The increasing demands of sustainable design and construction with economical sections, reduced cover, and more efficient time schedule require more flexibility in the design methodologies. The development of ultra‐high performance concrete (UHPC) have gained increasing interests as an attractive option for structural members with lightweight and superior performances. Concrete members reinforced with steel bars and fibers, generally known as hybrid reinforced concrete (HRC), offer a feasible solution in terms of reducing reinforcing materials and achieving desired structural performance. This paper proposes an analytical model to predict the flexural behavior of hybrid reinforced UHPC with steel reinforcements. Moment–curvature solutions are derived for reinforced sections based on parameterized tension‐compression constitutive models. The approach is applicable to customized cross section and derivation of T‐section is demonstrated. The moment–curvature response is further simplified as a tri‐linear model, which is used for the development of full‐range displacement solutions in analytical form. The proposed model is validated with the experimental data from literature covering a range of materials and member sizes. The full‐range solutions may provide insights into the serviceability design approach based on the criterion of maximum crack width or allowable deflection.

中文翻译：

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钢筋混凝土超高性能混凝土抗弯构件设计的解析方法

可持续设计和建造的需求不断增加，包括经济的部分，减少的覆盖范围和更有效的时间表，这要求设计方法具有更大的灵活性。作为具有轻质和优异性能的结构构件的有吸引力的选择，超高性能混凝土（UHPC）的开发引起了越来越多的兴趣。用钢筋和纤维增强的混凝土构件（通常称为混合钢筋混凝土（HRC））在减少增强材料和实现所需的结构性能方面提供了可行的解决方案。本文提出了一种分析模型，以预测具有钢增强材料的混合增强UHPC的弯曲行为。基于参数化的拉压本构模型，得出了加筋截面的弯矩曲率解。该方法适用于定制的横截面，并演示了T形截面的推导。弯矩曲率响应被进一步简化为三线性模型，用于分析形式的全范围位移解的开发。所提出的模型已用来自文献的实验数据进行了验证，这些文献涵盖了各种材料和构件尺寸。全方位解决方案可能会基于最大裂缝宽度或允许挠度的准则，提供有关可维修性设计方法的见识。所提出的模型已通过来自文献的实验数据进行了验证，这些文献涵盖了各种材料和构件尺寸。全方位解决方案可能会基于最大裂缝宽度或允许挠度的准则，提供有关可维修性设计方法的见识。所提出的模型已通过来自文献的实验数据进行了验证，这些文献涵盖了各种材料和构件尺寸。全方位解决方案可能会基于最大裂缝宽度或允许挠度的准则，提供有关可维修性设计方法的见识。