吉林大学学报(工学版) ›› 2019, Vol. 49 ›› Issue (4): 1153-1161.doi: 10.13229/j.cnki.jdxbgxb20180174

• • 上一篇    

超高强钢筋工程用水泥基复合材料梁受弯计算理论

李碧雄1,2(),廖桥1,2,章一萍3,4,周练3,4,隗萍3,4,刘侃1,2   

  1. 1. 四川大学 建筑与环境学院，成都 610065
    2. 四川大学 深地科学与工程教育部重点实验室，成都 610065
    3. 四川省建筑设计研究院，成都 610072
    4. 四川省建筑工业化工程技术研究中心，成都 610072
  • 收稿日期:2018-02-28 出版日期:2019-07-01 发布日期:2019-07-16
  • 作者简介:李碧雄（1970?），女，教授，博士. 研究方向：工程用水泥基复合材料. E?mail:libix@126.com
  • 基金资助:
    国家自然科学基金项目(51678379);四川省学术带头人培养基金项目(川人社办发[2016]183-2);国家重点研发计划项目(2018YFC1508802_01-02)

Theoretical on flexural behavior of ultra high strength rebar reinforced engineered cementitious composites beam

Bi⁃xiong LI1,2(),Qiao LIAO1,2,Yi⁃ping ZHANG3,4,Lian ZHOU3,4,Ping WEI3,4,Kan LIU1,2   

  1. 1. College of Architecture and Environment, Sichuan University, Chengdu 610065, China
    2. Key Laboratory of Deep Underground Science and Engineering for Ministry of Education, Sichuan University, Chengdu 610065, China
    3. Sichuan Provincial Architectural Design and Research Institute, Chengdu 610072, China
    4. Sichuan Engineering and Technology Research Center of Architecture Industrialization, Chengdu 610072, China
  • Received:2018-02-28 Online:2019-07-01 Published:2019-07-16

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摘要：

以工程用水泥基复合材料及超高强钢筋的应力-应变本构关系为基础，根据平均应变的平截面假定和梁受拉区ECC不退出工作等假定，建立超高强钢筋ECC梁正截面受弯计算理论，得到了开裂弯矩、屈服弯矩、极限弯矩、界限配筋率和最小配筋率的计算方法。最后，通过文献中的试验结果验证了本文计算理论的合理性。

关键词: 工程力学, 工程用水泥基复合材料, 超高强钢筋, 计算理论, 正截面承载力, 受弯构件

Abstract:

A new type of reinforced Engineered Cementitious Composites (ECC) beam was proposed with ultra high strength bars, named ultra high strength rebar reinforced ECC beam (UHSRRE). The tensile bearing capacity of ultra high strength reinforcement was expected to be efficiently utilized until the requirements of serviceability limit state were not met in UHSRRE. Theoretical analysis on the flexural behavior of UHSRRE was conducted. Three kinds of moments at different phases, including cracking moment, yielding moment and ultimate moment, were estimated with three fundamental hypotheses to calculate the flexural capacity. These hypotheses were the constitutive relationships of ECC and ultra high strength rebar, plane section assumption of mean strain, and the tensile stress of ECC in the tensile area of beam. In addition, the requirements of boundary and minimum reinforcement ratio were defined. These theoretical models were verified by the experimental results .

Key words: engineering mechanics, engineered cementitious composites（ECC）, ultra high strength rebar, calculation theory, bearing capacity of cross section, flexural member

中图分类号: 

  • TU375.1

图1

ECC单轴受拉应力?应变理论曲线"

图2

ECC单轴受压应力?应变理论曲线"

图3

超高强钢筋应力?应变理论曲线"

图4

第Ⅰ阶段末梁截面应力、应变分布"

图5

第Ⅱ阶段末（受压区处于弹性状态）梁截面应力、应变分布"

图6

第Ⅱ阶段末（受压区进入弹塑性状态）梁截面应力、应变分布"

图7

第Ⅲ阶段末梁截面应力、应变分布"

表1

UHSRRE受弯理论值与试验值"

编号 开裂弯矩/（kN·m） M c r c M c r e 屈服弯矩/（kN·m） M y c M y e 极限弯矩/（kN·m） M u c M u e
M c r c M c r e M y c M y e M u c M u e
HRECC1 1.80 1.01 1.78 6.58 5.85 1.12 6.81 7.66 0.89
HRECC2 2.08 1.31 1.59 8.59 8.00 1.07 8.83 10.87 0.81
HRECC3 1.89 1.54 1.23 8.82 8.73 1.01 9.19 11.03 0.83

图8

理论值与试验值对比结果"

表2

理论分析结果"

编号

最小配筋率

/%

实际配筋率

/%

x c b

/mm

界限配筋率

/%

 受压区ECC应力（应变）状态

破坏

类型
第Ⅱ阶段末 第Ⅲ阶段末
HREEC1

0

0

0

 0.56

85.02

85.02

3.88

3.88

 弹性

压区边缘ECC

达单轴受压峰

值应变

延性破坏

延性破坏

延性破坏
HRECC2 0.84 弹塑性
HRECC3 1.12 73.52 3.79 弹塑性
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