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)

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) Correct Answer <img alt="RRB JE CE 3 9Q 14th Dec 2014 Shift 3 Yellow Revised Hindi - Final images Q4" src="//storage.googleapis.com/tb-img/production/19/02/RRB_JE_CE_3_9Q_14th%20Dec%202014_Shift_3_Yellow_Revised_Hindi%20-%20Final_images_Q4.PNG">

Submerged Soil Mass

[ alt="RRB JE CE 3 9Q 14th Dec 2014 Shift 3 Yellow Revised Hindi - Final images Q4d" src="//storage.googleapis.com/tb-img/production/19/02/RRB_JE_CE_3_9Q_14th%20Dec%202014_Shift_3_Yellow_Revised_Hindi%20-%20Final_images_Q4d.PNG" style="height: 132px; width: 450px;">

At section (1) – (1)

σ = 0

u = 0

σ' = σ – u

σ' = 0

At section (2) – (2)

σ = z1yw

u = z1yw

σ' = σ – u

σ' = 0

At section (3) – (3)

σ = z1yw + z2 ysat

u = (z1 + z2) yw

σ' = σ – u

σ' = z1yw + z2ysat – z1yw – z2yw

σ' = z2(ysat – yw)

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.

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