The intensity of active earth pressure at a depth of 10 meters in dry cohesionless sand with an internal angle of friction of 30° and with a weight of 1.8 t/m3, is:

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OSSC JE Civil Mains (Re-Exam) Official Paper: (Held On: 3rd Sept 2023)
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  1. 5 t/m2
  2. 6 t/m2
  3. 7 t/m2
  4. 8 t/m2

Answer (Detailed Solution Below)

Option 2 : 6 t/m2
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Detailed Solution

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Concept:

Active earth pressure (Pa)

\(P_a=k_a\gamma H\)

Where ka = Coefficient of active earth pressure

\(\gamma=Unit\, weight\, of\, soil\)

H = Depth at which pressure calculate

Calculation:

Given

Depth of dry sand (H) = 10.0 m

Angle of shearing resistance (ϕ) = 30∘ 

Unit weight (\(\gamma\)) = 1.8 t/m3

F1 Vinanti Engineering 31.01.23 D36

Active earth pressure at depth H (Pa)

\(k_a×\gamma× H\)

Where \(k_a={1-sin\phi \over 1+sin\phi}={1-sin30^\circ\over 1+sin30^\circ}\)

ka = 0.333

Active earth pressure at depth 10.0 m (Pa) = 0.333 × 1.8 × 10

Active earth pressure (Pa) = 6 t/m2

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