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2003 Course Reliability Eng. (Elective I)

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Total No. of Questions : 11] P976 [Total No. of Pages : 4 [3664] - 157 B.E. (Production Sandwich) RELIABILITY ENGINEERING (411122) (Elective - I) (Revised 2003) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answers to the two sections should be written in separate books. 2) Neat diagrams must be drawn wherever necessary. 3) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 4) Assume suitable data, if necessary. 5) All questions are compulsory. SECTION - I Q1) a) b) Q2) a) b) Explain the following : [8] i) Reliability. ii) Hazard rate. iii) Mean time to failure (MTTF). iv) Probability density functions of failure. Following table shows the results of life tests carried out on 100 components simultaneously. Operating 0 10 20 30 40 50 60 70 80 90 100 Time (hours) Number of 100 90 81 73 66 60 55 50 45 41 37 surviving Components Evaluate hazard rate, failure density function and reliability and plot these functions to scale against time. [8] OR Following table shows the results of life tests carried out on 100 components simultaneously. Operating Time 0 1 2 3 4 5 6 7 8 9 10 (hours) Number of 50 30 80 70 90 80 30 50 15 05 failures Evaluate hazard rate, failure density function and reliability and plot these functions to scale against time. [8] [8] Prove that MTTF = 1 N f dk ( k t ) . P.T.O.

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