Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 1, Problem 17P

A mechanical system comprises three subsystems in series with reliabilities of 98, 96, and 94 percent. What is the overall reliability of the system?

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Explain the concept of system reliability and its importance in the field of engineering.
A beginner reliability engineer did not realize that the failures of the system should be grouped by type instead of having them in one group. The system was observed to fail because of two types of failures: electrical (E) and mechanical (M). The failure data for E are 316, 138, 87, 923, 921, 1113, 1152, 577, 480, 1401 The data for M are 746, 1281, 1304, 1576, 1386, 671, 2106, 660, 1149, 425 The true data for E comes from an exponential distribution with mean = 1000 h, and the data for M comes from Weibull with γ = 2 and θ = 1000. a. What is the reliability expression for the true distribution? b. What is the reliability expression for the combined failures? c. Is the analysis of the engineer correct? Why?
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Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

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