A square footing ( 3'×3') shown in figure. Determine the allowable resisting moment (M), if the dead load is 350 kips and live load is 450 kips and F.S = 3. Using Meyerhof Equation.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A square footing ( 3'×3') shown in figure. Determine the allowable resisting moment (M), if the dead load is 350 kips and live load is 450 kips and F.S = 3. Using Meyerhof Equation. 

A square footing (3'x3') shown in Figure 1. Determine the allowable resisting
moment (M), if the dead load is 350 kips and live load is 450 kips and F.S = 3.
(Using Meyerhof Equation)
1.
P
60°
GL
0 = 35°
c = 0
1.5'
Yd = 110 pcf
Ys = 122.4 pcf
Figure 1
Transcribed Image Text:A square footing (3'x3') shown in Figure 1. Determine the allowable resisting moment (M), if the dead load is 350 kips and live load is 450 kips and F.S = 3. (Using Meyerhof Equation) 1. P 60° GL 0 = 35° c = 0 1.5' Yd = 110 pcf Ys = 122.4 pcf Figure 1
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
1*
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
1.7
0.07
0.45
0.07
30
30.14
18.40
15.67
22.40
15.07
6°
7.73
1.81
0.20
31
40.41
25.28
22.65
6"
681
1.72
0.11
0.57
0.11
31
32.67
20.63
18.56
25.99
17.69
7°
8.15
2.00
0.27
32
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
225
0.28
1.03
0.30
34
42.16
29.44
31.15
41.06
28.77
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
2.71
0.47
0.50
36
50.59
37.75
44.43
56.31
40.05
11
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
42.92
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
79.54
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
13932
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
16.88
7.82
4.07
7.13
173.64
187.21
403.66
299.52
22
4.13
47
414.33
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
24
19.32
9.60
5,72
9,44
5.75
674.92
456.41
49
229.93
265.50
613.15
24
23.36
11.40
7.08
49
298.72
344.64
831.99
Transcribed Image Text: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 1* 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 1.7 0.07 0.45 0.07 30 30.14 18.40 15.67 22.40 15.07 6° 7.73 1.81 0.20 31 40.41 25.28 22.65 6" 681 1.72 0.11 0.57 0.11 31 32.67 20.63 18.56 25.99 17.69 7° 8.15 2.00 0.27 32 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 7.92 225 0.28 1.03 0.30 34 42.16 29.44 31.15 41.06 28.77 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 2.71 0.47 0.50 36 50.59 37.75 44.43 56.31 40.05 11 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 42.92 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 79.54 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 13932 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 16.88 7.82 4.07 7.13 173.64 187.21 403.66 299.52 22 4.13 47 414.33 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 24 19.32 9.60 5,72 9,44 5.75 674.92 456.41 49 229.93 265.50 613.15 24 23.36 11.40 7.08 49 298.72 344.64 831.99
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