009 Cantilever Column Buckling With Eccentricity

In a cantilever column, the compressive load is applied by the eccentricity of e, as shown in the figure. The column height is l with the bending rigidity of EI.

1. Derive the maximum horizontal displacement of point B as a function of eccentricity, force p, and EI.
2. Sketch the relation between the maximum displacement and the applied force p (The best solution would be using the non-dimensional variables).
3. Determine the maximum bending moment and maximum normal stress.

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