Goal of the article is to determine the support and bending moments, loads on the supports, as well as the normal stresses in the continuous rotary unit housing, which is subjected to complex mechanical and thermal loads. Significance. The rotary kiln housing, as a rotating shell, bends under the load both in the spans between the supports and at the supports themselves, and also deforms in the cross-section. These deformations create longitudinal and transverse bending moments. Their increase or decrease occurs due to the redistribution of pressure on the supports, caused in turn by the deflection of the axis of rotation and the geometric axis of the housing, uneven wear of the rollers, bandages, sub-bandage shims, and bearing liners. Therefore, strength estimation of the rotary unit housings will ensure their reliable operation and extend their operating life. Methodology. The rotary unit housing was considered as a multi-span continuous beam with tubular cross-section, for which the support moments and support reactions were determined. When determining stresses, the housing was regarded as a multi-span cylindrical shell. Results. The proposed mathematical relationships allow the determination of support moments, loads on the supports, and stresses in the rotary unit housing. Scientific novelty. Mathematical dependencies have been developed for calculating the support moments, loads on the supports, and stresses in the rotary unit housing. Practical significance. The results of the estimation will allow predicting the performance of rotary unit housings and extending their operating life.
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