From fatigue tests of smooth uniaxial test specimens of 1040 steel, as forged, σ'f = 1500 MPa, ϵ'f = 0.61, b = −0.14, c = −0.57, and E = 200 GPa. Use Eq. 16.7 to determine the following:
a. The plastic, elastic, and total strain amplitudes for lives of N = 103 cycles, N = 105 cycles, and N = 107 cycles
b. The total strain amplitude for N = Nc, the cross-over or transitional fatigue life
c. The number N of cycles expected for a fatigue test of 1040 steel, with constant total strain amplitude ϵt = 0.01
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