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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
引用本文: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.
作者姓名:符勇强  方圣恩  林志平
作者单位:福州大学 土木工程学院, 福州 350108;福建省高速公路集团有限公司, 福州 350001
基金项目:国家自然科学基金面上项目(51578158)资助项目
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。

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
收稿时间:2020/9/12 0:00:00
修稿时间:2021/1/15 0:00:00

Ultimate bearing capacity equation and reliability estimation of fiber-reinforced recycled concrete one-way slabs
FU Yong-qiang,FANG Sheng-en,LIN Zhi-ping.Ultimate bearing capacity equation and reliability estimation of fiber-reinforced recycled concrete one-way slabs[J].Chinese Journal of Computational Mechanics,2022,39(1):7-12.
Authors:FU Yong-qiang  FANG Sheng-en  LIN Zhi-ping
Institution:School of Civil Engineering, Fuzhou University, Fuzhou 350108, China; Fujian Expressway Group Co., Ltd., Fuzhou 350001, China
Abstract: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.
Keywords:fiber-reinforced recycled concrete one-way slabs  bending limit states  coefficient of equivalent rectangular stress area  live-dead load effect ratio  reliability formula
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