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 18.6P
To determine
Find the required depth to drive a sheet pile to carry out an excavation to 4m depth.
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An excavation is made with a vertical face in a
clay soil which has C_{u} = 50kN /(m ^2)
gamma_{1} = 18kN / (m^3) and S_{n} = 0.261.
The maximum depth of a stable excavation will be
nearly?
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).
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 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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- Determine the depth of embedment required for stability of the cantilever sheet pile wall shown by using the factored strength method, taking F4 = 1.3. Coarse-grained soil Ysat = 20 kN/m O's = 39" 3 m 8 = O'csarrow_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_forwardFigure 2 shows the cross-section of a 7m-wide, 2.5m-deep excavation that will be used to build a large sewer line. The excavation is supported by sheet pile walls that extend through layers of sand layers. The friction angle of the sand 1 and sand 2 is 30° and 35°, respectively. Explain your assumptions. Draw the earth pressure diagrams (some of the earth pressures will be function of “d”, embedment depth). Find the embedment depth “d” using the simplified method. Find the maximum moment on the wall and minimum section modulus required.arrow_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_forwardThe figure below shows a proposed site where an excavation will be made. The 12 ft layer of sand will be removed, so that the top of the 30 ft normally consolidated clay layer will be exposed (Assume that changes in GWT do not affect γt of clay). a. Assume that the water-table location remains the same during excavation. Compute the σ, σ′v, and u values at the middle of the clay layer before and after the excavation b. Assuming 1-D conditions, compute how much the clay layer will deform due to this excavation, in inches. Specify whether this is settlement or heavearrow_forwardFind the depth of embedment of the cantilever sheet pile for a 6 m deep excavation in sandy soil layer for y = 18 kN/m3 and o = 35° for a factor of safety of 2.0.arrow_forward
- An unsupported excavation is made to the maximum possible depth in a clay soil having Y, = 18 kN/m³, C = 100 kN/m², o = 30°. The active earth pressure, according to Rankine's theory, at the base level of excavation is-arrow_forwardIn a clayey soil having 50 kN/m² as unit cohesion and 18 kN/m³ as unit weight, an excavation is made with a vertical face. Taking Taylor's stability number as 0.261, what is the maximum depth of excavation so that the vertical face remains stable?arrow_forwardA rectangular channel 4.8 m wide and 1.4 m deep was laid to have a hydraulic slope of 0.0017. Using n = 0.011. What is the capacity of the channel in m^3/sec? a. 27.758 b. 24.478 c. 20.359 d. 23.204 what is the savings in earth excavation could be realized by using the most economical section? a. 0.117 b. 0.104 c. 0.134 d. 0.109 what is the savings in lining per meter length could be realized by using the most economical proportion? a. 0.24 b. 0.28 c. 0.33 d. 0.34arrow_forward
- 1: An embankment is to be constructed by making use of sandy clay having the following properties: c' = 35 kN/m², o' = 25° and y= 19.5 kN/m³. The height of the embankment is 20 m with a slope of 30° with the horizontal as shown in below Figure. Estimate the factor of safety by the method of slices for the trial circle shown in the figure. 20 m 77 ww 25° A 30° 35° c'= 35 kN/m² p' = 25° y = 19.5 kN/m³ 25 marrow_forwardA natural site will be excavated to bring soil to backfill a 500m³ pit,Ks=1.2,K's=1.03.(1) Calculate the volume of excavation;(2) If the capacity of the truck is 4m³, how many trucks will transporte these soil? be used toarrow_forwardThe soil condition in the field is as follows: c = 20 kN/m², = 20°, Y = 20 kN/m³ The maximum depth of unsupported excavation is m.arrow_forward
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