The adjacent equilibrium method for stability analysis

The following sections are included:

• The adjacent equilibrium method (Euler method) and its relation to bifurcation theory

• Rod with a constant cross–section loaded at end points

• The influence of compressibility and shear on the stability bounds for the rod with the constant cross–section

• Column loaded by two forces

• Column with a step change in the cross–section

• Column with a variable cross–section loaded by a concentrated force

• Rod on an elastic foundation

• Heavy vertical column

• Heavy column with a variable cross–section

• Buckling by extension

• Rod with overhang

• Pflüger's rod

• Heavy rod on a horizontal plane

• The strongest centrally compressed rod

• Heavy rotating column

• Circular ring loaded by uniform pressure

• Rod loaded by a force and a couple

• Lateral buckling of a rod

• Lateral buckling of a cantilever

• Heavy cantilever