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Contents 11

제1장 서론 26

1.1. 연구배경 26

1.2. 연구목적 28

1.3. 논문구성 및 내용 30

제2장 연구동향 32

2.1. 국내 연구동향 32

2.2. 해외 연구동향 35

2.2.1. 콘크리트 슬래브 두께 설계(AASHTO) 35

2.2.2. 콘크리트 슬래브 리프팅 위치 설계(PCI) 36

2.2.3. 프리캐스트 콘크리트 포장 공법(USA) 38

제3장 PCP 모델 개발 39

3.1. PCP의 구조시스템 39

3.2. PCP 모델 개발 43

3.2.1. PCP 모델의 기본개념 43

3.2.2. PCP 모델을 위한 재료물성 46

3.2.3. 철근요소 모델링 48

3.2.4. 경계조건 및 접촉요소 48

3.2.5. PCP 하부층 모델링 방안 50

3.2.6. PCP 모델 적용하중 52

3.2.7. PCP 모델의 요소형상 및 타입 55

3.2.8. 수렴도 시험 65

3.3. PCP 모델의 검증 67

3.3.1. Closed Form Solution에 의한 검증 67

3.3.2. 실측에 의한 검증 76

3.4. 환경하중에 의한 PCP 모델의 구조적 거동 81

3.5. 차량하중에 의한 PCP 모델의 구조적 거동 90

3.5.1. Single Axle에 의한 거동 90

3.5.2. Tandem Axle에 의한 거동 97

3.6. 소결 100

제4장 PCP 최적설계를 위한 수치해석 102

4.1. PCP 기층의 두께 102

4.1.1. 개요 102

4.1.2. 수치해석 모델 103

4.1.3. 수치해석 결과 104

4.1.4. 설계 주안사항 109

4.2. PCP 기층의 종류 110

4.2.1. 개요 110

4.2.2. 수치해석 결과 111

4.2.3. 설계 주안사항 120

4.3. PCP 채널 121

4.3.1. 채널의 형태 121

4.3.2. 수치해석 모델 123

4.3.3. 수치해석 결과 124

4.3.4. 설계 주안사항 127

4.4. PCP 충전재 129

4.4.1. 충전재의 기능 및 종류 129

4.4.2. 수치해석 결과 130

4.4.3. 설계 주안사항 136

4.5. 소결 137

제5장 PCP 시공안전성 확보를 위한 수치해석 140

5.1. PCP 시공 중 외기온도 140

5.1.1. 외기온도에 의한 PCP 슬래브의 초기변형 140

5.1.2. 수치해석 결과 141

5.1.3. 시공 주안사항 142

5.2. PCP 리프팅 안전장치 143

5.2.1. 표준 Type 결정 144

5.2.2. 상재하중 145

5.2.3. 표준 Type별 구조해석 146

5.2.4. 구조안전성 검토 148

5.2.5. Lifting Guide Frame 설계표준 152

5.3. 소결 153

제6장 Double-layered PCP 기술 154

6.1. D-PCP 개요 154

6.2. D-PFRCP 156

6.2.1. 특징 및 적용성 156

6.2.2. 환경하중에 의한 D-PFRCP의 구조적 거동 159

6.2.3. 차량하중에 의한 D-PFRCP의 구조적 거동 165

6.3. D-PPECP 171

6.3.1. 특징 및 적용성 171

6.3.2. 환경하중에 의한 D-PPECP의 구조적 거동 173

6.3.3. 차량하중에 의한 D-PPECP의 구조적 거동 179

6.4. D-PLMCP 185

6.4.1. 특징 및 적용성 185

6.4.2. 환경하중에 의한 D-PLMCP의 구조적 거동 186

6.4.3. 차량하중에 의한 D-PLMCP의 구조적 거동 192

6.5. 소결 198

제7장 결론 및 향후 연구방향 200

7.1. 연구결과 200

7.1.1. PCP 모델 개발 200

7.1.2. PCP 최적설계를 위한 수치해석 201

7.1.3. PCP 시공안전성 확보를 위한 수치해석 203

7.1.4. Double-layered PCP 기술 204

7.2. 종합결론 206

7.3. 향후 연구방향 208

REFERENCES 209

ABSTRACT 214

List of Tables

Table 2.1. Equivalent Static Load Multiplier 36

Table 3.1. Elastic Modulus of Concrete and Mortar 46

Table 3.2. Material Properties of PCP Model 47

Table 3.3. Properties of PCP Foundation 51

Table 3.4. Temperature Gradient Function 52

Table 3.5. Element Shape and Type 57

Table 3.6. Results due to Numerical Integration Method 64

Table 3.7. Results of Convergence Test 65

Table 3.8. Input Data for Calculation of Bradbury's Warping Stress 71

Table 3.9. Results of Bradbury's Warping Stress and 3D FEM 73

Table 3.10. Material Properties of Lean Concrete and Subgrade 74

Table 3.11. Comparison of Field Measurement and 3D FEM 79

Table 3.12. Max Displacement of PCP and JCP at TG=±1.0℃/㎝ 86

Table 3.13. Max Tensile Stress of JCP and PCP due to Temperature Loads 89

Table 3.14. Max Tensile Stress of JCP and PCP 96

Table 3.15. Y-dir. Max Tensile Stress of JCP and PCP 99

Table 4.1. Results due to Thickness of Lean Concrete Base 109

Table 4.2. Material Properties of Base Course 110

Table 4.3. Results due to Lean Concrete and Asphalt Base 119

Table 4.4. Results due to Concrete Base and Soil Base 119

Table 4.5. Results due to Type of PCP Channel 127

Table 4.6. Material Properties of Non-shrinkage and Epoxy Mortar 129

Table 4.7. Results due to Non-shrinkage Mortar and Epoxy Mortar 135

Table 5.1. Standard Type for Design of Lifting Guide Frame 144

Table 5.2. Loads for Design of Lifting Guide Frame 145

Table 5.3. Standardized Dimensions of Lifting Guide Frame 152

Table 6.1. Material Properties for D-PFRCP Model 158

Table 6.2. Results due to PCP and D-PFRCP Model 164

Table 6.3. Max Tensile Stress of PCP and D-PFRCP 170

Table 6.4. Material Properties for D-PPECP Model 172

Table 6.5. Results due to PCP and D-PPECP Model 178

Table 6.6. Max Tensile Stress of PCP and D-PPECP 184

Table 6.7. Material Properties for D-PLMCP Model 185

Table 6.8. Results due to PCP and D-PLMCP Model 191

Table 6.9. Max Tensile Stress of PCP and D-PLMCP 197

List of Figures

Figure 1.1. Super-Slab 27

Figure 1.2. Test Construction of PCP 27

Figure 2.1. Principal Stress of Slab due to Lifting 32

Figure 2.2. Stress Analysis of Lifting Bolt 34

Figure 2.3. Optimal Lifting Position of Concrete Slab 37

Figure 2.4. Pocket Type Precast Concrete Slab 38

Figure 2.5. Warped Slab 38

Figure 3.1. Precast Concrete Slabs 39

Figure 3.2. Dowel and Tie Grout holes 40

Figure 3.3. Details of Dowel Pocket 40

Figure 3.4. Details of Tie Pocket 41

Figure 3.5. Channels and Bedding Grout Holes 41

Figure 3.6. Example of PCP Shop Drawing 42

Figure 3.7. PCP Model by ABAQUS/CAE 43

Figure 3.8. Slab Size for PCP Model 44

Figure 3.9. Parts of PCP Model 44

Figure 3.10. Definition of Paths 45

Figure 3.11. Non-shrink Mortar Filler in Dowel Slots 47

Figure 3.12. Reinforcement Element(solid) 48

Figure 3.13. Contact Elements of Concrete and Dowel Bar Surface 49

Figure 3.14. General Cross Section of Rigid Pavement 50

Figure 3.15. Elastic Solid Foundation for PCP Model 51

Figure 3.16. Ground Contact Shape of Tire due to Axle Load 53

Figure 3.17. Ground Contact Area of Tire 53

Figure 3.18. Traffic Loads 54

Figure 3.19. Loading Position of Single Axle 55

Figure 3.20. Loading Position of Tandem Axle 55

Figure 3.21. Solid Element Shape 56

Figure 3.22. Commonly used Element Families 56

Figure 3.23. 3D Finite Element Model of JCP and PCP 57

Figure 3.24. Displacement due to Curl up at Path-1 59

Figure 3.25. Displacement due to Curl down at Path-1 59

Figure 3.26. Displacement due to Curl up at Path-2 60

Figure 3.27. Displacement due to Curl down at Path-2 60

Figure 3.28. X-dir. Tensile Stress due to Curl up at Path-1-1 61

Figure 3.29. X-dir. Tensile Stress due to Curl down at Path-1 61

Figure 3.30. Y-dir. Tensile Stress due to Curl up at Path-2-1 62

Figure 3.31. Y-dir. Tensile Stress due to Curl down at Path-2 62

Figure 3.32. Max Displacement and Tensile Stress due to Curl up 63

Figure 3.33. Max Displacement and Tensile Stress due to Curl down 63

Figure 3.34. Regression Analysis of Longitudinal Stress 66

Figure 3.35. Regression Analysis of Transverse Stress 66

Figure 3.36. Coordinate Axis of Infinite Slab 67

Figure 3.37. Temperature Difference 69

Figure 3.38. Coordinate Axis of finite Slab 70

Figure 3.39. Bradbury's Warping Stress Coefficients 72

Figure 3.40. Equivalent Spring Constant 74

Figure 3.41. Field Test of PCP 76

Figure 3.42. LVDT Installation 76

Figure 3.43. Temperature due to Depth of Slab 77

Figure 3.44. Temperature Gradient 77

Figure 3.45. Displacement by Curling Behavior 78

Figure 3.46. Max Displacement due to Curl down by 3D FEM 78

Figure 3.47. Max Displacement due to Curl up by 3D FEM 79

Figure 3.48. Deformed Shape due to Curl up 81

Figure 3.49. Deformed Shape due to Curl down 81

Figure 3.50. JCP Displacement due to Curl up at Path-1 82

Figure 3.51. JCP Displacement due to Curl down at Path-1 82

Figure 3.52. PCP Displacement due to Curl up at Path-1 83

Figure 3.53. PCP Displacement due to Curl down at Path-1 83

Figure 3.54. Max Displacement due to Curl up 84

Figure 3.55. Max Displacement due to Curl down 85

Figure 3.56. Contact Pressure of Lean Concrete Base due to Curl up 85

Figure 3.57. Contact Pressure of Lean Concrete Base due to Curl down 86

Figure 3.58. Longitudinal Tensile Stress Contour 87

Figure 3.59. X-dir. Tensile Stress due to Curl up at Path-1-1 87

Figure 3.60. X-dir. Tensile Stress due to Curl down at Path-1 88

Figure 3.61. Y-dir. Tensile Stress due to Curl up at Path-2-1 88

Figure 3.62. Y-dir. Tensile Stress due to Curl down at Path-2 89

Figure 3.63. Deformed shape due to Corner Loading (Single Axle) 90

Figure 3.64. Deformed shape due to Edge Loading (Single Axle) 90

Figure 3.65. Deformed shape due to Interior Loading (Single Axle) 90

Figure 3.66. Displacement Contour due to Corner Loading 91

Figure 3.67. Displacement due to Corner Loading at Path-3 91

Figure 3.68. Displacement due to Edge Loading at Path-3 92

Figure 3.69. Displacement due to Interior Loading at Path-2 92

Figure 3.70. Max Displacement due to Loading Positions 93

Figure 3.71. X-dir. Tensile Stress Contour due to Edge Loading 94

Figure 3.72. Longitudinal Max Tensile Stress due to Loading Positions 94

Figure 3.73. Transverse Max Tensile Stress due to Loading Positions 95

Figure 3.74. Y-dir. Tensile Stress Contour due to Interior Loading 95

Figure 3.75. Deformed Shape due to the Tandem Axle Loading Position 97

Figure 3.76. Displacement of JCP and PCP at Path-1 98

Figure 3.77. Y-dir. Tensile Stress due to Interior Loading at Path-2 98

Figure 3.78. Transverse Max Tensile Stress due to Loading Positions (Single Axle) 99

Figure 4.1. Displacement Difference due to Thickness of Base in case of Curl up 102

Figure 4.2. Displacement Difference due to Thickness of Base in case of Curl down 102

Figure 4.3. PCP Models due to Thickness of Lean Concrete Base 103

Figure 4.4. Displacement due to Curl up at Path-1 104

Figure 4.5. Displacement due to Curl down at Path-1 104

Figure 4.6. Displacement due to Curl up at Path-2 105

Figure 4.7. Displacement due to Curl down at Path-2 105

Figure 4.8. X-dir. Tensile Stress due to Curl up at Path-1-1 106

Figure 4.9. X-dir. Tensile Stress due to Curl down at Path-1 106

Figure 4.10. Y-dir. Tensile Stress due to Curl up at Path-2-1 107

Figure 4.11. Y-dir. Tensile Stress due to Curl down at Path-2 107

Figure 4.12. Max Displacement and Tensile Stress due to Curl up 108

Figure 4.13. Max Displacement and Tensile Stress due to Curl down 108

Figure 4.14. Displacement due to Curl up at Path-1 111

Figure 4.15. Displacement due to Curl down at Path-1 111

Figure 4.16. Displacement due to Curl up at Path-2 112

Figure 4.17. Displacement due to Curl down at Path-2 113

Figure 4.18. X-dir. Tensile Stress due to Curl up at Path-1-1 113

Figure 4.19. X-dir. Tensile Stress due to Curl down at Path-1 114

Figure 4.20. Y-dir. Tensile Stress due to Curl up at Path-2-1 115

Figure 4.21. Y-dir. Tensile Stress due to Curl down at Path-2 115

Figure 4.22. Max Displacement and Tensile Stress due to Curl up 116

Figure 4.23. Max Displacement and Tensile Stress due to Curl down 116

Figure 4.24. Contact Pressure of Soil Base 117

Figure 4.25. Contact Pressure of Lean Concrete Base 118

Figure 4.26. Contact Pressure of Asphalt Base 118

Figure 4.27. Channel Type A 121

Figure 4.28. Channel Type B 122

Figure 4.29. Channel Type C 122

Figure 4.30. PCP Model for Channel Type A 123

Figure 4.31. Model for Channel Type B 123

Figure 4.32. PCP Model for Channel Type C 123

Figure 4.33. Displacement due to Curl up at Path-1 124

Figure 4.34. Displacement due to Curl down at Path-1 124

Figure 4.35. Displacement due to Curl up at Path-2 125

Figure 4.36. Displacement due to Curl down at Path-2 125

Figure 4.37. X-dir. Tensile Stress due to Curl down at Path-1 126

Figure 4.38. Y-dir. Tensile Stress due to Curl down at Path-2 126

Figure 4.39. Channel Grout Hole and Air Vent Hole 128

Figure 4.40. Displacement due to Curl up at Path-1 130

Figure 4.41. Displacement due to Curl down at Path-1 130

Figure 4.42. Displacement due to Curl up at Path-2 131

Figure 4.43. Displacement due to Curl down at Path-2 131

Figure 4.44. X-dir. Tensile Stress due to Curl up at Path-1-1 132

Figure 4.45. X-dir. Tensile Stress due to Curl down at Path-1 132

Figure 4.46. Y-dir. Tensile Stress due to Curl up at Path-2-1 133

Figure 4.47. Y-dir. Tensile Stress due to Curl down at Path-2 133

Figure 4.48. Max Displacement and Tensile Stress due to Curl up 134

Figure 4.49. Max Displacement and Tensile Stress due to Curl down 134

Figure 5.1. A Case of Curl down during Construction 140

Figure 5.2. A Case of Curl up during Construction 140

Figure 5.3. Calculation Procedure of Final Displacement 141

Figure 5.4. Final Displacement due to Curl down during Construction 141

Figure 5.5. Lifting Guide Frame 143

Figure 5.6. Type A 144

Figure 5.7. Type B 144

Figure 5.8. Type C 145

Figure 5.9. Type D 145

Figure 5.10. 3D Frame Model for Design of Lifting Guide Frame 146

Figure 5.11. Section Force of Type A(L:A.F.D, R:B.M.D) 146

Figure 5.12. Section Force of Type B(L:A.F.D, R:B.M.D) 147

Figure 5.13. Section Force of Type C(L:A.F.D, R:B.M.D) 147

Figure 5.14. Section Force of Type D(L:A.F.D, R:B.M.D) 147

Figure 6.1. Variety of D-PCP 154

Figure 6.2. PCP Model 155

Figure 6.3. D-PCP Model 155

Figure 6.4. D-PFRCP System 157

Figure 6.5. Elastic Modulus of SFRC due to Fiber Contents 158

Figure 6.6. Displacement due to Curl up at Path-1 159

Figure 6.7. Displacement due to Curl down at Path-1 159

Figure 6.8. Displacement due to Curl up at Path-2 160

Figure 6.9. Displacement due to Curl down at Path-2 160

Figure 6.10. X-dir. Tensile Stress due to Curl up at Path-1-1 161

Figure 6.11. X-dir. Tensile Stress due to Curl down at Path-1 161

Figure 6.12. Y-dir. Tensile Stress due to Curl up at Path-2-1 162

Figure 6.13. Y-dir. Tensile Stress due to Curl down at Path-2 162

Figure 6.14. Max Displacement and Tensile Stress due to Curl up 163

Figure 6.15. Max Displacement and Tensile Stress due to Curl down 163

Figure 6.16. Displacement Contour due to Comer Loading 165

Figure 6.17. Displacement due to Comer Loading at Path-3 165

Figure 6.18. Displacement due to Edge Loading at Path-3 166

Figure 6.19. Displacement due to Interior Loading at Path-2 166

Figure 6.20. Max Displacement due to Loading Positions 167

Figure 6.21. X-dir. Tensile Stress Contour due to Edge Loading 168

Figure 6.22. Longitudinal Max Tensile Stress due to Loading Positions 168

Figure 6.23. Transverse Max Tensile Stress due to Loading Positions 169

Figure 6.24. Y-dir. Tensile Stress Contour due to Interior Loading 169

Figure 6.25. D-PPECP System 171

Figure 6.26. Displacement due to Curl up at Path-1 173

Figure 6.27. Displacement due to Curl down at Path-1 173

Figure 6.28. Displacement due to Curl up at Path-2 174

Figure 6.29. Displacement due to Curl down at Path-2 174

Figure 6.30. X-dir. Tensile Stress due to Curl up at Path-1-1 175

Figure 6.31. X-dir. Tensile Stress due to Curl down at Path-1 175

Figure 6.32. Y-dir. Tensile Stress due to Curl up at Path-2-1 176

Figure 6.33. Y-dir. Tensile Stress due to Curl down at Path-2 176

Figure 6.34. Max Displacement and Tensile Stress due to Curl up 177

Figure 6.35. Max Displacement and Tensile Stress due to Curl down 177

Figure 6.36. Displacement Contour due to Comer Loading 179

Figure 6.37. Displacement due to Comer Loading at Path-3 179

Figure 6.38. Displacement due to Edge Loading at Path-3 180

Figure 6.39. Displacement due to Interior Loading at Path-2 180

Figure 6.40. Max Displacement due to Loading Positions 181

Figure 6.41. X-dir. Tensile Stress Contour due to Edge Loading 182

Figure 6.42. Longitudinal Max Tensile Stress due to Loading Positions 182

Figure 6.43. Transverse Max Tensile Stress due to Loading Positions 183

Figure 6.44. Y-dir. Tensile Stress Contour due to Interior Loading 183

Figure 6.45. D-PLMCP System 185

Figure 6.46. Displacement due to Curl up at Path-1 186

Figure 6.47. Displacement due to Curl down at Path-1 186

Figure 6.48. Displacement due to Curl up at Path-2 187

Figure 6.49. Displacement due to Curl down at Path-2 187

Figure 6.50. X-dir. Tensile Stress due to Curl up at Path-1-1 188

Figure 6.51. X-dir. Tensile Stress due to Curl down at Path-1 188

Figure 6.52. Y-dir. Tensile Stress due to Curl up at Path-2-1 189

Figure 6.53. Y-dir. Tensile Stress due to Curl down at Path-2 189

Figure 6.54. Max Displacement and Tensile Stress due to Curl up 190

Figure 6.55. Max Displacement and Tensile Stress due to Curl down 190

Figure 6.56. Displacement Contour due to Corner Loading 192

Figure 6.57. Displacement due to Corner Loading at Path-3 192

Figure 6.58. Displacement due to Edge Loading at Path-3 193

Figure 6.59. Displacement due to Interior Loading at Path-2 193

Figure 6.60. Max Displacement due to Loading Positions 194

Figure 6.61. X-dir. Tensile Stress Contour due to Edge Loading 195

Figure 6.62. Longitudinal Max Tensile Stress due to Loading Positions 195

Figure 6.63. Transverse Max Tensile Stress due to Loading Positions 196

Figure 6.64. Y-dir. Tensile Stress Contour due to Interior Loading 196

초록보기

 본 연구에서는 프리캐스트 콘크리트 포장(PCP: Precast Concrete Pavement) 공법의 이론적 기반을 다지기 위해 그 동안 수행되지 않았던 PCP에 대한 상세한 3차원 유한요소모델(3D Finite Element Model)을 개발하였고, 이를 이용한 수치해석을 통해 PCP의 구조적 거동을 분석하였다. PCP 모델 개발은 ABAQUS/CAE를 사용하였으며, 전 요소에 대하여 3차원 선형요소를 적용하여 해석을 수행하였다.

PCP 모델의 검증을 위해 Closed Form Solution과 현장 실측자료를 비교 분석하여 모델의 적정성을 검토하였다. Closed Form Solution은 Bradbury의 Warping Stress Equation을 이용하였으며, PCP 모델에 의한 결과와 95% 이상의 일치를 보였다. 그리고 현장 실측자료는 영동고속도로 폐도구간 PCP 보수 시험시공 계측자료를 이용하였으며, 실물 조건에 따른 차이를 감안하면 PCP 모델이 어느 정도 합리적인 값을 보이고 있음을 확인하였다.

개발된 PCP 모델을 이용하여 린콘크리트(Lean Concrete) 두께가 PCP 슬래브의 컬링거동(Curling Behavior)에 미치는 영향을 분석하였고, 기층의 종류에 따른 구조거동의 차이를 분석하였다. 또한 PCP 하부 채널의 형상 및 충전재의 종류에 따라 수치해석을 수행하여 PCP 최적 설계를 위한 주안사항(Recommendations)을 제시하였다. 그리고 시공 중 외기온도가 시공 후 컬링거동에 미치는 영향에 대해 분석하여 시공 시 외기온도의 영향에 대한 주안사항을 제시하였다. 또한, PCP 시공 시 안전성 확보를 위한 연구로써 Lifting Guide Frame에 대해 Type별 구조해석을 수행하고, 설계표준화를 실시하여 PCP 시공 시 활용 가능한 자료를 제시하였다.

마지막으로, 새로운 PCP 기술로 섬유보강 콘크리트(FRC), 폴리에스터 콘크리트(PEC), 라텍스 개질 콘크리트(LMC)를 PCP 슬래브에 적용한 D-PCP(Double-layered Precast Concrete Pavement) 기술을 제안하였다. 그리고 PCP 모델을 이용하여 환경하중과 차량하중 작용 시 D-PCP의 구조적 거동을 PCP와 비교 분석하였으며, 향후 추가 연구 개발을 통한 실용화 가능성을 확인하였다.

참고문헌 (30건) : 자료제공( 네이버학술정보 )

참고문헌 목록에 대한 테이블로 번호, 참고문헌, 국회도서관 소장유무로 구성되어 있습니다.
번호 참고문헌 국회도서관 소장유무
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7 Evaluation of Pavement Rehabilitation Using Precast Concrete Slabs and Slab Connection methods 소장
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14 Optimum Slab-Lifting Positions for Precast Concrete Pavement Construction 소장
15 Features of Critical Tensile Stresses in Jointed Concrete Pavements under Environmental and Vehicle Loads 소장
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17 Experimental Analysis of Curling Behavior of Concrete Slabs on Grade under Temperature Loading and Underlying Layers' Effects 소장
18 p,p′-DDE fails to reduce the competitive reproductive fitness in Nigerian male guppies 네이버 미소장
19 p,p′-DDE fails to reduce the competitive reproductive fitness in Nigerian male guppies 네이버 미소장
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24 Design Methodology of Gap Slab for Post-Tensioned Prestressed Concrete Pavement 소장
25 (2008). ‶Laboratory Testing for Producing of the Colored Precast Concrete Panel for the Road Pavement″, Journal of the Korean Society of Civil Engineers Conference, pp. 3426-3429. 미소장
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28 Precast/Prestressed Concrete Institute (1985). PCI Design Handbook - Precast and Prestressed Concrete, Precast/Prestressed Concrete Institute, Chicago, Illinois, 3rd edition. 미소장
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30 Sensitivity Analysis of 3-Dimensional FE Models for Jointed Concrete Pavements 소장