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1 Study on Retaining Wall Design For Circular Deep Shaft Undergoing Lateral Pressure During Construction

2 Study on Retaining Wall Design For Circular Deep Shaft Undergoing Lateral Pressure During Construction

3

4

5

6 m 510 2

7 1020 K ) 5),12),13) 14),15),16),17) 3

8 1-2 1),2),3),4),10),11), 18),19) 4

9 GL-80m 8 5

10

11 7

12 8

13 9

14

15 LNG LPG 1980 GL-50m 1) 11) 12)15) 16)19) 9),14),20) 11

16 1987 1) ) 1996 Beresantsev 1/10 3),4) m m 72.92m 0.6 5) m 55.58m 0.6 6) 12

17 1987 7) 50m ) P 37m 1.5m 76m A 85m 63.5m 0.27 GL-30m GL-60m 9) ) )

18 14

19 m (2.1) 12) h(y)=h1 0.35y y (2.1) h(y) kn/m 3 h1 1cm kn/m ) m 60m 14) 17m 50m 4m8m20m50m (2.2) 15) he 1 2 R (2.2) h kn/m 3 E kn/m 2 R m 15

20 40m 5),12),21)26) 50m 9),14),20) 16

21 8), 23) 11),14) 7m 24),25) 9),14),20) 17

22 25),26) 27) 25),26) 28) 18

23 40m 50m 19

24 20

25 21

26 22

27

28 50m 40 50m 50m 24

29 1982 1) ) 3) ) ) 5) 70m

30 26

31 27

32 28

33

34 30

35

36 4-1 32

37 4-2 A A A A 200m 3 /s 131m 36.6m 2.1m 72.6m

38 GL-5.5m 10 cm/sec s6 10 cm/sec 6m 2.5m 17.5m 3.3m 6.0m 34

39 GL-72.6m 15.2m 35

40 45 GL-96.8m 10m GL-22.8m GL-68.6m 36

41 GL-59.3m GL-68.6m GL-80.3m 37

42 300kPa GL-59.3m GL-47.0m GL-68.6m 38

43 39

44 GL-68.6m Ds6 GL-80.3m 100kPaDs7 GL-95.3m 30kPa Ds6 GL-80.3m 150kPa Ds7 GL-95.3m 160kPa Ds5 GL-68.6m Ds6 GL-80.3m 280kPaDs7 GL-95.3m 250kPa Ds6 200kPa 300kPa 40

45 GL-80.3m 300kPa 11mm 6mm 41

46 0.2 70m 140kPa (2) 3) 3) 36.6m 42

47 10 10 cm/sec GL-50m 158m /day 230m /day GL-102.6m GL-131m 20m Dc8 Dc9 Ds11 Ds11 43

48 44

49 NDW-14 NDW-14 GL-80.3m 834.5kPa 556.2kPa 6.33m 2.4m

50 46 C GL-80.6m DW DW

51 4 Compensation Plane Compensation Plane Compensation Plane Compensation Plane 47

52 N/mm

53 Compensation Plane Compensation Plane 49

54 50

55

56 % 0.5 No mm mm 170 2m 52

57 53

58 10 10 cm/sec 0.4mm 2.0m 6 7 Q = K ( t t Hρ K = 12σηD Q k = LD 0 ) 3.2 (4.1) (4.2) (4.3) ' cm3/sec cm 0.04cm cm 0.002cm cm 7260cm cm 210cm Nsec/cm Nsec/cm N/cm N/cm cm/sec 54

59 cm 200cm (1) ' = 1.15cm 3 /sec cm/sec 2 k = Aw k k = ( L w) + B (4.4) (4.5) ' cm/sec cm /cmsec cm/sec cm/sec cm '0.26cm/sec cm/sec (1) 230m /day GL-57.4m GL-102.6m Ds5Ds m 55

60 Ds5 Ds7 3 56

61 150m 5cm 230m /day cm/sec Ds6 570kPa 556.2kPa A D 595kPa 625kPa 659.6kPa 691.1kPa C C C C A D 57

62 600kPa 650kP 200kPa 200kPa 160kPa 200kPa 300kPa 400kPa 500kPa 570kPa C 600kPa A D Ds6 10 cm/se 10kPa 58

63 59

64 10 cm/sec DW DW 60

65 LNG FEM FEM 61

66 - cm/sec 62

67 63

68

69 65 50m 1)

70 66

71 67

72 AE k r = 2 r r MN/m 2 /m MN/m 2 A m 2 k r p + p = 2 4 pr pr + AE 12 r 4 ( EI k ) s r MN/m 2 /m s MN/m 3 MN/m 2 A m 2 m 4 MPa MPa 68

73 69

74 5) 70

75 1/2 4) 71

76

77 -2 73

78 74

79 -1 75

80 -2 76

81 Winkler 77

82 78

83 79

84 80

85 81 (1)

86 (2) a) b) c) 82

87

88

89 85

90 86 50m 70m

91 1),2) 3) 4) 10m 6) 7) 1) 10m 70m 0.8m2.8m 8) 2m 87

92 140m 2.0m 24N/mm 2. 4), 10% 88

93 FEM 0.5m0.5m m32 20m64 30m96 Z Y X 89

94 a) 10m 20m 30m b) 90

95 91

96 92 -

97 MNm 93

98 94

99 70m 2m 70m 140m 2.0m 24N/mm 2 4), 10% 95

100 10m20m30m 20MN/m 3 96

101 a) 10m. 20m 0 30m

102 10m 20m 98

103 30m 99

104 b) 10m 20m m

105 101

106 102

107 c) d) 10m 20m 30m 10m 20m 30m 103

108 10m 20m 90 20m 5 104

109 (2) 70m, 20m a) 0 200MN/m 3 200MN/m 3 200MN/m MN/m 3 200MN/m 3 105

110 0 106

111 107

112 b) 200MN/m 3 90% 60 c) 200MN/m 3 5MN/m 3 20MN/m 3 200MN/m 3 108

113 5MN/m 3 20MN/m 3 200MN/m 3 109

114 200MN/m 3 5MN/m 3 20MN/m 3 20MN/m 3 200MN/m

115 20MN/m 3 10m 20m 30m 111

116 a) 10m 4 20m 30m 0 112

117 10m 20m 113

118 30m 114

119 b) 10m 20m 30m 20m 20m 115

120 116

121 117

122 10m 20m 30m 10m m 10m m

123 119

124 20m 70m 20m 20 1) 20 70m 120

125 70m, 20m 200MN/m 3 200MN/m 3 121

126 122

127 123

128 70m 20MN/m 2 10m20m30m a) 10m 20m 30m 124

129 10m 20m 125

130 30m mm 126

131 b) 10m m 10 30m

132 10m 20m 128

133 30m 129

134 c) 10m 20m 10m 30 30m m 130

135 ( 10m) ( 20m) 131

136 ( 30m) 132

137 d) 10m 20m 30m 10m 10 20m 10m m 35 10m 20m 30m 133

138 10m 20m 20m

139 10% 135

140

141 a) 90 10m 30m 70m 10m 0 20m m 0 50m 137

142 138

143 139

144 b)

145 141

146 142

147 ) m -0.41MNm -0.21MNm 143

148 144

149 145

150 d) 10m 20m 0 10m 20% 20m 30m

151 10m 20m 147

152 30m 148

153 10m 20m 149

154 30m 150

155 e) 10m 5% % 30m 2.7% 10m 10m 10m 151

156 10m 5% 20m 30m

157 (1) 10m 10m

158 20m 70m 70m

159 20m 155

160 No.541,pp87-98, pp , pp , pp ,

161

162 50m 158

163 1) 50m 250mm 240mm 4.0mm 159

164 160

165 2) 10m 2) 161

166 200kPa 160kPa 2) 120mm

167 mm 40mm 40mm AD 163

168 164

169 a) 1 D 2 A C D B A C B D A C B D 165

170 166

171 N 167

172 b) A C B D 1 A C B D A C B D A C B D 2 A C B D A C B A D C 168

173 169

174 Nmm 170

175 3 24N 17N A C 171

176 3 172

177 No.541,pp87-98,

178

179 175

180 176

181 177

182 1) (8.4) k 3 Ds = H (8.1) y y 1 2 h y = f + ( A A + A A ) EIβ 3 Hh 3EI (8.2) y 2 1 = 2EIβ 3 [ e βl ( A cosβl + A βl + e ( A cosβl + A sin βl) sin βl)] (8.3) 1 f = EIβ ( A A ) 3 (8.4) 3Ds MN/m H MN m (m) 1 m 178

183 2 m m MN/m 2 m 4 A1A2A3A4 1/m H 2 βl 4 βl A = [(1 sin 2βl) e e ] 1 βhh [(cos 2βl + sin 2βl) e 2 βl e 4 βl ] (8.5) H 2βl A = [(1 cos2βl) e ] 2 βhh [(2 cos2βl + sin 2βl) e 2 βl e 4 βl ] (8.6) H 2 βl A = [1 (1 + sin 2βl) e ] 3 βhh + [1 (cos 2βl + sin 2βl) e 2 βl ] (8.7) H 2 βl A = [(1 cos 2βl) e ] 4 βhh [1 (2 cos 2βl + sin 2βl) e 2 βl ] (8.8) = βl 4 βl ( 2 cos 2βl ) e + e (8.9) (8.10) 179

184 h = k π β R1 (8.10) l = k π β R 2 (8.11) 0.5 R1 R2 180

185 70m 20MN/m 2 10m20m30m 181

186 a) 10m 20m 30m

187 10m 20m 183

188 30m mm 184

189 b) 10m 20m 30m 185

190 10m 20m 186

191 30m MN 187

192 c) 10m 20m 3 30m 188

193 10m) 189

194 190

195 d) 10m 20m 30m 10m 20m 10m 8 30m 7% 10m 20m 30m 191

196 2 20MN/m 2 30m m 30m 192

197

198 ( d x) θ = ω / { 4c + 0.7( C s φ) } σ se / Es ω = κ { c + 0. ( C φ) } Kθ = M θ = Es I cr κn 4 7 s 194

199 E k = 3.7D ν c 2 ( 1 ) c (8.16)QKi i s s 3 K = Q δ 2E I β β = 4 kd 4E I s s Q Is Ks Ks 1K1+2K2/ Ks 1 K1 2 K2 195

200 20m 30m 196

201

202

203 (1)

204 (2) - cm/sec 200

205 (3) 10m 10m

206 20m 70m 70m 202

207 10 20m (4) 203

208 (5) 20m 30m 204

66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI

66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI 65 8. K 8 8 7 8 K 6 7 8 K 6 M Q σ (6.4) M O ρ dθ D N d N 1 P Q B C (1 + ε)d M N N h 2 h 1 ( ) B (+) M 8.1: σ = E ρ (E, 1/ρ ) (8.1) 66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3)

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8 300 mm 2.50 m/s L/s ( ) 1.13 kg/m MPa 240 C 5.00mm 120 kpa ( ) kg/s c p = 1.02kJ/kgK, R = 287J/kgK kPa, 17.0 C 118 C 870m 3 R = 287J 26 1 22 10 1 2 3 4 5 6 30.0 cm 1.59 kg 110kPa, 42.1 C, 18.0m/s 107kPa c p =1.02kJ/kgK 278J/kgK 30.0 C, 250kPa (c p = 1.02kJ/kgK, R = 287J/kgK) 18.0 C m/s 16.9 C 320kPa 270 m/s C c p = 1.02kJ/kgK, R = 292J/kgK

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