Buckling of columns - displacement distance?

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peet_dk
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Hello

I have a question, I haven't got my books with me.. So hope you can help me..

I have a crane system like this:

http://dl.dropbox.com/u/559096/column.jpg

If the column have the boundary: Fixed-Free. Is there a easy way to calculate the maximum displacement? (in the top)
 
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Draw a free body diagram. You have both a moment and a compressive load. Note that while the compressive load does not contribute to the deflection it will affect buckling concerns. For safety sake please look at this.