What are the two buckling modes for the given System and how do they differentiate?
Buckling condition
Dependent on the stiffness k
How do we derrive kmin for an elastically supported beam?
We equate the Buckling loads to each other and solve for k. The resulting k is the k at which the buckling mode switches.
Give the Buckling differential equation for an elastic foundation (Elastische Bettung, Winkler Bettung)
How does the Buckling load behave over different lengths l for a Winkler foundation?
With higher lengths, higher buckling modes are guiding (untere Einhüllende). Thereby striving to a load F= 2 sqrt(kEI)
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