Concept explainers
In 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,
Want to see the full answer?
Check out a sample textbook solutionChapter 18 Solutions
Principles of Foundation Engineering (MindTap Course List)
- 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_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_forwardEx: The figure below is a proposed weir floor with three vertical piles. calculate the uplift pressure distribution under the floor of the weir at key point by khosla's creep flow theory? 106.00 102.25 1:5 100.50 100.00 98.50 99.25 [97.25L b = 15.75 b = 34.75 D, [93.00 93.00 b, = 15 b, = 34 91.00 b = 50.5arrow_forward
- 9, = 10 kPa I EFine-grained soil Y= 17.2 kN/m, S = 0.8. = 27°, s = 55 kPa 1.5 m 1.0 m 8 = determine the depth of embedment of the cantilever sheet pile wall shown above.arrow_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 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 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_forward
- A construction project of cantilever sheet pile penetrating saturated clay is designed to form a sheet pile wall along a riverbank as shown in Figure C. Determine: i. - ii. The theoretical and actual depth of penetration by using Dactual = 1.5D theory The maximum size of sheet pile section necessary by using all = 172.5 MN/m². Sand A y=16 kN/m³ c' = 0 2m Water table p=32 Sand Ysat 19.35 kN/m³ c' = 0 4'=32 Clay Vsat 19.35 kN/m³ c′ = 46.9 kN/m² 3m Figure C E B Riverbedarrow_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_forward3.7 An embankment is shown in Figure P3.2. Given that B = 5m, H = 5m, m= 1.5, z = 3m, a= 3m, b = 4m, and y= 18kN/m³, determine the vertical stresses at A, B, C, D, and E. I Figure P3.2 B/2 8:2 NA S 121 Unit weight of soil embankment - Y ak B C D b Earrow_forward
- An anchored sheet-pile bulkhead is shown in Figure P14.10. Let L1 = 2 m, L2 = 6 m, l1 = 1 m, γ = 16 kN/m3, γsat = 18.86 kN/m3, Φ' = 32º, and c = 27 kN/m2.a. Determine the theoretical depth of embedment, D.b. Calculate the anchor force per unit length of the sheet-pile wall. Use the free earth support method.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_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
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning