Answer: Failures in aircraft gas turbine engines due to

Chapter 13, Problem 13.18

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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: 161176) 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 5000. Obs Cycfail Strampl Obs Cycfail Strampl1 1326 .01495 11 7356 .005762 1593 .01470 12 7904 .005803 4414 .01100 13 79 .012124 5673 .01190 14 4175 .007825 29516 .00873 15 34676 .005966 26 .01819 16 114789 .006007 843 .00810 17 2672 .008808 1016 .00801 18 7532 .008839 3410 .00600 19 30220 .0067610 7101 .00575

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