Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 9, Problem 9.15P
To determine
Find the factor of safety against heave on the downstream side of the single-row pile sheet structure.
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12.37 Figure P 12.37 shows a group pile in clay. Determine the
consolidation settlement of the group. Use the 2:1 method to
estimate the average effective stress in the clay layers.
1335 KN
K-
3 m
++
3 m
*
18 m
5 m
3 m
↓
2.75 m
X 2.75 m
Group
plan
FIGURE P12.37
Groundwater
table
15 m
Rock
Sand
y = 15.72 kN/m²
Sand
Ysat = 18.55 kN/m³
Normally consolidated clay
Ysat = 19.18 kN/m³
€ = 0.8
C = 0.8
Normally consolidated clay
Ysat = 18.08 kN/m³
% = 1.0
C = 0.31
Normally consolidated clay
Ysat = 19.5 kN/m³
€ = 0.7
C₂ = 0.26
Problem #1 The figure below shows a cantilever sheet-pile wall penetrating a granular soil. Here, L1 = 4 m, L2 = 8 m, unit weight above water table= 16.1 kN/m3, saturated unit weight = 5 18.2 kN/m3, and friction angle of sand = 32 degrees. a. What is the theoretical depth of embedment, D? b. For a 30% increase in D, what should be the total length of the sheet piles? c. Determine the theoretical maximum moment of the sheet pile. d. If the allowable flexural stress = 170 MPa, compute the required section modulus of the sheet pile.
Problem #1
The figure below shows a cantilever sheet-pile wall penetrating a granular soil. Here,
L₁ = 4 m, L₂ = 8 m, unit weight above water table= 16.1 kN/m³, saturated unit weight
= 5 18.2 kN/m³, and friction angle of sand = 32 degrees.
a. What is the theoretical depth of embedment, D?
b. For a 30% increase in D, what should be the total length of the sheet piles?
c. Determine the theoretical maximum moment of the sheet pile.
d. If the allowable flexural stress = 170 MPa, compute the required section modulus
of the sheet pile.
Water table
Dredge line
Sand
Y
<=0
Sand
Ysat
c'=0
Sand
Ysat
c'=0
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- i need the answer quicklyarrow_forwardi need the answer quicklyarrow_forwardA 600mm diameter pile is embedded in 3 layers of dense sand at a depth of 17m. Nq = 86. The groundwater table is situated between Layers 2 and 3. The layers have the following properties: Layer 1: γ = 16.9 kN/m3. 3m thick. Layer 2: γ = 17.6 kN/m3. 5.5m thick. Layer 3: γsat = 19.65 kN/m3. K is 0.9 and tan α = 0.37. The factor of safety is 3.0. What is the skin friction resistance of the pile in kN? What is the skin friction resistance of the pile in kN? None of the choices 1684.170 1477.156 1257.150 1322.744 866.118 Please answer this asap. For upvote. Thank you very mucharrow_forward
- A 600mm diameter pile is embedded in 3 layers of dense sand at a depth of 17m. Nq = 86. The groundwater table is situated between Layers 2 and 3. The layers have the following properties: Layer 1: γ = 16.9 kN/m3. 3m thick. Layer 2: γ = 17.6 kN/m3. 5.5m thick. Layer 3: γsat = 19.65 kN/m3. K is 0.9 and tan α = 0.37. The factor of safety is 3.0. What is the allowable axial load capacity of the pile in kN? 5476.785 1750.169 1127.606 2439.011 None of the choices 2365.846 Please answer this asap. For upvote. Thank you very mucharrow_forwardA 600mm diameter pile is embedded in 3 layers of dense sand at a depth of 17m. Nq = 86. The groundwater table is situated between Layers 2 and 3. The layers have the following properties: Layer 1: γ = 16.9 kN/m3. 3m thick. Layer 2: γ = 17.6 kN/m3. 5.5m thick. Layer 3: γsat = 19.65 kN/m3. K is 0.9 and tan α = 0.37. The factor of safety is 3.0. What is the skin friction resistance of the pile in kN? None of the choices 1684.170 1477.156 1257.150 1322.744 866.118 Please answer this asap. For upvote. Thank you vey much.arrow_forwardQuestion 3 The flownet for an excavation supported by sheet pile walls is shown in Figure Q3. The soil being excavated is a uniform fine sand with a coefficient of permeability (k) of 5×104 m/s. The width of the trench is 5 m, with a length of 50 m. A constant external water level of 2 m is maintained at the ground level. Ground level 2m 6m 6m 6m ▼ K Line of symmetry- 5m Sheet pile wall 9m (c) Determine the pore water pressure (u) at Point A. Figure Q3 (a) Explain the physical significance of a flownet. In other words, explain what these lines represent. (b) Determine the total water flow rate (Q) at the excavation floor. K (d) If the excavation was carried out on the Moon, determine the total water flow rate (Q) at the excavation floor again (assuming that the gravitational acceleration on the Moon is 1.6 m/s²).arrow_forward
- 2. Design the anchored sheet pile wall supporting a loose sand fill as shown in the following Figure. GWT is at the same height on both sides, and assume yw=10kN/m³. Based on the log spiral solutions, the Ka for the loose sand is 0.3 while the Ka and Kp for the dense sand are 0.2 and 13.125, respectively. Using the free earth support method, do the following: a) For a factor of safety of 2 on the passive resistance, determine the required depth of penetration depth, D. (initial trial with D'=1.5m) b) Determine the bending moment and the anchor load. c) Select a sheet pile section from the Table 9.1 (E=210x10³ MN/m² and fair-210 MN/m²) kN/m² D 7.0m. Yt = 16.5 kN/m³ o'= 30° Loose sand fill: Yt 19.5 kN/m3 o' = = 30° Dense sand: Yt = 21 kN/m³ $' = 40° q=10 1.5m. 0.5m. Tarrow_forwardIn Problem 18.4, find the maximum bending moment in the sheet pile and determine the required section modulus, assuming an allowable stress of 190 MN/m2. 18.4 Refer to Figure 18.13. Given L1 = 1.5 m, L2 = 3 m; for the sand, =33, =16.5kN/m3, sat=19.0kN/m3; and, for the clay, c=50kN/m2, =0, sat=20kN/m3. Determine the depth of sheet pile required, allowing for a 50% increase from the theoretical estimate.arrow_forwardI am looking for the solution for question 9.5, thank youarrow_forward
- 8) A sheet-pile wall retaining a silty sand is shown in the figure. Using the Rankine formula, the passive earth pressure coefficient is most nearly: a. 0.3 b. 0.47 c. 3.25 d. 1.0 SILTY SAND c=0 = 32°arrow_forwardPROBLEM NO. 2 A cantilever sheet pile wall is supporting a horizontal backfill having a unit weight of 18 kN/m³. Active pressure coefficient K, = 0.28 and a passive pressure coefficient Kp = 4.6. (1) Determine the value of "d" required for stability of the cantilever sheet pile using the Factored Moment Method (FMM). The Factor of Safety on passive resistance is 2, (2) determine the value of "d" required for stability of the cantilever sheet pile walls using the Factored Strength Method (FSM), (3) determine the value of “d* required for stability of the cantilever sheet pile walls using the Net Passive Pressure Method (NPPM). The Factor of Safety for lateral forces causing rotation is 1.5. Page of 3m Figure 2. Sheet pile profilearrow_forwardFigure below shows the cross-section of an excavation which is to be made alongside a river. Write down an expression for the effective stress at level A-A and use this to establish the depth H to which the water in the trench can be reduced before instability occurs (when o'z is zero). The shear resistance at the clay and sheet pile interface can be considered negligible. sheet piling River peaty silt 3.5 m dredge level 8 m . alluvial silty clay 6.0 m (y 18 kN/m³) 3 m coarse 3.5 m gravel impervious red marlarrow_forward
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