Advances in Shear Strength of Reinforced Concrete Beams Against Size Effect

doi:10.3969/j.issn.1674-0696.2019.09.04

Abstract

Abstract: As shear failure mechanism is complicated and size effect theories for reinforced concrete beams are inconsistent, the shear strength of reinforced concrete beams against size effect was reviewed and both theoretical and experimental studies about shear strength of reinforced concrete beams were introduced based on size effect with and without web reinforcements after a summary of several different size effect theories. Based on the existing shear strength test data of reinforced concrete beams collected, it obtained a shear strength test database with 250 data for reinforced concrete beams against size effect. Upon the summary of previous research, the progress and prospect of shear strength of reinforced concrete members on size effect have been analyzed.

Key words: structural engineering, reinforced concrete beam, shear strength, size effect, test database, advance

摘要： 针对钢筋混凝土梁剪切破坏机理复杂、尺寸效应理论不统一等问题，对基于尺寸效应的钢筋混凝土梁剪切强度研究进行了综述。在概述尺寸效应的几种不同理论之后，并重点介绍了基于尺寸效应的无腹筋钢筋混凝土梁和有腹筋钢筋混凝土梁剪切强度基础理论研究和试验研究所取得的成果。在收集整理已有钢筋混凝土梁剪切强度试验基础上，得到包含250个试验数据的基于尺寸效应的钢筋混凝土梁剪切强度试验数据库。最后，在归纳总结基础上，对基于尺寸效应的钢筋混凝土梁剪切强度的发展进行了展望。

关键词: 结构工程, 钢筋混凝土梁, 剪切强度, 尺寸效应, 试验数据库, 进展

CLC Number:

TU375.1

LUO Lin1,2, ZHOU Yincheng2, XIANG Bo2, GONG Zheng2. Advances in Shear Strength of Reinforced Concrete Beams Against Size Effect[J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(09): 20-28.

罗林1,2，周胤呈2，向博2，龚拯2. 基于尺寸效应的钢筋混凝土梁剪切强度研究进展[J]. 重庆交通大学学报（自然科学版）, 2019, 38(09): 20-28.

References

［1］中华人民共和国住房和城乡建设部.混凝土结构设计规范：GB50010—2010［S］.北京：中国建筑工业出版社，2010.
MOHURD. Code for Design of Concrete Structures: GB50010—2010［S］. Beijing: China Architecture & Building Press, 2010.
［2］ ACI Committee 318. Building Code Requirements for Structural Concrete［S］. Michigan: Farmington Hills, 2014.
［3］ EN 1992-1-1. Design of Concrete Structures-PartⅠ: General Rules and Rules for Buildings［S］. London: Communities and Local Government Publications, 2010.
［4］ CSA Committee A23.3. Design of Concrete Structures［S］. Mississauga: Canadian Standards Association, 2014.
［5］袁健，易伟建.钢筋混凝土无腹筋梁受剪承载力计算模型误差分析［J］.建筑结构学报，2014，35(9)：72-81.
YUAN Jian, YI Weijian. Error analysis of shear capacity calculation models for reinforced concrete beams without web reinforcement［J］. Journal of Building
Structures, 2014, 35(9):72-81.
［6］袁健，陈伯望.基于试验数据的钢筋混凝土梁受剪承载力分析［J］.建筑结构，2016，46(2)：12-18.
YUAN Jian, CHEN Bowang. Shear capacity analysis for reinforced concrete beam based on test data［J］. Building Structure,2016, 46(2): 12-18.
［7］王峥，史庆轩.钢筋混凝土梁斜截面受剪承载力的对比分析［J］.工业建筑，2013，43(7)：105-109.
WANG Zheng, SHI Qingxuan. Comparative analysis of shear capacity for reinforced concrete beams［J］. Industrial Construction, 2013, 43(7):105-109.
［8］管品武，徐泽晶，王博.钢筋混凝土构件抗剪承载力分析方法比较［J］.世界地震工程，2002，18(3)：95-101.
GUAN Pinwu, XU Zejing, WANG Bo. Shear capacity analysis methods on R.C members［J］. World Earthquake Engineering, 2002, 18(3): 95-101.
［9］ GASTEBLED O J, MAY I M. Fracture mechanics model applied to shear failure of reinforced concrete beams without stirrups［J］. ACI Structural Journal, 2001,
98(2): 184-190.
［10］ WEIBULL W. The phenomenon of rupture in solids［J］. Royal Swedish Institute of Engineering Research, 1939, 153: 1-55.
［11］ BAANT Z P. Size effect in blunt fracture: concrete, rock, metal［J］. Journal of Engineering Mechanics, 1984, 110(4): 518-535.
［12］ CARPINTERI A. Fractal nature of material microstructure and size effects on apparent mechanical properties［J］. Mechanics of Materials, 1994, 18(2): 89-
101.
［13］ CARPINTERI A. Scaling laws and renormalization groups for the strength and toughness of disordered materials［J］. International Journal of Solids and
Structures, 1994, 31(3): 291-302.
［14］ BAANT Z P, CHEN Erping.结构破坏的尺度律［J］.王文标，黄晨光，赵红平，等译.力学进展，1999，29(3)：383-433.
BAANT Z P, CHEN Erping. Scaling of structural fallure［J］. WANG Wenbiao, HUANG Chenguang, ZHAO Hongping, et al, translate. Advances in Mechanics, 1999, 29(3):
383-433.
［15］ REBEIZ K S. Shear strength prediction for concrete members［J］. Journal of Structural Engineering, 1999, 125(3): 301-308.
［16］ MRSCH E. Concrete-Steel Construction (Der Eisenbetonbau)［M］. New York: McGraw Hill Book Company, 1909.
［17］ BAANT Z P, KIM J K. Size effect in shear failure of longitudinally reinforced beams［J］. ACI Journal, 1984, 81(5): 456-468.
［18］ BENTZ E C. Empirical modeling of reinforced concrete shear strength size effect for members without stirrups［J］. ACI Structural Journal, 2005, 102(2):
232-241.
［19］ BAANT Z P, YU Qiang. Designing against size effect on shear strength of reinforced concrete beams without stirrups:Ⅰ. Formulation［J］. Journal of
Structural Engineering, 2005, 131(12): 1877-1885.
［20］ GUSTAFSSON P J. Sensitivity in shear strength of longitudinally reinforced concrete beams to fracture energy of concrete［J］. ACI Structural Journal, 1988,
85(3): 286-294.
［21］ ISSA M A, ISSM M S, CHUDNOVSKY A. Size effects in concrete fracture: Part Ⅰ, experimental setup and observations［J］. International Journal of Fracture,
2000, 102(1): 1-24.
［22］ ZARARIS P D, PAPADAKIS G C. Diagonal shear failure and size effect in RC beams without web reinforcement［J］. Journal of Structural Engineering, 2001, 127
(7): 733-742.
［23］ ZARARIS P D, ZARARIS I P. Shear strength of reinforced concrete beams under uniformly distributed loads［J］. ACI Structural Journal, 2008, 105(6): 711-719.
［24］罗林，王启智.基于尺寸效应的无腹筋钢筋混凝土梁的剪切强度公式［J］.应用数学和力学，2013，34(6)：606-619.
LUO Lin, WANG Qizhi. Shear strength formula for reinforced concrete beams without web reinforcements against size effect［J］. Applied Mathematics and Mechanics,
2013, 34(6): 606-619.
［25］ BAANT Z P, SUN H H. Size effect in diagonal shear failure: influence of aggregate size and stirrups［J］. ACI Materials Journal, 1987, 21: 259-272.
［26］ BAANT Z P, KAZEMI M T. Size effect of diagonal shear failure of beams without stirrups［J］. ACI Structural Journal, 1991, 88(3): 268-276.
［27］ COLLINS M P. A rational approach of shear design-the 1984 Cana-dian code provisions［J］. Journal of the Society for Neuroscience, 1986, 83(6): 925-933.
［28］ COLLINS M P, MITCHELL D. Shear and torsion design of prestr-essed and non-pre-stressed concrete beams［J］. PCI Journal, 1980, 25(5): 32-100.
［29］ HSU T T C, ZHANG L X . Tension stiffen in reinforced concrete member elements［J］. ACI Structural Journal, 1996: 108-115.
［30］魏巍巍，贡金鑫，车轶.无腹筋钢筋混凝土受弯构件基于修正压力场理论的受剪计算［J］.建筑结构学报，2011，31(8)：79-85.
WEI Weiwei, GONG Jinxin, CHE Yi. Shear strength of reinforced concrete members without stirrups based on modified compression field theory［J］. Journal of
building structures, 2010, 31(8): 79-85.
［31］郑智辉.基于尺寸效应的混凝土结构承载能力研究［D］.南京：南京理工大学，2010.
ZHENG Zhihui. The Study of Capacity for Concrete Construction Against sizeEffect［D］. Nanjing: Nanjing University of Science and Technology, 2010.
［32］何龙军，车轶.钢筋混凝土无腹筋梁受剪承载力尺寸效应研究［J］.水利与建筑工程学报，2013，11(6)：171-175.
HE Longjun, CHE Yi. Size effect of shear capacity of reinforced concrete beams without stirrups［J］. Journal of Water Resources and Architectural Engineering,
2013, 11(6): 171-175.
［33］ ACI Committee 318. Building code requirements for reinforced concr-ete［J］. ACI Journal Proceedings, 1962, 59(2): 145-276.
［34］ BAANT Z P, YU Qiang, GERSTLE W, et al. Justification of ACI 446 code provisions for shear design of reinforced concrete beams［J］. ACI Structural
Journal, 2007, 104(5): 601-609.
［35］魏巍巍，贡金鑫.基于修正压力场理论的有腹筋钢筋混凝土受弯构件受剪计算［J］.建筑结构学报，2011，32(5)：135-141.
WEI Weiwei, GONG Jinxin. Shear strength prediction of reinforced concrete flexural members with stirrups based on modified compression field theory［J］. Journal
of Building Structures, 2011, 32(5): 135-141.
［36］常生福.钢筋混凝土梁斜截面受剪承载力的计算［J］.工业建筑，2014，44(增刊)：223-226.
CHANG Shengfu. The calculation on shear capacity of oblique-section of reinforced concrete beams［J］. Industrial Construction, 2014, 44(Sup): 223-226.
［37］王景全，戚家南.有腹筋与无腹筋钢筋混凝土梁抗剪承载力统一计算方法［J］.土木工程学报，2013，46(7)：47-57.
WANG Jingquan, QI Jianan. Unified shear strength computation model for reinforced concrete beams with and without stirrups［J］. China Civil Engineering Journal,
2013, 46(7): 47-57.
［38］ ZARARIS P D. Shear compression failure in reinforced concrete deep beams［J］. Journal of Structural Engineering, 2003, 129(4): 544-553.
［39］ RUSSO G, MITRI D, PAULETTA M. Shear strength design formula for RC beams with stirrups［J］. Engineering Structures, 2013, 51(2): 226-235.
［40］ COLLINS M P, KUCHMA D. How safe are our large, lightly reinfor-ced concrete beams, slabs and footings?［J］. ACI Structural Journal, 1999, 96(4): 482-490.
［41］中国建筑科学研究院.钢筋混凝土构件试验数据集—1985年设计规范背景资料续编［M］.北京：中国建筑工业出版社，1985.
China Academy of Building Research.Test Data Material for Reinforced Concrete Members［M］. Beijing: China Architecture and Building Press, 1985.
［42］ TODISCO L, REINECK K H. Database of shear tests for non-slender reinforced concrete beams without stirrups［J］. ACI Structural Journal, 2014, 111(4): 989-
990.
［43］ TODISCO L, REINECK K H, BAYRAK O. Database with shear tests for non-slender reinforced concrete beams with vertical stirrups［J］. ACI Structural Journal,
2015, 112(6): 761-769.
［44］ REINECK K H, BENTZ E C, FITIK B, et al. ACI-DAfStb database for shear tests on slender reinforced concrete beams with stirrups［J］. ACI Structural Journal,
2014, 111(5): 1147-1156.
［45］ ACI-ASCE Committee 326. Shear and diagonal tension［J］. ACI Journal Proceedings, 1962, 59(2): 277-334.
［46］ KANI G N J. How safe are our large reinforced concrete beams?［J］. ACI Journal Proceedings, 1967, 64(3): 128-141.
［47］ CHANA P S. Some Aspects of Modeling the Behavior of Reinforced Concrete Under Shear Loading［R］. London: Cement and Concrete Association, 1981.
［48］ SHIOYA T, IGURO M, NOJIRI Y, et al. Shear strength of large reinforced beams［C］∥Fracture Mechanics: Application to Concrete, SP-118. Farmington Hills,
Mich: American Concrete Institute, 1989: 259-279.
［49］ WALRAVEN J. Size effects in short beams loaded in shear［J］. ACI Structural Journal, 1994, 91(5): 585-593.
［50］ TAN K H, LU H Y. Shear behavior of large reinforced concrete deep beams and code comparisons［J］. ACI Structural Journal, 1999, 96(5): 836-845.
［51］ ZHANG Ning, TANKanghai. Size effect in RC deep beams: experi-mental investigation and STM verification［J］. Engineering Structures, 2007, 29(12): 3241-
3254.
［52］施岚青.钢筋混凝土构件抗剪能力计算的几点建议［J］.清华大学学报(自然科学版)，1973，16(1)：54-83.
SHI Lanqing. Several suggestions for reinforced concrete members shear capacity calculation［J］. Journal of Tsinghua University(Science and Technology), 1973, 16
(1): 54-83.
［53］ SHERWOOD E G. One-Way Shear Behavior of Large, Lightly-Reinforced Concrete Beams and Slabs［D］. Toronto: University of Toronto, 2008: 159-165.
［54］ YANG K H. Tests on lightweight concrete deep beams［J］. ACI Structural Journal, 2010, 107(6): 663-670.
［55］ SNEED L H, RAMIREZ J A. Influence of effective depth on the shear strength of concrete beams-experimental study［J］. ACI Structural Journal, 2010, 107(5):
554-562.
［56］于磊，车轶，宋玉普.大尺寸钢筋混凝土无腹筋梁受剪试验研究［J］.土木工程学报，2013，46(1)：1-7.
YU Lei, CHE Yi, SONG Yupu. Experimental study on shear strength of large-size reinforced concrete beams without web reinforcement［J］. China Civil Engineering
Journal, 2013, 46(1): 1-7.
［57］于磊.大尺寸钢筋混凝土梁受剪试验研究［D］.大连：大连理工大学，2012.
YU Lei.Experimental Investigation on Shear Strength of Large Size Reinforced Concrete Beams［D］. Dalian: Dalian University of Technology, 2012.
［58］ BIRRCHER D B, TUCHSCHERER R G, HUIZINGA M, et al. Depth effect in deep beams［J］. ACI Structural Journal, 2014, 111(4): 731-740.
［59］刘立新，谢丽丽，陈萌.钢筋混凝土深受弯构件受剪性能的研究［J］.建筑结构，2000，30(10)：19-23.
LIU Lixin, XIE Lili, CHEN Meng. Studying for shear capacity of reinforced concrete deep flexural members［J］. Building Structure, 2000, 30(10): 19-23.
［60］ TOMPOS E J, FROSCH R J. Influence of beam size, longitudinal reinforcement, and stirrup effectiveness on concrete shear strength［J］. ACI Structural
Journal, 2002, 99(5): 559-567.
［61］杜修力，袁健，周宏宇，等.钢筋混凝土梁在低周反复荷载作用下受剪性能的尺寸效应试验研究［J］.地震工程与工程振动，2011，31(5)：30-38.
DU Xiuli, YUAN Jian, ZHOU Hongyu, et al. The experimental study of size effect on shear capacity of reinforced concrete beam under low cyclic loading［J］. Journal
of Earthquake Engineering and Engineering Vibration, 2011, 31(5): 30-38.

[1]	ZHANG Zhanmei1, SHI Ruiqi1, REN Xiaoyu1, PAN Yunxia2, LI Rui3. Engineering Practice of “A2/O+Coagulation Sedimentation + Fiber Rotary Plate Filtration” Process in Upgrading of Sewage Treatment Plant [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(05): 116-121.
[2]	HUA Jun1, SUN Zhicheng2, ZHAO Junwei1, ZHU Tong2, 3. Influence Analysis of Pedestrian Active Safety System on Operation State of Traffic Flow [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(03): 34-42.
[3]	ZHOU Shuming1,2, YAN Donghuang1. Simulation Experiment of Simply Supported Reinforced Concrete Pre-cracked Beam under Vehicle Static Load [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 67-73.
[4]	XIE Qun1, WANG Quanlei2,3, WANG Huoming2, XU Zhoucong2. Sliding Resistance and Mechanical Properties of Two-Component Epoxy Resin Anti-skid Thin Layer [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 74-79.
[5]	Ayalew Mesfin Mitiku, SHAO Yiming, ZHANG Lei, WANG Rong, PENG Jinshuan. Test and Evaluation of Lane Departure Warning System for Passenger Cars [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(11): 141-146.
[6]	WANG Chao1, ZHOU Leisheng2，XU Run1, SONG Jie1. Application of BIM Construction Integrated Management Platform in Tunnel Engineering [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(09): 74-79.
[7]	SUN Ma, ZHOU Jianting, XU Lueqin, GAO Peng, YANG Shanqing. Deterioration of the Flexural Behavior of RC Beams Based on Accelerated Corrosion Experiments [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(08): 51-58.
[8]	QIN Wanggen1,2，CAI Zhengyin1，GUAN Yunfei1，LI Xiaomei1. Laboratory Tri-axial CD Test of Cement Solidification for Soft Soil in Typical Area [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(01): 103-108.
[9]	ZHANG Jianjing1 , MA Donghua1 , ZENG Pengyi1, SUN Yanjun2, HE Meng2. Development and Test Analysis of a New Portable Borehole Shear Equipment [J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(11): 90-97.
[10]	SUN Jiancheng, BAO Keduan. Mechanical Properties of Asphalt Concrete Pavement Assembly Type Base Structure [J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(10): 50-55.
[11]	HUANG Lihua1, 2, ZHAO Xiaohua1, 2, LI Yang1, 3, RONG Jian1, 2. Influence of Advance Guide Signs on Drivers in Interchange Area of Highway [J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(02): 86-93.
[12]	LIU Fang1, 2, 3, ZHOU Xiangnan 2, 3, JIANG Mingjing1, 2, 3. Formulas for Estimating Size-Dependent Normal Contact Resistance of 3D Bonded Spheres [J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(7): 66-72.
[13]	RONG Yao1，SUN Bin2，SUN Yang1. Application of Advanced Geological Prediction in Dynamic Classification Prediction for Tunnel Surrounding Rock [J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(6): 18-23.
[14]	WEI Song1, 2, 3, ZHANG Wenjin1, XIAO Shuxia1, 3, CHEN Qing1. Mechanical Properties of Saturated Clay under Effect of over Consolidation Ratio [J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(5): 64-70.
[15]	LI Xuepeng1, 2, YANG Xiaojuan3, CAI Guojun1, 2, LI Biao4, LIN Jun1, 2. Determination of Undrained Shear Strength of Clayey Soil in Ningbo Based on CPTU [J]. Journal of Chongqing Jiaotong University(Natural Science), 2016, 35(6): 20-23.