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Geotechnical Engineering Principles and Practices [EXP-45227]
89 SOLVED PROBLEMS
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Question: 14.1
A 1.5:1 cut slope is to be made in a shale with an apparent dip of 16° as shown in Figure 14.17. Compute the factor of safety against failure along the lowermost daylighted bedding plane using a unit weight of 20.1 kN/m^3 and along bedding strength parameters of c’ = 15 kPa and Φ’ = 20°.
Verified Answer:
W/b=\frac{1}{2} \left(85.0 m\right) \left(...
Question: 16.5
A 12 ft tall cantilever retaining wall supported on a 2 ft deep continuous footing will retain a sandy soil with c’ = 0, Φ’ = 35°, and γ = 124 lb/ft^3. The ground surface above the wall will be level (β = 0) and there will be no surcharge loads. Compute the active pressure and express it as the
Verified Answer:
K_{a}=\tan ^{2}\left(45° - \Phi /2\right)...
Question: 17.3
A 1350 kN column load is to be supported on a square spread footing founded in a clay with su = 150 kPa. The depth of embedment, D, will be 500 mm, and the soil has a unit weight of 18.5 kN/m^3. The groundwater table is at a depth below the bottom of the footing. Using a factor of safety of 3.0,
Verified Answer:
Per Table 17.1,
\Phi ^{\prime }
...
Question: 17.7
A 200 kN column load is to be supported on a 0.5 m deep footing in the sandy soil shown in Figure 17.11. The maximum allowable settlement is 20 mm. Determine the required footing width.
Verified Answer:
σ^{\prime }_{D}=γD - u=(20.0 kN/m^{3})(0...
Question: 4.1
A 27.50 lb soil sample has a volume of 0.220 ft^3 a moisture content of 10.2%, and a specific gravity of solids of 2.65. Compute the unit weight, dry unit weight, degree of saturation, void ratio, and porosity.
Verified Answer:
Solution using fundamental and derived equations [...
Question: 11.5
A 3.0 m deep compacted fill is to be placed over the soil profile shown in Figure 11.19. A consolidation test on a sample from point A produced the following results: Cc = 0.40 Cr = 0.08 e0 = 1.10 σ’c = 70.0 kPa This sample is representative of the entire soft clay stratum. Compute the ultimate
Verified Answer:
Using Equation 11.2:
\sigma ^{\prime }_{zf}...
Question: 7.3
A 3.2 m thick silty sand strata intersects one side of a reservoir as shown in Figure 7.13. This strata has a hydraulic conductivity of 4×10^2 cm/s and extends along the entire 1000 m length of the reservoir. An observation well has been installed in this strata as shown. Compute the seepage loss
Verified Answer:
The observation well indicates a water level above...
Question: 14.3
A 30 ft tall, 1.5:1 slope is to be built as shown in Figure 14.20. The soil is homogeneous, with c’= 400 lb/ft^2 and Φ’ = 29°. The unit weight is 119 lb/ft^3 above the groundwater table, and 123 lb/ft^3 below. Using the ordinary method of slices and an effective stress analysis, compute the factor
Verified Answer:
Weights:
W_{1}/b=10.8\left\lgroup\frac{10.3...
Question: 11.1
A 5.0 ft thick fill is to be placed on a site underlain by medium clay, as shown in Figure 11.3. Compute σ’z0 and σ’zf at Point A.
Verified Answer:
\sigma ^{\prime }_{z0}=\sum{\gamma H - u}...
Question: 8.1
A 6 ft diameter, 2000 ft long sewer drain pipe is to be installed 24 ft below the ground surface as shown in Figure 8.6. To build this pipe, a long trench must be excavated below the groundwater table as shown. Steel sheet piles (heavy, corrugated sheets of steel) will be installed to keep the
Verified Answer:
1. The cross-section is symmetrical about a vertic...
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