50(3):19-25. CHEN Xingda, ZHU Jinsong. Study on vehicle-induced vibration of cracked reinforced concrete beams[J]. Journal of Taiyuan University of Technology, 2019, 50(3):19-25.
[15] SLUYS L J, BORST R D. Failure in plain and reinforced concrete-an analysis of crack width and crack spacing[J]. International Journal of Solids and Structures, 1996, 33(20/22): 3257-3276.
[16] BARRIS C, TORRES L, VILANOVA I, et al. Experimental study on crack width and crack spacing for Glass-FRP reinforced concrete beams[J]. Engineering Structures, 2017, 131(15): 231-242.
[17] MALECKII T, MARZEC I, BOBINSKI J, et al. Effect of a characteristic length on crack spacing in a reinforced concrete bar under tension[J]. Mechanics Research Communications, 2007, 34(5/6): 460-465.
[18] TADA H, PARIS P C, IRWIN G R. The stress analysis of cracks handbook[M]. Del Research Corporation, Hellertown, 1973.
[19] GUDMUNDSON P. Eigenfrequency changes of structures due to cracks, notches or other geometrical changes[J]. Journal of the Mechanics and Physics of Solids, 1982, 30(30): 339-353.
[20] 中华人民共和国交通运输部: 公路桥梁承载能力检测评定规程JTGT J21—2011[S]. 北京:人民交通出版社, 2011.
[21] CARLONI C, SANTANDREA M, BAIETTI G. Influence of the width of the specimen on the fracture response of concrete notched beams[J]. Engineering Fracture Mechanics, 2019, 216: 106465.
[22] 何世钦, 赵仁豪, 商峰. 不同加载速率下混凝土剪力传递性能试验研究[J]. 混凝土, 2019, 356(6): 27-30. HE Shiqin, ZHAO Renhao, SHANG Feng. Experimental research of different loading rates on shear transfer behavior in concrete[J]. Concrete, 2019, 356(6): 27-30.
[23] SELLIER A, MILLARD A. A homogenized formulation to account for sliding of non-meshed reinforcements during the cracking of brittle matrix composites: Application to reinforced concrete[J]. Engineering Fracture Mechanics, 2019, 213: 182-196.
[1] QIN Zipeng, TIAN Yan, LI Gang, MA Yuwei, LIU Le, ZHANG Jinjian. The influence of BFRP layers on the bending properties of the reinforced concrete beams [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(1): 76-83.
[2] PENG Yuancheng, DONG Xu, LIANG Na, DENG Zhenquan. Model test of the Beipan River's new open-web continuous rigid frame bridge corner node [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(6): 113-119.
[3] ZHANG Tao, HAN Jitian, YAN Suying, YU Zeting, ZHOU Ran. The analysis and testing of thermal performance on solar evacuated tube [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2014, 44(4): 76-83.
[4] CHEN Yu, GAO Ying-li. Experimental study and application of desulfurization gypsum-fly ash concrete for highway pavement [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(6): 72-75.
[5] WANG Lipeng1, GONG Sifeng2. Study of electrochemical corrosion and bearing capacity of corroded reinforced concrete beams [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 113-117.
[6] WANG En-dong, . Strength characteristic analysis of box girder bridge pavement [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(2): 71-76 .
[7] LIN Yan,FEN Yong, . Design and research of cast steel hollow spherical joint with tube [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(5): 77-81 .
Full text



No Suggested Reading articles found!