Supplement to Lecture 1 Safety Factor and Reliability

Supplement to Lecture 1 Safety Factor and Reliability -...

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Safety Factor and Reliability Let S denote the strength random variable and s the stress random variable. The random variable y = ( S s ) is then related to the reliability of the component by ( 0) R Py = (1) When strength and stress random variables have normal density functions, y is normally distributed and the reliability R is given by 2 22 2 () 1 2 s S s S z R e dz µµ σσ π + = (2) Table 1 Safety factors and reliability a STRENGTH STRESS FACTOR MEAN MEAN STANDARD STANDARD OF CASE STRENGTH STRESS DEVIATION DEVIATION SAFETY RELIABILITY NO. S µ s S σ s / Ss R 1 50,000 20,000 2,000 2,500 2.5 1.0 2 50,000 20,000 8,000 3,000 2.5 0.9997 3 50,000 20,000 10,000 3,000 2.5 0.9979 4 50,000 20,000 8,000 7,500 2.5 0.9965 5 50,000 20,000 12,000 6,000 2.5 0.987 6 25,000 10,000 2,000 2,500 2.5 0.9 (6) 4 7 25,000 10,000 1,000 1,500 2.5 0.9 (16) 6 8 50,000 10,000 20,000 5,000 5.0 0.9738 9 50,000 40,000 2,000 2,500
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This note was uploaded on 09/20/2011 for the course ENG 303 taught by Professor Any during the Fall '08 term at Rutgers.

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Supplement to Lecture 1 Safety Factor and Reliability -...

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