有粘结预应力CFRP筋混凝土梁抗弯承载力可靠度分析

RELIABILITY ANALYSIS FOR FLEXURAL CAPACITY OF PRESTRESSED CONCRETE GIRDERS WITH BONDED CFRP REINFORCEMENTS

  • 摘要: 为提出基于可靠度分析的有粘结预应力CFRP筋混凝土梁抗弯承载能力极限状态设计方法,该文建立了包含32座预应力CFRP筋混凝土梁桥的设计空间。该空间涵盖了常见的高跨比范围和两种弯曲破坏模式(受拉破坏和受压破坏)。基于已有文献中115根梁的试验结果,确定了预应力CFRP筋混凝土梁抗弯承载力计算模型的统计参数。在此基础上,采用验算点法开展了预应力CFRP筋混凝土梁可靠度分析,校准了预应力CFRP筋材料分项系数γf,并通过Monte Carlo模拟验证了验算点法计算结果的准确性。结果表明:对于受拉破坏控制的梁,当γf从1.2提高到1.3,可靠指标β约增加0.5;对于受压破坏控制的梁,γf对可靠指标β几乎没有影响。为满足行业标准JTG 2120−2020规定的脆性破坏目标可靠指标,建议预应力CFRP筋材料分项系数取1.3。对预应力CFRP筋混凝土梁弯曲破坏模式进行概率分析,确定了受拉破坏和受压破坏皆可能发生的过渡区范围(0.7ρb<ρ≤1.5ρb,其中ρb为平衡配筋率),并建议1.5ρb为确保发生受压破坏的最小配筋率。

     

    Abstract: To achieve a reliability-based design provisions for the flexural strength of the concrete bridge girders prestressed with bonded carbon fiber-reinforced polymer (CFRP) reinforcements, this paper first establishes a design space of 32 benchmark bridges. This space covers a range of common height-to-span ratios and two types of flexural failure modes (tensile failure and compressive failure). Subsequently, statistical parameters for the flexural strength model are estimated based on an extensive experimental database of 115 beams from the existing literature. On this basis, the checking point method is applied to conduct a reliability analysis and calibrate the partial material factors associated with prestressed CFRP γf. The accuracy of the results obtained from the checking point method is verified by the Monte Carlo simulation. The results show that increasing the value of γf from 1.2 to 1.3 leads to an approximate 0.5 increase in the reliability index β for tension-controlled girders. However, for the compression-controlled girders, the variation in γf has an insignificant effect on their reliability indexes. To meet a uniform target reliability level for brittle failure, as specified in JTG 2120−2020, a prestressed CFRP partial material factor of 1.3 is recommended. Finally, a probabilistic analysis of flexural failure modes of CFRP prestressed concrete beams is conducted to determine the transition region where tension failure and compression failure are possible (0.7ρb<ρ≤1.5ρb, where ρb is the balanced failure mode). As a result, a minimum flexural reinforcement ratio of 1.5ρb is proposed to ensure a compression failure mode.

     

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