The change in void ratio due to increase in effective pressure by 1kg/cm^2 is 0.1. Initial void ratio is 0.4.The thickness of soil stratum =7m. Consolidation settlement in 'cm' is?

Question

Answer

Mv= ∆e/((1+eo)�∆�) = 0.0714

∆H= ∆��Mv� H = 50

Answer

Calculation of Consolidation Settlement

Given Data

Change in void ratio = 0.1

Initial void ratio = 0.4

Effective pressure increase = 1 kg/cm^2

Thickness of soil stratum = 7 m

Solution

First, we need to find the final void ratio:

Change in void ratio = (e2 - e1) / e1

0.1 = (e2 - 0.4) / 0.4

e2 = 0.44

Now, we can use the formula for consolidation settlement:

s = (Cc * H * Δσ) / (1 + e0) * log10 (tf / ti)

Where,

Cc = Coefficient of consolidation

H = Thickness of the soil stratum

Δσ = Increase in effective stress

e0 = Initial void ratio

tf = Final time

ti = Initial time

Assuming Cc = 0.5 year^-1:

s = (0.5 * 7 * 1) / (1 + 0.4) * log10 (1) = 1.05 cm

Explanation

Consolidation settlement is the process by which soil settles due to the application of a load. It occurs in fine-grained soils such as silt and clay, which are characterized by their low permeability and high compressibility.

The consolidation settlement depends on various factors such as the thickness of the soil stratum, the initial void ratio, the increase in effective stress, and the coefficient of consolidation. The formula for consolidation settlement takes all these factors into account and gives us the settlement value.

In this problem, we were given the change in void ratio, initial void ratio, increase in effective stress, and thickness of the soil stratum. Using these values, we calculated the final void ratio and then used the formula for consolidation settlement to find the settlement value.

Answer

8

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