Determine the allowable gross vertical loadbearing of a square foundation with the following parameters: B = 3m, D₁ = 2m, o' = 30°, c' = 0, y = 16.5 kN/m³. Use Terzaghi's equation and assume general shear failure in soil. Use FS = 4. Recall q=Y DE

Principles of Foundation Engineering (MindTap Course List)
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Author:Braja M. Das
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Chapter4: Shallow Foundations: Ultimate Bearing Capacity
Section: Chapter Questions
Problem 4.2P: A square column foundation has to carry a gross allowable load of 1805 kN (FS = 3). Given: Df = 1.5...
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Use Terzaghi's equation and Terzaghi's Table 

QUESTION 1
1. Determine the allowable gross vertical loadbearing of a square foundation with the
following parameters: B = 3m, D = 2m, o' = 30°, c' = 0, y = 16.5 kN/m³. Use Terzaghi's
equation and assume general shear failure in soil. Use FS = 4.
Recall q=Y DE
Transcribed Image Text:QUESTION 1 1. Determine the allowable gross vertical loadbearing of a square foundation with the following parameters: B = 3m, D = 2m, o' = 30°, c' = 0, y = 16.5 kN/m³. Use Terzaghi's equation and assume general shear failure in soil. Use FS = 4. Recall q=Y DE
TABLE 6.1 (Terzaghi's Bearing Capacity Factors-Eqs. (6.17), (6.15), and (6.13)*
N₂
N₂
14.21
9.84
15.90
11.60
13.70
N₂
5.70
6.00
6.30
6.62
6.97
7.34
7.73
8.15
8.60
9.09
9.61
10.16
10.76
11.41
12.11
12.86
13.68
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
25.13
"From Kumbhojkar (1993)
14.60
15.12
16.56
17.69
18.92
20.27
N₁ N₂
1.00
1.10
1.22
1.35
1.49
1.64
1.81
2.00
2.21
2.44
2.69 0.56
2.98
0.69
3.29
3.63
4.02
4.45
4.92
5.45
6.04
6.70 3.07
7.44
3.64
8.26 4.31
9.19
5.09
10.23
6.00
11.40 7.08
12.72
8.34
21.75
23.36
0.00
0.01
0.04
0.06
0.10
0.14
0.20
0.27
0.35
0.44
0.85
1.04
1.26
1.52
1.82
2.18
2.59
N₂
26
27.09
27
29.24
28
31.61
29
34.24
30 37.16
31 40.41
22.65
32
44.04
26.87
33
48.09
31.94
34
52.64
38.04
35
57.75
45.41
36 63.53
54.36
37
70.01
65.27
38
77.50
78.61
39
85.97
95.03
40
95.66
115.31
41 106.81
140.51
42 119.67
108.75
171.99
43 134.58
126.50
211.56
151.95
147.74
261.60
45
172.28
173.28
325.34
46
196.22
204.19
407.11
47 224.55
241.80 512.84
48
258.28
287.85 650.67
49
298.71
344.63 831.99
50 347.50 415.14 1072.80
17.81
19.98
22.46
25.28
28.52
32.23
36.50
41.44
47.16
53.80
61.55
70.61
81.27
93.85
16.18
19.13
To estimate the ultimate bearing capacity of square and circular foundations,
Eq. (6.10) may be respectively modified to
q=1.3c'N, +qN₂ +0.4yBN, (square foundation)
(6.19)
Transcribed Image Text:TABLE 6.1 (Terzaghi's Bearing Capacity Factors-Eqs. (6.17), (6.15), and (6.13)* N₂ N₂ 14.21 9.84 15.90 11.60 13.70 N₂ 5.70 6.00 6.30 6.62 6.97 7.34 7.73 8.15 8.60 9.09 9.61 10.16 10.76 11.41 12.11 12.86 13.68 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 25.13 "From Kumbhojkar (1993) 14.60 15.12 16.56 17.69 18.92 20.27 N₁ N₂ 1.00 1.10 1.22 1.35 1.49 1.64 1.81 2.00 2.21 2.44 2.69 0.56 2.98 0.69 3.29 3.63 4.02 4.45 4.92 5.45 6.04 6.70 3.07 7.44 3.64 8.26 4.31 9.19 5.09 10.23 6.00 11.40 7.08 12.72 8.34 21.75 23.36 0.00 0.01 0.04 0.06 0.10 0.14 0.20 0.27 0.35 0.44 0.85 1.04 1.26 1.52 1.82 2.18 2.59 N₂ 26 27.09 27 29.24 28 31.61 29 34.24 30 37.16 31 40.41 22.65 32 44.04 26.87 33 48.09 31.94 34 52.64 38.04 35 57.75 45.41 36 63.53 54.36 37 70.01 65.27 38 77.50 78.61 39 85.97 95.03 40 95.66 115.31 41 106.81 140.51 42 119.67 108.75 171.99 43 134.58 126.50 211.56 151.95 147.74 261.60 45 172.28 173.28 325.34 46 196.22 204.19 407.11 47 224.55 241.80 512.84 48 258.28 287.85 650.67 49 298.71 344.63 831.99 50 347.50 415.14 1072.80 17.81 19.98 22.46 25.28 28.52 32.23 36.50 41.44 47.16 53.80 61.55 70.61 81.27 93.85 16.18 19.13 To estimate the ultimate bearing capacity of square and circular foundations, Eq. (6.10) may be respectively modified to q=1.3c'N, +qN₂ +0.4yBN, (square foundation) (6.19)
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