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Does A Large Eulers Value Also Equal A Large Youngs Modulus?

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MatthewMansfield

Civil/Environmental
Aug 11, 2012
47
Hi all

I was wondering if anyone could help with determining whether a statement regarding compressive column testing is valid or not.

2 x Columns were loaded compressively (same dimensions, same K values), the results revealed:-
Column A has a Eulers Critical Load of 83525N and a Youngs Modulus of 2284N/mm^2
Column B has a Eulers Critical Load of 65493N and a Youngs Modulus of 1791N/mm^2

Would it be correct to say that since column A had a greater Youngs Modulus you would expect column A to also have a greater critical load when compared to column B?

Would this be a valid statement?

Thank you.
 
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Euler critical load equation:

image_qjeydo.png
 
Would this be a school question? While Euler's theories are important for understanding stability and column buckling, there's a reason they weren't used for the first couple hundred years after he developed them - they fail to account for lots of other aspects of a column and lots of columns analyzed with it initially failed. I hope this isn't for an actual design...
 
r13 & phamENG

Thank you for your response.

R13 - I already know Eulers equation but thank you.

PhamENG - No it is a school related question but i was thinking about whether the statement would be true or not.

So your opinion on the actual question is?
 
Your answer lies in the equation, noting the relationship between Pcr and E, with all other terms are identical for both columns.
 
Are you trying to confirm the proportionality of the modulus of elasticity with the critical buckling load? That's not a matter of opinion at all. As r13 said - it's in the equation.
 
r13 & phamENG

It has just hit me, you are correct it is in the Equation.

Thank you.
 
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