010 Post Buckling Analysis Cantilever Column

In another video, we learned about the stability of one rigid element and its behavior after bifurcation. The rotational spring can be achieved from the bending stiffness of the component in terms of strain energy. Suppose a cantilever is subjected to a compressive force at its tip.

1. Determine the total potential energy of the compressive element.
2. Find out the bifurcation load.
3. If the load increases after approaching its bifurcation load, determine the post-buckling load path and its stability state.
4. Determine the maximum horizontal displacement of the tip.
5. Determine the shortening length of the beam based on the post-buckling analysis.
6. Check your calculation with a numerical solution and FEM software.

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