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Introduction
Introduction
What you should expect to learn:
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
You may want to review the mechanics of beams
Interpolation Functions
Interpolation Functions
Element Equations
Element Equations
Symbolic Derivation
Symbolic Derivation
Assembly
Assembly
Boundary Conditions
Boundary Conditions
Octave Program
Octave Program
Links to Programs
Links to Programs
Beam FreeMat (Octave, Matlab) Code
Beam FreeMat (Octave, Matlab) Code
Using Numerical Integration
Using Numerical Integration
Derivation using Symbolic Manipulator "Mathematica"
Derivation using Symbolic Manipulator "Mathematica"
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