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| {{Orphan|date=January 2012}}
| | I'm Regena and I live in Alloway. <br>I'm interested in Continuing Education and Summer Sessions, Weightlifting and Portuguese art. I like travelling and watching Breaking Bad.<br><br>Look into my weblog ... [http://www.dumpgames.com/profile/dotuil Transfering to mountain bike sizing.] |
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| [[File:Contrainte resistance 2d proche.svg|thumb|300px|Probability density of stress S (red, top) and resistance R (blue, top), and of equality (m = R - S = 0, black, bottom).]]
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| [[File:Contrainte resistance 3d proche.svg|thumb|300px|Distribution of stress S and strength R: all the (R, S) situations have a probability density (grey level surface). The area where the margin m = R - S is positive is the set of situation where the system is reliable (R > S).]]
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| '''Stress–strength analysis''' is the analysis of the strength of the materials and the interference of the stresses placed on the materials, where "materials" is not necessarily the raw goods or parts, but can be an entire system. Stress-Strength Analysis is a tool used in [[reliability engineering]].
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| Environmental stresses have a [[Distribution (mathematics)|distribution]] with a [[mean]] <math>\left(\mu_x\right)</math> and a [[standard deviation]] <math>\left(s_x\right)</math> and component strengths have a distribution with a mean <math>\left(\mu_y\right)</math> and a standard deviation <math>\left(s_y\right)</math>. The overlap of these distributions is the probability of failure <math>\left(Z\right)</math>. This overlap is also referred to stress-strength interference.
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| == Reliability ==
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| If the distributions for both the stress and the strength both follow a Normal distribution, then the reliability (R) of a component can be determined by the following equation:<ref>{{cite web|last=Tersmette|first=Trevor|title=Mechanical Stress/Strength Interference Theory|url=http://www.theriac.org/DeskReference/PDFs/4Q2003.pdf|accessdate=26 February 2013}}</ref>
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| <math>R = 1 - P(Z)</math>, where
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| <math>Z = -\frac{\mu_x - \mu_y}{\sqrt{ s_x^2 + s_y^2}}</math>
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| P(Z) can be determined from a [[Standard normal table|Z table]] or a statistical software package.
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| == See also ==
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| * [[First-order reliability method]]
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| == References ==
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| {{reflist}}
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| * http://reliawiki.org/index.php/Stress-Strength_Analysis
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| * http://www.engr.iupui.edu/me/courses/stressstrengthinterference.pdf
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| {{DEFAULTSORT:Stress-strength analysis}}
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| [[Category:Mechanical failure]]
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| [[Category:Reliability engineering]]
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| [[Category:Risk analysis]]
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| [[Category:Systems engineering]]
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I'm Regena and I live in Alloway.
I'm interested in Continuing Education and Summer Sessions, Weightlifting and Portuguese art. I like travelling and watching Breaking Bad.
Look into my weblog ... Transfering to mountain bike sizing.