The support bar BC, used in a structural
system as shown in the figure, is tested in two labs. The probability of yield
failure based on the results from lab 1 is 
and the
probability of buckling failure estimated by lab 2 is 
. If the
two failure modes are assumed to be independent, what is the reliability (the
probability that the bar does not fail) of the bar?
Solution
Define events as follows.
= yield
failure
=
buckling failure
