Theory of elastic stability - Critical axial force value

AI Thread Summary
The discussion revolves around calculating the critical axial force (P) that a cantilever beam can withstand under a single perpendicular force (Q) applied at its edge. The user seeks assistance in solving this problem using the energy method, specifically referencing Euler's formula for stability. The conversation emphasizes the importance of knowing the beam's properties and applying appropriate safety factors in the calculations. Participants are encouraged to demonstrate their attempts at solving the problem to facilitate better understanding. Overall, the focus is on deriving the critical axial force value for the beam's stability.
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https://dl.dropbox.com/u/73421703/b1.jpg hi there , I'm asking for help with this one! I should solve that problam through energy method.
Given single force Q(not shown in the picture) on the edge of the cantilever(the right-end of the beam), what I'm looking for - The critical P(axial force) that beam can absorb. the answer is in Euler form.

any suggestions would help!

p.s
sorry for the poor english.
 
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You must be given the beam properties. Then it's fa/Fa + fb/Fb = 1. With appropriate safety factors. I assume Q is applied perpendicular to beam. Please show attempt.
 

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