Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 13.2, Problem 18E
Failures in aircraft gas turbine engines due to high cycle fatigue is a pervasive problem. The article “Effect of Crystal Orientation on Fatigue Failure of Single Crystal Nickel Base Turbine Blade Superalloys” (J. of Engineering for Gas Turbines and Power, 2002: 161–176) gave the accompanying data and fit a nonlinear regression model in order to predict strain amplitude from cycles to failure. Fit an appropriate model, investigate the quality of the fit, and predict amplitude when cycles to failure 5 5000.
| Obs | Cycfail | Strampl | Obs | Cycfail | Strampl |
| 1 | 1326 | .01495 | 11 | 7356 | .00576 |
| 2 | 1593 | .01470 | 12 | 7904 | .00580 |
| 3 | 4414 | .01100 | 13 | 79 | .01212 |
| 4 | 5673 | .01190 | 14 | 4175 | .00782 |
| 5 | 29516 | .00873 | 15 | 34676 | .00596 |
| 6 | 26 | .01819 | 16 | 114789 | .00600 |
| 7 | 843 | .00810 | 17 | 2672 | .00880 |
| 8 | 1016 | .00801 | 18 | 7532 | .00883 |
| 9 | 3410 | .00600 | 19 | 30220 | .00676 |
| 10 | 7101 | .00575 |
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31
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Chapter 13 Solutions
Probability and Statistics for Engineering and the Sciences
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