Rectangular loads on inhomogeneous elastic soil

Brown, P T; Gibson, R. E.

doi:10.1016/0148-9062(74)91580-0

Cited by 1 publication

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“…when the displacement in z direction caused by a uniform load acting in the same direction is sought. In this instance we have "R (7) and the displacement component u XX is given by…”

Section: Mathematical Derivationmentioning

confidence: 99%

See 1 more Smart Citation

Surface Displacements of a Non-Homogeneous Elastic Half-Space Subjected to Uniform Surface Tractions. Part Ii: Loading on Rectangular Shaped Areas

Stark

Booker

1997

Int. J. Numer. Anal. Meth. Geomech.

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An alternative approach for calculating the surface displacements of a non-homogeneous half-space acted upon by a vertical and/or horizontal load, uniformly distributed over a rectangular area, is presented in this part of the paper. The procedure proposed proves to be extremely efficient since the displacements can be found without numerical integration for this special loading pattern. Comparisons with solutions for rectangular loaded areas on Boussinesq-and Gibson-type soil show perfect agreement. In the case of the non-homogeneous half-space the procedure was checked using the method outlined in the first part of this paper revealing that both approaches come up with identical answers. Some results of a parametric study are presented for the surface displacements of a non-homogeneous half-space subject to vertical and horizontal loading. In this study both the material properties of the soil mass, i.e. Young's modulus and Poisson's ratio and the aspect ratio of the loading are varied. These results are presented in the form of influence charts which may readily be used in hand calculations for estimating the displacements of footings on a nonhomogeneous soil.

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“…when the displacement in z direction caused by a uniform load acting in the same direction is sought. In this instance we have "R (7) and the displacement component u XX is given by…”

Section: Mathematical Derivationmentioning

confidence: 99%

“…Using the second partial derivatives of (7) with respect to u and v are and setting " #4, can be expressed by , i.e.…”

Section: Mathematical Derivationmentioning

confidence: 99%