If `

Question

If `beta` is the
surcharge angle of a backfill with an angle of internal friction `phi`, the
coefficient of active earth pressure given by Rankine's theory, is :

Options:

A . `K_a = sin beta (sin beta - sqrt(sin^2beta - sin ^2 phi))/(sin beta + sqrt(sin^2beta - sin ^2 phi))`

B . `K_a = cos beta (cos beta - sqrt(cos^2beta - cos ^2 phi))/(cos beta + sqrt(cos^2beta - cos^2 phi))`

C . `K_a = tan beta (tan beta - sqrt(tan^2beta - tan ^2 phi))/(tanbeta + sqrt(tan^2beta - tan^2 phi))`

D . none of these.

Answer: Option B

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