Chapter 11, Problem 11.18P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

A 18-ft thick clay layer in the field (drained on one side) is normally consolidated. When the pressure is increased from 0.75 ton/ft^{2} to 1.5 ton/ft^{2}, the void ratio decreases from 1.12 to 0.98. The hydraulic conductivity, *k*, of the clay during the above loading range was found to be 4.3 × 10^{–7} cm/sec.

**a.**How long (in days) will it take for the clay layer to reach 70% consolidation?**b.**What is the settlement at that time (that is, at 70% consolidation)?

(a)

To determine

Calculate the time taken to reach

Explanation

**Given information:**

The thickness of the clay layer

The degree of consolidation

The pressure

The pressure

The void ratio

The void ratio

The hydraulic conductivity of the clay

**Calculation:**

Consider the unit weight of water

Calculate the change in void ratio

Substitute

Calculate the change in pressure

Substitute

Calculate the average void ratio

Substitute

Calculate the coefficient of compressibility

Substitute

Calculate the coefficient of volume compressibility

Substitute

(b)

To determine

Calculate the consolidation settlement at

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