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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37dddbe8-8c3c-4f34-9d54-69aa554eea5f%2F61c16e39-53a2-4124-b0c8-faa301afe061%2F4vnq6r_processed.jpeg&w=3840&q=75)
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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