Figure A A GS = 2.65 e = 0.50 w = 10% $ = 20 deg Figure B Hi H2 Terzaghi's Bearing Capacity Factors (General shear failu
Posted: Sat May 21, 2022 3:12 pm
Table 01: Terzaghi's Bearing Capacity Factors (General shear failure) Nc NA N, Nc NA N, (deg) 0 1 2 3 (deg) 26 27 28 29 30 31 4 5 6 N 7 8. 32 33 34 35 5.70 6.00 6.30 6.62 6.97 7.34 7.73 8.15 8.60 9.09 9.61 10.16 10.76 11.41 12.11 12.86 13.68 14,60 15.12 16.56 17.69 18.92 20.27 21.75 23.36 25.13 1.00 1.10 1.22 1.35 1.49 1.64 1.81 2.00 2.21 2.44 2.69 2.98 3.29 3.63 4.02 4.45 4.92 5.45 6.04 6.70 7.44 8.26 9.19 10.23 11.40 12.72 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0.00 0.01 0.04 0.06 0.10 0.14 0.20 0.27 0.35 0.44 0.56 0.69 0.85 1.04 1.26 1.52 1.82 2.18 2.59 3.07 3.64 4.31 5.09 6.00 7.08 8.34 36 37 38 39 40 27.09 29.24 31.61 34.24 37.16 40.41 44.04 48.09 52.64 57.75 63.53 20.01 77.50 85.97 95.66 106.80 119.70 134.60 151.95 172.30 196.20 224.60 258.30 298.70 347.50 14.21 15.90 17.81 19.98 22.46 25.28 28.52 32.23 36.50 41.44 47.16 53.80 61.55 70.61 81.27 93.85 108.80 126.50 147.70 173.30 204.20 241.80 287.90 344.60 415.10 9.84 11.60 13.70 16.18 19.13 22.65 26.87 31.94 38.04 45.41 54.36 65.27 78.61 95.03 115.30 140.50 172.00 211.60 261.60 325.30 407.10 512.80 650.70 831.99 1072.80 41 42 43 44 45 46 47 48 49 50
Problems: 1. A 10-m retaining wall is shown in figure A, determines a. The active thrust on the wall due to soil and water b. The active thrust on the wall due to soil only (dryl C. The increase in force on the wall if the soil is fully saturated with rainwater. 2. A 4-m square footing is shown in figure B which supports a load Q = 5000 kN. In this problem H, = 8 m and H. = 12 m. Calculate: 1 a. The pressure at the base of the footing b. The pressure at the mid height of the clay layer assuming that the stress beneath the footing is spread at a slope of 1 to 2V c. The pressure at the mid height of the clay layer [below the center of the footing using Bousinessy equation assuming point load 3. A 4-m diameter circular footing is supporting a water tank. The total weight of the footing, tank and its contents is 1.60 MN. Using the Bousiness equation: 0; = 9 x lg where lg = 1-1/N and N = [(R/2)2 + 112/2, determine: 214 1 using an ad The pressure at the base of the footing b. The increase pressure at a depth of 4 meters below the base of the footing c. The depth below the base of the footing where pressure increase is equal to 1/6 pressure at the base of the footing 4. A square footing 2 m x 2 m is located at a depth of 1.2 m below the ground surface. The soil properties are are cohesion, = 10 kPa, y = 15 degrees, y = 167 kN/m', and you = 20 kN/m'. Use Terzhagi's bearing capacity equation: qu = 1.3cNc + y; Ng + 0.4yBNy, bearing capacity factors N = 12.9, N4 = 4.4, N = 2.5, find q. under the following conditions: a. When the water table is way below the bottom of the footing b. When the water table is at the bottom of the footing wa c. When the water table is at ground surface 5. A prestressed concrete pile 400 mm x 400 mm in cross-section and 20 m long is driven in clayey soil with unconfined compression strength 44 = 110 kPa. Compute the skin friction an adhesion factor = 0.75. 6. A prestressed concrete pile 300 mm x 300 mm in cross-section and 10 m long is driven in clayey soil with unconfined compression strength qu = 110 kPa. Compute the skin friction = 7. A cohesive soil deposit is considered soft if the unconfined compression strength in kPa is between what range. 8. A layer of soft clay having an initial void ratio of 2.0 is 12.5 m thick. Under a compressive load applied above it, the void ratio decreased by one half. Evaluate the reduction in the thickness of the clay layer in m 9. A layer of soft clay having an initial void ratio of 1.5 is 15 m thick. Under a compressive load applied above it, the void ratio decreased by one half. Evaluate the reduction in the thickness of the clay layer in m. 10. A square footing 4 mon a side and 1.2 m below the ground for which the bulk unit weight of the soil is 20 kN/m. The cohesion of the soil is 20 kPa and the angle of internal friction is 20 degrees. Consider the condition of general shear failure and evaluate the contribution of the following soil bearing capacity in kPa using Terzhagi's equation for square footing: Cohesion strength b. Soil overburden c Footing dimension Note: use table 01 using an acco 1