Lecture 9: 2-Noded Truss Element - Total Lagrangian Formulation

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Topics: The two-noded truss element - total Lagrangian formulation

  • Derivation of total Lagrangian truss element displacement and strain-displacement matrices from continuum mechanics equations
  • Mathematical and physical explanation that only one component of the 2nd Piola-Kirchhoff stress tensor is nonzero
  • Physical explanation of the matrices obtained directly by application of the principle of virtual work
  • Discussion of initial displacement effect
  • Comparison of updated and total Lagrangian formulations
  • Example analysis: Collapse of a truss structure
  • Example analysis: Large displacements of a cable

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Section 6.3.3

Examples

Problems 6.16, 6.17