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 7, Problem 7.7CTP
To determine
Find the quantity of water has to pumped out per meter length per day.
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A flow net for flow around a single row of sheet piles in a permeable soil layer is
shown in Figure below with a scale as shown. Given that kx = kz=k = 4 x 10-3
cm/sec, determine
How high (above the ground surface) the water will rise if piezometers are placed at points a and b
The total rate of seepage through the permeable layer per unit length
The approximate average hydraulic gradient at c
factor of safety against piping
x=1.6 y=2.8
Question:
A flow net for flow around a single row of sheet piles in a permeable soil layer is shown in
Figure 1. Given that
k = 5 + 10-5 mm/sec
Ya = 20 kN/m³
w = 21%
n = 20%
Determine,
a) How high [m] the water will rise if piezometer is placed at point B (above point B).
b) The total rate of seepage [m/s/m] through the permeable layer per unit length.
c) Magnitudes of effective vertical stress [kN/m³] at A and B.
Sheet
piling
4.00 m
8.00 m
1.00 m
11.00 m
FC
6.00 m
8.00 m
Datum
Figure 1
The weir shown below is 50 m long
● Draw a flow net for the flow under the weir
Calculate the rate of seepage for the entire weir.
Calculate the total uplift force acting on the weir base.
Calculate the exit hydraulic gradient near the toe of the weir
●
●
קק →★★
10 m
24 m
37 m
Sheet pile
==1.5 m
3 m
9 m
k = 10-3 cm/sec
Impermeable layer
Chapter 7 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A flow net for flow around a single row of sheet piles in a permeable soil layer is shown in Figure. Given that kx = kz = k = 5x10-3 cm/sec, determine: a) How high (above the ground surface) the water will rise if piezometers are placed at points a and b. %3D b) The rate of seepage through the permeable layer per unit length. c) The approximate average hydraulic gradient at c. Water level 5.6 m Water table 2.2 m Ground surface How channel 1 Flow channel 2 = 1 1 a How channel 3 0.38 Scale 5 m Impervious layer 1. - 01arrow_forwardA flow net for flow around a single row of sheet piles in a permeable soil layer is shown in the Figure below. Given that kx= kz = k= 5.5 x 10-3 cm/sec, H1 = 6.5 m and H2 = 2.3 m determine: i. How high (above the ground surface) the water will rise if piezometers are placed at points a and b ii. The total rate of seepage through the permeable layer per unit length iii. The approximate average hydraulic gradient at carrow_forwardThe flow net for flow around a single row of sheet piles in a permeable soil later is shown. Given that c = 1.2 and D10 = 0.010mm a. Determine the coefficient of permeability b. Determine the head at point A measured from the ground surface c. Determine the head at point B d. Determine the head at point C e. Determine the head at point D for. Determine the rate of seepagarrow_forward
- A deposit of cohesionless soil with a permeability of 0.3 mm/s has a depth of 12 m with impervious ledge below. A sheet pile wall is driven into this deposit to a depth of 8 m. The wall extendsabove the surface of the soil, and a 3 m depth of water acts on one side. Sketch the flow net and determine the seepage quantity. Provide a diagram a.600 ml/s/meter length b.300 ml/s/meter length c.900 ml/s/meter length d.1200 ml/s/meter lengtharrow_forward2):(A): Derive the basic differential equation of Terzaghi's one dimensional consolidation theory for saturated soils. (B): For the concrete dam shown in figure below. The water heads are 16 m on the upstream side and 2 m on the downstream side. 1- Calculate the seepage loss through the subsoil per unit length if the average value of the hydraulic conductivity is (6x10³ cm/sec) horizontally and (3x10 cm/sec) vertically. 2- Calculate the exit gradient if the average length of the last square is 0.9 m. XXX Impervious Dam Permeable Xxxxxarrow_forwardNote:hand written solution should be avoided.arrow_forward
- Example 3: A flow net for flow around a single row of sheet piles in a permeable soil layer is shown below Given that K, = K, =K = 5 x 10-3 cm/sec, determine 1. How high (above the ground surface) the water will rise if piezometers are placed at points a and b. 2. The total rate of seepage through the permeable layer per unit length. 3. The approximate average hydraulic gradient at Water level 5.6 m Water table 2.2 m Ground surface Flow channel I Flow channel 2 Flow channel 3 b. 0.38 Scale 5 m Impervious layerarrow_forwardAn earthdam has a crest width of 15 feet , total height of 40 feet and the inclinations at heel and at toe both at 45 degrees w.r.t. the horizontal. If the coefficient of permeability of the earthdam material is 0.00042 ft/min, determine the seepage rate in cubic feet/day/ft of dam. Height of water at upstream is 30 feet. Use Dupuit's method. O 3.8428 O.00277 O 3.5873 O.00267 |ooooarrow_forwardA 500 m long levee made of compacted clay impoundswater in a reservoir as shown in attached Figure There is a 1 mthick (measured in the direction perpendicular to the seam)sand seam continuing along the entire length of the levee, at10° inclination to the horizontal, which connects the reservoirand the ditch. The hydraulic conductivity of the sand is2.6 X 10-3 cm/s. Determine the volume of water that flowsinto the ditch every day.arrow_forward
- A flownet for flow around a single row of sheet piles in a permeable soil layer is shown in Figure 1 below. Given the hydraulic conductivity is 5 x 10-3 cm/sec. Determine:arrow_forward8. Known:Rectangular Hydraulic •Q = 18 m^3 /s •channel, 3 m wide • Unfinished form concrete channel • jump occurs at a depth of y1 = 1 m Determine: Velocity before hydraulic jump and Depth after hydraulic jumparrow_forwardQUESTION 1 Kindly answer correctly. Please show the necessary stepsarrow_forward
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