Simple Analysis of Axi-Symmetric Elastic Single Body in a Cylinder and Its Application to the Plate Loading Test

Abstract

Ever since Burmister's paper appeared regarding elastic analysis of a multilayered axisymmetric half infinite body, research on the structural design of a flexible pavement have been widely carried out. Corresponding to the elastic analysis, surface loading test of several types have also been tried as regards this type of pavement. These tests are expensive and very time consuming, and it is not easy to test the various conditions of the pavement system. Mechanical properties of subgrade soil generally depend on water content, dry density and other conditions. If we use a small cylindrical pit, it is easy to carry out a plate loading test for the various conditions of subgrade soil. However, there exists no analytical solution regarding on elastic body in a cylinder. The objective of this paper is to introduce a simple analytical solution for a single elastic body restrained in a cylinder, and apply the numerical results on the plate loading test in the cylindrical pit. Distributions of load intensity were given by the Fourier-Bessel expansion, and the solution of stresses and displacements obtained were expressed by infinite series with Bessel functions and an hyperbolic one. On the other hand, repeated plate loading tests using two cylindrical pits of different sizes were performed. Using experimental and numerical deflections of loading plate, the method to evaluate the values of Poisson's ratio and of modulus of deformation of compacted soil in the pit was proposed.