Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 18, Problem 18.3P
To determine
Find the required actual depth of the sheet pile.
Select suitable section of sheet pile.
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Question 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).
Question 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 m
A 5 m wide braced excavation is made in a saturated clay, as shown
in Figure P19.1, with the following properties: c =20 kN/m?, 4= 0,
and y = 18.5 kN/m³. The struts are spaced at 5 m center to center in
plan.
a. Determine the strut forces.
b. Determine the section modulus of the sheet pile required,
assuming oall = 170 MN/m².
c. Determine the maximum moment for the wales at levels B
and C.
5 m
A
1 m
| 3 m
B
| 2 m
Im
Chapter 18 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 18 - Refer to Figure 18.9. A cantilever sheet pile is...Ch. 18 - Prob. 18.2PCh. 18 - Prob. 18.3PCh. 18 - Refer to Figure 18.13. Given L1 = 1.5 m, L2 = 3 m;...Ch. 18 - In Problem 18.4, find the maximum bending moment...Ch. 18 - Prob. 18.6PCh. 18 - Prob. 18.7PCh. 18 - Prob. 18.8PCh. 18 - Refer to Figure 18.23. Given L1=3m, L2=6m,...Ch. 18 - Prob. 18.10P
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- 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 K₂ 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. D 7.0m. Yt = 16.5 kN/m³ ' = 30° Loose sand fill: Yt 19.5 kN/m3 ' = 30° Dense sand: Yt = 21 kN/m³ $' = 40° q=10 kN/m² 1.5m. 0.5m. Tarrow_forward2. 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_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
- A 11.8 m long cantilever sheet pile retaining wall is to be used to support the 6.2 m deep excavation as shown in figure. Plot the profile of horizontal effective stress in front and back of the retaining wall. Use the Rankine method. GGoound level 2.5 m Y G.W.L Grravel d'= 35°, c'-o P= 22k d'z 40° c'zo Sheet pile wg.s 6-2marrow_forwardFigure 15.53 below shows a cantilever sheet pile driven into a granular soil where the water table is 2 m below the top of the sand. The properties of thesand are: ' = 40, m = 17.5 kN/m3, and sat = 19 kN/m3. It is proposed toexcavate to a depth of 6 m below the ground level. Determine the depth towhich the sheet pile mast be driven, using the net lateral pressure diagram. Fig. 15.53arrow_forward8) 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_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 K₂ for the loose sand is 0.3 while the K₂ 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 far-210 MN/m²) 3. Re-design the wall using the fixed earth support method and comment on the different results from the two methods. 7.0m. D Yt = 16.5 kN/m³ $' = 30° Loose sand fill: Yt = 19.5 kN/m3 ' = 30° Dense sand: Yt = 21 kN/m³ $' = 40° ↓q=10 1.5m. 0.5m. kN/m²arrow_forward6.5 The sides of an excavation 3.0m deep in sand are to be supported by a cantilever sheet pile wall. The water table is 1.5 m below the bottom of the excavation. The sand has a saturated unit weight of 20 kN/m³, a unit weight above the water table of 17 kN/m³ and the characteristic value of o' is 36°. Using the traditional method, determine the required depth of embedment of the piling below the bottom of the excavation to give a factor of safety of 2.0 with respect to passive resistance. Marrow_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
- 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'=0arrow_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
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