   Chapter 8, Problem 8.10P Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

Solutions

Chapter
Section Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

Refer to the cross section of the earth dam shown in Figure 8.18. Calculate the rate of seepage through the dam (q in m3/min/m) using Schaffernak’s solution. To determine

Find the seepage rate through the dam q, in m3/min/m length using Schaffernak’s solution.

Explanation

Given information:

The height of the water level H is 25 m.

The height of the earth dam H1 is 30 m.

The length of earth dam top L1 is 5 m.

The hydraulic conductivity of the permeable soil layer k is 3×104m/min.

Calculation:

Refer Figure 8.18 in the textbook.

Determine the value of α using the relation.

tanα=VH

Here, V is the vertical distance in the slope and H is the horizontal distance in the slope.

Substitute 1 for V and 2 for H.

tanα=12α=tan1(0.5)α=26.57°

Determine the value of Δ using the relation.

Δ=2H

Substitute 25 m for H.

Δ=2×25=50m

Determine the distance d value using the relation.

d=2H1+L1+2(H1H)+0.3Δ

Substitute 30 m for H1, 5 m for L1, 25 m for H, and 50 m for Δ.

d=2×30+5+2(3025)+0.3×50=90m

Determine the length L value using the relation.

L=dcosαd2cos2αH2sin2α

Substitute 90 m for d, 26

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