Problem

The fatigue data for a ductile cast iron are given as follows:Stress Amplitude [MPa (ksi)]...

The fatigue data for a ductile cast iron are given as follows:

Stress Amplitude [MPa (ksi)]

Cycles to Failure

248 (36.0)

1 × 105

236 (34.2)

3 × 105

224 (32.5)

1 × 106

213 (30.9)

3 × 106

201 (29.1)

1 × 107

193 (28.0)

3 × 107

193 (28.0)

1 × 108

193 (28.0)

3 × 108

(a) Make an S–N plot (stress amplitude versus logarithm of cycles to failure) using these data.


(b) What is the fatigue limit for this alloy?


(c) Determine fatigue lifetimes at stress amplitudes of 230 MPa (33,500 psi) and 175 MPa (25,000 psi).


(d) Estimate fatigue strengths at 2 × 105 and 6 × 106 cycles.

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