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sigma critique Euler

English translation: Euler critical stress


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French term or phrase:sigma critique Euler
English translation:Euler critical stress
Entered by: mediamatrix
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00:03 Nov 8, 2009Login or register (free) for more options.
French to English translations [PRO]
Tech/Engineering - Construction / Civil Engineering / Computer program
French term or phrase: sigma critique Euler
This is probably a somewhat abbreviated expression as it is a text or comment available to be displayed by a computer program. The "sentence" is:
"Erreur, sigma critique Euler : division par zéro!"

I have tried Googling but, though I have more or less got my head around a Euler number being about logarithms, I am afraid I am not a mathematician and the phrase still means nothing to me. All I really want to know is how to put it equally briefly in UK English.
B D Finch
France
Local time: 13:00
Euler critical stress
Explanation:
sigma critique Euler is concerned with the critical stress ocurring when multiple loads are applied (critical in the sense that it refers to the point at which the system collapses). As mentioned in Daniel's reference info, the calculation involves number series (sequence of terms of increasing or diminishing importance making up the whole) and each of these terms depends on an arithmetic division. If any one of those operations has a term where a number is divided by zero (0), the whole computation will crash, giving Asker's error message.

I would be inclined to put 'stress' rather than 'sigma' in the translation, as being (perhaps) more meaningful to the software user.

Calculating Stress (AISC) - [ Traducir esta página ]16 entradas - 4 autores - Última entrada: 9 Ene
For sr > src, plot sigmac(sr) = E*(pi/sr)^2, the Euler critical (buckling) stress. For a solid round rod of diameter d = 20 mm, ...
www.physicsforums.com/showthread.php?t... - En caché - Similares
Selected response from:

mediamatrix
Chile
Local time: 09:00
Grading comment
Selected automatically based on peer agreement.
4 KudoZ points were awarded for this answer



Summary of answers provided
3 +3Euler critical stressmediamatrix
4critical Euler summation
kashew
3 +1critical Euler sigma
konungursvia
Summary of reference entries provided
Euler's Sigma Function
Daniel Weston

  

Answers


39 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +1
critical Euler sigma


Explanation:
Euler was the first to use the capital sigma as a sum function in the way he did. This is not related to division by zero, so it's a metaphor, similar to "important Heiesenberg equation" or "crucial Einstein formula," in my view.

konungursvia
Canada
Local time: 07:00
Does not meet criteria
Native speaker of: Native in EnglishEnglish

Peer comments on this answer (and responses from the answerer)
agree  kashew: Or "critical Euler summation" (adding the symbol in capitals too. Context will explain the rest!
9 hrs
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1 hr   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +3
Euler critical stress


Explanation:
sigma critique Euler is concerned with the critical stress ocurring when multiple loads are applied (critical in the sense that it refers to the point at which the system collapses). As mentioned in Daniel's reference info, the calculation involves number series (sequence of terms of increasing or diminishing importance making up the whole) and each of these terms depends on an arithmetic division. If any one of those operations has a term where a number is divided by zero (0), the whole computation will crash, giving Asker's error message.

I would be inclined to put 'stress' rather than 'sigma' in the translation, as being (perhaps) more meaningful to the software user.

Calculating Stress (AISC) - [ Traducir esta página ]16 entradas - 4 autores - Última entrada: 9 Ene
For sr > src, plot sigmac(sr) = E*(pi/sr)^2, the Euler critical (buckling) stress. For a solid round rod of diameter d = 20 mm, ...
www.physicsforums.com/showthread.php?t... - En caché - Similares

mediamatrix
Chile
Local time: 09:00
Does not meet criteria
Native speaker of: Native in EnglishEnglish
PRO pts in category: 125
Grading comment
Selected automatically based on peer agreement.

Peer comments on this answer (and responses from the answerer)
agree  Daniel Weston: I knew my math degree was worth something! I posted a reference because I could only speak to the formula, not its use in construction.
1 hr

agree  asptech: I vote for "Euler buckling stress", but your description is completely off the mark. The Euler stress is a so-called "eigenvalue" problem solution, and even though it is over 250 years old, it remains one of the most important factors in structural design
7 hrs

agree  Bourth: Also critical Euler stress [Web], Euler crippling stress [Probst&Comrie]
9 hrs
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10 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5
critical Euler summation


Explanation:
Or critical combined Euler - adding the symbol in capitals.

kashew
France
Local time: 13:00
Meets criteria
Specializes in field
Native speaker of: Native in EnglishEnglish
PRO pts in category: 154
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Reference comments


22 mins
Reference: Euler's Sigma Function

Reference information:
Euler's sigma function was about all the divisors of n, we can't divide by zero so the program must be bombing out because it is enctounering a zero when trying to apply Euler's function. Just a guess....


    Reference: http://www.maa.org/reviews/master.html
Daniel Weston
United States
Does not meet criteria
Native speaker of: Native in EnglishEnglish
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