边坡稳定分析的极限平衡法,是土力学中的一个经典的领域

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7 7. 1 5 6 7. 2 7. 2. 1 1) 2) 7. 2. 2 Q c uu φ uu τ = c uu + σ tanφ uu (7.1) 5.3.2 5.8 5.9(b) 5 φ =0 c q cu q cu c =τ = (7.2) 2 STAB (7.1)

182 c uu φ uu (7.2) q cu q cu x,y STAB q cu 7. 2. 3 τ = c + ( σ u) tan φ c φ Q S 6 STAB q cu [7.1] 1. 167m (7.3) 70 m 6.5 7 8 1 2. 7.1 1 1B 7. 1 CD CU UU (kn/m 3 ) φ ( ) (kpa) 19.6 20.3 19.4 14 7.4 2A 2B 2C 3 4A 4B 21.1 23 40 0 5 20.8 21.7 28 30 22.2 22.2 33 0 17.6 17.6 0 0 26 26 35 0 T 1 1 20.1 20.7 14.04 5 3. 20 25 73

7 183 7.1 UU 230m, 250m, 265m 1.707 1.963 2.190 7.1(a) 11 12 13 230m 250m y4 y5 1.424 1.436 7.1(b) 7. 1 (a) (b) 4. 6.3.3 2.430 2.617 X250 1X250 2 [7.2] BR 8 3.6 7.2 BR 8 3.6 1

184 7. 2 BR-8 1.33 1.21 1.15 1.33 1.36 1.30 1.23 1.18 1.02 c 0 0.81 0.59 φ 35 0.56 c 0 1.19 1.03 φ 35 0.98 [7.3] 20m 40m, 90m 7.2 7. 2 mm m 4 4 1) 2) 5m 3) 2.5m 4) 7.3 90m

7 185 7. 3 kpa 7.3 7.4 Bishop 7.4(a), (b)(c) 0.954, 0.805 0.741 13.1 7. 3 (kpa) 12.2 13.3 11.9 19.6 24.8 17.8( ) 13.8( ) 14.0 17.7 14.1( ) 11.4( ) 7. 4 γ d (kn/m 3 ) w (%) γ sat (kn/m 3 ) S r (%) c (kpa) φ ( ) C cu (kpa) φ cu ( ) I 15.9 24.5 19.8 100 15 30.0 5 18 II 17.0 20.9 20.6 100 40 30.0 5 18 17.0 17.2 19.9 82 30 28 8 21 17.6 5.0 18.5 26.7 0 30.0 0 30 9.0 30 11.7 47.2 20 31.0 7 23 1.1 7. 3 7. 4 (a) (b) (c) 1990

186 (1) {σ n } o { } σ, (2) {σ n } o (5.19) (5.20) { τ } φ = 0, f n f c = τ {σ n } 1 {σ n } o {σ n } o (5.19) τ (5.20) Bishop φ [7.4] 8 c = 0, φ = 40 7.5 1.113 φ 0 = 50, φ = 10 7.5 D s A B C D F = 1.766 [7.5] Charles Charles(1984) e (5.19) 7. 5 7.6 Γ ( 1 b ) / f = F( γ H ) A (7.4) γ H F A b (5.19) 7.6 (7.4) cotβ H F STAB cotβ = 1 1.5 A=7.0 b = 0.8 0.7 0.6 0.5

7 187 7.6 Charles STAB 7. 6 Charles 7. 4 7. 4. 1 5 6 7. 4. 2 6.4.3 (6.13) 6.4.4 [7.6]

188 6.4.4 7.5 n e = 0.186 K = 21.86 m/ 7.6 7.7 7.8 2005 m 1975m 7. 7 7. 8 7. 5 0 1 2 3 4 5 m 2005.00 1990.20 1985.00 1981.00 1977.40 1975.00 7. 6 1 0 1 2 3 4 5 2 (m) 2005.0 1990.2 1985.0 1981.0 1997.4 1975.0 3 H D (m) 14.80 20.00 24.00 27.60 30.00 4 V(m/) 14.80 10.00 8.00 6.90 6.00 5 PD = K / nev 7.94 11.75 14.69 17.03 19.59 6 b = cot β 6.25 1.80 1.80 1.80 1.80 1.80 H D H D 7 x = (%) 30 25 23 22 21 H D 8 H D = ( 1 x) H D (m) 10.36 15.00 18.48 21.53 23.70 9 (m) 1994.64 1990.0 1986.52 1983.43 1981.30

7 189 7. 4. 3 5 5, 1984, 1985 5 σ c τ f 1) (5.15) 2) (5.15)φ 5.3.3 1)2) σ < σ t S 5.9(a) S σ σ R σ c t 2) V1 10 STAB STAB Ο [7.7] 7.9 R c cu = 1.2 /[ ] 2 φ cu = 16 S φ d = 0 φ d = 30 7.9 R S σ σ t = 4.13 /[ ] 2 (1) σ t S (2) σ t R S τ f 0, c Ο 1 =0.305m, 1=4.448N

190 7.9 ABC 5 6 7 8 t R σ 7. 9 R (3) N D 7.7 4 4 STAB 2.236 2.18 (4) N (5.15) τ f 1 4 9 11 S φ d = 30 φ d = 0 5 8 R φcu = 16 c cu = 1.2 7.8 3 4 D 7.8 1 5 7.7 4 2 (457.8+126.5)R 584.3R R 7.7 7 474.5R : F = 584.3R / 474.5R = 1.23 STAB 1.226 [7.8] 7.1 275m 250m 7.10

7 191 7. 7 1 2 3 4 L () () ( ) (/ 2 ) STAB STAB STAB STAB 1 2 3 4 5 6 7 8 9 10 11 35.9 72.1 70.5 134.0 129.0 128.5 118.0 106.6 106.6 73.3 30.4 35.0 71.7 70.2 133.0 128.7 127.4 116.2 105.7 105.1 72.8 30.1 51.5 118.6 124.5 247.8 230.7 212.9 183.8 160.7 154.2 103.1 41.7 50.63 118.39 124.62 247.27 231.37 213.04 183.92 160.53 154.94 102.9 41.60 40.0 29.0 20.6 33.5 28.0 27.0 25.4 25.0 30.2 31.0 36.1 41.0 29.07 20.61 33.7 28.5 27.1 25.3 25.02 30.12 30.8 36.0 35.0 67.0 64.0 122.0 123.0 123.0 119.0 114.0 123.0 99.0 45.0 35.6 65.7 64.4 121.7 118.4 120.8 123.8 113.3 124.7 69.38 47.5 7. 8 1 2 3 4 5 6 7 tanφ N N D ( ) D tanφ c L sinφ Wsinφ W ( ) 1 35 51.5 0.831 42.8 2 67 118.6 0.728 86.3 3 64 124.6 0.643 80.1 4 122 247.8 0.530 131.3 1-4 288 0.577 166.2 0 5 123 93.9 6 123 230.7 0.407 59.8 7 119 212.9 0.281 28.5 8 114 183.8 0.155 6.1 5-8 479 0.287 137.5 126.5 160.7 0.038 188.3 9 123-13.4 10 99 154.2-0.087-24.6 11 45 103.1-0.239-16.3 9-11 267 0.577 154.1 0 41.7-0.391-54.3 457.8 126.5 474.5 7. 10 1 F = 2.215 2 F m = 1.827

192 7. 5 7. 5. 1 x y (1) 4.5.9 i Fi = ahξgeiαi / g F i i ξ 0.25 G Ei i α i i g (2) 5.1.3 i α i 7.11 7.11 α m 7 8 9 3.0 2.5 2.0 (7.5) 7. 11 α i (a) 40m (b) > 40m (3) 4.3.1 a h 7 8 9 0.1g 0.2g 0.4g (4) 4.3.2 a v 2/3 4.1.8 0.5 STAB 4

7 193 7. 5. 2 (K c = σ 1 /σ 3 ) (K c = 1) 5.6 (5.18), 7.12 Seed (1966) σ K c Seed Lowe Lowe σ K c (5.18) φ 0 c = τ fs [7.9] τ fs 7. 12 (<5 mm ) [7.9] 1976 7.12 STAB 7 1 7.13 2.093 σ τ fo fo 7.9 τ 7.9 τ, 7 fs c = τ, φ 0 F 1.022 fs fs

194 7. 13 7. 9 [7.9] τ fs 9.8kN/m 2 1 2 3 4 5 6 7 8 9 σ fo 0.684 1.877 2.708 3.151 3.195 3.584 3.081 2.155 0.791 τ fo 0.212 0.583 0.840 0.978 0.991 1.112 0.956 0.669 0.246 τ fs 0.260 0.713 1.020 1.197 1.213 1.361 1.170 0.818 0.301 2 1 7.14 2 7 2.142 τ 7.10 τ 7 1.028 fs 1 fs 7. 14

7 195 7. 10 [7.9] τ fs 9.8kN/m 2 1 2 3 4 5 6 7 8 9 σ fo 1.712 2.246 2.929 4.568 4.786 5.004 5.222 5.441 6.267 τ fo 0.520 0.682 0.889 1.387 1.453 1.520 1.586 1.652 1.903 τ fs 0.637 0.836 1.090 1.700 1.781 1.862 1.943 2.025 2.332 10 11 12 13 14 15 16 17 σ fo 6.718 7.472 6.332 5.173 4.023 2.874 1.724 0.575 τ fo 2.040 2.269 1.920 1.571 1.222 0.873 0.524 0.175 τ fs 2.500 2.782 2.353 1.925 1.497 1.069 0.642 0.214 [7.10] 1999 7.16 7 5.22 STAB σ 3 7.15 F = 1.137 K c τ 7.16 7.7 10 fs 7. 15 σ 3 K c τ f 7. 16

196 7. 6 7. 6. 1 7.11 7. 11 07-01-01 X250-1.DAT [7.1], 07-01-02 X250-2.DAT [7.1] 07-01-03 11.DAT [7.1] 230m 07-01-04 12.DAT [7.1] 250m 7.2.2 07-01-05 13.DAT [7.1] 265m 07-01-06 Y4.DAT [7.1] 230m 07-01-07 Y5.DAT [7.1] 250m 07-02-01 Z3-D.DAT [7.3] 07-02-02 Z5.DAT [7.3] 07-02-03 Z6.DAT [7.3] 07-03-01 NL-10_5.DAT [7.5] cotβ = 1.0, b = 0.5 07-03-02 NL-10_6.DAT [7.5] cotβ = 1.0, b = 0.6 07-03-03 NL-10_7.DAT [7.5] cotβ = 1.0, b = 0.7 7.3 07-03-04 NL-10_8.DAT [7.5] cotβ = 1.0, b = 0.8 07-03-05 NL-15_5.DAT [7.5] cotβ = 1.5, b = 0.5 07-03-06 NL-15_6.DAT [7.5] cotβ = 1.5, b = 0.6 07-03-07 NL-15_7.DAT [7.5] cotβ = 1.5, b = 0.7 07-03-08 NL-15_8.DAT [7.5] cotβ = 1.5, b = 0.8 7.4.2 07-04-01 GBX2E.DAT [7.6] 7.4.3 07-05-01 CORPS.DAT [7.7] 7.4.3 07-06-01 8.DAT [7.8] 7.5.2 07-07-01 MIYUN-2.DAT [7.9] 1 U. S. Army Corps of Engineers. Stability of slopes and foundations. Engineering Manual. Visckburg, 1967 2.. SL203-97. 1997 3 Charles, J. A. and Soares, M. M. Stability of compacted rockfill slopes. Geotechnique, 1984. 34( 1): 61-76 4.. 1990. 9 9-13 5.. 1985. 9 30-32 6.. 1984 1-6 7. 1985 8. 9.. 1984 10.. 1991