   Chapter 8, Problem 8.11P 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

Solve Problem 8.10 using L. Casagrande’s method.  8.10 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 L.Casaagrande’s method.

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 dH ratio.

Substitute 90 m for d and 25 m for H.

dH=9025=3

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