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
icon
Related questions
Question
100%
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
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Foundation systems
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning