Buckling of columns - displacement distance?

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For a crane system with a fixed-free column, calculating maximum displacement at the top can be approached using the principles of cantilever beams. A free body diagram is essential to visualize the forces, including both the moment and compressive load acting on the column. While the compressive load does not directly contribute to deflection, it is crucial for assessing buckling risks. Safety considerations should always be prioritized in structural calculations. Understanding these factors is key to ensuring the integrity of the crane system.
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.
 
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