   Chapter 11, Problem 11.11P 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

Refer to Figure 11.47. Estimate the primary consolidation settlement in the clay layer. Given: Δ σ = 105   kN / m 2 , H 1 = 2.2   m , H 2 = 4.4   m , and H 3 = 7.5   m . Soil characteristics areSand: e = 0.58; Gs = 2.67Clay: LL = 49; e = 1.08; Gs = 2.71; σ ′ c = 210   kN / m 2 ; C s = 1 6 C c To determine

Calculate the primary consolidation settlement of the clay layer.

Explanation

Given information:

The net applied pressure (Δσ) is 105kN/m2.

The height of the sand layer 1 (H1) is 2.2m.

The height of the sand layer 2 (H2) is 4.4m.

The height of the clay layer 3 (H3) is 7.5m.

The void ratio of sand (e) is 0.58.

The specific gravity of soil solids for sand (Gs) is 2.67.

The void ratio of clay (e) is 1.08.

The specific gravity of soil solids for clay (Gs) is 2.71.

The liquid limit (LL) is 49.

The preconsolidation pressure (σc) is 210kN/m2.

The swell index (CS) is 16CC.

Calculation:

Consider the unit weight of water (γw) is 9.81kN/m3.

Calculate the dry unit weight of sand (γd(sand)) using the relation.

γd(sand)=Gsγw1+e

Substitute 2.67 for Gs, 9.81kN/m3 for γw, and 0.58 for e.

γd(sand)=2.67×9.811+0.58=26.191.58=16.57kN/m3

Calculate the saturated unit weight of sand (γ(sand)) using the relation.

γ(sand)=(Gs1)γw1+e

Substitute 2.67 for Gs, 9.81kN/m3 for γw, and 0.58 for e.

γ(sand)=(2.671)×9.811+0.58=16.381.58=10.36kN/m3

Calculate the saturated unit weight of clay (γ(sand)) using the relation.

γ(clay)=(Gs1)γw1+e

Substitute 2.71 for Gs, 9.81kN/m3 for γw, and 1.08 for e.

γ(clay)=(2.711)×9.811+1.08=16.7752.08=8.06kN/m3

Calculate the compression index (CC) using the relation.

CC=0.009(LL10)

Substitute 49 for LL.

CC=0.009(4910)=0.351

Calculate the swell index (CS) using the relation as shown below.

CS=16CC

Substitute 0

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