005 Stability of a Rigid Bar to define Bifurcation Point, Primary, Secondary path, Rotational Spring

One rigid element with a length of l is subjected to a compressive load at its tip. At the bottom, the element is supported by a simple hinge and a rotational spring with constant k.

1. Determine the total potential energy of the system.
2. Determine the buckling load as a function of rotational angle.
3. Find the bifurcation point. d) Determine the primary and secondary paths.
4. Check the paths in terms of being stable or unstable.

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