Suppose that the fatigue data for the brass alloy in Problem 9.21 were taken from torsional tests and that a shaft of this alloy is to be used for a coupling that is attached to an electric motor operating at 1500 rpm. Give the maximum torsional stress amplitude possible for each of the following lifetimes of the coupling: (a) 1 year, (b) 1 month, (c) 1 day, and (d) 2 hours.
Problem 9.21
The fatigue data for a brass alloy are given as follows:
Stress Amplitude (MPa) | Cycles to Failure |
310 | 2 × 105 |
223 | 1 × 106 |
191 | 3 × 106 |
168 | 1 × 107 |
153 | 3 × 107 |
143 | 1 × 108 |
134 | 3 × 108 |
127 | 1 × 109 |
(a) Make an S–N plot (stress amplitude versus logarithm of cycles to failure) using these data.
(b) Determine the fatigue strength at 5 × 105 cycles.
(c) Determine the fatigue life for 200 MPa.
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