A square footing 4 m on a side and 1.2 m below the ground for which the bulk unit weight of the soil is 20 kN/m3 . The cohesion of the soil is 20 kPa and the angle of internal friction is 20 degrees. Consider the condition of general shear failure and evaluate the contribution of the following soil bearing capacity in kPa using Terzhagi’s equation for square footing: a. Cohesion strength b. Soil overburden c. Footing dimension

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A square footing 4 m on a side and 1.2 m below the ground for which the bulk unit weight of the soil is 20 kN/m3 . The cohesion of the soil is 20 kPa and the angle of internal friction is 20 degrees. Consider the condition of general shear failure and evaluate the contribution of the following soil bearing capacity in kPa using Terzhagi’s equation for square footing: a. Cohesion strength b. Soil overburden c. Footing dimension
Table 01: Terzaghi's Bearing Capacity Factors
(General shear failure)
Na
N
Ne
(deg)
(deg)
Ne
Na
N
01
5.70
1.00
0.00
26
27.09
14.21
9.84
6.00
1.10
0.01
27
29.24
15.90
11.60
6.30
1.22
0.04
28
31.61
17.81
13.70
3
6.62
1.35
0.06
29
34.24
19.98
16.18
4.
6.97
1.49
0.10
30
37.16
22.46
19.13
7.34
1.64
0.14
31
40.41
25.28
22.65
6.
7.73
1.81
0.20
32
44.04
28.52
26.87
8.15
2.00
0.27
33
48.09
32.23
31.94
8.
8.60
2.21
0.35
34
52.64
36.50
38.04
9.
9.09
2.44
0.44
35
57.75
41.44
45.41
10
9.61
2.69
0.56
36
63.53
47.16
54.36
11
10.16
2.98
0.69
37
70.01
53.80
65.27
12
10.76
3.29
0.85
38
77.50
61.55
78.61
13
11.41
3.63
1.04
39
85.97
70.61
95.03
14
12.11
4.02
1.26
40
95.66
81.27
115.30
15
12.86
4.45
1.52
41
106.80
93.85
140.50
16
13.68
4.92
1.82
42
119.70
108.80
172.00
17
14.60
5.45
2.18
43
134.60
126.50
211.60
18
15.12
6.04
2.59
44
151.95
147.70
261.60
19
16.56
6.70
3.07
45
172.30
173.30
325.30
20
17.69
7.44
3.64
46
196.20
204.20
407.10
21
18.92
8.26
4.31
47
224.60
241.80
512.80
22
20.27
9.19
5.09
48
258.30
287.90
650.70
23
21.75
10.23
6.00
49
298.70
344.60
831.99
24
23.36
11.40
7.08
50
347.50
415.10
1072.80
25
25.13
12.72
8.34
Transcribed Image Text:Table 01: Terzaghi's Bearing Capacity Factors (General shear failure) Na N Ne (deg) (deg) Ne Na N 01 5.70 1.00 0.00 26 27.09 14.21 9.84 6.00 1.10 0.01 27 29.24 15.90 11.60 6.30 1.22 0.04 28 31.61 17.81 13.70 3 6.62 1.35 0.06 29 34.24 19.98 16.18 4. 6.97 1.49 0.10 30 37.16 22.46 19.13 7.34 1.64 0.14 31 40.41 25.28 22.65 6. 7.73 1.81 0.20 32 44.04 28.52 26.87 8.15 2.00 0.27 33 48.09 32.23 31.94 8. 8.60 2.21 0.35 34 52.64 36.50 38.04 9. 9.09 2.44 0.44 35 57.75 41.44 45.41 10 9.61 2.69 0.56 36 63.53 47.16 54.36 11 10.16 2.98 0.69 37 70.01 53.80 65.27 12 10.76 3.29 0.85 38 77.50 61.55 78.61 13 11.41 3.63 1.04 39 85.97 70.61 95.03 14 12.11 4.02 1.26 40 95.66 81.27 115.30 15 12.86 4.45 1.52 41 106.80 93.85 140.50 16 13.68 4.92 1.82 42 119.70 108.80 172.00 17 14.60 5.45 2.18 43 134.60 126.50 211.60 18 15.12 6.04 2.59 44 151.95 147.70 261.60 19 16.56 6.70 3.07 45 172.30 173.30 325.30 20 17.69 7.44 3.64 46 196.20 204.20 407.10 21 18.92 8.26 4.31 47 224.60 241.80 512.80 22 20.27 9.19 5.09 48 258.30 287.90 650.70 23 21.75 10.23 6.00 49 298.70 344.60 831.99 24 23.36 11.40 7.08 50 347.50 415.10 1072.80 25 25.13 12.72 8.34
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