2. The Goodman diagram relates oa and om for fatigue failure after a specific num of cycles Nf, where da is the cyclic stress amplitude, and on the mean stress. Fo steel specimen it is found that oa oa (0).[1- (om/OTS)] where Ors is the metal's ten stress (375MPa), and oa (0)~0.450Ts is the 107 cycle fatigue limit at zero mean str Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, w is the maximum peak stress if failure in < 107 cycles is to be avoided? Ans: 233 MPa
2. The Goodman diagram relates oa and om for fatigue failure after a specific num of cycles Nf, where da is the cyclic stress amplitude, and on the mean stress. Fo steel specimen it is found that oa oa (0).[1- (om/OTS)] where Ors is the metal's ten stress (375MPa), and oa (0)~0.450Ts is the 107 cycle fatigue limit at zero mean str Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, w is the maximum peak stress if failure in < 107 cycles is to be avoided? Ans: 233 MPa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![2. The Goodman diagram relates \(\sigma_a\) and \(\sigma_m\) for fatigue failure after a specific number of cycles \(N_f\), where \(\sigma_a\) is the cyclic stress amplitude, and \(\sigma_m\) the mean stress. For a steel specimen, it is found that \(\sigma_a = \sigma_a(0)[1 - (\sigma_m/\sigma_{TS})]\) where \(\sigma_{TS}\) is the metal's tensile stress (375 MPa), and \(\sigma_a(0) \approx 0.45\sigma_{TS}\) is the \(10^7\) cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < \(10^7\) cycles is to be avoided?
Ans: 233 MPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ae913f7-1c44-435b-a15f-6461f984086d%2Fc05daf89-0e9f-4f14-a8fb-5a24fa59bccd%2F89tp13q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The Goodman diagram relates \(\sigma_a\) and \(\sigma_m\) for fatigue failure after a specific number of cycles \(N_f\), where \(\sigma_a\) is the cyclic stress amplitude, and \(\sigma_m\) the mean stress. For a steel specimen, it is found that \(\sigma_a = \sigma_a(0)[1 - (\sigma_m/\sigma_{TS})]\) where \(\sigma_{TS}\) is the metal's tensile stress (375 MPa), and \(\sigma_a(0) \approx 0.45\sigma_{TS}\) is the \(10^7\) cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < \(10^7\) cycles is to be avoided?
Ans: 233 MPa
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