Find the settlement due to consolidation of a 9ft × 9ft coloumn foundation (figure) with a load of 1500 Ibs. The foundation is placed at 3 ft below the top surface and the clay layer is 25 ft thick. There is a sand layer underneath of the clay layer. The density of the clay layer is 115 Ibs/cf the compression index of the clay layer is 0.32 and the initial void ratio of the clay is 0.085. Assume that the pressure is distributed at a 2:1 ratio and clay is normally consolidated.

Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter10: Mat Foundations
Section: Chapter Questions
Problem 10.8P
icon
Related questions
Question

Find the settlement due to consolidation of a 9ft × 9ft coloumn foundation (figure) with a load of 1500 Ibs. The foundation is placed at 3 ft below the top surface and the clay layer is 25 ft thick. There is a sand layer underneath of the clay layer. The density of the clay layer is 115 Ibs/cf the compression index of the clay layer is 0.32 and the initial void ratio of the clay is 0.085. Assume that the pressure is distributed at a 2:1 ratio and clay is normally consolidated. 

10
dead
1.5'
04
(b) Find the settlement due to consolidation of a 9 ft x 9 ft column foundation (Figure 06
3) with a load of 1500 lbs. The foundation is placed 3 ft below the top surface,
and the clay layer is 25ft thick. There is a sand layer underneath the clay layer.
The density of the clay layer is 115 lbs/cf, the compression index of the clay layer
is 0.32, and the initial void ratio of the clay is .085. Assume that the pressure is
distributed at a 2:1 ratio and the clay is normally consolidated.
Transcribed Image Text:10 dead 1.5' 04 (b) Find the settlement due to consolidation of a 9 ft x 9 ft column foundation (Figure 06 3) with a load of 1500 lbs. The foundation is placed 3 ft below the top surface, and the clay layer is 25ft thick. There is a sand layer underneath the clay layer. The density of the clay layer is 115 lbs/cf, the compression index of the clay layer is 0.32, and the initial void ratio of the clay is .085. Assume that the pressure is distributed at a 2:1 ratio and the clay is normally consolidated.
1500 lbs
3 ft
9 ft
11 ft
22 ft
18 ft
Figure 3
Table 01
Terzaghi's Bearing Capacity Factors
(For General Shear Failure)
Table 02
Bearing Capacity Factors for General Bearing Capacity Equation
Ne
N,
Ne
Ny
Ny(M) N, (V) N, (H)• N. N.
Ny{M) N, (V)| N, (H)
N.
N.
0°
5.70
1.00
0.00
25
25.13
12.72
8.34
5.10
1.00
0.00
0.00
0.00
25
20.72
10.66
6.77
10.88
6.76
1°
6.00
1.10
0.01
26
27.09
14.21
9.84
538
1.09
0.00
0.07
0.00
26
22.25
11.85
8.00
12.54
7.94
2°
6.30
1.22
0.04
27
29.24
15.90
11.60
2
5.63
120
0.01
0.15
0.01
27
23.94
13.20
9.46
14.47
9.32
3°
6.62
1.35
0.06
28°
31.61
17.81
13.70
3"
5.90
131
0.02
0.24
0.02
28
25.80
14.72
11.19
16.72
10.94
4°
6.97
1.49
0.10
29
34.24
19.98
16.18
4"
6.19
1.43
0.04
0.34
0.05
29
27.86
16.44
13.24
19.34
1284
5°
7.34
1.64
0.14
30
37.16
2246
19.13
6.49
1.57
0.07
0.45
0.07
30
30.14
18.40
15.67
22.40
15.07
31
32
6°
7.73
1.81
0.20
40.41
25.28
22.65
6"
6.81
1.72
0.11
0.57
0.11
31
32.67
20.63
1856
25.99
17.69
7°
8.15
2.00
0.27
44.04
28.52
26.87
7.16
188
0.15
0.71
0.16
32
35.49
23.18
22.02
30.21
20.79
8
8.60
2.21
0.35
33
48.09
32.23
31.94
7.53
2.06
0.21
0.86
0.22
33
38.64
26.09
26.17
35.19
24.44
34
35
9°
9.09
2.44
0.44
52.64
36.50
38.04
7.92
2.25
34
29.44
31.15
28.77
0.28
1.03
0.30
42.16
41.06
10
9.60
2.69
0.56
57.75
41.44
45.41
10
834
2.47
0.37
1.22
0.39
35
46.12
3330
37.15
48.03
33.92
11
10.16
2.98
0.69
36°
63.53
47.16
54.36
11
2.71
0.47
0.50
36
50.59
37.75
44.43
56.31
40.05
1.44
12
10.76
3.29
0.85
37
70.07
53.80
65.27
12
9.28
2.97
0.60
1.69
0.63
37
55.63
4292
53.27
66.19
47.38
13
11.41
3.63
1.04
38
77.50
61.55
78.61
13
981
3.26
0.74
1.97
0.78
38
61.35
48.93
64.07
78.02
56.17
14
12.11
4.02
1.26
39
85.97
70.61
95.03
14
10.37
3.59
0.92
2.29
0.97
39
67.87
55.96
7733
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
15
12.86
4.45
1.52
40
95.66
81.27
115.31
16
11.63
434
1.37
3.06
1.43
41
83.86
73.90
113.99
130.21
95.05
16
13.68
4.92
1.82
41
106.81
93.85
140.51
17
1234
4.77
1.66
3.53
1.73
42
93.71
85.37
139.32
155.54
113.96
17°
14.56
5.45
2.18
42
119.67 108.75
171.99
18
13.10
5.26
2.00
4.07
2.08
43
105.11
99.01
17114
186.53
137.10
18
15.52
6.04
2.59
43°
134.58
126.50 211.56
19
13.93
5.80
2.40
4.68
2.48
44
118.37 115.31
21141
224.64
165.58
19
16.56
6.70
3.07
44
151.95
147.74
261.60
20
14.83
6.40
2.87
5.39
2.95
45
133.87
13487
262.74 271.75
200.81
20
17.69
7.44
3.64
45°
172.29
173.29
325.34
21
1581
7.07
3.42
6.20
3.50
46
152.10
158.50
328.73
330,34
244.65
196.22 204.19
224.55 241.80
21°
18.92
8.26
4.31
46°
407.11
22
16.88
7.82
4.07
7.13
4.13
173.64
187.21
414.33
403.66
299.52
47
22
20.27
9.19
5.09
47
512.84
23
18.05
866
4.82
8.20
4.88
48
199.26
222.30
526.46
496.00
368.67
23°
21.75
10.23
6.00
48°
258.29
287.86
650.67
19.32
5,72
9,44
5.75
229.93
265.50
674.92
613.15
456.41
24
9.60
49
24
23.36
1140
7.08
49
298.72
344.64
831.99
Transcribed Image Text:1500 lbs 3 ft 9 ft 11 ft 22 ft 18 ft Figure 3 Table 01 Terzaghi's Bearing Capacity Factors (For General Shear Failure) Table 02 Bearing Capacity Factors for General Bearing Capacity Equation Ne N, Ne Ny Ny(M) N, (V) N, (H)• N. N. Ny{M) N, (V)| N, (H) N. N. 0° 5.70 1.00 0.00 25 25.13 12.72 8.34 5.10 1.00 0.00 0.00 0.00 25 20.72 10.66 6.77 10.88 6.76 1° 6.00 1.10 0.01 26 27.09 14.21 9.84 538 1.09 0.00 0.07 0.00 26 22.25 11.85 8.00 12.54 7.94 2° 6.30 1.22 0.04 27 29.24 15.90 11.60 2 5.63 120 0.01 0.15 0.01 27 23.94 13.20 9.46 14.47 9.32 3° 6.62 1.35 0.06 28° 31.61 17.81 13.70 3" 5.90 131 0.02 0.24 0.02 28 25.80 14.72 11.19 16.72 10.94 4° 6.97 1.49 0.10 29 34.24 19.98 16.18 4" 6.19 1.43 0.04 0.34 0.05 29 27.86 16.44 13.24 19.34 1284 5° 7.34 1.64 0.14 30 37.16 2246 19.13 6.49 1.57 0.07 0.45 0.07 30 30.14 18.40 15.67 22.40 15.07 31 32 6° 7.73 1.81 0.20 40.41 25.28 22.65 6" 6.81 1.72 0.11 0.57 0.11 31 32.67 20.63 1856 25.99 17.69 7° 8.15 2.00 0.27 44.04 28.52 26.87 7.16 188 0.15 0.71 0.16 32 35.49 23.18 22.02 30.21 20.79 8 8.60 2.21 0.35 33 48.09 32.23 31.94 7.53 2.06 0.21 0.86 0.22 33 38.64 26.09 26.17 35.19 24.44 34 35 9° 9.09 2.44 0.44 52.64 36.50 38.04 7.92 2.25 34 29.44 31.15 28.77 0.28 1.03 0.30 42.16 41.06 10 9.60 2.69 0.56 57.75 41.44 45.41 10 834 2.47 0.37 1.22 0.39 35 46.12 3330 37.15 48.03 33.92 11 10.16 2.98 0.69 36° 63.53 47.16 54.36 11 2.71 0.47 0.50 36 50.59 37.75 44.43 56.31 40.05 1.44 12 10.76 3.29 0.85 37 70.07 53.80 65.27 12 9.28 2.97 0.60 1.69 0.63 37 55.63 4292 53.27 66.19 47.38 13 11.41 3.63 1.04 38 77.50 61.55 78.61 13 981 3.26 0.74 1.97 0.78 38 61.35 48.93 64.07 78.02 56.17 14 12.11 4.02 1.26 39 85.97 70.61 95.03 14 10.37 3.59 0.92 2.29 0.97 39 67.87 55.96 7733 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 15 12.86 4.45 1.52 40 95.66 81.27 115.31 16 11.63 434 1.37 3.06 1.43 41 83.86 73.90 113.99 130.21 95.05 16 13.68 4.92 1.82 41 106.81 93.85 140.51 17 1234 4.77 1.66 3.53 1.73 42 93.71 85.37 139.32 155.54 113.96 17° 14.56 5.45 2.18 42 119.67 108.75 171.99 18 13.10 5.26 2.00 4.07 2.08 43 105.11 99.01 17114 186.53 137.10 18 15.52 6.04 2.59 43° 134.58 126.50 211.56 19 13.93 5.80 2.40 4.68 2.48 44 118.37 115.31 21141 224.64 165.58 19 16.56 6.70 3.07 44 151.95 147.74 261.60 20 14.83 6.40 2.87 5.39 2.95 45 133.87 13487 262.74 271.75 200.81 20 17.69 7.44 3.64 45° 172.29 173.29 325.34 21 1581 7.07 3.42 6.20 3.50 46 152.10 158.50 328.73 330,34 244.65 196.22 204.19 224.55 241.80 21° 18.92 8.26 4.31 46° 407.11 22 16.88 7.82 4.07 7.13 4.13 173.64 187.21 414.33 403.66 299.52 47 22 20.27 9.19 5.09 47 512.84 23 18.05 866 4.82 8.20 4.88 48 199.26 222.30 526.46 496.00 368.67 23° 21.75 10.23 6.00 48° 258.29 287.86 650.67 19.32 5,72 9,44 5.75 229.93 265.50 674.92 613.15 456.41 24 9.60 49 24 23.36 1140 7.08 49 298.72 344.64 831.99
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Calculation of settlement
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
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
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning
Fundamentals of Geotechnical Engineering (MindTap…
Fundamentals of Geotechnical Engineering (MindTap…
Civil Engineering
ISBN:
9781305635180
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning