005 Stability of a Rigid Bar to define Bifurcation Point, Primary, Secondary path, Rotational Spring
Channel: SHAHgordi
Date: 28/02/2023

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.
a) Determine the total potential energy of the system.
b) Determine the buckling load as a function of rotational angle.
c) Find the bifurcation point. 
d) Determine the primary and secondary paths.
e) Check the paths in terms of being stable or unstable.
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https://shah.fi/en/academy/005-stability-of-a-rigid-bar-to-define-bifurcation-point-primary-secondary-path-rotational-spring/
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