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Geotechnical
Principles of Geotechnical Engineering
106 SOLVED PROBLEMS
Question: 15.10
Solve Example 15.9 using Spencer’s solution (Figure 15.35). ...
Verified Answer:
Given: H = 21.62 m, β = 26.57°, c′ = 20 kN/m², γ =...
Question: 15.11
Solve Example 15.9 using Michalowski’s solution (Figure 15.36). ...
Verified Answer:
\frac{c^\prime}{\gamma H \tan \phi^\prime}=...
Question: 15.9
A given slope under steady-state seepage has the following: H = 21.62 m, Φ′ = 25°, slope: 2H:1V, c′ = 20 kN/m², γ = 18.5 kN/m³, ru = 0.25. Determine the factor of safety, Fs. Use Table 15.3. ...
Verified Answer:
\beta=\tan^{-1}\left(\frac{1}{2}\right)=26....
Question: 15.7
Solve Example 15.6 using Michalowski’s solution. ...
Verified Answer:
Part a For critical height
(H_{cr}), FS_s[/...
Question: 15.6
A slope with β = 45° is to be constructed with a soil that has Φ′ = 20° and c′ = 24 kN/m². The unit weight of the compacted soil will be 18.9 kN/m³. a. Find the critical height of the slope. b. If the height of the slope is 10 m, determine the factor of safety with respect to strength. ...
Verified Answer:
Part a We have
m=\frac{c^\prime}{\gamma H_{...
Question: 15.5
A cut slope in saturated clay (Figure 15.21) makes an angle of 56° with the horizontal. Assume kh = 0.25. a. Determine the maximum depth up to which the cut could be made. b. How deep should the cut be made if a factor of safety of 2 against sliding is required? ...
Verified Answer:
Part a For the critical height of the slopes, [lat...
Question: 15.4
A cut slope was excavated in a saturated clay. The slope made an angle of 40° with the horizontal. Slope failure occurred when the cut reached a depth of 6.1 m. Previous soil explorations showed that a rock layer was located at a depth of 9.15 m below the ground surface. Assuming an undrained ...
Verified Answer:
Part a Referring to Figure 15.13,
D=\frac{9...
Question: 15.3
A cut slope is to be made in a soft saturated clay with its sides rising at an angle of 60° to the horizontal (Figure 15.17). Given: cu = 40 kN/m² and γ = 17.5 kN/m³. a. Determine the maximum depth up to which the excavation can be carried out. b. Find the radius, r, of the critical circle when ...
Verified Answer:
Part a Since the slope angle β = 60° > 53°, the...
Question: 15.2
A cut is to be made in a soil having γ = 105 lb/ft³, c′ = 600 lb/ft², and Φ′ = 15°. The side of the cut slope will make an angle of 45° with the horizontal. What should be the depth of the cut slope that will have a factor of safety (Fs) of 3? ...
Verified Answer:
Given:
\phi ^\prime
= 15°; c′ = 60...
Question: 14.2
A 7-m-deep braced cut in sand is shown in Figure 14.13. In the plan, the struts are placed at s = 2 m center to center. Using Peck’s empirical pressure diagram, calculate the design strut loads. ...
Verified Answer:
Refer to Figure 14.11a. For the lateral earth pres...
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