Simple column buckling problem - pl help

Thread starter taureau20
Start date Dec 25, 2009
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Buckling Column

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The critical load for column buckling is determined to be P_{cr} = K/L, where K is the constant torsional spring constant and L is the length of the rigid bar. As the spring uncurls, it exerts a moment of Kθ on the bar, influencing the buckling behavior. This relationship highlights the importance of both the spring constant and the length of the bar in calculating the buckling load. The solution provided confirms the critical load formula derived from the problem's parameters. Understanding these dynamics is essential for analyzing column stability in engineering applications.

Dec 25, 2009

taureau20

Knowing that the torsional spring is of constant K and that the rigid bar is of length L, determine the critical load P_{cr} beyond which the column would buckle. See pic for the problem.
[As the spring uncurls, it applies moment K \theta to the bar.]

The answer is P_{cr}=K/L

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Dec 27, 2009

taureau20

I solved this problem.

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