Consider the setup below in which three different soil layers, each 200 mm in length, are located inside a cylindrical tube of diameter 150 mm. A constant-head difference of 470 mm is maintained across the soil sample. The porosities and hydraulic conductivities of the three soils in the direction of the flow are as given in the following table: Soil I II n 0.5 0.6 0.33 k (cm/sec) 5 x 10-³ 4.2 x 10² 3.9 x 10 Perform the following tasks: a. Determine the quantity of water flowing through the sample per hour. b. Denoting the downstream water level (Y-Y) to be the datum, determine the elevation head, pressure head, and the total head at the entrance and exit of each soil layer. c. Plot the variation of the elevation head, pressure head and the total head with the horizontal distance along the sample axis (X-X). d. Plot the variations of discharge velocity and the seepage velocity along the sample axis. e. What will be the height of the vertical columns of water inside piezometers A and B installed on the sample axis? Water supply Soil I Soil II B Soil III 200 mm 200 mm 200 mm Constant-head difference = 470 mn 220 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Consider the setup below in which three different soil layers, each 200 mm in length, are
located inside a cylindrical tube of diameter 150 mm. A constant-head difference of 470 mm is
maintained across the soil sample. The porosities and hydraulic conductivities of the three soils
in the direction of the flow are as given in the following table:
Soil
I
n
0.5
0.6
0.33
Water supply
k (cm/sec)
5 x 10-³
4.2 × 10 2
3.9 X 10+
Perform the following tasks:
a. Determine the quantity of water flowing through the sample per hour.
b. Denoting the downstream water level (Y-Y) to be the datum, determine the elevation head,
pressure head, and the total head at the entrance and exit of each soil layer.
c. Plot the variation of the elevation head, pressure head and the total head with the horizontal
distance along the sample axis (X-X).
d. Plot the variations of discharge velocity and the seepage velocity along the sample axis.
e. What will be the height of the vertical columns of water inside piezometers A and B installed
on the sample axis?
Soil I
A
Soil II
B
Soil III
200 mm 200 mm 200 mm
X
Constant-head
difference = 470 mn
220 mm
Transcribed Image Text:Consider the setup below in which three different soil layers, each 200 mm in length, are located inside a cylindrical tube of diameter 150 mm. A constant-head difference of 470 mm is maintained across the soil sample. The porosities and hydraulic conductivities of the three soils in the direction of the flow are as given in the following table: Soil I n 0.5 0.6 0.33 Water supply k (cm/sec) 5 x 10-³ 4.2 × 10 2 3.9 X 10+ Perform the following tasks: a. Determine the quantity of water flowing through the sample per hour. b. Denoting the downstream water level (Y-Y) to be the datum, determine the elevation head, pressure head, and the total head at the entrance and exit of each soil layer. c. Plot the variation of the elevation head, pressure head and the total head with the horizontal distance along the sample axis (X-X). d. Plot the variations of discharge velocity and the seepage velocity along the sample axis. e. What will be the height of the vertical columns of water inside piezometers A and B installed on the sample axis? Soil I A Soil II B Soil III 200 mm 200 mm 200 mm X Constant-head difference = 470 mn 220 mm
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