您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(工学版)》

山东大学学报 (工学版) ›› 2022, Vol. 52 ›› Issue (3): 42-50.doi: 10.6040/j.issn.1672-3961.0.2021.004

• 土木工程 • 上一篇    下一篇

含裂隙无腹筋梁的抗剪承载能力

刘文杰1(),杨学英2,张波1,*(),范志鑫1,李成新1,杨惠茗1,李景龙1   

  1. 1. 山东大学土建与水利学院, 山东 济南 250061
    2. 山东城市建设职业学院, 山东 济南 250014
  • 收稿日期:2021-01-06 出版日期:2022-06-20 发布日期:2022-06-23
  • 通讯作者: 张波 E-mail:wenter2417@163.com;zhangbo1977@sdu.edu.cn
  • 作者简介:刘文杰(1995—),男,山东青岛人,硕士研究生,主要研究方向为混凝土等脆性材料裂隙扩展。E-mail: wenter2417@163.com
  • 基金资助:
    国家自然科学基金资助项目(51879151);国家自然科学基金资助项目(51879148);国家自然科学基金资助项目(51909142)

Shear capacity of beams with cracks and without web reinforcement

Wenjie LIU1(),Xueying YANG2,Bo ZHANG1,*(),Zhixin FAN1,Chengxin LI1,Huiming YANG1,Jinglong LI1   

  1. 1. School of Civil Engineering, Shandong University, Jinan 250061, Shandong, China
    2. Shandong Urban Construction Vocational College, Jinan 250014, Shandong, China
  • Received:2021-01-06 Online:2022-06-20 Published:2022-06-23
  • Contact: Bo ZHANG E-mail:wenter2417@163.com;zhangbo1977@sdu.edu.cn

摘要:

分析混凝土梁内部既有裂隙的位置及角度对无腹筋梁抗剪承载力的影响, 制作多组含既有裂隙的试验梁, 进行梁的三点弯曲试验, 研究位于梁跨中和梁侧基本拱体范围内既有裂隙对无腹筋梁抗剪承载力的影响及裂缝扩展规律。结果表明: 梁上的既有裂隙对梁的抗剪承载力有削弱作用; 在其他条件相同的情况下, 梁跨中既有裂隙的裂尖距离梁底中部越近, 对无腹筋梁抗剪承载力的削弱作用越大; 梁侧既有裂隙的角度与基本拱体重合度越高, 对无腹筋梁抗剪承载力的削弱作用越大;梁侧既有裂隙的角度与基本拱体重合度越高, 梁底裂缝越容易扩展通过既有裂隙的两个裂尖, 反之, 梁底裂缝可扩展至既有裂隙中部。

关键词: 混凝土, 无腹筋梁, 既有裂隙, 抗剪承载力, 基本拱体

Abstract:

In order to investigate the effect of the position and angle of the pre-existing cracks on the shear capacity of beams without web reinforcement, a number of experiment beams with pre-existing cracks were fabricated, the three-point bending experiment of the beam was carried out. The influence of pre-existing cracks located in the basic arch of the beam span and the beam side on the shear capacity of beams without web reinforcement and the law of crack propagation were studied. The results showed that the pre-existing cracks on the beam had a weakening effect on the shear capacity of the beam, which made the beam more prone to diagonal tensile failure. Under the same conditions, when the crack tip of the pre-existing crack in the beam span was closer to the middle point of the bottom of the beam, the greater the weakening effect on the shear bearing capacity of the beam without web reinforcement. When the coincidence degree of the angle of the pre-existing cracks on the beam side and the basic arch was higher, the greater the weakening effect on the shear bearing capacity of the beam without web reinforcement, and the cracks at the bottom of the beam propagate through the two crack tips of the pre-existing cracks was easier. Conversely, the cracks at the bottom of the beam could extend to the middle of the pre-existing cracks.

Key words: concrete, beam without web reinforcement, pre-existing crack, shear capacity, basic arch

中图分类号: 

  • TU375.1

图1

基本拱体示意图"

图2

模具钻孔布置图"

图3

模具加工示意图"

图4

既有裂隙位置示意图"

表1

试验工况"

工况编号 裂隙位置 裂隙角度/(°)
工况1
工况2 梁跨中(L/2处) 0
工况3 梁跨中(L/2处) 45
工况4 梁跨中(L/2处) 90
工况5 梁侧(5L/16处) 0
工况6 梁侧(5L/16处) 30
工况7 梁侧(5L/16处) 45
工况8 梁侧(5L/16处) 60
工况9 梁侧(5L/16处) 90
工况10 梁侧(5L/16处) 120
工况11 梁侧(5L/16处) 135
工况12 梁侧(5L/16处) 150

图5

荷载-应变曲线图"

表2

试验数据表"

工况编号 极限荷载/ kN 极限荷载值的变化幅度/% 梁底最大应变/10-6
工况1 14.78 对照组 1 392.00
工况2 12.42 -16.0 1 184.00
工况3 11.13 -24.7 988.00
工况4 9.76 -34.0 784.00
工况5 8.90 -39.8 695.00
工况6 7.41 -49.9 643.00
工况7 8.52 -42.4 728.00
工况8 10.68 -27.7 904.00
工况9 11.97 -19.0 1 195.00
工况10 14.69 -0.6 1 259.00
工况11 12.80 -13.4 1 204.00
工况12 13.98 -5.4 1 380.00

图6

各工况破坏模式"

图7

最大主应力数值计算图"

图8

隔离体受力示意图"

图9

基本拱体示意图"

图10

瓶颈型应力场"

图11

A-A截面压应力分布图"

图12

B-B截面拉应力分布图"

图13

受力单元体示意图"

1 Joint ACI-ASCE Committee 445 . Recent approaches to shear design of structural concrete[J]. Journal of Structural Engineering, ASCE, 1998, 124 (7): 853- 853.
2 KANI G . The riddle of shear failure and its solution[J]. ACI Structural Journal, 1964, 61 (4): 441- 468.
3 ZSUTTY Theodore . Shear strength prediction for separate catagories of simple beam tests[J]. Journal Proceedings, 1971, 68 (2): 138- 143.
4 张狄龙, 邸小坛. 不同破坏形态下混凝土无腹筋梁弯剪承载力计算研究[J]. 建筑科学, 2019, 35 (5): 1- 6.
doi: 10.3969/j.issn.1673-2049.2019.05.001
ZHANG Dilong , DI Xiaotan . Study and calculation of flexural-shear capacity of concrete beams without web reinforcement under different failure modes[J]. Building Science, 2019, 35 (5): 1- 6.
doi: 10.3969/j.issn.1673-2049.2019.05.001
5 RUSSO Gaetano , SOMMA Giuliana , MITRI Denis . Shear strength analysis and prediction for reinforced concrete beams without stirrups[J]. Journal of Structural Engineering, 2005, 131 (1): 66- 74.
doi: 10.1061/(ASCE)0733-9445(2005)131:1(66)
6 郑开启, 刘钊, 孟少平, 等. 一种无腹筋混凝土梁受剪承载力计算的新方法[J]. 东南大学学报(自然科学版), 2017, 47 (2): 362- 368.
ZHENG Kaiqi , LIU Zhao , MENG Shaoping , et al. Novel calculation method for shear capacity of RC beams without web reinforcement[J]. Journal of Southeast University (Natural Science Edition), 2017, 47 (2): 362- 368.
7 BAZANT Z P , KIM J K . Size effect in shear failure of longitudinally reinforced beams[J]. Journal Proceedings, 1984, 81 (5): 456- 468.
8 魏巍巍, 贡金鑫. 钢筋混凝土构件基于修正压力场理论的受剪承载力计算[J]. 工程力学, 2011, 28 (2): 111- 117.
WEI Weiwei , GONG Jinxin . Shear strength of reinforced concrete members based on modified compression field theory[J]. Engineering Mechanics, 2011, 28 (2): 111- 117.
9 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.
10 黄靓, 徐紫鹏, 鲁懿虬. 弯剪共同作用下钢筋混凝土梁承载力计算方法的研究[J]. 工程力学, 2012, 29 (12): 302- 306.
doi: 10.6052/j.issn.1000-4750.2011.03.0100
HUANG Liang , XU Zipeng , LU Yiqiu . Research of calculated method of bearing capacity for reinforced concrete member under shear and bending[J]. Engineering Mechanics, 2012, 29 (12): 302- 306.
doi: 10.6052/j.issn.1000-4750.2011.03.0100
11 王英, 顾祥林, 林峰. 考虑压拱效应的钢筋混凝土双跨梁竖向承载力分析[J]. 建筑结构学报, 2013, 34 (4): 32- 42.
WANG Ying , GU Xianglin , LIN Feng . Vertical bearing capacity of RC two-bay beams considering compressive arch action[J]. Journal of Building Structures, 2013, 34 (4): 32- 42.
12 梁兴文, 史庆轩. 混凝土结构设计原理[M]. 北京: 中国建筑工业出版社, 2011.
13 徐世烺, 赵国藩. 混凝土结构裂缝扩展的双K断裂准则[J]. 土木工程学报, 1992, (2): 32- 38.
XU Shilang , ZHAO Guofan . A double-K fracture criterion for the crack propagation in concrete structures[J]. China Civil Engineering Journal, 1992, 25 (2): 32- 38.
14 王璀瑾, 董伟, 王强, 等. 混凝土Ⅰ型裂缝扩展准则比较研究[J]. 工程力学, 2016, 33 (5): 89- 96.
WANG Cuijin , DONG Wei , WANG Qiang , et al. A comparative study on propagation criterion of concrete mode I crack[J]. Engineering Mechanics, 2016, 33 (5): 89- 96.
15 荣华, 董伟, 吴智敏, 等. 大初始缝高比混凝土试件双K断裂参数的试验研究[J]. 工程力学, 2012, 29 (1): 162- 167.
RONG Hua , DONG Wei , WU Zhimin , et al. Experimental investigation on double-k fracture param-eters for large initial crack-depth ratio in concrete[J]. Engineering Mechanics, 2012, 29 (1): 162- 167.
16 尹阳阳, 胡少伟, 王宇航. 自重对混凝土三点弯曲梁断裂性能的影响[J]. 工程力学, 2019, 36 (7): 48- 56.
YIN Yangyang , HU Shaowei , WANG Yuhang . Influence of self-weight on the fracture properties of three-point bending concrete beams[J]. Engineering Mechanics, 2019, 36 (7): 48- 56.
17 李清, 张迪, 杨阳, 等. 含单侧预制裂纹梁的冲击动态断裂过程试验研究[J]. 振动与冲击, 2015, 34 (4): 205- 210.
LI Qing , ZHANG Di , YANG Yang , et al. Dynamic fracture tests for a beam containing unilateral pre-existing cracks under impact loads[J]. Journal of Vibration and Shock, 2015, 34 (4): 205- 210.
18 岳中文, 宋耀, 邱鹏, 等. 冲击载荷下双预置裂纹三点弯曲梁动态断裂实验[J]. 振动与冲击, 2017, 36 (4): 151- 156.
YUE Zhongwen , SONG Yao , QIU Peng , et al. A dynamic fracture experiment of a three-point-bend beam containing double pre-existing cracks under impact load[J]. Journal of Vibration and Shock, 2017, 36 (4): 151- 156.
19 梅比. 含圆孔缺陷三点弯曲梁的裂纹扩展特性实验研究[J]. 振动与冲击, 2020, 39 (5): 74- 80.
MEI Bi . Tests for crack propagation characteristics of three-point bending beam with circular hole defect[J]. Journal of Vibration and Shock, 2020, 39 (5): 74- 80.
20 夏雨, 周诗博, 龙嘉欣, 等. 基于扩展有限元法的钢筋混凝土梁裂纹扩展的数值模拟[J]. 力学与实践, 2018, 40 (3): 281- 288.
XIA Yu , ZHOU Shibo , LONG Jiaxin , et al. numerical simulation of crack growth of reinforced concrete flexural members based on XFEM[J]. Mechanics in Engineering, 2018, 40 (3): 281- 288.
21 易伟建, 王昱, 邓清. 骨料粒径对无腹筋梁抗剪性能影响的试验研究[J]. 湖南大学学报(自然科学版), 2014, 41 (11): 1- 7.
YI Weijian , WANG Yu , DENG Qing . Experimental study on aggregate size role in shear strength of reinforced concrete beams without shear reinforcement[J]. Journal of Hunan University(Natural Sciences), 2014, 41 (11): 1- 7.
22 陶齐宇, 张义志. 混凝土结构的拉-压杆模型设计方法[J]. 西南公路, 2017, (1): 35- 41.
TAO Qiyu , ZHANG Yizhi . Design method of strut-and-tie model of concrete structure[J]. Southwest Highway, 2017, (1): 35- 41.
23 刘立渠, 王娟娟, 杨润林, 等. 压杆强度在混凝土深梁的应用研究[J]. 建筑结构学报, 2010, 31 (增刊1): 315- 318.
LIU Liqu , WANG Juanjuan , YANG Runlin , et al. The strength of struts in the reinforced concrete deep beams[J]. Journal of Building Structures, 2010, 31 (Suppl.1): 315- 318.
24 RIGOTTI Marco. Diagonal cracking in reinforced concrete deep beams: an experimental investigation[D]. Montreal, Canada: Concordia University, 2003.
[1] 薛刚, 张一帆, 刘江森, 董伟. 钢渣细骨料混凝土软化曲线逆推分析[J]. 山东大学学报 (工学版), 2025, 55(6): 120-128.
[2] 薛刚,邱永康,秦政博,董伟. 盐溶液干湿循环作用下钢渣细骨料混凝土的耐久性[J]. 山东大学学报 (工学版), 2025, 55(5): 130-139.
[3] 薛刚,刘秋雨,董伟,李京军. 冲击荷载下钢渣细骨料混凝土力学特性及本构关系[J]. 山东大学学报 (工学版), 2025, 55(4): 108-117.
[4] 薛刚,邬松,董伟. 碳化钢渣细骨料混凝土本构关系[J]. 山东大学学报 (工学版), 2025, 55(2): 97-105.
[5] 银英姿,魏景涛,泽里罗布,董伟. 基于Wiener退化过程的纤维混凝土抗冻性[J]. 山东大学学报 (工学版), 2025, 55(2): 106-113.
[6] 张启懿,邹春霞,郭晓松,宋育鑫,郑建庭,赵溢. NaOH改善粉煤灰混凝土微结构及抗风蚀-冻融耐久性能[J]. 山东大学学报 (工学版), 2024, 54(4): 131-140.
[7] 董伟,朱相茹,王雪松,周梦虎. 氯盐干湿循环下风积沙混凝土微观结构演变[J]. 山东大学学报 (工学版), 2024, 54(4): 115-121.
[8] 罗靓,晏宇翔,吕辉,张成明. 异形钢管混凝土轴压短柱力学性能[J]. 山东大学学报 (工学版), 2024, 54(3): 103-114.
[9] 王鹏, 黄成, 赵国浩, 张峰. 混凝土单箱三室箱梁水化热温度场及应变场模型试验[J]. 山东大学学报 (工学版), 2024, 54(1): 109-122.
[10] 董伟,周梦虎,王雪松,薛刚,王栋. 碳化-冻融作用对风积沙混凝土氯离子传输的影响[J]. 山东大学学报 (工学版), 2024, 54(1): 123-130.
[11] 宋洋,罗志恒,张波,张宇,朱敏. 裂隙位置对类岩体短柱单轴压缩破坏形态影响[J]. 山东大学学报 (工学版), 2023, 53(5): 121-131.
[12] 于洋,石南,高磊,赵国浩,张峰. 预应力混凝土空心板梁抗剪承载力分析[J]. 山东大学学报 (工学版), 2023, 53(3): 88-95.
[13] 王旭昊,刘倩倩,李虎成,李程,李鹏,凌一峰. 装配式水泥混凝土路面板空心形式研究与优化[J]. 山东大学学报 (工学版), 2022, 52(4): 139-150.
[14] 李军伟,徐飞,王兵,高阳. 混凝土不同骨料粒径对声发射检测的影响[J]. 山东大学学报 (工学版), 2021, 51(5): 84-90.
[15] 周术明,颜东煌. 基于裂缝参数的钢筋混凝土预裂梁刚度试验研究[J]. 山东大学学报 (工学版), 2021, 51(1): 53-59.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 张永花,王安玲,刘福平 . 低频非均匀电磁波在导电界面的反射相角[J]. 山东大学学报(工学版), 2006, 36(2): 22 -25 .
[2] 李 侃 . 嵌入式相贯线焊接控制系统开发与实现[J]. 山东大学学报(工学版), 2008, 38(4): 37 -41 .
[3] 孔祥臻,刘延俊,王勇,赵秀华 . 气动比例阀的死区补偿与仿真[J]. 山东大学学报(工学版), 2006, 36(1): 99 -102 .
[4] 来翔 . 用胞映射方法讨论一类MKdV方程[J]. 山东大学学报(工学版), 2006, 36(1): 87 -92 .
[5] 余嘉元1 , 田金亭1 , 朱强忠2 . 计算智能在心理学中的应用[J]. 山东大学学报(工学版), 2009, 39(1): 1 -5 .
[6] 陈瑞,李红伟,田靖. 磁极数对径向磁轴承承载力的影响[J]. 山东大学学报(工学版), 2018, 48(2): 81 -85 .
[7] 王波,王宁生 . 机电装配体拆卸序列的自动生成及组合优化[J]. 山东大学学报(工学版), 2006, 36(2): 52 -57 .
[8] 季涛,高旭,孙同景,薛永端,徐丙垠 . 铁路10 kV自闭/贯通线路故障行波特征分析[J]. 山东大学学报(工学版), 2006, 36(2): 111 -116 .
[9] 秦通,孙丰荣*,王丽梅,王庆浩,李新彩. 基于极大圆盘引导的形状插值实现三维表面重建[J]. 山东大学学报(工学版), 2010, 40(3): 1 -5 .
[10] 张英,郎咏梅,赵玉晓,张鉴达,乔鹏,李善评 . 由EGSB厌氧颗粒污泥培养好氧颗粒污泥的工艺探讨[J]. 山东大学学报(工学版), 2006, 36(4): 56 -59 .