EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
9th Edition
ISBN: 9781337517218
Author: SOBHAN
Publisher: VST
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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
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
A group pile in clay is shown in the figure below. Determine the maximum vertical load Qg
be applied if the allowable consolidation settlement of the pile group is set to be 0.17 m. Use the
2:1 stress distribution method to estimate the average effective stress in the clay layer.
can
Qg
3 m
Sand
Groundwater
y = 15.72 kN/m3
table
Sand
3 m
Ysat =
18.55 kN/m3
2.75 m
X 2.75 m
Group
plan
Normally consolidated clay
Ysat = 19.18 kN/m³
15 m
18 m
eo = 1
C.
= 0,8
Normally consolidated clay
Ysat = 19 kN/m3
eo = 0.25, C. =1
5 m
Rock
Chapter 9 Solutions
EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
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- 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).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.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_forward
- i need the answer quicklyarrow_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_forwardi need the answer quicklyarrow_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? 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_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_forward
- The 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_forwardQuestion 3 A new underground tunnel section is designed by a geotechnical consultant. For the underground station a 5 m wide braced excavation is made in a saturated clay as shown in Figure Q3 with unit weight, y = 18.5 kN/m², friction angle, o = 0° and cohesion, c = 20 kN/m?. The struts are spaced at 5 m center to center in plan. Refer Appendix 1 to select the sheet-pile section. i. Draw the strut forces. ii. Determine the section modulus of the sheet pile needed. Assume oall = 170 MN/m? iii. Determine the maximum moment for the wales at levels B and C. Show a complete answer, including all numerical values and necessary diagrams. 5 m 3 m B 2 marrow_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_forward
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