Suppose you have design for a 2 storied building. Following information are given for design : (1) Square foundation that is B×B in plan,  (2) Depth of footing, Df = 2m (3) Vertical gross allowable load, Qall =            3301 kN, (4) Soil properties : γ= 16.5 kN/m^3     φ= 30°, c=0, FS= 3 Determine the size of the foundation ( Use both Tarzaghi's bearing capacity and Meyerhof's bearing capacity factors)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Suppose you have design for a 2 storied building. Following information are given for design :
(1) Square foundation that is B×B in plan, 

(2) Depth of footing, Df = 2m

(3) Vertical gross allowable load, Qall =            3301 kN,

(4) Soil properties : γ= 16.5 kN/m^3

    φ= 30°, c=0, FS= 3

Determine the size of the foundation ( Use both Tarzaghi's bearing capacity and Meyerhof's bearing capacity factors)

Table 02
Bearing Capacity Factors for General Bearing Capacity Equation
• N. N. N.
N,(M) N, (V) N, (H)
N(M) N, (V) N, (H)
N.
5.10
100
0.00
0.00
0.00
25
20.72
10.66
6.77
10.88
6.76
538
1.09
0.00
0.07
0.00
26
22.25
11.85
8.00
12.54
7.94
2
563
120
0.01
0.15
0.01
27
23.94
13.20
9.46
14.47
9.32
3
5.90
131
0.02
0.24
0.02
28
25.80
14.72
11.19
16.72
10.94
6.19
1.43
0.04
0.34
0.05
29
27.86
16.44
13.24
19.34
1284
6.49
157
0.07
0.45
0.07
30
30.14
18.40
15.67
22.40
15.07
6
681
1.72
0.11
0.57
0.11
31
32.67
20.63
1856
25.99
17.69
7.16
188
0.15
0.71
0.16
32
35.49
23.18
2202
30.21
20.79
7.53
2.06
0.21
0.86
0.22
33
38.64
26.09
26.17
35.19
24.44
7.92
225
0.28
1.03
0.30
34
42.16
29.44
31.15
41.06
28.77
10
834
2.47
0.37
1.22
0.39
35
46.12
33.30
37.15
48.03
33.92
11
2.71
0.47
1.44
0.50
36
50.59
37.75
44.43
56.31
40.05
12
9.28
2.97
0.60
1.69
0.63
37
55.63
42.92
53.27
66.19
47.38
13
981
3.26
0.74
1.97
0.78
38
61.35
48.93
64.07
78.02
56.17
14
10.37
3.59
0.92
2.29
0.97
39
67.87
55.96
77.33
92.25
66.76
15
10.98
3.94
1.13
2.65
1.18
40
75.31
64.20
93.69
109.41
7954
16
11.63
4.34
1.37
3.06
1.43
41
83.86
73.90
113.99
130.21
95.05
17
1234
4.77
1.66
3.53
1.73
42
93.71
8537
139.32
155.54
113.96
18
13.10
5.26
2.00
4.07
2.08
43
105.11
99.01
171.14
186.53
137.10
19
13.93
5.80
2.40
4.68
2.48
44
118.37
11531
21141
224.64
165.58
20
14.83
6.40
2.87
5.39
2.95
45
133.87
134.87
262.74
271.75
200.81
21
1581
707
3.42
6.20
3.50
46
152.10
158.50
328.73
330.34
244.65
22
16.88
782
4.07
7.13
4.13
47
173.64
187.21
414.33
403.66
299.52
23
18.05
8.66
4.82
8.20
4.88
48
199.26
222.30
526.46
496.00
368.67
24
1932
960
5.72
9.44
5.75
49*
229.93
265.50
674.92
613.15
456.41
Transcribed Image Text:Table 02 Bearing Capacity Factors for General Bearing Capacity Equation • N. N. N. N,(M) N, (V) N, (H) N(M) N, (V) N, (H) N. 5.10 100 0.00 0.00 0.00 25 20.72 10.66 6.77 10.88 6.76 538 1.09 0.00 0.07 0.00 26 22.25 11.85 8.00 12.54 7.94 2 563 120 0.01 0.15 0.01 27 23.94 13.20 9.46 14.47 9.32 3 5.90 131 0.02 0.24 0.02 28 25.80 14.72 11.19 16.72 10.94 6.19 1.43 0.04 0.34 0.05 29 27.86 16.44 13.24 19.34 1284 6.49 157 0.07 0.45 0.07 30 30.14 18.40 15.67 22.40 15.07 6 681 1.72 0.11 0.57 0.11 31 32.67 20.63 1856 25.99 17.69 7.16 188 0.15 0.71 0.16 32 35.49 23.18 2202 30.21 20.79 7.53 2.06 0.21 0.86 0.22 33 38.64 26.09 26.17 35.19 24.44 7.92 225 0.28 1.03 0.30 34 42.16 29.44 31.15 41.06 28.77 10 834 2.47 0.37 1.22 0.39 35 46.12 33.30 37.15 48.03 33.92 11 2.71 0.47 1.44 0.50 36 50.59 37.75 44.43 56.31 40.05 12 9.28 2.97 0.60 1.69 0.63 37 55.63 42.92 53.27 66.19 47.38 13 981 3.26 0.74 1.97 0.78 38 61.35 48.93 64.07 78.02 56.17 14 10.37 3.59 0.92 2.29 0.97 39 67.87 55.96 77.33 92.25 66.76 15 10.98 3.94 1.13 2.65 1.18 40 75.31 64.20 93.69 109.41 7954 16 11.63 4.34 1.37 3.06 1.43 41 83.86 73.90 113.99 130.21 95.05 17 1234 4.77 1.66 3.53 1.73 42 93.71 8537 139.32 155.54 113.96 18 13.10 5.26 2.00 4.07 2.08 43 105.11 99.01 171.14 186.53 137.10 19 13.93 5.80 2.40 4.68 2.48 44 118.37 11531 21141 224.64 165.58 20 14.83 6.40 2.87 5.39 2.95 45 133.87 134.87 262.74 271.75 200.81 21 1581 707 3.42 6.20 3.50 46 152.10 158.50 328.73 330.34 244.65 22 16.88 782 4.07 7.13 4.13 47 173.64 187.21 414.33 403.66 299.52 23 18.05 8.66 4.82 8.20 4.88 48 199.26 222.30 526.46 496.00 368.67 24 1932 960 5.72 9.44 5.75 49* 229.93 265.50 674.92 613.15 456.41
Table 01
Terzaghi's Bearing Capacity Factors
(For General Shear Failure)
Ne
Ng
Ny
Ne
Na
N,
0°
5.70
1.00
0.00
25°
25.13
12.72
8.34
1°
6.00
1.10
0.01
26°
27.09
14.21
9.84
2°
6.30
1.22
0.04
27°
29.24
15.90
11.60
3°
6.62
1.35
0.06
28°
31.61
17.81
13.70
4°
6.97
1.49
0.10
29
34.24
19.98
16.18
5°
7.34
1.64
0.14
30°
37.16
22.46
19.13
6°
7.73
1.81
0.20
31°
40.41
25.28
22.65
7°
8.15
2.00
0.27
32
44.04
28.52
26.87
8°
8.60
2.21
0.35
33
48.09
32.23
31.94
9°
9.09
2.44
0.44
34°
52.64
36.50
38.04
10°
9.60
2.69
0.56
35
57.75
41.44
45.41
11
10.16
2.98
0.69
36°
63.53
47.16
54.36
12
10.76
3.29
0.85
37
70.07
53.80
65.27
13°
11.41
3.63
1.04
38
77.50
61.55
78.61
14
12.11
4.02
1.26
39
85.97
70.61
95.03
15°
12.86
4.45
1.52
40°
95.66
81.27
115.31
16
13.68
4.92
1.82
41°
106.81
93.85
140.51
17°
14.56
5.45
2.18
42°
119.67
108.75
171.99
18
15.52
6.04
2.59
43°
134.58
126.50
211.56
19
16.56
6.70
3.07
44°
151.95
147.74
261.60
20
17.69
7.44
3.64
45°
172.29
173.29
325.34
21°
18.92
8.26
4.31
46°
196.22
204.19
407.11
22
20.27
9.19
5.09
47
224.55
241.80
512.84
23°
21.75
10.23
6.00
48°
258.29
287.86
650.67
24°
23.36
11.40
7.08
49
298.72
344.64
831.99
Transcribed Image Text:Table 01 Terzaghi's Bearing Capacity Factors (For General Shear Failure) Ne Ng Ny Ne Na N, 0° 5.70 1.00 0.00 25° 25.13 12.72 8.34 1° 6.00 1.10 0.01 26° 27.09 14.21 9.84 2° 6.30 1.22 0.04 27° 29.24 15.90 11.60 3° 6.62 1.35 0.06 28° 31.61 17.81 13.70 4° 6.97 1.49 0.10 29 34.24 19.98 16.18 5° 7.34 1.64 0.14 30° 37.16 22.46 19.13 6° 7.73 1.81 0.20 31° 40.41 25.28 22.65 7° 8.15 2.00 0.27 32 44.04 28.52 26.87 8° 8.60 2.21 0.35 33 48.09 32.23 31.94 9° 9.09 2.44 0.44 34° 52.64 36.50 38.04 10° 9.60 2.69 0.56 35 57.75 41.44 45.41 11 10.16 2.98 0.69 36° 63.53 47.16 54.36 12 10.76 3.29 0.85 37 70.07 53.80 65.27 13° 11.41 3.63 1.04 38 77.50 61.55 78.61 14 12.11 4.02 1.26 39 85.97 70.61 95.03 15° 12.86 4.45 1.52 40° 95.66 81.27 115.31 16 13.68 4.92 1.82 41° 106.81 93.85 140.51 17° 14.56 5.45 2.18 42° 119.67 108.75 171.99 18 15.52 6.04 2.59 43° 134.58 126.50 211.56 19 16.56 6.70 3.07 44° 151.95 147.74 261.60 20 17.69 7.44 3.64 45° 172.29 173.29 325.34 21° 18.92 8.26 4.31 46° 196.22 204.19 407.11 22 20.27 9.19 5.09 47 224.55 241.80 512.84 23° 21.75 10.23 6.00 48° 258.29 287.86 650.67 24° 23.36 11.40 7.08 49 298.72 344.64 831.99
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