   Chapter 8, Problem 8.8P 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

An earth dam is shown in Figure 8.27 Determine the seepage rate, q, in m3/day/m length. Given: α 1 = 35 ° , α 2 = 40 ° , L1 = 5 m, H = 7 m, H1 = 10 and k = 3 × 10–4 cm/sec. Use Schaffernak’s solution. To determine

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

Explanation

Given information:

The given angle α1 is 35°.

The given angle α2 is 40°.

The height of the water level H is 7 m.

The height of the earth dam H1 is 10 m.

The length of earth dam top L1 is 5 m.

The hydraulic conductivity of the permeable soil layer k is 3×104cm/sec.

Calculation:

Determine the value of Δ using the relation.

Δ=Hcotα1

Substitute 7 m for H and 35° for α1.

Δ=7cot35°=7×cos35°sin35°=10m

Determine the distance d value using the relation.

d=H1cotα2+L1+(H1H)cotα1+0.3Δ

Substitute 10 m for H1, 40° for α2, 5 m for L1, 7 m for H, 35° for α1, and 10 m for Δ.

d=10cot40°+5+(107)cot35°+0.3×10=10cos40°sin40°+5+(107)cos35°sin35°+0.3×10=24.2m

Determine the length L value using the relation

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