Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 15, Problem 15.22P
To determine
Calculate the required depth of sheet pile to be driven from the top.
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Figure 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 marl
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
6.5 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.
M
Chapter 15 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Refer to the braced cut in Figure 15.50, for which...Ch. 15 - For the braced cut described in Problem 15.16,...Ch. 15 - Refer to Figure 15.51 in which = 17.5 kN/m3, c =...Ch. 15 - Refer to Figure 15.27a. For the braced cut, H = 6...Ch. 15 - Prob. 15.20PCh. 15 - Determine the factor of safety against bottom...Ch. 15 - Prob. 15.22PCh. 15 - The water table at a site is at 5 m below the...Ch. 15 - Prob. 15.24PCh. 15 - Prob. 15.25CTPCh. 15 - Figure 15.53 below shows a cantilever sheet pile...
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- 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
- 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_forwardA 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 Imarrow_forwardDetermine the factor of safety against heave on the downstream side of the single-row sheet pile structure shown in Figure 9.30. Use the following soil and design parameters: H1 = 7 m, H2 = 3 m, thickness of permeable layer (T) = 12 m, design depth of penetration of sheet pile (D) = 4.5 m, and γsat = 17 kN/m3arrow_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.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_forwardI am looking for the solution for question 9.5, thank youarrow_forward
- 1. A circular pile having a diameter of 0.45 m is 10 m long is embedded in a layer of loose sand with unit weight of 17.6 kN/cu.m. Water table exists at a depth 3 m from the ground surface. Saturated unit weight is 20.4 kN/cu.m. Lateral pressure coefficient = 1.15, bearing capacity factor = 79, friction angle = 34 degrees and FS = 3.0. Hint: tan(0)=u a. Compute the average effective pressure at critical depth. b. Determine the ultimate load capacity of the pile. c. If the pile is embedded on dense sand, determine the difference in the frictional capacity.arrow_forwardA vertical sheet pile supports a horizontal backfill having a height of 6 m. The backfill has a unit weight of 19 KN/m² and an angle of internal friction of 30°. Determine the required depth of penetration. A 3 m B 4m 4.5 m D 5.5 marrow_forwardI am asking for 9.2 to 9.6, thank youarrow_forward
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