Settlement based on the theory of elasticity the elastic settlement of a shallow foundation can be estimated by using the theory of elasticity. The soil parameters used in the analyses represent its deformability and are chosen to reflect the loading history of the soil, the construction sequence, and the effect of soil layering. They state that the theory of elasticity can be applied in practice. Theory of elasticity equations are used for the stress computation, with the influence depth h below the loaded area taken as h 0, to h however, note that the stratum depth actually causing settlement is not at hb. Pdf the use of elastic theory for settlement prediction. Theoretical solution based on theory of elasticity assuming load on. The theory of elasticity is concerned with the mechanics of deformable bodies which recover their original shape upon the removal of the forces causing the deformation. The theory is based on certain experimental observations on. The settlement produced by the application of a stress to the surface of a compressible material depends upon the rigidity of the material and the boundary conditions prevailing. Homogeneous uniform throughout at every point we have the same qualities.
Isotropic identical in all directions, invariant with respect to direction orthotropic tend to grow or form along a vertical. Based on elastic theory 5 and 23 for uniform load applied on a. One of the most common methods for obtaining qv is the boussinesq ca. Davis and poulos 15 commented on the validity of applying the expression from the theory of elasticity, with an appropriate choice of the equivalent youngs modulus, for the determination of settlement of shallow foundations. Goodier this book provides a comprehensive introduction to the theory of elasticity in a simple form as the subject allows together with a compilation of solutions of special problems that are important in engineering practice and design. Download theory of elasticity by stephen timoshenko, j. Lifshitz theory of elasticity volume 7 of a course of theoretical physics pergamon press 1970 acrobat 7 pdf 7.
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