Soil Machanics and Foundation Engineering

1

The intensity of vertical pressure at a depth Z directly below the point load Q on its axis of loading is :

A. `(0.4775 Q)/(Z)`

B. `(0.4775 Q)/(Z^2)`

C. `(0.4775 Q)/(Z^3)`

D. `(0.4775 Q)/(sqrt(Z))`

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2: The area of cross-section A at failure or during any stage of Triaxial Compression Test and its initial length (L) and volume (V), are related by the equation

A. `A = (V + Delta V)/(L - DeltaL)`

B. `A = (V - Delta V)/(V + DeltaL)`

C. `A = (V - Delta V)/(L - DeltaL)`

D. `A = (V + Delta V)/(L + DeltaL)`

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3: If the bulk density of the soil is `rho` and water content `omega` then dry density of the soil, is

A. `1 + omega/rho`

B. `(1 + rho)/(omega)`

C. `(rho)/(1 + omega)`

D. `(omega)/(1 + rho)`

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A. `h = P/W ((1 - sin phi)/(1 + sin phi))^2`

B. `h = W/P ((1 - sin phi)/(1 + sin phi))^2`

C. `h = P/W ((1 - sin phi)/(1 + tan phi))^2`

D. `h = P/W ((1 - tan phi)/(1 + tan phi))^2`

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5: 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 :

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.

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