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3.6 Calculate the percentage frequency of failures, reliability, and failure rate for the following set of data on failure of

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Answer #1

In reliability engineering, Failure rate is the frequency with which the system or product fail in a given period of time.

Based on the given data, percentage frequency of failures, reliability, and failure rate are calculated for the production line.

Percentage failure (%) = Failure Frequency/100

For 10-20 day interval, Percentage failure (%) = 5/100 = 5%

Similarly, Reliability (%) = 1 - Percentage failure (%) = 1 – 0.05 = 0.95 = 95%

Interval (days)

Failure

Frequency

Percentage failure (%)

Reliability (%)

10-20

5

5%

95%

20-30

17

17%

83%

30-40

28

28%

72%

40-50

24

24%

76%

50-60

18

18%

82%

60-70

8

8%

92%

Accordingly, the graphs for the different functions has been plotted as shown,

Interval vs Failure rate 25 20 15 10 5 40 50 0 10 20 30 60 70 Interval Failure rate ST 30

Cumulative frequency chart 120 100 80 60 20 40 0 10 20 30 50 60 70 Interval (Days) Failure rate 40

Reliability 100 90 80 70 60 50 40 30 20 10 0 0 10 20 30 40 50 70 60 Interval Reliability (%)

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