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研究生: 許秋慧
Vera - Amalia Santoso Hie
論文名稱: Evaluation of Modulus of Subgrade Reaction for Analysis of Deep Excavation
Evaluation of Modulus of Subgrade Reaction for Analysis of Deep Excavation
指導教授: 歐章煜
Chang-Yu Ou
口試委員: 謝佑明
Yo-Ming Hsieh
唐雨耕
Yu-Geng Tang
學位類別: 碩士
Master
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 英文
論文頁數: 160
中文關鍵詞: beam on elastic foundationspringsmodulus of subgrade reactionanchored bulkheadfree earth supportclaysoft claymedium claystiff clayrigid wallflexible wallVEXPlaxisRidoTNEC
外文關鍵詞: beam on elastic foundation, springs, modulus of subgrade reaction, anchored bulkhead, free earth support, clay, soft clay, medium clay, stiff clay, rigid wall, flexible wall, VEX, Plaxis, Rido, TNEC
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  • Evaluations of the modulus of subgrade reaction have been carried out by Modified Ou and Tung’s Equation based on beam on elastic foundation method. The theoretical equation is incorporated in Versatile Excavation Analysis program. In order to verify the equation, Plaxis finite element tool could be used as benchmark in analysis studies. However, it needs to be continuously fully validated against reliable field measurement results before used. In order to be realistic in simulating the real condition, there is an establishment of lateral earth pressure in the back of the wall along the twice depth of a tension crack in the Modified Ou and Tung’s theory based on beam on elastic foundation.
    A variation approach is employed to numerical problem for diaphragm wall embedded in clay soils using beam on an elastic foundation model. The Modified Ou and Tung’s Equation is validated against several hypothetical cases, such as linearly undrained shear strength to the depth, single, and two-layer of clay soil system with constant soil stiffness.
    Furthermore, the comparison of Plaxis, Rido, and VEX results will found that VEX give it best performance in the free earth support condition of the wall in which the uniformly wall movement is produced. Otherwise, the modulus of subgrade reaction obtained from Modified Ou and Tung’s Equation will be no longer applicable, even just for single layer of clay soil. The behavior of rigid walls lay on three different soil classifications (soft clay, medium clay, and stiff clay) then will be performed to gain better understanding on these behaviors. In addition, the flexible wall in soft clay will also be considered due to its consistency in giving well perform in wall displacement.


    Evaluations of the modulus of subgrade reaction have been carried out by Modified Ou and Tung’s Equation based on beam on elastic foundation method. The theoretical equation is incorporated in Versatile Excavation Analysis program. In order to verify the equation, Plaxis finite element tool could be used as benchmark in analysis studies. However, it needs to be continuously fully validated against reliable field measurement results before used. In order to be realistic in simulating the real condition, there is an establishment of lateral earth pressure in the back of the wall along the twice depth of a tension crack in the Modified Ou and Tung’s theory based on beam on elastic foundation.
    A variation approach is employed to numerical problem for diaphragm wall embedded in clay soils using beam on an elastic foundation model. The Modified Ou and Tung’s Equation is validated against several hypothetical cases, such as linearly undrained shear strength to the depth, single, and two-layer of clay soil system with constant soil stiffness.
    Furthermore, the comparison of Plaxis, Rido, and VEX results will found that VEX give it best performance in the free earth support condition of the wall in which the uniformly wall movement is produced. Otherwise, the modulus of subgrade reaction obtained from Modified Ou and Tung’s Equation will be no longer applicable, even just for single layer of clay soil. The behavior of rigid walls lay on three different soil classifications (soft clay, medium clay, and stiff clay) then will be performed to gain better understanding on these behaviors. In addition, the flexible wall in soft clay will also be considered due to its consistency in giving well perform in wall displacement.

    ABSTRACT ii ACKNOWLEDGEMENTS iii CONTENTS iv LIST OF TABLES vii LIST OF FIGURES viii Chapter 1 INTRODUCTION 1 1.1. Background 1 1.2. Objectives and Scopes 2 1.3. Organization 3 Chapter 2 LITERATURE REVIEW 4 2.1. The Outgrowth of Beam on Elastic Foundation Method (BEM) 4 2.2. The Estimation of Coefficient of Subgrade Reaction 8 Chapter 3 THEORETICAL DERIVATIO OF MODULUS OF SUBGRADE REACTION 13 3.1. Introduction 13 3.2. Theoretical Derivation 13 3.2.1. Assumptions 13 3.2.2. Stress-Strain Behavior of the Soil in Front of the Wall 14 3.2.3. Stress-Strain Behavior of the Soil Below the Wall Bottom 15 3.2.4. Boundary Conditions and Solutions 17 3.2.5. Derivation of Coefficient of Subgrade Reaction 18 3.3. Miyoshi Method and Double-Side Springs Method 19 Chapter 4 METHODOLOGY 21 4.1. Plaxis v7.11 21 4.1.1. Introduction 21 4.1.2. Basic Procedure 21 4.1.3. Geometry Model 22 4.1.4. Diaphragm Wall, Cast Floor Slab, and Struts as Beam Elements 22 4.1.5. Soil Meshing 23 4.1.6. Interfaces 24 4.1.7. Standard Fixities 25 4.1.8. Water Weight 25 4.1.9. Initial Conditions 25 4.1.10.1. Soil Elements 26 4.1.10.2. Modelling Soil Behaviour 26 4.1.10.3. Type of Soil Behaviour (Material Type) 27 4.2. VEX 27 4.2.1. VEX Introduction 27 4.2.2. Water Pressure and Pore Pressure 28 4.2.3. Wall Properties 28 4.2.4. Excavation Site Properties 28 4.2.5. Soil Properties 29 4.3. Parameter Used in Research Study 31 4.3.1. Input Structural Properties 31 4.3.1.1. Diaphragm Wall Parameters 31 4.3.1.2. Floor Slab Parameters 31 4.3.1.3. Struts Parameters 32 4.3.2. Input Soil Properties 32 4.3.2.1. Soil Stiffness 32 4.3.2.2. Ko-Procedure 33 4.3.2.3. Distribution of Lateral Earth Pressure 34 Chapter 5 ANALYSIS RESULTS AND DISCUSSIONS 36 5.1. Taipei National Enterprising Center Building 36 5.1.1. General Information 36 5.1.2. Soil Conditions 36 5.1.3. Finite Element Model 37 5.1.4. Numerical Results 38 5.2. Sensitivity Studies of Modified Ou and Tung’s Equation 38 5.3. Establish the Earth Pressure in the Back of the Wall 39 5.4. Verification Using Hypothetical Cases 40 5.4.1. Linearly Undrained Shear Strength to the Depth 40 5.4.2. Constant Value of Undrained Shear Strength 42 5.4.2.1. One Layer of Clay Soil 42 5.4.2.2. Two Layers of Clay Soil 43 5.4.3. Anchored Bulkhead with Free Earth Support Model 44 5.4.3.1. Soft Clay 45 5.4.3.2. Medium Clay 48 5.4.3.3. Stiff Clay 49 5.5. Parametric Studies 50 Chapter 6 CONCLUSIONS AND FUTURE WORK 52 6.1. Conclusions 52 6.2. Further Research 53 REFERENCES 54

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