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Coefficient of active earth pressure for cohesion less soil is given by -
  • a)
    (1+sin⁡θ/1-sin⁡θ)
  • b)
    (1-sin⁡θ/1+sin⁡θ)
  • c)
    (1+tanθ/1-tan⁡θ)
  • d)
    (1+cos⁡θ/1-cos⁡θ)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Coefficient of active earth pressure for cohesion less soil is given ...
Coefficient of active earth pressure ((Ka))
(Ka=1−sin⁡θ/1+sin⁡θ)
(=tan2⁡(45−θ/2))
Where (θ)= angle of internal friction.
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Most Upvoted Answer
Coefficient of active earth pressure for cohesion less soil is given ...
Explanation:

Active Earth Pressure:
Active earth pressure is the lateral pressure exerted by soil on a retaining structure such as a wall. It is maximum when the soil is allowed to move away from the wall.

Coefficient of Active Earth Pressure:
The coefficient of active earth pressure for cohesionless soil is given by the expression:
\( K_a = \frac{1 - \sin\theta}{1 + \sin\theta} \)

Explanation of the Given Options:
- Option 'a': \( (1 + \sin\theta)/(1 - \sin\theta) \) is not the correct expression for the coefficient of active earth pressure.
- Option 'b': \( (1 - \sin\theta)/(1 + \sin\theta) \) is the correct expression for the coefficient of active earth pressure.
- Option 'c': \( (1 + \tan\theta)/(1 - \tan\theta) \) is not the correct expression for the coefficient of active earth pressure.
- Option 'd': \( (1 + \cos\theta)/(1 - \cos\theta) \) is not the correct expression for the coefficient of active earth pressure.
Therefore, the correct answer is option 'B' as it provides the accurate expression for the coefficient of active earth pressure for cohesionless soil.
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Coefficient of active earth pressure for cohesion less soil is given by -a)(1+sin⁡θ/1-sin⁡θ)b)(1-sin⁡θ/1+sin⁡θ)c)(1+tanθ/1-tan⁡θ)d)(1+cos⁡θ/1-cos⁡θ)Correct answer is option 'B'. Can you explain this answer?
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