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
Rayleigh-Ritz method. Calculus of Variations.
Matrix-Stiffness method. Beam-columns.
Buckling of frames. Slope-deflection 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
Rayleigh-Ritz method. Calculus of Variations.
Matrix-Stiffness method. Beam-columns.
Buckling of frames. Slope-deflection equations.
Torsional buckling of rods.
Lateral buckling of rods.
Snap through buckling.