How Many Cycles Will Elapse Before the Beam Loses - Mathematics Assignment Help

Assignment Task

Problem: 
The most probable strength of a steel beam is given by 24N-0•05 kips, where N is the number of cycles. This value is known to within 25% with 90% confidence.
(a) How many cycles will elapse before the beam loses 20% of its strength? 
(b) Suppose that the cyclic load on the beam is 10 kips. How many cycles can be applied before the probability of failure reaches I0%?

Note: Assume a lognormal distribution.

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