Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 8, Problem 8.7P
(a)
To determine
Find the seepage in the permeable layer in
(b)
To determine
Find the seepage in the permeable layer in
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Solve 8.C.1
Consider the hydraulic structure shown in the figure below. In the flow net for flow through the permeable layer, the number of flow channels is Nf
= 5 and the number of potential drops is Ng = 12 Calculate the seepage loss.
25 m
10 m
1.67 m
3.34 m
20 m
k = 0.002 cm/sec
1.67 m
1.67 m
Permeable layer
| Impermeable layer
Select the correct response:
7.21 m3/day/m
O 2.17 m/day/m
6.28 m3/day/m
O 6.82 m/day/m
11
Water flows at the rate of 4 x 10-2 cm³/s through a cylindrical sand sample with a
diameter of 10 cm and a coefficient of permeability of 8 x 10-4 cm/s. In Case I, the flow
is in upward direction, as shown in Figure 3a. In Case II, the flow is in downward
direction, as shown in Figure 3b.
For each case:
a). The total head loss through the sand.
b).
The total stress, the effective stress and the PWP at points A, B and C if the
soil has a saturated unit weight of 19 kN/m³.
a). Case I
9 cm
12 cm
12 cm
▼
C
B
A
D = 10 cm
9 cm
12 cm
12 cm
b). Case II
Figure 3. Seepage through soil
▼
с
B
A
?
D = 10 cm
Chapter 8 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- From 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 flow rate. h=1.4 m Direction impervious layer of seepage 3 m 14 1.1 m impervious layer L. 14arrow_forwardQ.1. The figure below shows the flow net for seepage under a concrete dam. The is silty sand with coefficient of permeability of 4X104 cm/sec, a void ratio of 0.6 and specific gravity of 2.7. The height of water upstream is H=( 6+) (a) Determine the flow rate under the dam in m/day per m length of the dam. (b) Determine the water pressure distribution at the base of the dam. (Select 3 points under the base. Comment on your results. m (where X is your group number). (c) From (b), calculate the resultant uplift force and its location from the upstream face of the dam. Also, calculate the weight of the dam to prevent uplift using a factor of safety of 5. (d) What is the factor of safety against piping? Is the dam safe? (e) Calculate the total vertical overburden stress, pore water pressure and the effective vertical overburden stress at Points A and B. Comment on your results. H 17.5 m 1.25 m x B 4 m Impervious clayarrow_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
- Refer to the cross section of the earth dam shown below. Calculate the rate of seepage through the dam (q in m/min/m) using Schaffernak's and Casagrande's solutions. +7 m→| 3 m G.W.T. 1 32 m 2.0 2.0 Impermeable layerarrow_forwardOTO 1 × 1. For the flow net shown below, if the coefficient of permeability of the soil below the dam is (5.3x10-5 cm/sec) and ysat 17.7 KN/m³, find the following: (a)- The rate of seepage (m³/sec/m). (b)- The uplift force underneath the dam. (c)- The driving head at point M. (d)- The effective stress at points L and N. (e)- If the weight of the dam is 120 KN/m2, calculate the effective stress at point O. [Hint: Assume the weight of the dam is constant with depth] 희 0 mum < i-i ||| مزر للأعلى لاستعراض الفلاتر م إضافة شرح..arrow_forwardfor the hydraulic structure shown in figure 8.19 draw a flow net through the permeable layer and calculate the seepage loss in m3/day/marrow_forward
- b) For h 150 mm, 175 ml of water was collected in 15 minutes. Find the 15% followings. 4) i) Soil permeability. ii) Effective vertical stress at A which is a point exists 220 mm below the top of the sample. See the flow net shown in Fig. Q4 for analysing the seepage beneath the concrete dam. 5 m H=3m 08m 12 m R 3 m 교 Datum TH=0 m Fig. Q 4 a) Compute the flow rate through the soil beneath the concrete dam. Consider 10% the soil permeability as 3.2 * 104cm/s. b) Compute the pore water pressures at points A, B, and C. 15% End of Question Paper 3arrow_forwardThe section through part of a cofferdam is shown in Figure 2.25, the coefficient of permeability of the soil being 2.0 × 10-6 m/s. Draw the flow net and determine the quantity of seepage. 2.00 m AVA 3.00 m 3.00 m 3.50 m Figure 2.25arrow_forwardA cofferdam (a temporary dam for construction purposes) is built across the mouth of a small bay. It is 41.15 m in length and is underlain by a permeable sand layer as shown in Figure 2. Water seeps through this sand (K=0.064 cm/s) and must bepumped out. Find the total seepage per day.arrow_forward
- Problem 7.4 only.arrow_forwardRefer to Problem 8.4. 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).8.24 For the hydraulic structure shown in Figure 8.24, draw a flow net for flow through the permeable layer and calculate the seepage loss in m3/day/m.arrow_forward#18 A non isotropic soil supporting the dam as shown in the figure. The flow net has 4 flow channels and 20 equipotential drops. Coefficient of permeability of soil. Vertical coefficient of permeability: Kv = 0.002 m/day Horizontal coefficient of permeability: Kx = 0.018 m/day 12m 4marrow_forward
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