#### 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))

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)

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)

4

According to Rankine's fromula, the minimum depth of foundation

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

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.