What are the assumptions made in Boussinesq formula for stress distribution in soil?

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What are the assumptions made in Boussinesq formula for stress distribution in soil?

The assumptions made are based on theory of elasticity. Explanation: Boussinesq solved the problems of stress distribution in soils due to a concentrated loads acting at the ground surface. The assumptions made are based on theory of elasticity. Therefore, the soil is considered to be elastic.

How do you calculate horizontal stress in soil?

The horizontal stress is customarily expressed as a proportion of the vertical stress σH = K’o σv = K’o ρd gz (3.2) where K’o = coefficient of earth pressure at rest in terms of effective stresses (see equation (3.7)).

What are the assumption of Boussinesq equation?

Boussinesq’s theory formula is based on following assumptions. The soil mass is semi-infinite, homogeneous and isotropic. The soil has a linear stress-strain relationship, The soil is weightless.

How do you calculate stress distribution?

Determine vl stress σz at point A(r,z) = (2, 2 ) where Q = 100 KN/m. To calculate stresses distribution under triangular strip load must be known the distances C, Z, X. The distance X measured from zero load to direction of point (A).

Which is more accurate method of determining the vertical stress at any point?

Explanation: The Influence chart or the influence diagram is a more accurate method of determining the vertical stress at any point under a uniformly loaded area of any shape than the equivalent point load method.

What is effective stress in soil?

Effective stress can be defined as the stress that keeps particles together. In soil, it is the combined effect of pore water pressure and total stress that keeps it together. It can also be defined in equation form as the total stress minus the pore pressure.

What is minimum horizontal stress?

In most cases, the minimum horizontal stress is the closure stress unless a thrust fault environment is encountered. When the maximum principal stress is in the vertical direction, a vertical fracture will be created and propagate parallel to the σh,max orientation and perpendicular to the σh,min orientation.

What is the effective stress in soil?

Which of the following tubes are used in the constant head test?

Which of the following tubes are used in the constant head test? Explanation: The constant head test apparatus consists of three tubes: the inlet tube, the overflow tube and outlet tube.

What is the shape of stress distribution below the ground surface called ____?

Explanation: An isobar is a curve or contour connecting all points below the ground surface or ground level of equal vertical pressure. In an isobar, at each and every point the vertical pressure is same.

How does Boussinesq calculate stress in soil medium?

Draw a soil medium subjected to point load on its upper surface and stress distribution as shown in Figure (1). Boussinesq derived the equation of vertical stress and shear stress in a soil medium.

When did Boussinesq solve the problem of stress distribution?

Clarification: Boussinesq in 1885 studied and solved the problems of stress distribution in soils due to a concentrated loads acting at the ground surface, by assuming a suitable stress function. The assumptions made are based on theory of elasticity. 3. The assumption of Boussinesq equation is that the soil is ______________

When to use Boussinesq’s point load equation?

Point load equations like Boussinesq’s equation. 2:1 approach is used to calculate an average or mean vertical stress taken at the layer existing at depth z. This technique follows the procedure that the stresses from the loaded edge points distribute at an angle 2 vertical to 1 horizontal.

How is vertical stress expressed in the soil?

Westergaard treated the soil as an elastic medium to be laterally reinforced with a large number of infinitely thin, perfectly rigid horizontal sheets that allow only vertical movement but prevent the mass as a whole from undergoing any lateral strain and showed that the vertical stress can be expressed as follows:

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