2 m 1.5 m 3 m 8 m A B 4 m 3 m C 4 m 2.5 m 2.5 m Y(1) = 16.0 kN/m³ =26° Y(2) = 19.0 kN/m³ (2) = 28° Y(3) = 19.0 kN/m³ (3)=30° Fig. 2 8. Explain the phenomena of "bottom heave" and "piping" during a cut. Bearing capacity equation: q=cNFFF+NFFF+0.5BN F F F Equations and Tables: K. 1-sino' K₁ = 0.95-sin ' Shape factors by De Depth factors by Hansen (1970) Inclination factors by Meyerhof (1963) Beer (1970) and Hanna and Meyerhof (1981) LN Fo=1+(x) F =1+(-) tan 6 F =1+0.4(+) B F₁ =1+2 tan ø'(1-sin ø')² | F, = (1- B F₁ = F₁₂ = (1-B 90° F, =1-0.4() F₁ =1 Table 4.2 Bearing Capacity Factors NE Na Ny N N N K o(overconsolidate) K o(normally consolidated) √OCR 0 5.14 1.00 0.00 1 5.38 1.09 0.07 2 5.63 1.20 0.15 K = tan² (45-%) 34567 5.90 1.31 0.24 6.19 1.43 0.34 6.49 1.57 0.45 21 6.81 1.72 0.57 7.16 1.88 0.71 K₁ = cosa-√cos a-cos² ' =COS& K, cosa + √cos² a-cos² o' 8 7.53 2.06 0.86 =COS& 9 7.92 2.25 1.03 cosa + √cos² a-cos² ' Cosa – -√cos² cos² a-cos² ' 10 8.35 2.47 1.22 11 8.80 2.71 1.44 27 12 9.28 2.97 1.69 K sin² (B+) 13 sin ẞ sin(ẞ-8)[1+ sin('+5) sin(-a)2 sin(B-8) sin(a+B)" 14 15 345 9.81 3.26 1.97 10.37 3.59 2.29 10.98 3.94 2.65 SERDAR2222222223 16 11.63 4.34 3.06 17 12.34 4.77 3.53 18 13.10 5.26 4.07 19 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 18.05 8.66 8.20 24 19.32 9.60 9.44 25 20.72 10.66 10.88 26 22.25 11.85 12.54 23.94 13.20 14.47 28 25.80 14.72 16.72 29 27.86 16.44 19.34 30 30.14 18.40 22.40 31 32.67 20.63 25.99 (continued) K₁ sin(B-) Table 4.2 Bearing Capacity Factors (Continued) sin ẞ sin(B+)[1- sin('+) sin('+a)₁₂ Vsin(+6) sin(a + ẞ) $' No Na N₁ φ' No N₁₂ Ny 32 35.49 23.18 30.22 42 93.71 85.38 155.55 33 38.64 26.09 35.19 43 105.11 99.02 186.54 34 42.16 29.44 41.06 44 118.37 115.31 224.64 35 46.12 33.30 48.03 45 133.88 134.88 271.76 36 50.59 37.75 56.31 46 152.10 158.51 330.35 37 55.63 42.92 66.19 47 173.64 187.21 403.67 38 61.35 48.93 78.03 48 199.26 222.31 496.01 39 67.87 55.96 92.25 49 229.93 265.51 613.16 40 75.31 64.20 109.41 50 266.89 319.07 762.89 41 83.86 73.90 130.22

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter14: Lateral Earth Pressure: Curved Failure Surface
Section: Chapter Questions
Problem 14.15P: The cross section of a braced cut supporting a sheet pile installation in a clay soil is shown in...
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I need detailed explanation solving this exercise from Foundation Engineering, step by step please.

2 m
1.5 m
3 m
8 m
A
B
4 m
3 m
C
4 m
2.5 m
2.5 m
Y(1) = 16.0 kN/m³
=26°
Y(2) = 19.0 kN/m³
(2) = 28°
Y(3) = 19.0 kN/m³
(3)=30°
Fig. 2
8. Explain the phenomena of "bottom heave" and "piping" during a cut.
Bearing capacity equation: q=cNFFF+NFFF+0.5BN F F F
Equations and Tables:
K. 1-sino' K₁ = 0.95-sin '
Shape factors by De
Depth factors by Hansen (1970)
Inclination factors by Meyerhof (1963)
Beer (1970)
and Hanna and Meyerhof (1981)
LN
Fo=1+(x)
F =1+(-) tan 6
F =1+0.4(+)
B
F₁ =1+2 tan ø'(1-sin ø')² | F, = (1-
B
F₁ = F₁₂ = (1-B
90°
F, =1-0.4()
F₁ =1
Table 4.2 Bearing Capacity Factors
NE
Na
Ny
N
N
N
K
o(overconsolidate)
K
o(normally consolidated)
√OCR
0
5.14
1.00
0.00
1
5.38
1.09
0.07
2
5.63
1.20
0.15
K = tan² (45-%)
34567
5.90
1.31
0.24
6.19
1.43
0.34
6.49
1.57
0.45
21
6.81
1.72
0.57
7.16
1.88
0.71
K₁ =
cosa-√cos a-cos² '
=COS&
K,
cosa + √cos² a-cos² o'
8
7.53
2.06
0.86
=COS&
9
7.92
2.25
1.03
cosa + √cos² a-cos² '
Cosa –
-√cos²
cos² a-cos² '
10
8.35
2.47
1.22
11
8.80
2.71
1.44
27
12
9.28
2.97
1.69
K
sin² (B+)
13
sin ẞ sin(ẞ-8)[1+
sin('+5) sin(-a)2
sin(B-8) sin(a+B)"
14
15
345
9.81
3.26
1.97
10.37
3.59
2.29
10.98
3.94
2.65
SERDAR2222222223
16
11.63
4.34
3.06
17
12.34
4.77
3.53
18
13.10
5.26
4.07
19
13.93
5.80
4.68
20
14.83
6.40
5.39
15.82
7.07
6.20
16.88
7.82
7.13
18.05
8.66
8.20
24
19.32
9.60
9.44
25
20.72
10.66
10.88
26
22.25
11.85
12.54
23.94
13.20
14.47
28
25.80
14.72
16.72
29
27.86
16.44
19.34
30
30.14
18.40
22.40
31
32.67
20.63
25.99
(continued)
K₁
sin(B-)
Table 4.2 Bearing Capacity Factors (Continued)
sin ẞ sin(B+)[1-
sin('+) sin('+a)₁₂
Vsin(+6) sin(a + ẞ)
$'
No
Na
N₁
φ'
No
N₁₂
Ny
32
35.49
23.18
30.22
42
93.71
85.38
155.55
33
38.64
26.09
35.19
43
105.11
99.02
186.54
34
42.16
29.44
41.06
44
118.37
115.31
224.64
35
46.12
33.30
48.03
45
133.88
134.88
271.76
36
50.59
37.75
56.31
46
152.10
158.51
330.35
37
55.63
42.92
66.19
47
173.64
187.21
403.67
38
61.35
48.93
78.03
48
199.26
222.31
496.01
39
67.87
55.96
92.25
49
229.93
265.51
613.16
40
75.31
64.20
109.41
50
266.89
319.07
762.89
41
83.86
73.90
130.22
Transcribed Image Text:2 m 1.5 m 3 m 8 m A B 4 m 3 m C 4 m 2.5 m 2.5 m Y(1) = 16.0 kN/m³ =26° Y(2) = 19.0 kN/m³ (2) = 28° Y(3) = 19.0 kN/m³ (3)=30° Fig. 2 8. Explain the phenomena of "bottom heave" and "piping" during a cut. Bearing capacity equation: q=cNFFF+NFFF+0.5BN F F F Equations and Tables: K. 1-sino' K₁ = 0.95-sin ' Shape factors by De Depth factors by Hansen (1970) Inclination factors by Meyerhof (1963) Beer (1970) and Hanna and Meyerhof (1981) LN Fo=1+(x) F =1+(-) tan 6 F =1+0.4(+) B F₁ =1+2 tan ø'(1-sin ø')² | F, = (1- B F₁ = F₁₂ = (1-B 90° F, =1-0.4() F₁ =1 Table 4.2 Bearing Capacity Factors NE Na Ny N N N K o(overconsolidate) K o(normally consolidated) √OCR 0 5.14 1.00 0.00 1 5.38 1.09 0.07 2 5.63 1.20 0.15 K = tan² (45-%) 34567 5.90 1.31 0.24 6.19 1.43 0.34 6.49 1.57 0.45 21 6.81 1.72 0.57 7.16 1.88 0.71 K₁ = cosa-√cos a-cos² ' =COS& K, cosa + √cos² a-cos² o' 8 7.53 2.06 0.86 =COS& 9 7.92 2.25 1.03 cosa + √cos² a-cos² ' Cosa – -√cos² cos² a-cos² ' 10 8.35 2.47 1.22 11 8.80 2.71 1.44 27 12 9.28 2.97 1.69 K sin² (B+) 13 sin ẞ sin(ẞ-8)[1+ sin('+5) sin(-a)2 sin(B-8) sin(a+B)" 14 15 345 9.81 3.26 1.97 10.37 3.59 2.29 10.98 3.94 2.65 SERDAR2222222223 16 11.63 4.34 3.06 17 12.34 4.77 3.53 18 13.10 5.26 4.07 19 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 18.05 8.66 8.20 24 19.32 9.60 9.44 25 20.72 10.66 10.88 26 22.25 11.85 12.54 23.94 13.20 14.47 28 25.80 14.72 16.72 29 27.86 16.44 19.34 30 30.14 18.40 22.40 31 32.67 20.63 25.99 (continued) K₁ sin(B-) Table 4.2 Bearing Capacity Factors (Continued) sin ẞ sin(B+)[1- sin('+) sin('+a)₁₂ Vsin(+6) sin(a + ẞ) $' No Na N₁ φ' No N₁₂ Ny 32 35.49 23.18 30.22 42 93.71 85.38 155.55 33 38.64 26.09 35.19 43 105.11 99.02 186.54 34 42.16 29.44 41.06 44 118.37 115.31 224.64 35 46.12 33.30 48.03 45 133.88 134.88 271.76 36 50.59 37.75 56.31 46 152.10 158.51 330.35 37 55.63 42.92 66.19 47 173.64 187.21 403.67 38 61.35 48.93 78.03 48 199.26 222.31 496.01 39 67.87 55.96 92.25 49 229.93 265.51 613.16 40 75.31 64.20 109.41 50 266.89 319.07 762.89 41 83.86 73.90 130.22
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