Lecture 8: 2-Noded Truss Element - Updated Lagrangian Formulation

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

  • Derivation of updated Lagrangian truss element displacement and strain-displacement matrices from continuum mechanics equations
  • Assumption of large displacements and rotations but small strains
  • Physical explanation of the matrices obtained directly by application of the principle of virtual work
  • Effect of geometric (nonlinear strain) stiffness matrix
  • Example analysis: Prestressed cable

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Section 6.3.3

Examples

Problems 6.16, 6.17