Elastic Foundation Beam Analysis on Rigid Pavement and Piles

Syamsul Arifin,Agus Rivani,Anwar Dolu,R Woods,A.A Adam,M Miyajima,K Alauddin,A Rusdin,M Yoshida,S Arifin,A Fadjar

doi:10.1051/matecconf/202033105005

Abstract

In this study, the rigid pavement structure and pile foundation were modeled as the foundation of the Winkler elastic beam. for pavement with distribution loads and traffic loads, and variations in support. While for pile foundations with lateral loads. Solution of analytical differential equations with computer applications (CAS) Maple. The aim of this research are : (a). To know whether completion of algebraic computer application can be obtained by analytically method or numerically method, (b). To check whether analytical model is possible to be applied to various loads at any point in the beam or not, (c). Where of the strength or the displacement boundary to be located in the beam during load application, (d). To verify an approach possibility implementation of a simple computer algebra system, (e). To know whether achieved solutions which possible to solve ordinary differential equation (ODE) can be implemented in any mathematical system.

Highlights

The concept of beams on elastic foundations was first developed by E
Analysis of bending of beams on an elastic foundation is developed on the assumption that the reaction forces of the foundation are proportional at every point to the deflection of the beam at that point
Equation (15, 16) is solved numerically with the computer applications (CAS) Maple application, with code : Sol:=evalf(dsolve({de,ibc},y(x))): The calculation results can be seen in Table 1 and Figure 4, 5, 6

Summary

Introduction

The concept of beams on elastic foundations was first developed by E. Since it has been applied by Terzaghi and many others to geotechnical problems in which ground or subgrade is supporting media. Analysis of bending of beams on an elastic foundation is developed on the assumption that the reaction forces of the foundation are proportional at every point to the deflection of the beam at that point. Application example of the concept of elastic foundation consists of various structures including foundation beams and footings, piles, retaining walls, piles and many others [2,3,4,5,6]

Differential Equations of Elastic Foundation

Pile With Lateral Loads

Numerical Example

Pile Foundations with Lateral Load

Conclusion