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