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Unformatted text preview: ) ln( ) , ( =-= (5-20) For both Equation 5-19 and 5-20 the limit state is reached when R=Q and failure will occurs when g(R,Q)<0. Reliability index. The reliability index is a simple method of expressing the probability of failure using function g(R, Q) (Eq. 5-20). The frequency distribution of g(R,Q) would look similar to the curve shown in Figure 5-3. Figure 5-3. Definition of Reliability Index, β for lognormal Distributions of R and Q Evident from the curve is that if the standard deviation is small or the mean value is located further to the right, the probability of failure will be smaller. The reliability index β , is defined as the number of standard deviations, ξ g , between the mean value, g (average), and the origin, or: g g ξ β = (5-21)...
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This note was uploaded on 10/19/2011 for the course TTE 4004c taught by Professor Hass during the Spring '11 term at University of Florida.
- Spring '11