57_HWKTTE 4004c - 47 Another commonly accepted relationship...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
47 Another commonly accepted relationship between the reliability index, β , and the probability of failure, p f , has been developed by Rosenblueth and Esteva (1972) using the relationship for values between 2 and 6. Reliability Index, β , vs. Probability of Failure, p f (Comparison of Methods) 1.0E-10 1.0E-09 1.0E-08 1.0E-07 1.0E-06 1.0E-05 1.0E-04 1.0E-03 1.0E-02 1.0E-01 1.0E+00 01234567 Reliability index, β p f = 460 exp (-4.3 β ) Esteva et al. (1972) True value Withiam et al. (1997) Figure 5-5. Comparison of Esteva and Withiam Methods to Obtain Reliability Index, β . (29 β 3 . 4 exp 460 - = f p (5-27) Figure 5-5 presents a comparison of the results for both, the Rosenblueth and Esteva method and the Withiam method, to determine the reliability index, β . It can be observed that Rosenblueth and Esteva approximation method will yield good values of probability of failure for values of reliability index between 2.0 and 6.0 as recommended by the author of the method.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
48 Resistance factor, φ . Once the reliability index, β , a resistance factor, φ, may be calculated. Assuming lognormal distributions of load and resistance in Eq. 5-5
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

57_HWKTTE 4004c - 47 Another commonly accepted relationship...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online