Forecasting the resource of console-fixed parts during wear with account of permissible stresses

BACKGROUND: Often, parts of the working bodies of machines operating in abrasive environments have a cantilever mount. Due to wear, their dimensions are lost, specified by the technical conditions, and destruction occurs. The resource of these products is determined by the allowable bending stresses, taking into account the intensity of their wear. The existing theoretical methods for predicting the operating time of a part to its limiting state when solving problems do not take into account the criteria of strength and wear in the complex. AIMS: The aim consists in obtaining a mathematical expression that determines the resource of the part when it is worn, taking into account the allowable stresses. METHODS: The disclosure of the goal was carried out by solving the problem of predicting the resource of a cantilever-fixed using the classical course of the resistance of materials, ele-ments of the theory of elasticity and the basics of tribotechnics. RESULTS: As a result of mathematical research and based on practical knowledge, a formula was obtained for determining the resource of a part, which takes into account the dimensions of the part, the magnitude of the allowable stresses, the coefficient regulating the resistance of the material to wear, the pressure on the working surface, the pressure at the pinch point and the pres-sure at the free end timber. The conditions determined by two inequalities are established under which the part will be operable. CONCLUSION: Mathematical expressions have been obtained that make it possible to predict and the conditions for the performance of cantilever-fixed parts in the process of their wear ac-cording to allowable stresses have been determined.