Comparative Study of Stresses Due to Forced Mounting of a Shaft Located on Four Bearings for Three Cases: Coaxial Bearings, Rigid Non-Coaxial Bearings and Elastic Non-Coaxial Bearings

Abstract The paper presents a comparative study of the stresses that occur for three cases of shaft mounting in a speed reducer: the maximum stresses in a continuous beam located on four coaxial rigid supports, the maximum stresses in the same beam located on four coaxial rigid supports and the maximum stresses in the same beam on four non-coaxial rigid and elastic supports. In the first case of shaft mounting, it is mounted on four bearings with non-coaxial and rigid support, in the second case, the shaft is mounted on the four coaxial and rigid bearings, and in the third case the shaft is mounted on four bearings with non-coaxial rigid and elastic end bearings, the intermediate bearings being mounted in the support by means of elastic elements. The statically indeterminate problem is solved in this paper using the load function method ψ from Strength of Materials and the numerical calculation is done for a particular numerical case, using the step function Φ ( x - a ) from the professional program MATHCAD. The solution method allows the numerical calculation of reactions, the drawing of internal stress diagrams and the calculation of maximum stresses in the dangerous section.