Abstract
The paper deals with the instability of a cantilevered elastic column subjected at its unsupported end to a compressive, follower force (Beck’s Column). The analysis is performed with shear deformation and rotary inertia taken into account, both in the context of the original Timoshenko beam theory, and its simplified version which takes into account the pure contribution stemming from the shear deformation and rotary inertia, but neglecting their joint action. The exact analysis is also compared with the solution obtained via the Galerkin method, derived by the symbolic manipulation algebraic code REDUCE.
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