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懸臂式擋土牆設計:112 年版規範下要檢核哪些項目

一道懸臂式擋土牆從外部穩定到構材配筋,要檢核的項目不少。這篇依民國 112 年版規範整理一份清單。

1設計依據

現行設計依民國 112 年版《建築物基礎構造設計規範》與《建築物混凝土結構設計規範》[5, 6]。外部穩定以安全係數檢核,牆身與底版等構材以強度設計。

2外部穩定:常時與地震

外部穩定要分別在常時與地震兩種情況下檢核:

  • 傾覆:抵抗彎矩與傾覆彎矩的比值
  • 滑動:底版摩擦與附著力,必要時計入牆前被動土壓與止滑榫
  • 偏心:合力作用點是否落在底版容許範圍內
  • 承載:基底最大壓力是否小於地層容許承載力

3土壓與水

常時主動土壓之外,地震時要計入地震土壓,常用 Mononobe–Okabe 理論 [7]。牆背與牆前有地下水時,還要考慮水壓、底版上浮力與地震時的動水壓。

4構材設計

牆身、前趾、後踵與止滑榫都要檢核撓曲與剪力強度,並配置溫度筋、確認伸展長度。牆身彎矩沿高度遞減,主筋常在適當高度截斷以節省材料。

懸臂式擋土牆斷面與牆身彎矩包絡牆身彎矩(tf·m/m)常時 Mu地震 Mu設計強度 φMn
圖 1懸臂式擋土牆牆身彎矩沿高度的分布,常時與地震兩種情況與設計強度比較(計算核心實算)。

5在 StructFlow 中完成

StructFlow 的懸臂式擋土牆工具涵蓋上述全部項目,並自動挑選全部通過且最省的配筋,產出可列印的計算書。

參考文獻

  1. Mander, J. B., Priestley, M. J. N., & Park, R. (1988). Theoretical stress-strain model for confined concrete. Journal of Structural Engineering, 114(8), 1804–1826. doi:10.1061/(ASCE)0733-9445(1988)114:8(1804)
  2. Popovics, S. (1973). A numerical approach to the complete stress-strain curve of concrete. Cement and Concrete Research, 3(5), 583–599. doi:10.1016/0008-8846(73)90096-3
  3. Whitney, C. S. (1937). Design of reinforced concrete members under flexure or combined flexure and direct compression. ACI Journal Proceedings, 33(3), 483–498. doi:10.14359/8429
  4. ACI Committee 318. (2019). Building Code Requirements for Structural Concrete (ACI 318-19) and Commentary (ACI 318R-19). American Concrete Institute. doi:10.14359/51716937
  5. 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
  6. 內政部(Ministry of the Interior, Taiwan). (2023). 建築物基礎構造設計規範(Design Specifications for Foundations of Buildings),112 年 6 月 20 日修正發布,113 年 1 月 1 日生效. nlma.gov.tw
  7. Mononobe, N., & Matsuo, H. (1929). On the determination of earth pressure during earthquakes. Proceedings of the World Engineering Congress, Vol. 9, Tokyo, 177–185.
  8. Sutherland, I. E., & Hodgman, G. W. (1974). Reentrant polygon clipping. Communications of the ACM, 17(1), 32–42. doi:10.1145/360767.360802
  9. 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
  10. 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.
  11. Hung, C.-C., & Li, S.-H. (2013). Three-dimensional model for analysis of high performance fiber reinforced cement-based composites. Composites Part B: Engineering, 45(1), 1441–1447. doi:10.1016/j.compositesb.2012.08.004
  12. 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
  13. 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
  14. 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
  15. Ou, Y.-C., Alrasyid, H., Haber, Z. B., & Lee, H.-J. (2015). Cyclic behavior of precast high-strength reinforced concrete columns. ACI Structural Journal, 112(6), 839–850. doi:10.14359/51687911
  16. 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

下一道擋土牆,交給 StructFlow 檢核。

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