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符勇强,方圣恩,林志平.纤维再生混凝土单向板承载力极限状态方程及可靠度计算[J].计算力学学报,2022,39(1):7~12
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纤维再生混凝土单向板承载力极限状态方程及可靠度计算
Ultimate bearing capacity equation and reliability estimation of fiber-reinforced recycled concrete one-way slabs
投稿时间:2020-09-12  修订日期:2021-01-15
DOI:10.7511/jslx20200912001
中文关键词:  纤维再生混凝土单向板  受弯极限状态  等效矩形应力图系数  活恒载效应比  可靠度公式
英文关键词:fiber-reinforced recycled concrete one-way slabs  bending limit states  coefficient of equivalent rectangular stress area  live-dead load effect ratio  reliability formula
基金项目:国家自然科学基金面上项目(51578158)资助项目
作者单位
符勇强 福州大学 土木工程学院, 福州 350108 
方圣恩 福州大学 土木工程学院, 福州 350108 
林志平 福建省高速公路集团有限公司, 福州 350001 
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中文摘要:
      当前缺少计算纤维再生混凝土单向板处于承载力极限状态时的可靠度计算公式。为此,首先基于纤维再生混凝土的本构关系,推导了受压区等效矩形应力图系数;然后根据单向板破坏控制因素确定随机变量统计参数,建立纤维再生混凝土板的受弯承载力极限状态方程;接着结合验算点法推导可靠度计算公式,研究了纤维加入前后再生混凝土单向板可靠度指标的变化,以及纵筋配筋率和活恒载效应比对指标的影响。结果表明,纤维的加入和纵筋配筋率的增加均提升了再生混凝土单向板的可靠性,但可靠度指标随着活恒载效应比的增大而降低。同时,所提出的可靠度公式可作为纤维再生混凝土单向板工程可靠度计算时的参考。
英文摘要:
      Currently there are no reliability formulas for the ultimate bearing capacity of fiber-reinforced concrete (FRC) one-way slabs.First, the coefficient for equivalent rectangular compressive stress was deduced based on the constitutive relation of fiber-reinforced concrete.Second, the statistical features of random variables were determined according to the control factors corresponding to the failure of one-way slabs.Then the bending limit state equation of fiber-reinforced recycled concrete one-way slabs was established.Lastly, the checking point method was incorporated with the limit state equation to derive the reliability formula.The variations of the reliability index of recycled concrete one-way slabs with and without fibers were investigated, together with the influence of the longitudinal reinforcement ratio and the live-dead load effect ratio.The analysis results show that the addition of fibers, as well as the increase of longitudinal reinforcement ratio, can improve the reliability of recycled concrete one-way slabs, while the increase of live-dead load effect ratio reduces the reliability index.The proposed reliability formula can be used as a reference for reliability calculation of fiber-reinforced recycled concrete one-way slabs.
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