Computational GeoMechanics
Chapter 4
BEAMS ON ELASTIC FOUNDATION
In this chapter a numerical method for the solution of the problem of a beam on an
elastic foundation is presented. Special care will be taken that the program can be
used for beams consisting of sections of unequal length, as the program is to be used
as a basis for a sheet pile wall program, and for a program for a laterally loaded pile
in a layered soil.
4.1 Beam theory
Consider a beam, of constant cross section, with its axis in the x-direction, see figure
4.1. The load on the beam is denoted by f (a force per unit length), and the
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