Abstract

The Weibull distribution function which was postulated by W. Weibull in Sweden in 1939, has been applied to the statistical data treatment for static and dynamic strength of materials. This distribution function has a requirement to be used for the strength of material under uniformly stress, that is the reliability function ln(1/R) is proportional to the stressed volume which is constituted by the probability product law for small elements in the material. However, for actually applied equal stressed field, this stressed volume can be transformed to a stressed area or stressed line or stressed point. This study reports the theoretical method of evaluation of 90% rating stress or load for a test specimen using the three-parameter Weibull distribution function. As a result, the prediction of static strength and fatigue life for the test specimen having arbitrary size, specified stress and reliability can be performed and further it will be found that a linkage between structural fatigue and rolling contact fatigue could be obtained theoretically.

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