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A line load of infinite length has an intensity q per unit length. What is the vertical stress σ_{z }at a depth z below the earth at the centre of the load?
σ_{z} is the vertical stress at a depth equal to z in the soil mass due to a surface point load Q. The vertical stress at depth equal to 2z will be
Under the point load, the vertical stress is given by,
(From Boussinesq’s equation at r/z = 0)
∴
In a Newmark’s influence chart for stress distribution, there are 10 concentric circles and 50 radial lines. The influence factor of the chart is
Match ListI (Contact pressure distribution diagrams) with ListII (Description of footings) and select the correct answer using the codes given below the lists:
ListI
ListII
1. Rigid footing on cohesive soil
2. Flexible footing on cohesive soil
3. Rigid footing on cohesionless soil at ground level
4. Flexible footing on cohesionless soil at ground level
The intensity of vertical pressure, directly below a concentrated load of 3/2π tonnes at a depth of 3/2π metres is given by
According to Boussinesq’s theory,
Boussinesq’s influence factor for vertical pressure at depth Z and at the centre of a circular area of diameter A carrying uniformly distributed load is
∴
∴
Match ListI with ListII and select the correct answer using the codes given below the lists:
ListI
A. Stress distribution due to point load in homogeneous isotropic medium
B. Stress distribution due to point load in an anisotropic soil medium
C. Influence chart for stress distribution in a rectangular area
D. Influence chart for stress distribution in irregularly shaped areas.
ListII
1. Stein Brenner
2. Newmark
3. Boussinesq
4. Westergaard
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