Bearings

How Do I Determine the Loads on a Bearing?

by Kevin Sweeney
16 October, 2023

Loads affecting bearings include force exerted by the weight of the object the bearings support, transmission force of devices such as gears and belts, loads generated in equipment during operation, etc. Rarely can these kinds of loads be determined by simple calculations. As the load is not always constant and the load fluctuates in many cases, it is difficult to determine the frequency and magnitude of the fluctuation.

Bearings play an important role in machinery operation by supporting shafts and guiding, rotating, or oscillating around shafts while minimizing friction. To ensure the optimal performance and life of machinery components you must understand the forces affecting bearings as either pure radial, pure axial, or a combined radial and axial load.

Axial loads act parallel to the shaft’s axis. Thrust bearings are selected for applications with only axial loads.

It is essential to consult with your supplier or look up the load ratings in manufacturers catalogs to determine the most suitable bearing. Accurate calculations of these forces are essential in choosing the right bearing type and ensuring its efficiency and life.

• Dynamic Load Capacity is defined as the constant stationary radial load in which a rolling bearing can theoretically last with a basic rating life of one million revolutions.
• Static Load Capacity: Shown in manufacturers catalogs as the maximum load a bearing can withstand without any permanent deformation while stationary. Exceeding the manufacturers catalog specifications may lead to material fatigue and eventual bearing failure. This specification is typically designated as the symbol C0 and is measured in units of force, such as Newtons (N).

A basic fatigue life rating known as  L10  is a bearing’s basic fatigue life rating and is calculated using the number of rotations in which 90% of all bearings in a specific group achieve or exceed a calculated time without failure (probability of failure: 10%).

Find your bearing’s dynamic capacity in the catalog, estimate the radial load, and RPM,  and you are able to calculate your own L10 bearing life. The L10 life calculation indicates the life of the bearing in your operating conditions with 90% accuracy.

Therefore, loads are normally obtained by multiplying theoretical values with various coefficients developed over time.

There is a lot of math involved, but you can find this information on many manufacturers’ sites.

Bearing calculation

The Computation of Bearing Loads is simplified as follows:

• T= Thrust load – loads that are parallel to the axis of the bearing

To calculate dynamic equivalent radial load (composed of both radial and axial forces) for a single row deep groove ball bearing is as follows:

P=XFr+YFa

• Z= number of balls
• D= ball diameter
• e=Limiting factor for Fa/Fr

Po=0.6 Fr +0.5 Fa

1. Weight- shafts, gears, pulleys, or other machine parts supported by bearings
2. Centrifugal Force – out of balance conditions-eccentrics, or as in wheel bearings while turning curves
3. Tension – required to transmit power as in timing or drive belts
4. Torque Reaction – producing loads due to the twisting effect of power input, on bearings supporting drive pinion or worm gear, etc.

Effect of Bearing Location

A shaft is ordinarily supported by two bearings:

With (1) Load (L) applied between the two bearings perpendicular to the shaft

Or (2) Load applied parallel to the shaft or both the bearing will be designed based on the magnitude of load, the distance between bearing centers, and the point of the application.

The first step in calculating bearing loads is therefore the computation of (L) from available data and the determination of bearing center distances. In the majority of cases, the applied load is the result of mechanical forces so large in comparison to the actual weight of the parts the latter may be ignored.

In many cases, the heavy rotating parts likely constitute a large part of the load.

Torque from Horsepower input. Most bearing load calculations require the determination of torque or twisting moment due to the input of the horsepower at a known speed.

Power transmission losses are present depending upon the efficiencies of the elements involved. However, in the methods of calculations, the efficiency of 100% is used in order to keep the solutions as simple and direct as possible.