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