   Chapter 11, Problem 11.13P 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

A 4-in clay layer in the field has a current effective stress of σ ′ 0 = 58   kN / m 2 . There is a net stress increase of Δ σ = 195   kN / m 2 due to a foundation load. Only four data points are available from a consolidation test on the clay, as shown. Estimate the primary consolidation settlement of the clay layer in the field. To determine

Calculate the primary consolidation settlement of the clay layer.

Explanation

Given information:

The thickness of the clay layer (H) is 4m.

The effective stress (σ0) is 58kN/m2.

The net stress increase (Δσ) is 195kN/m2.

The results (pressure and void ratio) of the data points are given in the Table.

Calculation:

Sketch the elogσ graph using the Table values.

Show the elogσ curve as in Figure 1.

Refer to Figure 1.

Calculate the void ratio (e1) as shown below.

Take the value of e1 as 1.06, for the value σ0 of 58kN/m2.

Calculate σ0+Δσ as shown below.

Substitute 58kN/m2 for σ0 and 195kN/m2 for Δσ.

σ0+Δσ=58+195=253kN/m2

Calculate the void ratio (e2) as shown below

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