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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.

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.

Structural Analysis
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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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 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: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
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
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