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 2, Problem 2.9P
To determine
Find the seepage quantity across the entire wall per day.
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EXAMPLE 8.3
Seepage takes place around a retaining wall shown in Figure 8.8. The hydraulic con-
ductivity of the sand is 1.5 × 10-3 cm/s. The retaining wall is 50 m long. Determine
the quantity of seepage across the entire wall per day.
FIGURE 8.8
5 m
Retaining wall
Impervious layer
Sand
From the figure shown, H₁ = 0.60, H₂ = 0.90 m. and h = 0.45 m. The sand has
a saturated unit weight of 18.65 KN/m³. Hydraulic conductivity of sand K=
0.12 cm/sec. If the cross sectional area of tank = 0.46 m², determine the total
stress at point C in KPa.
h=0.45m
T
H₁-0.60 m
H₂-0.90 m
Direction
of flow
H₂O
Sand
1265
valve
open
From the figure shown, H₁ = 0.60, H₂ = 0.90 m. and h = 0.45 m. The sand has
a saturated unit weight of 18.65 KN/m³. Hydraulic conductivity of sand K=
0.12 cm/sec. If the cross sectional area of tank = 0.46 m², determine the rate
of upward seepage of water in liters /sec.
h=0.45m
T
H₂=0.60 m
H₂-0.90 m
Direction
of flow
H₂O
Sand
ILGS
G
valve
open
Chapter 2 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- 3. The upward flow of water through a layer of sand in the tank shown in figure has the following properties: e =0.50, G-2.67. Determine the following: a) Effective stress at point A b) Effective stress at point B c) Upward seepage force per unit volume of soil 0.8m 3.5m Supply of Water 0.5m A B 1.9marrow_forwardFrom the figure shown, H1 = 0.60, H2 = 0.90 m. and h = 0.45 m. The sad has a saturated unit weight of 18.65 kN/m3 . Hydraulic conductivity of sand K = 0.12 cm/sec. If the cross sectional area of tank = 0.46 m2 , determine the following: 1. Total stress and Effective stress at C. 2. Pore water pressure at C. 3. Rate of upward seepage of water in liters/sec.arrow_forwardSeepage takes place around a retaining wall shown in Figure Q5. The coefficient of permeability of the sand is 3×10−3 cm/s. If the retaining wall is 20m long, calculate the quantity of seepage across the entire wall per day.arrow_forward
- 7.10 The hydraulic conductivity of a sand at a void ratio of 0.5 is 0.022 cm/sec. Estimate its hydraulic conductivity at a void ratio of 0.7. Use Eq. (7.31). 7.18 A layered soil is shown in Figure 7.31. Estimate the ratio of equivalent hydraulic conductivity, kmeq/kvieg)- 1.5 m 1 m 1.5 m |k = 2 × 10-³ em/sec (top layer) | k = 2 × 10-4 cm/sec | k = 10-4 cm/sec | k = 3 × 10-4 cm/sec (bottom layer) Figure 7.31 -arrow_forwardSeepage around a retaining wall is shown in the figure below. The hydraulic conductivity of the sand is 1.8 x 10-5 cm/s. The retaining wall is 20 m long. Determine the quantity of seepage across the entire wall per dayarrow_forward2.8 A 500 m long levee made of compacted clay impounds water in a reservoir as shown in Figure P2.8. There is a 1 m thick (measured in the direction perpendicular to the seam) sand seam continuing along the entire length of the levee, at 10° inclination to the horizontal, which connects the reser- voir and the ditch. The hydraulic conductivity of the sand is 2.6 × 10-³ cm/s. Determine the volume of water that flows into the ditch every day.arrow_forward
- 8.5 For the hydraulic structure shown in Figure 8.19, draw a flow net for flow through the permeable layer and calculate the seepage loss in m/day/m Refer to Problem 8.5. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure) 8.6 25 m 10m 3.34 m 1.67 m 20 m k 0.002 em/sec I I 167 m 167 m Impermeable layer Permeable layer Figure 8.19 10uatetuaarrow_forwardWater flows in the upward direction in a tank through 2.5 m thick sand layer as shown in the figure. The void ratio and specific gravity of sand are 0.58 and 2.7, respectively. The sand is fully saturated. Unit weight of water is 10 kN/m³. Outward flow 1.2 m 1m water Sand 2.5m •A 1m Filter media Inward flow > The effective stress (in kPa, round off to two decimal places) at point A, located 1 m above the base of tank, is alicearrow_forwardA 39.4 ft thick layer of relatively impervious saturated clay lies over a gravel aquifer. Piezometer tubes introduced to the gravel layer show an artesian pressure condition with the water level standing in the tubes 9.8 ft above the top surface of the clay stratum. The properties of the clay are e = 1.2, G, = 2.7 and Ysat = 110.62lb/ft³ Determine (a) the effective stress at the top of the gravel stratum layer, and (b) the depth of excavation that can be made in the clay stratum without bottom heave. TIRSURS 39.4 ft Clay Gravel II TIRSURS TIRSURS Figure Ex. 5.12 49.2 ft TIRSURSarrow_forward
- 3 Seepage is occurring through the sandy layer underneath the concrete dam as shown in Figure 7.30. Concrete dam H₁ Seepage H₂ H₂ Sandy layer Impervious rock PXSXX2X L Figure 7.30 Given: upstream water level, H₁ = 16 m; downstream water level, H₂ = 2.3 m; thickness of the sandy layer, H, = 0.75 m; hydraulic conductivity of the sandy layer, k = 0.009 cm/sec; void ratio of sand, e = 0.8; and L = 45 m. Determine: a. Rate of seepage per unit length of the dam (in m³/hr/m) b. Seepage velocity c. Quantity of seepage per day if the dam is 350 m longarrow_forwardFrom the figure shown, the thickness of permeable layer is 1.1m making an angle of 14 degrees with the horizontal. K= 4.87x10^-12 cm/sec. If the vertical thickness depth of the aquifer at point of the first piezometer (left) is 1.5m and the other point at second piezometer is 1.1m, determine the seepage velocity. h=1.4 m Direction of seepage impervious layer 3 m 14 1.1 m impervious layer 14 -36 m-arrow_forwardFrom the figure shown, the thickness of permeable layer is 1.1m making an angle of 14 degrees with the horizontal. K= 4.87x10^-12 cm/sec. If the vertical thickness depth of the aquifer at point of the first piezometer (left) is 1.5m and the other point at second piezometer is 1.1m, determine the area of flow. h=1.4 m Direction impervious layer of seepage 3 m 14 1.1 m impervious layer 14 -36 m-arrow_forward
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