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研究生: 陳昱文
Chen, Yu-Wen
論文名稱: 邊坡之基礎承載力試驗與分析
Model Tests and Analyses for Bearing Capacity of Foundations Situated on Slopes
指導教授: 黃景川
Huang, Ching-Chuan
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2017
畢業學年度: 105
語文別: 中文
論文頁數: 118
中文關鍵詞: 基礎承載力水平地盤邊坡偏心傾斜載重模型試驗
外文關鍵詞: Bearing capacity, model test, Eccentric load, Inclined load
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  • 本研究採用長150 mm,直徑1.96 mm之鋼針模擬二向度 (Two-dimensional)均勻顆粒土壤,製作高500 mm之水平地盤與邊坡模型,探討水平地盤與邊坡之承載力,以兩種不同型式之基礎進行實驗,同時以5個自製雙向荷重計量測基礎下方正向力與剪力之分布,由偏心與傾斜載重情形,對承載力公式進行修正,並與各學者理論值比較。
    本研究利用鋼針直剪試驗與鋼針模型承載力試驗,可知:
    一、在鋼針雙曲線預測模型中,若代入鋼針直剪強度公式,並考慮摩擦角ϕ隨圍壓σn之增大而減小,其鋼針雙曲線預測模型可有較準確之結果。
    二、基礎傾斜載重為承載力分析之重要因子,本研究發現不同坡度時的初始傾斜載重也有所不同,但不論在水平地盤還是邊坡,產生第一次尖峰強度時,傾斜載重角度皆落在正負1度間。
    三、在探討邊坡承載力的偏心時,應考慮偏心的方向性,偏心靠近坡面時,承載力下降,偏心遠離坡面時,承載力上升,確認偏心方向性才能對基礎承載力做出正確的修正。
    四、傳統承載力公式對於水平地盤的偏心修正是有效的,但不適用於邊坡的偏心修正,本研究提出一個解決上述問題的方法。

    SUMMARY
    In present study, bearing capacity of footings placed on level ground or slopes were investigated using reduce-scaled model tests. An idealized 2-D backfill consisting of uniform diameter steel rods was used as the test medium. The present study focuses on the effects of eccentricity and inclined load on the ultimate bearing capacity of footings. The following conclusions were obtained:

    1.A hyperbolic model was established for simulating the nonlinear stress- displacement behavior of the steel rod backfill. The curved Mohr-Coulomb failure envelope was taken into account in the hyperbolic model.
    2.The influence of load inclination on the ultimate bearing capacity is insignificant for the test conditions examined in the study because the load inclination angles observed at the peak footing load fell within ±1^°, regardless of the increase of the slope angles.
    3.The load eccentricity on the footing had a dominant effect on the ultimate bearing capacity of footing, especially for the case of a footing situated on a slope.
    4.Conventional bearing capacity equations for footings subjected to eccentric loads are applicable for the case of horizontal ground;they are not applicable for the case of slope. A new methodology alleviating the above-mentioned drawback is proposed.

    摘要I ABSTRACTII 致謝V 目錄VI 表目錄IX 圖目錄XI 第一章 緒論1 1.1 研究動機與目的1 1.2 研究內容1 第二章 文獻回顧3 2.1土壤基礎承載力理論3 2.1.1 Terzaghi (1943)淺基礎承載力理論3 2.1.2 Meyerhof(1951, 1963)極限承載力理論5 2.1.3 Hansen(1970)承載力理論7 2.1.4 Vesic(1973, 1975)承載力理論11 2.1.5 Huang and Kang(2008a)承載力修正係數12 2.1.6 Huang and Kang (2008b)基礎後退修正係數13 2.1.7 Prakash and Saran (1971)承載力偏心修正理論16 2.1.8 Purkayastha and Char (1977)承載力偏心修正折減法18 2.2 Vesic (1973)淺基礎破壞模式19 2.3土壤雙曲線模型Duncan-Chang hyperbolic model (1970)21 2.4 Huang et al. (2014) 鋼針雙曲線模型23 第三章 實驗裝置與介紹25 3.1鋼針模型25 3.2資料量測系統25 3.2.1資料收集器25 3.2.2變位計26 3.2.3 S型荷重元26 3.2.4 雙向荷重計26 3.2.5 旋轉式基礎與固定式基礎28 3.3定位移加載試驗機28 3.3.1螺旋位移機28 3.3.2減速機28 3.3.3馬達28 3.3.4變頻器29 3.4鋼針直剪試驗裝置29 第四章 研究方法與試驗說明41 4.1鋼針直剪試驗步驟42 4.2固定式基礎與旋轉式基礎承載力試驗步驟42 第五章 模型試驗結果與分析43 5.1鋼針直接剪力試驗43 5.1.1結果與分析43 5.1.2鋼針直剪雙曲線模型48 5.1.3實驗之鋼針內摩擦角 ϕ 值決定55 5.2固定式與旋轉式基礎之試驗結果56 5.3水平地盤承載力比較58 5.4邊坡承載力破壞之情形64 5.4.1實驗破壞圖64 5.4.2正向力分佈圖74 5.5邊坡承載力傾斜載重之情形78 5.5.1 Sv/B=0至Sv/B=20%之傾斜載重比較78 5.5.2 Sv/B=0至Sv/B=6%之傾斜載重比較80 5.5.3 傾斜載重之修正83 5.6邊坡承載力偏心之情形85 5.6.1 Sv/B=0至Sv/B=20%之偏心距比較85 5.6.2 Sv/B=0至Sv/B=6%之偏心距比較87 5.6.3 偏心距之修正90 5.7 還原實驗值Nγ後與理論值Nγ比較100 5.8 修正Nγ理論值後與Nγ實驗值比較106 第六章 結論與建議113 6.1結論113 6.2建議114 參考文獻115

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