YAP 540E  Stability Structures
Course Objectives
Stability of equilibrium. Bifurcation. Examples from rigid body mechanics.
Euler Column. Large deflection theory of columns.
Large deflection theory of columns. Initially deflected columns. Eccentrically loaded columns.
Inelastic buckling of columns.
General theory of columns.
Columns with intermediate loading.
Columns with variable cross sections.
Approximate methods in determining buckling loads.
Successive approximation methods.
Method of finite differences.
Energy Methods
RayleighRitz method. Calculus of Variations.
MatrixStiffness method. Beamcolumns.
Buckling of frames. Slopedeflection equations.
Torsional buckling of rods.
Lateral buckling of rods.
Snap through buckling.
Course Description
Stability of equilibrium. Bifurcation. Examples from rigid body mechanics.
Euler Column. Large deflection theory of columns.
Large deflection theory of columns. Initially deflected columns. Eccentrically loaded columns.
Inelastic buckling of columns.
General theory of columns.
Columns with intermediate loading.
Columns with variable cross sections.
Approximate methods in determining buckling loads.
Successive approximation methods.
Method of finite differences.
Energy Methods
RayleighRitz method. Calculus of Variations.
MatrixStiffness method. Beamcolumns.
Buckling of frames. Slopedeflection equations.
Torsional buckling of rods.
Lateral buckling of rods.
Snap through buckling.
