Boussinesq equation

What is Boussinesq theory?

The Boussinesq method uses the theory of elasticity to calculate the vertical stress under a point load in a homogeneous, semi-infinite half space: The Multiple Layer stress computation method takes into account the stiffness (elastic modulus) of each soil layer, when computing the stress distribution due to loading.

What is boussinesq influence factor?

Here, is the Poisson’s ratio of elastic soil medium and Poisson’s ratio range is 0-0.5 for linear elastic materials and. is the Westergaard influence factor. The Boussinesq’s equation gives larger values of vertical stress when , which means that the stress increase is significant.

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

Pressure Distribution : (i) Vertical stress distribution on a horizontal plane, at a depth „z‟ below the ground surface. (ii) Vertical stress distribution along a vertical line, at a distance „r‟ from the line of action of the single concentrated load.

What is stress distribution in soil?

Stress Distribution in The Soil At a point within a soil mass, stresses will be developed as a result of the soil lying above the point and by any structural or other loading imposed onto that soil mass . Stress in the soil may be caused by: Self weight of soil. Applied load on soil.4 дня назад

What is Westergaard theory?

In this theory, the elastic soil is intermixed with the infinite thin rigid layer that allows the vertical movement, but there will be no horizontal movements. In this theory, it mainly reduces the stress below the load center.

How do you calculate vertical stress?

Total stress below a river or lake The total stress is the sum of the weight of the soil up to the surface and the weight of water above this: Vertical total stress at depth z, sv = g . z + gw .

What is vertical stress?

In other words the vertical stress (σv) and horizontal stress (σH) are principal stresses. The vertical stress on element A can be determined simply from the mass of the. overlying material. If ρd represents the density of the soil, the vertical stress is. σv = ρd gz.

How do you use Newmark’s chart?

The procedure used in constructing Newmark’s influence chart ensures that each part or unit area in the chart would exert a vertical stress of 0.005g at the center at depth z. The scale, to which the chart is drawn, is specified in the form of line AB, which is equal to the depth z to the scale of the chart.

What is a pressure bulb?

[′presh·ər ‚bəlb] (civil engineering) The zone in a loaded soil mass bounded by an arbitrarily selected isobar of stress.

What is Geostatic stress?

Geostatic Stress/strain revolves completely around forces on a particular point in the ground. By multiplying the unit weight of the rock by the vertical distance to the particular point, A, below the ground we get a force per square area. The resultant is a pressure force or stress.

What is Isobar in geotechnical engineering?

An isobar or pressure bulb is a stress contour or a line which connects all points below the ground surface at which the vertical pressure is the same. Thus, the stress isobar is also called the ‘bulb of pressure’ or simply the ‘pressure bulb’.

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