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Principles of Geotechnical Enginee...

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

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

Consider the soil profile shown in Figure 11.47 subjected to the uniformly distributed load, ∆σ, on the ground surface. Given: Δ σ = 930 lb / ft 2 , H 1 = 4.5 ft , H 2 = 9 ft and H 3 = 16 ft . Soil characteristics are

Sand: γd = 112 lb/ft3; γsat = 123 lb/ft3

Clay: γsat = 119 lb/ft3; LL = 46; e = 0.71; C s = 1 5 C c

Estimate the primary consolidation settlement of the clay if

  1. a. The clay is normally consolidated
  2. b. The preconsolidation pressure, σ c = 2100 lb / ft 2

images

(a)

To determine

Calculate the primary consolidation settlement of the clay if the clay is normally consolidated.

Explanation

Given information:

The net applied pressure (Δσ) is 930lb/ft2.

The height of the sand layer 1 (H1) is 4.5ft.

The height of the sand layer 2 (H2) is 9ft.

The height of the clay layer 3 (H3) is 16ft.

The dry unit weight of sand (γd) is 112lb/ft3.

The saturated unit weight of sand (γsat)sand is 123lb/ft3.

The saturated unit weight of clay (γsat)clay is 119lb/ft3.

The void ratio (e0) is 0.71.

The liquid limit (LL) is 46.

The swell index (CS) is 15CC.

Calculation:

Consider the unit weight of water (γw) is 62.4lb/ft3.

Calculate the compression index (CC) using the relation.

CC=0.009(LL10)

Substitute 46 for LL.

CC=0.009(4610)=0.324

Calculate the average effective stress at the middle of the clay layer (σo) as shown below.

σo=γdH1+((γsat)sandγw)H2+((γsat)clayγw)×H32

Substitute 112lb/ft3 for γd, 123lb/ft3 for (γsat)sand, 62

(b)

To determine

Calculate the primary consolidation settlement of the clay if the preconsolidation pressure σC=2,100lb/ft2.

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