The present work is based on the theory of equivalent defects, also known as Murakami s theory, which allows the prediction of the fatigue life of structural materials by adopting the parameter (square root of area), responsible for a quantitative equivalence between microstructural heterogeneities (metallurgical inclusions) existing in the region analysis of the material and mechanical discontinuities (holes) machined in the specimens. In this context, the thesis proposes new equations, based on Murakami s theory, to predict fatigue failures in ultralong loads (very high cycle fatigue, VHCF) of DIN42CrMo4 steel, widely used in the manufacture of crankshafts for generating units of thermoelectric power plants. DIN42CrMo4 steel specimens were machined with holes with diameters varying between 018 mm and 0.70 mm and tested in a very high cycle fatigue regime, varying the value of the test stress amplitude, to determine under what conditions the material failure and obtain the experimental S-N curve of DIN42CrMo4 steel in the presence of different sizes of defects (holes). The experimental results allowed the development of equations as a function of the parameter and Wohler curves of the material, in accordance with different mechanical discontinuities in the test specimens and resistance to fatigue of the material. Consequently, a methodology was established that allows a correlation between metallurgical inclusions, applied stress and super-long fatigue life of crankshafts in service in thermoelectric power plants.