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Geotechnical
Introduction to Geotechnical Engineering
116 SOLVED PROBLEMS
Question: 14.5
Repeat Example 14.4 and use Coulomb’s active pressure for calculation and δ′ = 2φ′/3. ...
Verified Answer:
Refer to Figure 14.14 for the pressure calculation...
Question: 14.6
Determine the safety factors for the cantilever retaining wall shown in figure 14.16 with respect to sliding and overturning, using Coulomb’s active earth pressures. Assume δ′ is 24° and the unit weight of concrete is 24 kN/m³. How would you improve the stability of this wall? ...
Verified Answer:
From Table 11.4 for α = 10°, φ′ = 36° and δ′ = 24°...
Question: 14.4
A concrete gravity retaininvg wall is shown in Figure 14.13. Determine: a. The factor of safety against overturning b. The factor of safety against sliding c. The pressure on the soil at the toe and heel (Note: Unit weight of concrete = γc = 150 lb/ft³.) ...
Verified Answer:
H^\prime =15+25=17.5
ft
K_a=...
Question: 14.3
In Example 14.2, if there is a possibility that the soil in front of the wall will be removed sometime later, neglect the passive resistance and compute the factors of safety. ...
Verified Answer:
The passive resistance
P_p
was not ...
Question: 14.2
Figure 14.11 shows a gravity retaining wall for a granular (c′ = 0) backfill. The same soil is present at the bottom of the wall and on the left. The unit weight and the friction angle of the backfill are 18.5 kN/m³ and 35°, respectively. The unit weight of the concrete is 24.0 kN/m³. Determine ...
Verified Answer:
The retaining wall and the soil regions of interes...
Question: 14.1
The cross section of a cantilever retaining wall is shown in Figure 14.10. Calculate the factors of safety with respect to overturning, sliding, and bearing capacity. Use 150 lb/ft³ for the unit weight of concrete. ...
Verified Answer:
Refer to Figure 14.10. Note that
H^\prime =...
Question: 12.6
A square foundation is shown in Figure 12.9. Assume that the load eccentricity e = 0.5 ft. Determine the ultimate load, Qult. ...
Verified Answer:
With c′ = 0, Eq. 12.20 becomes
q_u^\prime =...
Question: 12.5
A 2 m × 3 m spread foundation placed at a depth of 2 m carries a vertical load of 3000 kN and moment of 300 kN⋅m, as shown in Figure 12.8, Determine the factor of safety. ...
Verified Answer:
From Eq. (12.17), eccentricity
e =\frac{M}{...
Question: 12.4
A continuous foundation is shown in Figure 12.7. If the load eccentricity is 0.5 ft, determine the ultimate load, Qult, per unit length of the foundation. ...
Verified Answer:
With c′ = 0, Eq. (12.20) gives
q_u^\prime =...
Question: 12.1
Consider a shallow foundation with the following: ● Foundation: B = 3 ft L = 5 ft Df = 3 ft ● Soil: γ = 110 lb/ft³ φ′ = 25° c′ = 400 lb/ft² Determine the gross allowable load the foundation can carry. Use FS = 4. ...
Verified Answer:
From Eq. (12.7), noting that
F_{ci} = F_{qi...
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