Modeling of structures; discrete and continuum models; model ingredients. Notation.
	Matrix form of equilibrium equations; degree of static indeterminacy.
	Plastic analysis; collapse load determination by equilibrium considerations (lower bound theorem of plastic analysis).
	Matrix form of geometric compatibility. Number of independent free degrees of freedom. Independent plastic collapse mechanisms.
	Virtual work and complementary virtual work principles; Energy theorems; Betti's theorem; Maxwell's reciprocal theorem. Incremental plastic work and upper bound theorem of plastic analysis.
	Element force-deformation relations; stiffness and flexibility matrices; transformations.
	Displacement method; structure stiffness matrix; treatment of element loads and initial stress/strain effects; support displacements; symmetry.
	Direct stiffness assembly of element stiffness matrices; architecture of computer programs and implementation of element libraries.
	Matrix form of force or flexibility method; treatment of element loads and initial stress/strain effects; support displacements; symmetry.
	Computer implementation of constraints: transformation method; Lagrange multipliers.
	Substructuring, superelements.
	3d analysis, rigid diaphragms.

last update: September 05, 2004