Example 365

Referring to the life cycle plans in Example 36.4 (see Figure 36.4), assume that for Plan A, bdesign = 4.0 and bthreshold = 2.0 and for Plan B, bdesign = 3.5 and bthreshold = 2.5. The cost if the structure fails is expected to be $2 million. Compute the range of point-in-time failure costs for the two plans assuming that the reliability index was computed using the standard normal variate:

Plan A

b threshold = 2.0 -! pf = 0.0233 Costfailure = $46,000

Plan B

bthreshold = 2.5 pf = 0.00621 Costfailure = $12,420

A lifetime cost of failure would need to account for how this cost changes over time. The more controversial issue is what costs are included when computing the cost of failure.

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