4. How would you design a drainage system for the gravity retaining wall is the previous problem? Use sketches to facilitate your description. Bearing capacity equation: q=CNFFF+NFFF+0.57BN,F_F_F Fo=1+(x) LN B F =1+2 tan ø'(1-sing')³ DF, = (1- Shape factors by De Depth factors by Hansen (1970) Inclination factors by Meyerhof (1963) Beer (1970) and Hanna and Meyerhof (1981) F =1+0.4(+) F₁ = F₁₂ = (1-B 90° F= B F₁ =1 F,=1-0.4(2) = Equations and Tables: K 1-sino' K = 0.95-sin o' Table 4.2 Bearing Capacity Factors K K o(overconsolidate) o(normally consolidated) NOCR Ka an²(45-%) = tan cosa-√cos a-cos² ' Ka= =COS d cosa +√cos² a-cos² K₁ = sin ẞ sin(ẞ-8)[1+, NC Na N₁ 01234567 5.14 1.00 0.00 5.38 1.09 0.07 5.63 1.20 0.15 5.90 1.31 0.24 6.19 1.43 0.34 6.49 1.57 0.45 6.81 1.72 0.57 7 7.16 1.88 0.71 23 Cosa+cos α- K₁ =COS& cos a-cos² o' 8 7.53 2.06 0.86 24 9 7.92 2.25 1.03 COSC = -√cos² α-cos² ' 10 8.35 2.47 1.22 11 8.80 2.71 1.44 27 12 9.28 2.97 1.69 13 9.81 3.26 1.97 14 10.37 3.59 2.29 30 1658982222222222 N Na N₁ 11.63 4.34 3.06 17 12.34 4.77 3.53 13.10 5.26 4.07 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 19.32 9.60 9.44 20.72 10.66 10.88 22.25 11.85 12.54 23.94 13.20 14.47 25.80 14.72 16.72 27.86 16.44 19.34 30.14 18.40 22.40 15 10.98 3.94' 2.65 31 32.67 20.63 25.99 (continued) sin² (B+) sin(ø' + d) sin($' – α) 1² sin(B-) sin(a + ẞ) sin² (B-) K₁ sin ẞ sin(ẞ+6)[1- sin(+6) sin('+a)² sin(ẞ+8) sin(a+ẞ) Table 4.2 Bearing Capacity Factors (Continued) $' 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 Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter17: Retaining Walls
Section: Chapter Questions
Problem 17.5P
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I need detailed explanation solving this exercise from Foundation Engineering, step by step please.

4.
How would you design a drainage system for the gravity retaining wall is the
previous problem? Use sketches to facilitate your description.
Bearing capacity equation: q=CNFFF+NFFF+0.57BN,F_F_F
Fo=1+(x)
LN
B
F =1+2 tan ø'(1-sing')³ DF, = (1-
Shape factors by De
Depth factors by Hansen (1970)
Inclination factors by Meyerhof (1963)
Beer (1970)
and Hanna and Meyerhof (1981)
F =1+0.4(+)
F₁ = F₁₂ = (1-B
90°
F=
B
F₁ =1
F,=1-0.4(2)
=
Equations and Tables:
K 1-sino' K = 0.95-sin o'
Table 4.2 Bearing Capacity Factors
K
K
o(overconsolidate)
o(normally consolidated)
NOCR
Ka
an²(45-%)
= tan
cosa-√cos a-cos² '
Ka=
=COS d
cosa +√cos² a-cos²
K₁ =
sin ẞ sin(ẞ-8)[1+,
NC
Na
N₁
01234567
5.14
1.00
0.00
5.38
1.09
0.07
5.63
1.20
0.15
5.90
1.31
0.24
6.19
1.43
0.34
6.49
1.57
0.45
6.81
1.72
0.57
7
7.16
1.88
0.71
23
Cosa+cos α-
K₁ =COS&
cos a-cos² o'
8
7.53
2.06
0.86
24
9
7.92
2.25
1.03
COSC =
-√cos² α-cos² '
10
8.35
2.47
1.22
11
8.80
2.71
1.44
27
12
9.28
2.97
1.69
13
9.81
3.26
1.97
14
10.37
3.59
2.29
30
1658982222222222
N
Na
N₁
11.63
4.34
3.06
17
12.34
4.77
3.53
13.10
5.26
4.07
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
19.32
9.60
9.44
20.72
10.66
10.88
22.25
11.85
12.54
23.94
13.20
14.47
25.80
14.72
16.72
27.86
16.44
19.34
30.14
18.40
22.40
15
10.98
3.94'
2.65
31
32.67
20.63
25.99
(continued)
sin² (B+)
sin(ø' + d) sin($' – α) 1²
sin(B-) sin(a + ẞ)
sin² (B-)
K₁
sin ẞ sin(ẞ+6)[1-
sin(+6) sin('+a)²
sin(ẞ+8) sin(a+ẞ)
Table 4.2 Bearing Capacity Factors (Continued)
$'
No
Na
N₁
φ'
No
N₁₂
Ny
32
35.49
23.18
30.22
42
93.71
85.38
155.55
33
38.64
26.09
35.19
43
105.11
99.02
186.54
34
42.16
29.44
41.06
44
118.37
115.31
224.64
35
46.12
33.30
48.03
45
133.88
134.88
271.76
36
50.59
37.75
56.31
46
152.10
158.51
330.35
37
55.63
42.92
66.19
47
173.64
187.21
403.67
38
61.35
48.93
78.03
48
199.26
222.31
496.01
39
67.87
55.96
92.25
49
229.93
265.51
613.16
40
75.31
64:20
109.41
50
266.89
319.07
762.89
41
83.86
73.90
130.22
Transcribed Image Text:4. How would you design a drainage system for the gravity retaining wall is the previous problem? Use sketches to facilitate your description. Bearing capacity equation: q=CNFFF+NFFF+0.57BN,F_F_F Fo=1+(x) LN B F =1+2 tan ø'(1-sing')³ DF, = (1- Shape factors by De Depth factors by Hansen (1970) Inclination factors by Meyerhof (1963) Beer (1970) and Hanna and Meyerhof (1981) F =1+0.4(+) F₁ = F₁₂ = (1-B 90° F= B F₁ =1 F,=1-0.4(2) = Equations and Tables: K 1-sino' K = 0.95-sin o' Table 4.2 Bearing Capacity Factors K K o(overconsolidate) o(normally consolidated) NOCR Ka an²(45-%) = tan cosa-√cos a-cos² ' Ka= =COS d cosa +√cos² a-cos² K₁ = sin ẞ sin(ẞ-8)[1+, NC Na N₁ 01234567 5.14 1.00 0.00 5.38 1.09 0.07 5.63 1.20 0.15 5.90 1.31 0.24 6.19 1.43 0.34 6.49 1.57 0.45 6.81 1.72 0.57 7 7.16 1.88 0.71 23 Cosa+cos α- K₁ =COS& cos a-cos² o' 8 7.53 2.06 0.86 24 9 7.92 2.25 1.03 COSC = -√cos² α-cos² ' 10 8.35 2.47 1.22 11 8.80 2.71 1.44 27 12 9.28 2.97 1.69 13 9.81 3.26 1.97 14 10.37 3.59 2.29 30 1658982222222222 N Na N₁ 11.63 4.34 3.06 17 12.34 4.77 3.53 13.10 5.26 4.07 13.93 5.80 4.68 20 14.83 6.40 5.39 15.82 7.07 6.20 16.88 7.82 7.13 18.05 8.66 8.20 19.32 9.60 9.44 20.72 10.66 10.88 22.25 11.85 12.54 23.94 13.20 14.47 25.80 14.72 16.72 27.86 16.44 19.34 30.14 18.40 22.40 15 10.98 3.94' 2.65 31 32.67 20.63 25.99 (continued) sin² (B+) sin(ø' + d) sin($' – α) 1² sin(B-) sin(a + ẞ) sin² (B-) K₁ sin ẞ sin(ẞ+6)[1- sin(+6) sin('+a)² sin(ẞ+8) sin(a+ẞ) Table 4.2 Bearing Capacity Factors (Continued) $' 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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