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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1. The figure below shows the flow net for seepage of water around a single row of sheet piles
driven into a permeable layer. Calculate the factor of safety against downstream heave, given
than Ysat for the permeable layer = 17.7 kN/m³. (note: Thickness of permeable layer T = 18 m).
H₁ = 10 m
6 m
-Sheet pile
Heave zone Impermeable layer
H₁ = 1.5 m
Ysat 17.7 kN/m³
Q-7 The following figure shows the flow net for seepage of water around a single row of sheet piles driven
into a permeable layer. Calculate the factor of safety against downstream heave, given that ysat for the
permeable layer = 17.7 kN/m3. (Note: Thickness of permeable layer T= 18 m)
Sheet pile
H1 = 10 m
H, = 1.5 m
6 m
Ysat = 17.7 kN/m³
Heave zone
Impermeable layer
Estimate the magnitude of k of the clay at a void ratio (e) of 0.9. Use Eq. (2.41).
2.10 Refer to Figure P 2.10 and use these values:
• H = 7 m,
• H, = 1.75 m, D = 7 m
D = 3.5 m
Draw a flow net. Calculate the seepage loss per meter length of the sheet pile (at a
right angle to the cross section shown).
Sheet
pile
H1
H2
D1
k= 6.5 x 10-4cm/sec
Impermeable layer
Figure P2.10
= 0.6.
2.11 A sand has the following: D10 = 0.2 mm, D = 0.4 mm, and void ratio e
a. Determine the hydraulic conductivity using Eq. (2.38).
b. Determine the hydraulic conductivity using Eq. (2.40).
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- 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.arrow_forwardProblem #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'=0arrow_forwardThe flownet for seepage of water around a single row of sheet piles driven into a permeable layer is shown in Figure D(below). Calculate the quantity of seepage loss against downstream heave, given the k = 2.6 x 10-6 m/sec and saturated unit weight = 17.7 kN/m3. The depth of the sheet pile is 6 m into the ground. Sheet pile Heave zone H;=10m H2 =1.5m Impermeable layer O 3.32 x 10-5 m3/s/m O 1.47 x 10-4 m3/s/m 2.95 x 10-5 m3/s/m 1.47 x 10-5 m3/s/marrow_forward
- Q: The following figure shows the flownet for seepage of water around a single row of sheet piles driven into permeable layer. Calculate the factor of safety against downstream heave, given that Ysat = 19 kN/m³ and yw = 9.81 kN/m³. All the relevant information are provided in the figure. HI-10m 6m ↓ Heave zone Sheet pile Impermeable layer H₂= 2 m Y-16 kN/marrow_forwardThe flow net around a sheet pile wall is shown in the sketch. The properties of the soil are permeability coefficient = 0.09 m/day (isotropic), specific gravity = 2.70 and void ratio = 0.85. The sheet pile wall and the bottom of the soil are impermeable. 10 m 1.5 m 3m The seepage loss (in m' per day per unit length of the wall) of water isarrow_forwardRead the question carefully and give me right solution according to the questionarrow_forward
- i 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_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 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_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 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_forwardThe flow net around a sheet pile wall is shown in the sketch. The properties of the soil are permeability coefficient = 0.09 m/day (isotropic), specific gravity = 2.70 and void ratio =0.85. The sheet pile wall and the bottom of the soil are impermeable. 10 m 1.5 m 3m 4.20 The factor of safety against the occurrence of piping failure isarrow_forward
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