工具畫面

彎矩-曲率分析畫面 — **圖 1**60 × 60 cm 斷面、fc′ 700 kgf/cm²、軸力比 0.1、Mander 圍束 K＝1.3 的彎矩-曲率曲線與材料應力-應變關係。

同一斷面，四種模型

下圖由計算核心對同一斷面分別套用四種混凝土模型實算：圍束與纖維補強對極限曲率與韌性的影響一目了然。

圖 260 × 60 cm、10-#10、fc′ 700 kgf/cm²、P＝0.1fc′Ag 斷面在四種混凝土模型下的彎矩-曲率曲線；圓點為極限點，括號內為曲率韌性 μφ＝φu/φy。

材料模型

核心混凝土採 Mander 圍束模型 [1, 2]；HUNG 模型描述高性能纖維混凝土（HPFRCC）[11, 12]；UHPC 包覆模型對應 UHPC 包覆補強既有柱的研究 [13, 14]。鋼筋考慮應變硬化、斷裂與挫屈。

參考文獻

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內政部（Ministry of the Interior, Taiwan）. (2023). 建築物混凝土結構設計規範（Design Specifications for Concrete Structures of Buildings），112 年 8 月 10 日修正發布，113 年 1 月 1 日生效. nlma.gov.tw
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National Center for Research on Earthquake Engineering (NCREE). 台灣新型高強度鋼筋混凝土（Taiwan New RC）專區. ncree.niar.org.tw/service/newrc
Chiu, C.-K., Hung, C.-C., Lin, K.-C., Liu, K.-Y., Lee, H.-J., Cheng, M.-Y., et al. (2019). Design Guideline for Building of High-Strength Reinforced Concrete Structures (Draft), NCREE-19-001. National Center for Research on Earthquake Engineering.
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Hung, C.-C., El-Tawil, S., & Chao, S.-H. (2021). A review of developments and challenges for UHPC in structural engineering: Behavior, analysis, and design. Journal of Structural Engineering, 147(9), 03121001. doi:10.1061/(ASCE)ST.1943-541X.0003073
Shao, Y., Kuo, C.-W., & Hung, C.-C. (2021). Seismic performance of full-scale UHPC-jacket-strengthened RC columns under high axial loads. Engineering Structures, 243, 112657. doi:10.1016/j.engstruct.2021.112657
Hung, C.-C., Kuo, C.-W., & Shao, Y. (2021). Cast-in-place and prefabricated UHPC jackets for retrofitting shear-deficient RC columns with different axial load levels. Journal of Building Engineering, 44, 103305. doi:10.1016/j.jobe.2021.103305
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Shen, W.-C., & Hwang, S.-J. (2023). Confinement reinforcement of high-strength reinforced concrete tied columns under high axial load. ACI Structural Journal, 120(3), 145–155. doi:10.14359/51738505