CHEN_SENG 430 - HW 7 Sol (1)
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Jan 9, 2024
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CHEN/ SENG 430
Homework 7 (SOLUTION)
1.
An engineering student must finish an important term paper to be turned in the next morning. The paper is
stored on the student’s hard drive with a back up copy on a flash drive. The computer has two USB ports
that can accommodate the flash drive. The system is defined to be the hard drive (reliability 0.90), the
processor (reliability 0.98), the printer (reliability 0.95), the flash drive (reliability 0.90), and the two USB
ports (reliability 0.85 each).
a.
Construct the reliability block diagram so that the student can complete and print the term paper.
b.
Given the component reliabilities as shown above, what is the probability (reliability) that the student
will successfully finish and print the term paper?
c.
If the time to failure of the processor is exponential with
λ
=0.0001 failures per minute, how long can the
student work on the term paper and have a 0.93 probability of finishing and printing the paper?
2.
An automotive manufacturer recommends servicing brake systems and replacing worn parts every 20,000
miles. The reliability of a single-wheel braking system has been found through accelerated life testing to be
0.8855 at 20,000 miles.
a.
If at least one front brake and one rear brake must function for a 4-wheel vehicle to safely stop, find the
system reliability at 20,000 miles.
b.
What is the system reliability at 20,000 miles if at least any 2 brakes must function?
3.
An aircraft has 4 engines, two under each wing. Each outer engine (from the fuselage) has a failure rate of
0.0054 failures per flying hour while each inner engine has a failure rate of 0.0039 failures per flying hour.
a.
The aircraft can complete its mission as long as the two outer engines are operating, or two inner
engines are operating. Find R(9) and the MTTF of the engine system for this situation.
b.
The aircraft can complete its mission only if at least 1 engine on each side is operating. Find R(9) and
the MTTF of the engine system for this situation.
4.
RAE 3.4: The top event T for a tank rupture scenario is shown in the fault tree below:
Find the following:
Solution:
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