Tests for failure mode of RC notched beam under impact load
SONG Min1, WANG Zhiyong1, ZHANG Jie1, GAO Shiwu2, WANG Zhihua1
1. Institute of Applied Mechanics, College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China;
2. College of Civil Engineering, Qinghai University, Xining 810016, China
Abstract：During the service period of reinforced concrete beam, the micro cracks and defects in the beam derive and extend gradually, which result in the cracking in concrete. Under impact loads, compared with the RC beams without cracks, the bearing capacity and energy dissipation of notched RC beams present significant difference. In order to investigate the impact resistance of notched reinforced concrete beams, the dynamic three point bending tests for notched beams with different reinforcement ratio were conducted with a falling-weight impact machine. Reinforcement ratio and impact velocity were taken as variables. The impact force between hammer head and specimen, reaction force from supports and mid-span deflection were measured and analyzed. And then the influence of impact velocities on failure pattern, bearing capacity and absorbed energy were discussed. The experiment results presented that, with the increase of reinforcement ratio and impact velocities, the failure pattern of notched reinforced concrete beams changed from bending failure to bending-shear failure. Furthermore, the ratio of maximum reaction force to static bending capacity increased linearly with the increase of impact velocities when the bending failure occurred, and the same linear relationship between maximum reaction force and static shear capacity for bending-shear failure pattern reinforced beam was also obtained. The shape of the hysteretic loop between reaction force and mid-span deflection could be assumed to be parallelogram, and then an empirical formula of static bending capacity about impact energy, residual deflection and impact velocities were established. Similarly, an empirical formula of static shear capacity about impact energy, impact velocities and maximum mid-span deflection was also presented. Based on the formulas, the impact resistance of notched reinforced concrete beams was evaluated reasonably.
Key words: notched RC beams, impact velocities, reinforcement ratio, failure pattern, bearing capacity, energy dissipation
收稿日期: 2021-04-06
出版日期: 2022-07-15
引用本文:
宋敏1,王志勇1,张杰1,高士武2,王志华1. 冲击荷载下钢筋混凝土缺口梁破坏模式的试验研究[J]. 振动与冲击, 2022, 41(13): 126-134.
SONG Min1, WANG Zhiyong1, ZHANG Jie1, GAO Shiwu2, WANG Zhihua1. Tests for failure mode of RC notched beam under impact load. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(13): 126-134.
[1] 杨澄宇, 蔡雪松, 袁勇. 地铁车站钢筋混凝土中柱试件抗震混合试验研究. 振动与冲击, 2020, 39(15):126-141.
YANG Chengyu, CAI Xuesong, YUAN Yong. Hybrid simulation for aseismic performance of subway station with its RC central column as test specimen[J]. Journal of Vibration and Shock, 2020,39(15):126-141.
[2] 林丽, 陆新征, 韩鹏飞, 岑松, 刘晶波.大型商用飞机撞击刚性墙及核电屏蔽厂房的撞击力分析[J]. 振动与冲击, 2015, 34(9):158-163.
LIN Li, LU Xinzheng, HAN Pengfei, CEN Song, LIU Jingbo. Analysis of impact force of large commercial aircraft on rigid wall and nuclear power plant containment[J]. Journal of Vibration and Shock, 2015, 34(9):158-163.
[3] 朱翔, 陆新征, 杜永峰, 王强. 列车脱轨后运行姿态模拟[J].振动与冲击,2014,33(23):126-130.
ZHU Xiang, LU Xinzheng, DU Yongfeng, WANG Qiang. Simulation for running attitude of a train after derailment[J]. Journal of Vibration and Shock, 2014, 33(23):126-130.
[4] 何水涛, 陆新征, 卢啸, 曹海韵. 超高车辆撞击钢桥上部结构模型试验研究[J].振动与冲击,2012,31(5):31-3.
HE Shuitao, LU Xinzheng, LU Xiao, CAO Haibao. Tests for collision between over-high trucks and steel bridge superstructures[J]. Journal of Vibration and Shock, 2012, 31(5):31-3.
[5] Yang J X, Huang K. The failure process analysis of reinforced concrete beams with different steel reinforcement ratio[J]. Applied Mechanics and Materials, 2013, 351-352:960-963.
[6] 许斌, 曾翔. 冲击荷载作用下钢筋混凝土梁性能试验研究[J]. 土木工程学报, 2014, 047(002):41-51,61.
XU Bin, ZENG Xiang. Experimental study on the behaviors of reinforced concrete beams under impact loadings[J]. China Civil Engineering Journal, 2014, 047(002):41-51,61.
[7] ADHIKARY S D, Li B, FUJIKAKE K. Dynamic behavior of reinforced concrete beams under varying rates of concentrated loading[J]. International of Journal Impact Engineering, 2012, 47:24-38
[8] FU Yingqian, YU Xinlu, DONG Xinlong, et al. Investigating the failure behaviors of RC beams without stirrups under impact loading[J]. International of Journal Impact Engineering, 2020, 137(Mar.): 103432.1-103432.11.
[9] BENTUR A, MINDESS S, BANTHIA N. The behaviour of concrete under impact loading: experimental procedures and method of analysis[J]. Materials and Structure, 1986, 19(5): 371-378
[10] 赵德博, 易伟建. 钢筋混凝土梁抗冲击性能和设计方法研究[J]. 振动与冲击, 2015: 34(11):139-145.
ZHAO Debo, YI Jianwei. Anti-impact behavior and design method for RC beams[J], Journal of Vibration and Shock, 2015: 34(11):139-145.
[11] KISHI N, MIKAMI H, MATSUOKA K. G. Impact behavior of shear-failure-type RC beams without shear rebar[J]. International of Journal Impact Engineering, 2002, 27(9):955-968.
[12] KISHI N, NAKANO O, MATSUOKA K G, et al. Experimental study on ultimate strength of flexural-failure-type RC beams under impact loading[J]. Transactions of 16th International Conference on Structural Mechanics in Reactor Techonology．Washington DC, 2001.
[13] 朱翔, 陆新征, 杜永峰,等. 外包钢管加固RC柱抗冲击试验研究[J]. 工程力学, 2016,33(6):23-33.
ZHU Xiang, LU Xinzheng, DU Yongfeng. Experimental study on impact resistance of reinforced concrete columns strengthened with steel jackets[J]. Engineering Mechanics, 2016,33(6):23-33.
[14] Ozbolt J , Sharma A . Numerical simulation of reinforced concrete beams with different shear reinforcements under dynamic impact loads[J]. International Journal of Impact Engineering, 2011, 38(12):940-950.
[15] Al-Thairy H, Wang Y C . A simplified analytical method for predicting the critical velocity of transverse rigid body impact on steel columns[J]. International Journal of Impact Engineering,2013,58(aug.):39-54.
[16] BARULICH N D, GODOY L A, DARDATI P M. Inter-relationships among stiffness matrix components for general laminates with transverse cracks in oblique plies[J]. Arch Applied Mechanical, 2019, 89(2):329-341.
[17] MARI A, TORRES L, OLLER E, et al. Performance-based slenderness limits for deformations and crack control of reinforced concrete flexural members[J]. Engineering Structure, 2019, 187(MAY 15):267-279.
[18] PHAM T M, HAO H. Influence of global stiffness and equivalent model on prediction of impact response of RC beams[J]. International of Journal Impact Engineering, 2018, 113(MAR.):88-97.
[19] TACHIBANA S, MASUYA H, NAKAMURA S. Performance based design of reinforced concrete beams under impact[J]. Natural Hazards and Earth System Sciences, 2010, 10(6).
[20] KISHI N, MIKAMI H. Empirical formulas for designing reinforced concrete beams under impact loading[J]. ACI Structural Journal, 2012, 109( 4) :509-519.
[21] 林峰, 顾祥林, 匡昕昕, 印小晶. 高应变率下建筑钢筋的本构模型[J]. 建筑材料学报, 2008(2): 14-20.
LIN Feng, GU Xianglin, KUANG Xinxin, YIN Xiaojing. Constitutive models for reinforcing steel bars under high strain rates[J], Journal of Building Materials. 2008(2): 14-20.
[22] KISHI N, IKEDA K, MIKAMI H, et al. Dynamic behavior of RC beams under steel weight impact loading-effects of nose-shape of steel weight[J]. Proceedings of the 3rd International Conference on Concrete under Severe Conditions. Vancouver, Canada, 2001: 660-667.
[23] Wijanarko N P, Arijoeni E, Sentosa B. Study on displacement and strain of concrete cubes using digital image correlation (DIC)[J]. IOP Conference Series: Materials Science and Engineering, 2020, 801(1):012020 (7pp).
[24] Jin, Xianyu, Tong, et al. Time-varying relative displacement field on the surface of concrete cover caused by reinforcement corrosion based on DIC measurement[J]. Construction and Building Materials, 2018, 159(Jan.20):695-703.
[25] GB50010-2010混凝土结构设计规范[S]. 北京:中国建筑工业出版社, 2015.
GB 50010-2010 Code for design of concrete structures[S], Beijing, China Architecture & Building Press, 2015.
[26] 付应乾, 董新龙. 落锤冲击下钢筋混凝土梁响应及破坏的实验研究[J]. 中国科学:技术科学, 2016, 000(004): 400-406.
FU Yingqian, Dong Xinlong, An experimental study on impact response and failure behavior of reinforced concrete beam[J], SCIENTIA SINICA Technologica, 2016, 000(004): 400-406.
