ThreeDimensional Numerical Analysis of the Mechanical Behavior of

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 授課教授: 宋國彰教授指導教授：林德貴教授碩士班學生：陳家棟

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 前言文獻回顧研究方法結果與討論 1

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 文獻回顧排樁之設計原則 (a)切排樁(tangent pile wall) (b)疊排樁(secant pile wall) (c)交錯排樁(staggered pile wall) (d)間隔排樁(spaced pile wall) 3

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法研究區域 15

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法傾斜管編號C-B-A監測資料 16

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法研究執行流程圖 17

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 數值模型-幾何模式研究方法孔號 (m) BH-1 BH-2 BH-3 -A BH-4 -A BH-5 -A BH-6 BH-7 堆石填充深度範圍(m) 粘土築堤風化粘土層 0 0~8 8~9 9~18 0~1. 5 0~1. 75 0~1. 9 1. 5~8 1. 75~8 1. 9~8 8~9 8~9 9~18 0 0 8~9 9~18 35. 6 m 18

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法數值模型-邊界條件四周側面底面 • 水平位移束制邊界 (滾輪邊界，roller boundary) • 位移完全束制邊界 ( 鉸接邊界，hinge boundary) 19

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法數值模型-土壤材料參數 unsat ( sat) Model (Material Type) (k. N/m 3) 堆石填充 Mohr-Coulomb (drained) 19 (22) Soil Layer Model (Material Type) (k. N/m 3) 粘土築堤 Soft-soil (drained) 19 (21) Soil Layer unsat ( sat) c (k. Pa) (°) E (k. Pa) kx. ky. kz (m/day) (°) 0. 30 0. 5 35 0 1. 4 104 3. 499 λ* κ* c (k. Pa) (°) kx. ky. kz (m/day) 0. 061 0. 022 35 28 0 0. 6238 Soft-soil (k. Pa) , 19(for gravelly sand with SPT-N>15) (Bowles, 2001) E風化粘土層 =600 (SPT-N)+6 +2000 0. 064 0. 026 1 25 0 0. 04752 (drained) (22) Soft-soil (drained) 20 (23) E colluvium=600 (50)+6 +2000=35600 。粘土層 0. 063 0. 024 5 30 0 0. 2478 20

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 數值模型-結構材料參數研究方法擋土排樁材料特性材料種類樁徑D (m) 樁斷面積特性混凝土強度fc' 楊氏模數E As及Ac (m 2) (kg/cm 2) (k. Pa) TYPE 1 0. 025 0. 00051 - 2. 00 108 TYPE 2 0. 032 0. 00082 - 2. 00 108 TYPE 1 1. 000 0. 2825 280 2. 46 107 鋼筋混凝土 21

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 數值模型-結構材料參數研究方法 E (k. Pa) (k. N/m 3) Pile type選用功能 Predefined pile type D (m) A (m 2) I 3 (m 4) I 2 (m 4) 上半部 (Type 1) 2. 49 107 23. 52 Predefined Massive cirular pile 0. 6 0. 283 0. 006362 88. 74 700 下半部 (Type 1+Type 2) 2. 54 107 23. 52 Predefined Massive cirular pile 0. 6 0. 283 0. 006362 93. 41 700 選用 Embedded pile 離散樁 Tmax Fmax (k. N/m) (k. N) l E=楊氏模數； =單位體積重；D=樁徑; A=樁總斷面積；I 3=3 -軸(Y-軸)慣性矩= Iy；I 2=2 -軸(X-軸)慣性矩= Ix l Es =鋼筋楊氏模數；Ec =混凝土揚氏模數; Epile =排樁楊氏模數= (Es As+Ec Ac)/Apile l Tmax=排樁之最大樁身摩擦力；Tmax 參考Das (2007)之建議 l p=樁斷面之周長; f=任意深度z處之樁身單位摩擦力; Ko=1 -sin =靜止土壓力係數; v =臨界垂直有效應力= D ; =土-樁介面摩擦角=(0. 5~0. 8) l Fmax=排樁之最大端點阻抗力 22

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法數值模型-數值模擬執行 phase Start from phase Calculation type Model description Initial phase Gravity loading - Phase 1 Initial phase Plastic Piles installations Phase 2 Phase 1 Plastic Rockfill Phase 3 Phase 2 Consolidation 42 days Phase 4 Phase 3 Safety Phase 5 Phase 2 Consolidation Phase 6 Phase 5 Safety 1345 days 23

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 數值模型-幾何模式研究方法土壤材料參數 unsat Soil ( sat) Layer (k. N/m 3) 崩積 19 層 (21) c (k. Pa) (°) E (k. Pa) kx. ky. kz (m/da y) 0. 3 5 25 0 3. 56 104 3. 499 Rinter 0. 75 結構材料參數選用材料 E (k. Pa) Embedded pile 2. 36 107 (k. N/m 3) 23. 52 Pile type 選項選用 Predefined pile type選項選用Massive circular pile D (m) A (m 2) 1 0. 785 I 3 (m 4) I 2 (m 4) 0. 04909 Tmax (k. N/m) Fmax (k. N) 235 700 25

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 數值模型-幾何模式研究方法結構材料參數 E 選用元素類 (k. N/m 2) 型 Node-tonode Anchor Embedded pile (Grout 3 107 body) 選用元素 A (m 2) (k. N/m 3) E (k. N/m 2) I 3 (m 4) I 2 (m 4) Beam 1. 3 78. 5 3 107 0. 1083 0. 1831 (k. N/m 3) D (m) A (m 2) EA (k. N) pre-stress force (k. N) Ttop, max (k. N/m) Tbot, max (k. N/m) Fmax (k. N) - - - 2. 38 105 588. 6 - - - 24 0. 14 0. 01539 - - 490. 8 0 0 26

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 研究方法數值模型-數值模擬執行 phase Start from phase Calculation type Model description Initial phase Gravity loading - Phase 1 Initial phase Safety - Phase 2 Initial phase Plastic Piles installation Phase 3 Phase 2 Safety - Phase 4 Phase 2 Plastic Tied-Back Retaining Pile installation Phase 5 Phase 4 Safety - 27

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 結果與討論 FS=1. 231 現地擋土排樁穩定邊坡之穩定性 FS=1. 339 FS=1. 335

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 結果與討論現地擋土排樁穩定邊坡之穩定性

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 結果與討論地錨傾角 θ=10 , FSp+a=1. 117 θ=20 , FSp+a=1. 120 θ=30 , FSp+a=1. 281 θ=40 , FSp+a=1. 105

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 結果與討論地錨預力 T=40 t, FSp+a=1. 267 T=50 t, FSp+a=1. 281 T=60 t, FSp+a=1. 266

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 結果與討論排樁打設位置 Lx=0. 3 FS=1. 112 Lx=0. 6 FS=1. 137 Lx=0. 5 FS=1. 127 Lx=0. 4 FS=1. 117 Lx=0. 7 FS=1. 107

背拉式擋土止滑排樁之力學行為三維數值分析 Three-Dimensional Numerical Analysis of the Mechanical Behavior of Tied-Back Retaining Piles Stabilized Slope 結果與討論排樁打設長度 Lp=6, FSp=1. 093 Lp=9, FSp=1. 150 Lp=12, FSp=1. 242 Lp=6, FSp+a=1. 275 Lp=9, FSp+a=1. 284 Lp=12, FSp+a=1. 278

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