Beam loaded on elastic foundation (BOF) is a theory that is often used in force - displacement prediction for analysis of structure that interacts directly with the ground. Elastic foundation is an approach to soil behavior as a collection of linear elastic springs, independent and one with another are unrelated (Winkler soil). This theory is often solved using numerical methods, especially by finite element method (FEM).
Here, the FEM for the solution of BOF adopts the sequence of steps given by Equation 4.13 to 4.18. The equations are developed by considering the coding of finite elements shown in the Figure below. The steps presented here are the steps used to develop a computer program for the solution of BOF.
An application program for the solution of beam on elastic foundation is named BOF, which uses the same programming structure as the previous TRUSS2D or FRAME2D. This program is now used for a footing foundation analysis on the ground with a soil modulus Ks, and the footing geometry and loading condition shown in the figure below.
Given example:
Modulus of elasticity of the footing, E = 217000 ton/m2
Height x width x length of the footing = 0.3 x 2 x 2 m
Ks = 1800 ton/m3
Vertical load = 20 tons and moment load = 4 ton.m, acting in the column axis, right in the center of the footing.
The input and output data of the given example is presented in the input-output form of BOF. The footing structure consists of 10 members, with a continuous numbering system as shown in the worksheet chart below:
BOF Input-Output Form:
BOF Charts:
Notes:
