Beam Elements

Introduction

What you should expect to learn:

  • Interpolation function of a beam element
  • Deriving the beam equations and stiffness matrix
  • Using symbolic manipulators to derive the element matrix
  • Assembling the structure global matrix
  • Applying boundary conditions to the assembled matrix
  • Writing a program to solve the beam problem using finite element
Chapter5

You may want to review the mechanics of beams

Interpolation Functions

Element Equations

Symbolic Derivation

Assembly

Boundary Conditions

Octave Program

Beam FreeMat (Octave, Matlab) Code

Using Numerical Integration

Derivation using Symbolic Manipulator "Mathematica"