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Sheet 5-Seepage

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COLLEGE OF ENGINEERING & TECHNOLOGY
Department : Construction and Building Engineering.
Course
: Soil Mechanics
Course No : CB 362
Sheet No. : [ 8 ] Seepage
Lecturer : Prof. Dr. Adel M. Belal
8.1 Refer to the constant-head permeability test arrangement in a two-layered soil as
shown in Figure 8.2. During the test, it was seen that when a constant head of h1= 200
mm was maintained, the magnitude of h2 was 80 mm. If k1 is 0.004 cm/sec,determine
the value of k2 given H1 = 100 mm and H2 = 150 mm.
8.2 Refer to Figure 8.18. Given:
• H1 = 6 m
•D=3m
• H2 = 1.5 m
• D1 = 6 m
draw a flow net. Calculate the seepage loss per meter length of the sheet pile (at a
right angle to the cross section shown).
8.3 Draw a flow net for the single row of sheet piles driven into a permeable layer as
shown in Figure 8.18. Given:
• H1 = 3 m
• D = 1.5 m
• H2 = 0.5 m
• D1 = 3.75 m
calculate the seepage loss per meter length of the sheet pile (at right angles to the
cross section shown)
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8.4 Refer to Figure 8.18. Given:
• H1 = 4 m
• D1 = 6 m
• H2 =1.5 m
• D = 3.6 m
calculate the seepage loss in m3/day per meter length of the sheet pile (at right
angles to the cross section shown). Use Figure 8.10.
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 m3/day/m.
8.6 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
8.7 Draw a flow net for the weir shown in Figure 8.20. Calculate the rate of seepage
under the weir.
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8.8 For the weir shown in Figure 8.21, calculate the seepage in the permeable layer in
m3/day/m for (a) x’ = 1 m and (b) x’ = 2 m. Use Figure 8.11.
8.9 An earth dam is shown in Figure 8.22. Determine the seepage rate, q, in m3/day/m
length. Given: α1 = 35°, α2 = 40°, L1 = 5 m, H = 7 m, H1 = 10 m, and k = 3 x 104 cm/sec.
Use Schaffernak’s solution.
8.10 Repeat Problem 8.9 using L. Casagrande’s method.
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