1. Reliability Engineering in Mechanical Engineering Project II Group #1: 천문일, 최호열

2. Conclusion from Project #1: Data set 1 373283 207176 37398 49509 20592 104230 149170 550187 599191 327585 234414 448100 592249 n=26 ξ327.01 m1.67694

3. Conclusion from Project #1: Data set 2 365433 555504 214531 227244 306472 517133 63673 31444 687292 5137 256236 560126 22616 11621 n=28 μ298.4 σ227.3

4. Determining Strength/Stress Data set# DataMean Data set #126288.23 Data set #228298.68 2 > 1 Data 1 : Stress Data 2 : Strength

5. Reliability Calculation Methods

6. Calculations using equations from project I Data #1: mean rank, Weibull distribution: Fsigma(x)= 1-(exp(-(x/327.01)^1.64694)) Data #2: mean rank, normal distribution: Fstrength(x)= 0.5*(1+erf((x-298.4)/(227.3*sqrt(2))))

7. Probability Distribution Function f(stress) x Range: -1000 to 1000

8. Calculations through Origin program Using Integrate() function on origin, we determined our values to be: R=0.52328 Pf=0.47672

9. Using Data Sets

10. CDF Value Graph of Data Values don’t match one to one Interpolation needed

11. Lower Limit (Reliability) R=0.50692 Pf(upper)=0.49308

12. Upper Limit (Reliability) R=0.51575 Pf(lower)=0.48425

13. Triangle method (Reliability) R=0.51134 Pf=0.48866

14. Verifying Lower and Upper Limit Reliability Values R(lower)=0.50692 R(upper)=0.51575 R(average)=0.51134=R(triangle) Pf(upper)=0.49308 Pf(lower)=0.48425 Pf(average)=0.48866=Pf(triangle)

15. Summary ValueLowerUpperTrianglePDF R0.506920.515750.511340.52328 ValueUpperLowerTrianglePDF Pf0.493080.484250.488660.47672 Sum1111 Conclusion: The most strict method is the Lower method (lowest R value) The method with the closest value to PDF method is the Upper Method.