基于二阶矩法的钢筋混凝土连续梁可靠度分析

根据结构可靠性理论,运用应力-强度干涉模型,考虑随机参数服从正态分布情况下的影响,构建连续梁在强度失效模式下的可靠性模型,应用二阶矩法通过数值分析计算结构的可靠指标,得出了结构的可靠度。为使所建立的模型符合钢筋混凝土结构的具体受力特点,荷载效应计算中考虑了钢筋混凝土结构的内力重分布,承载能力计算中参考了《混凝土结构设计规范》(GB50010-2002)给出的近似计算公式,得到了多维非线性的极限状态方程。通过实例对模型和可靠度方法进行了验证,计算分析表明,本文所建立的可靠性模型揭示了钢筋混凝土连续梁在各种随机因素作用下强度失效的规律,为钢筋混凝土连续梁的可靠性分析提供了依据。此外,本文提供的构件可靠度计算思路也可为其他各类钢筋混凝土构件的可靠度分析提供参考。

Analysis on reliability of reinforced concrete continuous beam based on FOSM

Based on reliability theories for engineering structures,using Stress-strength Interference Model,and considering the normal distribution of random parameters,the model of reliability of continuous beam was built under the strength failure mode.Structural reliability index and reliabilty were obtained by numerical analysis on FOSM.For the purpose of making the model consistent with mechanic properties of reinforced concrete structure,internal force redistribution was considered on load effect calculation,approximate formula of Code for Design of Concrete Structures（GB50010-2002）was made use for reference to the calculation of bearing capacity.On this basis,multi-dimensional non-linear limit state equation was obtained.An example of the model and reliability method was verified.The results indicated that the model for the reliability of reinforced concrete continuous beam revealed the law of strength failure under a variety of random factors and provided a basis for reliability analysis.In addition,the ideas of structural component reliability in the paper can be a reference for other types of reliability analysis of reinforced concrete members.