Chapter 7, Problem 7.14P

Principles of Geotechnical Enginee...

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

Chapter
Section

Principles of Geotechnical Enginee...

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

For a sandy soil, the following are given:• Maximum void ratio = 0.86• Minimum void ratio = 0.4• Hydraulic conductivity at a relative density of 70% = 0.003 cm/secDetermine the hydraulic conductivity of the sand at a relative density of 50%. Use Eq. (7.31).

To determine

Find the hydraulic conductivity of the sand at relative density of 50 %.

Explanation

Given information:

The maximum void ratio (emax) is 0.86.

The minimum void ratio (emin) is 0.4.

The hydraulic conductivity (k1) of the sand at relative density of 70 % is 0.003 cm/sec.

Calculation:

Determine the void ratio (e1) using the relation.

(Dr)1=emaxe1emaxemin

Substitute 70 % for (Dr)1, 0.86 for emax, and 0.4 for emin.

70100=0.86e10.860.40.7×0.46=0.86ee1=0.860.322e1=0.538

Determine the void ratio (e2) using the relation.

(Dr)2=emaxe2emaxemin

Substitute 50 % for (Dr)2, 0

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