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Calculating the axial load for bearings mounted singly or paired in tandem

When a radial load is applied to a single row angular contact ball bearing, the load is transmitted from one raceway to the other at an angle to the bearing axis and an internal axial load is induced. This must be considered when calculating the equivalent bearing loads for bearing arrangements consisting of two single bearings and/or bearing pairs arranged in tandem.
The necessary equations for bearings with a contact angle α = 40° are provided in table 1 and for bearings with other contact angles in table 2. The equations are only valid if the bearings are adjusted against each other to practically zero clearance, but without any preload. In the arrangements shown, bearing A is subjected to a radial load FrA and bearing B to a radial load FrB. Both FrA and FrB are always considered positive, even when they act in the direction opposite to what is shown in the figures. The radial loads act at the pressure centres of the bearings (distance a → product table).
The variable R from table 1 takes into account the contact conditions inside the bearing for those with a contact angle α = 40°. The values for R can be obtained from diagram 1, as a function of the ratio Ka/C. Ka is the external axial force acting on the shaft or on the housing and C is the basic dynamic load rating of the bearing, which must accommodate the external axial force.
Use R = 1 for Ka = 0.
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