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CGN 3421
Computer Methods
Spring 2002
CGN 3421
page 1 of 2
4/17/02
H.W. #10
assigned 4/17/02
due Monday  4/22/02
no lates
Goal:
Determine the reliability of systems with uncertain properties and / or loads.
Problem:
The figure to the right illustrates a foundation supporting a
building through the combined strength of 3 piles. If the building
weight exceeds the strength of all three piles combined, the founda
tion will fail.
Assignment:
Determine the likelihood of pile foundation system fail
ure. The equation you are solving is
,
where
is the system strength,
is the system load
indicates safe system
indicates failed system
Assume the total strength
of the pile system is the sum of the strength of each pile
.
Also assume the strength of the piles are independent of each other.
The strength of each pile is described by a Gaussian Normal distribution
,
.
The load is described by a Gaussian Normal distribution
Assignment: Find the probability of failure in several ways:
1)
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