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In Boussinesq's solution to the problem of stress distribution, all the following assumptions are made, except:

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DDA JE Civil Official Paper Shift 1 (Held on 23 April 2018)
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  1. Soil mass is semi-infinite.
  2. The elastic modulus of soil is constant.
  3. Soil is homogeneous.
  4. Soil is anisotropic.

Answer (Detailed Solution Below)

Option 4 : Soil is anisotropic.
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Detailed Solution

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Explanation:

Assumptions made in Boussinesq’s Theory are:

  • Soil is homogeneous, semi-infinite, elastic, and isotropic.
  • Hooke’s law is valid.
  • Any change in the volume of soil due to the application of load is neglected.
  • Distribution of stresses along the vertical axis is symmetrical.
  • Self-weight of soil is neglected.
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Q1.By means of Boussinesq's stress distribution theory, which one of the following pressure distribution diagrams can be prepared?
Q2.Consider that a force P is acting on the surface of a half-space (Boussinesq’s problem). The expression for the vertical stress (σz) at any point (r, z), within the half-space is given as, \(\rm \sigma_z=\frac{3P}{2\pi} \frac{z^3}{_{(r^2+z^2)}\frac{5}{2}}\) where, r is the radial distance, and z is the depth with downward direction taken as positive. At any given r, there is a variation of σz along z, and at a specific z, the value of σz will be maximum. What is the locus of the maximum σz ?
Q3.Newmark's chart in foundation engineering is used to determine :
Q4.In Newmark's influence chart for stress distribution, there are eight concentric circles and ten radial lines. The influence factor of the chart is
Q5.From the following statements, select the most appropriate statement: Westergaard's analysis for stress computation within soil mass assumes.
Q6.A point load exerts a maximum vertical stress at a radial distance of 1 m and at a depth of :
Q7.Statement (A) : In Boussinesq's theory of stress computations, soil is considered to be un-stressed before application of the load. Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.
Q8.In Boussinesq's solution to the problem of stress distribution, all the following assumptions are made, except:
Q9.A load of 16 kN/m2 is uniformly distributed over a circular area of 6 m diameter at the ground surface. The vertical stress at a point P, which is at a depth of 5 m directly below the center of the loaded area will be
Q10.When a circular load of radius a with uniform pressure p is applied in the surface of a homogeneous layer, the vertical stress σz under the centre of the load at depth z is given by
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