Extreme actions, such as impact loads, contain many uncertainties and hence, may not be analyzed by a deterministic approach. In this paper, an effective framework for performance evaluation of reinforced concrete (RC) beams subjected to impact loadings is proposed. For this purpose, a simple yet effective model considering the shear-flexural interaction is developed based on available impact test results. By incorporating the shear effect, both the maximum displacement and impact force are well predicted, by which the proposed model for the impact analysis of RC beams is validated. The joint probability density function (PDF) of two damage indexes, i.e. local drift ratio and overall support rotation, is used to represent the local shear damage degree and the overall flexural damage degree. Taking advantage of the probabilistic framework and the effective model, reliability analysis of the RC beams under different impact scenarios is performed. The damage, described in this study by the joint PDF, is highly affected by the combination of impact mass and velocity. Thus, the mass–velocity ([Formula: see text]–[Formula: see text] diagrams for various performance levels are generated for the damage assessment of the RC beams. Furthermore, the contribution of the local and global responses to the failure probability is quantified using the proposed probabilistic framework.

中文翻译：

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钢筋混凝土梁在冲击载荷下性能评估的有效框架

冲击载荷等极端动作包含许多不确定性，因此可能无法通过确定性方法进行分析。在本文中，提出了一种有效的框架来评估承受冲击载荷的钢筋混凝土 (RC) 梁的性能。为此，基于可用的冲击试验结果开发了一个考虑剪切-弯曲相互作用的简单而有效的模型。通过结合剪切效应，可以很好地预测最大位移和冲击力，从而验证所提出的 RC 梁冲击分析模型。采用局部漂移比和整体支架旋转两个损伤指标的联合概率密度函数（PDF）来表示局部剪切损伤程度和整体弯曲损伤程度。利用概率框架和有效模型，对钢筋混凝土梁在不同冲击情景下的可靠性进行了分析。在本研究中由联合 PDF 描述的损坏受到冲击质量和速度组合的高度影响。因此，为 RC 梁的损伤评估生成了各种性能水平的质量-速度（[公式：见文本]-[公式：见文本]图表。此外，局部和全局响应对失效概率的贡献使用提出的概率框架进行量化。见文本]–[公式：见文本]为 RC 梁的损伤评估生成了各种性能水平的图表。此外，使用提出的概率框架量化了局部和全局响应对故障概率的贡献。见文本]–[公式：见文本]为 RC 梁的损伤评估生成了各种性能水平的图表。此外，使用提出的概率框架量化了局部和全局响应对故障概率的贡献。