Analysis of a rigid footing lying on three-layered soil using the finite difference method |
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Authors: | Priti Maheshwari M R Madhav |
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Institution: | (1) Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India;(2) Department of Civil Engineering, J.N. Technological University, 159 Road No. 10, Banjara Hills, Hyderabad, 500034, India |
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Abstract: | A numerical procedure is described for the analysis of the vertical deformation and the stress distribution of the strip footings
on layered soil media. Three layers of soil with different stiffness are considered with the middle soil layer the thinnest
and most stiff layer. The soil media is discretized and using the theory of elasticity, the governing differential equations
are obtained in terms of vertical and horizontal displacements. These equations along with appropriate boundary and continuity
conditions are solved by using the finite difference method. The vertical and horizontal displacements, strains and stresses
are found at various nodes in the soil media. Parametric studies are carried out to study the effect of the placement depth
of the middle soil layer, the relative ratios of the moduli of deformation of the soil layers on the vertical displacement
of the footing and the vertical stress distribution. These studies reveal that the middle thin but very stiff layer acts like
a plate and redistributes the stresses on the lower soft soil layer uniformly. The displacement on the top and bottom of the
middle soil layer is almost the same showing that the compression of the middle layer is negligible as it is very stiff. |
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Keywords: | finite difference method ground improvement layered soil rigid footing |
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