Lecture 3: The Displacement-Based Finite Element Method

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 Topics: Formulation of the displacement-based finite element method

  • General effective formulation of the displacement-based finite element method
  • Principle of virtual displacements
  • Discussion of various interpolation and element matrices
  • Physical explanation of derivations and equations
  • Direct stiffness method
  • Static and dynamic conditions
  • Imposition of boundary conditions
  • Example analysis of a nonuniform bar, detailed discussion of element matrices

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)


Sections 4.1, 4.2.1, 4.2.2


Problems 4.1-4.14

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  • English - US (SRT)