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Reliability Example

Reliability Example. Determine the reliability of a tension bar using @Risk. F t A. P. Limit State = F t A / P. Reliability Example. Reliability using @Risk R = 1 - P(u) where, P(u) = N UP / N N UP = Number of unsatisfactory performances at limit state < 1.0

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Reliability Example

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  1. Reliability Example • Determine the reliability of a tension bar using @Risk • Ft A P Limit State = Ft A / P

  2. Reliability Example • Reliability using @Risk R = 1 - P(u) where, P(u) = NUP / N NUP = Number of unsatisfactory performances at limit state < 1.0 N = number of iterations

  3. Reliability Example • @Risk Random Variables • Ultimate tensile strength, Ft • mean, m = 40 ksi; standard deviation, s = 4 ksi • assume normal distribution • Load, P • mean, m = 15 kips; standard deviation, s = 3 kips, • assume normal distribution • Area, A • constant (no degradation) circular cross section • A = 0.5 in2

  4. Reliability Example • Perform for 1000, 10000 and 100000 iterations to show convergence • Reliability results at 100000 iterations P(u) R @Risk ? ? TSFD 0.14 0.86

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