According to Rankine's formula minimum depth of foundation when q = 180 kN/m2, γ = 20 kN/m3 and ϕ = 30° is -

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RSMSSB JE Civil (Degree) May 2022 Official Paper
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  1. 1.0 m
  2. 0.75 m
  3. 0.50 m
  4. 2.0 m

Answer (Detailed Solution Below)

Option 1 : 1.0 m
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Detailed Solution

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Concept:

Rankine's formula provides guidance on the minimum depth of foundation based on the bearing capacity of the soil.

Therefore the depth of the foundation can be expressed as,

Where D= Minimum depth of foundation, qu = Ultimate bearing capacity of the soil

Calculation:

Intensity of loading (qu) =180 kN/m2,

Unit weight = 20 kN/m3 and angle of internal friction (ϕ) = 30°

Depth of foundation = 

Depth of foundation (Df) = 1.0 m

Hence, According to Rankine's formula, the minimum depth of foundation is 1.0 m.

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