For the rectangular footing (3m×4m) shown in figure. Calculate the factor of safety against general bearing capacity and determine whether design good or not. If,e= 0.35m and q max= 400 Kn/m^2.
For the rectangular footing (3m×4m) shown in figure. Calculate the factor of safety against general bearing capacity and determine whether design good or not. If,e= 0.35m and q max= 400 Kn/m^2.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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For the rectangular footing (3m×4m) shown in figure. Calculate the factor of safety against general bearing capacity and determine whether design good or not.
If,e= 0.35m and q max= 400 Kn/m^2.
Transcribed Image Text:For the rectangular footing (3m x 4m) shown in Figure 2 calculate the factor of 10
safety against bearing capacity, and determine whether the design is good or not.
If e = 0.35m and qmax= 400 kN/m².
2.
Qall
GL
0 = 30°
c = 40 kN/m?
2 m
Ya = 15 kN/m?
45a
4m
Figure 2
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
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