Engineering What is a low slenderness ratio for a column?

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A low slenderness ratio for a column typically indicates a more robust structure that is less prone to buckling under stress. The discussion references a slenderness ratio of 80-90 with a stress level of 300 MPa, raising questions about whether this stress is considered low or high. Generally, a lower slenderness ratio suggests that the column can withstand higher stress without failing. The relationship between slenderness ratio and stress is crucial for determining a column's stability and strength. Understanding these concepts is essential for evaluating structural integrity in engineering applications.
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What counts as a low slendernous ratio. i was look at column slenderness ratios and stress, it was talking about a column with slenderness ratio of 80-90 and stress of 300MPA. Is 300MPA low or high stress.
Wanted to know so i can say wheather the low ratio says that it will fail at high or low stress.
 
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The slenderness ratio is essentially just the ratio of height to girth. You don't understand whether a skinny column is stronger than a fat one?
 
Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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