Which one of the following diagrams represents the effective pressure distribution for a saturated soil mass of depth ‘Z’ submerged under water of height ‘Z1’ above its top level. (γsat = sat. density of soil, γw = unit wt. of water, γ' = submerged density of soil)?

Question

Which one of the following diagrams represents the effective pressure distribution for a saturated soil mass of depth ‘Z’ submerged under water of height ‘Z1’ above its top level. (γsat = sat. density of soil, γw = unit wt. of water, γ' = submerged density of soil)?

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 1 :

Submerged Soil Mass

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At section (1) – (1)

σ = 0

u = 0

σ' = σ – u

σ' = 0

At section (2) – (2)

σ = z₁y_w

u = z₁y_w

σ' = σ – u

σ' = 0

At section (3) – (3)

σ = z₁y_w + z₂ y_sat

u = (z₁ + z₂) y_w

σ' = σ – u

σ' = z₁y_w + z₂y_sat – z₁y_w – z₂y_w

σ' = z₂(y_sat – y_w)

σ' = z₂y'

y' = submerged unit wet.

Note:

If the water table is above the ground level, any change in the level of the water does not result in a change of effective stress, as with the change in the level of water both total stress and pore water pressure is change by the same extent.