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sigma critique Euler

anglais translation: Euler critical stress


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Terme ou expression en français :sigma critique Euler
Traduction en anglais :Euler critical stress
Entrée par  : mediamatrix
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00:03 Nov 8, 2009Login or register (free) for more options.
traduction français vers anglais [PRO]
Tech/Engineering - Construction / génie civil / Computer program
Terme ou expression en français : 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: 08:51
Euler critical stress
Explication :
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
Réponse sélectionnée de :

mediamatrix
Chili
Local time: 04:51
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4 points KudoZ ont été attribués à cette réponse



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

  

Réponses


39 minutes   confiance : Answerer confidence 3/5Answerer confidence 3/5 approbation des pairs (net) : +1
critical Euler sigma


Explication :
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: 02:51
Ne répond pas aux critères
Langue maternelle : anglais

Commentaires des pairs sur cette réponse (et réponses des répondeurs)
Accord  kashew: Or "critical Euler summation" (adding the symbol in capitals too. Context will explain the rest!
9 heures
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1 heure   confiance : Answerer confidence 3/5Answerer confidence 3/5 approbation des pairs (net) : +3
Euler critical stress


Explication :
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
Chili
Local time: 04:51
Ne répond pas aux critères
Langue maternelle : anglais
Points PRO dans la catégorie : 125
Grading comment
Selected automatically based on peer agreement.

Commentaires des pairs sur cette réponse (et réponses des répondeurs)
Accord  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 heure

Accord  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 heures

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


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

kashew
France
Local time: 08:51
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Langue maternelle : anglais
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Reference comments


22 minutes
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....


    Référence : http://www.maa.org/reviews/master.html
Daniel Weston
États-Unis
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Langue maternelle : anglais
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