A circular footing having a diameter of 2.5 m is supported by a soil (dense sand) with the following properties: • 0 - 20° • c - 50 kPa • y = 18 kN/m3 • Ysat = 20 kN/m3 The bottom of the footing is 1.5 m below the ground surface. GWT is located at the bottom of the footing. Using Terzaghi's equation, determine the net allowable bearing capacity with factor of safety

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Table 3.1 Terzaghi's Bearing Capacity Factors-Eqs. (3.4), (3.5), and (3.6) a From
Kumbhojkar (1993)
N.
N.
N,
N.
N.
N,
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
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
5
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
7
8.15
2.00
0.27
33
48.09
32.23
31.94
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
115.31
15
12.86
4.45
1.52
41
106.81
93.85
140.51
16
13.68
4.92
1.82
42
119.67
108.75
171.99
17
14.60
5.45
2.18
43
134.58
126.50
211.56
18
15.12
6.04
2.59
44
151.95
147.74
261.60
19
16.56
6.70
3.07
45
172.28
173.28
325.34
20
17.69
7.44
3.64
46
196.22
204.19
407.11
21
18.92
8.26
4.31
47
224.55
241.80
512.84
22
20.27
9.19
5.09
48
258.28
287.85
650.67
23
21.75
10.23
6.00
49
298.71
344.63
831.99
24
23.36
11.40
7.08
50
347.50
415.14
1072.80
25
25.13
12.72
8.34
*From Kumbhojkar (1993)
123
Transcribed Image Text:Table 3.1 Terzaghi's Bearing Capacity Factors-Eqs. (3.4), (3.5), and (3.6) a From Kumbhojkar (1993) N. N. N, N. N. N, 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 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 5 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 7 8.15 2.00 0.27 33 48.09 32.23 31.94 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 81.27 115.31 15 12.86 4.45 1.52 41 106.81 93.85 140.51 16 13.68 4.92 1.82 42 119.67 108.75 171.99 17 14.60 5.45 2.18 43 134.58 126.50 211.56 18 15.12 6.04 2.59 44 151.95 147.74 261.60 19 16.56 6.70 3.07 45 172.28 173.28 325.34 20 17.69 7.44 3.64 46 196.22 204.19 407.11 21 18.92 8.26 4.31 47 224.55 241.80 512.84 22 20.27 9.19 5.09 48 258.28 287.85 650.67 23 21.75 10.23 6.00 49 298.71 344.63 831.99 24 23.36 11.40 7.08 50 347.50 415.14 1072.80 25 25.13 12.72 8.34 *From Kumbhojkar (1993) 123
A circular footing having a diameter of 2.5 m is supported by a soil (dense sand) with the following
properties:
O = 20°
C = 50 kPa
Y = 18 kN/m3
• Ysat = 20 kN/m³
%3D
%3D
The bottom of the footing is 1.5 m below the ground surface. GWT is located at the bottom of the
footing. Using Terzaghi's equation, determine the net allowable bearing capacity with factor of safety
with respect to shear failure of 3.0. Use Yw= 9.81 kN/m3.
Transcribed Image Text:A circular footing having a diameter of 2.5 m is supported by a soil (dense sand) with the following properties: O = 20° C = 50 kPa Y = 18 kN/m3 • Ysat = 20 kN/m³ %3D %3D The bottom of the footing is 1.5 m below the ground surface. GWT is located at the bottom of the footing. Using Terzaghi's equation, determine the net allowable bearing capacity with factor of safety with respect to shear failure of 3.0. Use Yw= 9.81 kN/m3.
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