Bearing Load Calculator

Bearing Load Calculator

Estimate equivalent dynamic load, equivalent static load, L10 life, required dynamic rating, axial ratio, and static safety from radial load, axial load, X/Y factors, shock, distribution, and contact angle.

1 Bearing load presets

Choose a starting case, then replace the loads and catalog factors with the values from your bearing series, arrangement, and operating condition.

2 Inputs and catalog factors
Used for exponent and factor suggestions.
Higher angle generally supports more axial load.
Resultant radial load at the bearing.
Thrust load in the supported direction.
Catalog basic dynamic load rating.
Catalog basic static load rating.
Operating speed for life hours.
Used to estimate required C rating.
From catalog table for Fa/Fr and bearing type.
Use the catalog value for your contact angle.
Static equivalent load radial factor.
Static equivalent load axial factor.
Use above 1.0 for misalignment, unequal sharing, or paired bearings.
Multiplies both dynamic and static equivalent load.
--Fa / Fr ratio
--Angle class
--Life exponent
--Combined factor
3 Bearing load results
Equivalent dynamic load P
-- adjusted load
Equivalent static load P0
-- adjusted load
Estimated L10 life
-- hours at entered rpm
Required C rating
-- for target life
Static safety factor
-- C0 / P0
Dynamic load margin
-- C / P
Enter loads and ratings to calculate.
4 Bearing load/spec grid
PDynamic equivalent load for fatigue life
P0Static equivalent load for brinelling checks
p=3Ball bearing life exponent
p=10/3Roller bearing life exponent
5 Bearing reference tables

These tables are planning references. Always replace the example X/Y and X0/Y0 values with the exact catalog values for the bearing series, clearance, arrangement, and load ratio.

Bearing typeTypical contact angleDynamic factor cueLife exponentCommon load pattern
Deep groove ball0 to 12 degX near 1 for radial load, Y used when thrust rises3Motors, fans, light pumps
Angular contact ball15 to 40 degLower X with higher Y for combined radial and thrust3Pumps, spindles, paired bearings
Tapered roller10 to 30 degCatalog factors depend strongly on load direction and pair layout10/3Hubs, gearboxes, thrust plus radial
Spherical rollerLow angle rollerUse heavier shock and distribution allowances10/3Conveyors, crushers, misaligned shafts
Cylindrical rollerUsually radialX near 1 if no axial load is carried10/3High radial load machinery
Service conditionShock factorDistribution factorWhat it representsWatch item
Smooth electric motor1.0 to 1.21.0 to 1.1Steady radial load and good alignmentBelt tension and thermal growth
General gearbox1.2 to 1.51.1 to 1.3Gear mesh variation and housing deflectionAxial gear forces
Conveyor or fan shock1.4 to 1.81.2 to 1.5Start/stop load swings and uneven supportPeak starting load
Crusher or impact1.8 to 3.01.3 to 1.8Short peaks, vibration, and debris loadingStatic safety and seals
Paired precision set1.0 to 1.31.05 to 1.25Preload and load sharing between bearingsMounting stiffness
CheckFormula usedGood planning rangeWarning rangeAction
Equivalent dynamic loadP = fs fd (XFr + YFa)C/P above target marginC/P below required lifeIncrease bearing size or reduce load
Equivalent static loadP0 = fs fd (X0Fr + Y0Fa)s0 above 1.5 for many machiness0 near or below 1.0Check static rating and peak load
Basic rating lifeL10 = (C/P)^p million revMeets duty targetShorter than service intervalRevise rating, load, speed, or duty
Axial load ratioFa / FrWithin bearing catalog rangeHigh for radial-only bearingUse thrust-capable arrangement
Application presetLikely bearing styleLoad characterFactor emphasisPrimary check
Fan or blowerDeep groove ballMostly radialLow shock, belt pullL10 hours
Vertical pumpAngular contact pairHigh thrust plus radialY factor and static safetyP0 and s0
Wheel hubTapered roller pairCombined radial, thrust, shockDirection and distributionC/P and preload
Crusher supportSpherical rollerImpact and misalignmentShock and distributionPeak static load
Precision spindleAngular contact setPreload with speedContact angle and heatThermal/lube limits
6 Tips and safety note
Tip: If the catalog gives several X/Y rows, use the row selected by Fa/Fr and the bearing's e value rather than a generic example.
Tip: Treat shock factor as a peak-load allowance. If measured peak loads are available, enter the peak loads and keep the factor closer to service reality.
Tip: Static equivalent load matters for slow oscillation, transport loads, press fits, hoisting events, and machines that see heavy starts.
Tip: L10 life is a statistical fatigue estimate for a population. Lubrication, contamination, mounting fit, heat, and alignment can dominate real life.
Safety note: Bearing calculations are engineering estimates and do not replace manufacturer catalog selection, shaft and housing analysis, lubrication review, temperature derating, mounting checks, or qualified engineering approval for critical rotating equipment.

Bearings doesnt typically fail due to a single large overload; instead, the combination of radial and axial loads can cause bearing failures. Radial loads are applied to the bearing in a direction that is perpendicular to the shaft, and axial loads is applied in a direction that is along the length of the shaft. Many bearings has to handle both radial and axial loads simultaneously.

The lifespan of a bearing depends on the understanding of the combined loads that the bearing will experience. If the loads are understood corect, the bearing will last the intended amount of time. However, if the bearing and load are not understood correctly, the bearing will fails.

How Radial and Axial Loads Affect Bearings

The radial load will be the load applied perpendicular to the shaft and the axial load will be applied along the length of the shaft. Deep groove ball bearing can handle some axial loads, but deep groove ball bearings will fail if the axial load to radial load ratio becomes too high. The calculator can help determine the correct values of the loads that will be applied to the bearing.

In addition to the radial and axial loads that are applied to the bearing, the X and Y factors from the bearing catalog must also be entered into the calculator. The manufacturers of the bearing determine the X and Y factors to indicate how the bearing will respond to loads. Static load is different than dynamic load.

Static load refers to the force that is applied to the bearing when the machine that utilizes the bearing is not in motion. The machine may not operate for long periods of time, but when it is in operation, the bearing must be able to handle the static load that is placed upon it when the machine is not in operation. The static load may be from the weight of the machine or the belt that is placed upon the rolling elements of the bearing.

The equivalent static load must be calculated to ensure that the static load will not create dents in those rolling elements of the bearing. If the rolling elements of the bearing are permanently dented, the bearing will vibrate and create noise. These types of problems will occur before the bearing reaches its fatigue life.

The safety margin of the bearing can be calculated by dividing the catalog static rating of the bearing by the static load of the bearing being calculated. The safety margin should be calculated even if the dynamic load calculations of the bearing are within safe limits. For bearings that are used with axial loads, the contact angle of the bearing is important.

The higher the contact angle of the bearing, the more likely the rolling elements of the bearing will be tilted such that the bearing can handle axial loads. The higher the contact angle of the bearing, the lower the dynamic radial factor X of the bearing will be. Additionally, the axial factor Y will increase as the contact angle of the bearing increases.

If the user changes the contact angle of the bearing in the calculator, the X and Y factors will be updated within the calculation. The bearing type must be selected prior to entering any values into the bearing calculator. Shock and distribution factor are also incorporated into the bearing load calculations.

The shock factor is applied to bearings in machines that do not always operate smoothly. For instance, the motor that is mounted on a rigid stand will experience a much lower shock factor than a motor that is used to drive a crusher machine. The distribution factor takes into account the fact that each of the bearings mounted to a shaft will not necessarily have the same load.

The shaft will not be perfectly straight, and the housing for the bearings will not necessarily be perfectly stiff. Youll have to enter the shock factor and the distribution factor honestly into the calculator. The L10 life estimate for the bearing is a statistical median for the life of the bearing.

The L10 life estimate assumes that the lubricant is clean and that the fit between the bearing and the bearing housing is correct. Additionally, the L10 life estimate of the bearing assumes that the operating temperature of the bearing will not negatively impact the lubricant or the steel of the bearing. In many cases, the contamination of the lubricant and poor lubrication will reduce the life of the bearing by half before it reaches its fatigue limit.

The required dynamic load rating for the bearing is an estimate based on the planning of the manufacturer, but it isnt the final answer. If the dynamic load required for the bearing is higher than the rating of the bearing that is to be used, then the load calculations should of been performed again. There are reference tables within the bearing calculator to indicate which types of bearings are used for different types of load conditions.

The reference tables are not a replacement for the bearing catalog, however. The catalog will provide exact X and Y factor for the bearing that is to be used. The service-condition tables show the typical values of the shock and distribution factors for the types of machines that are indicated in the tables.

These tables provide engineers with an idea of the types of loads that are placed upon bearing by different types of machines. Engineers can use these tables to make certain that the loads calculated with the bearing calculator are appropriate. Calculating the loads of the bearing prior to purchase of the hardware is useful in that it will force the engineer or designer to think about the actual operation of the machine.

Machines can experience high loads during the startup period, or the machine may experience thermal growth of the components. Additionally, the tension of the belt that is used to transfer torque to another component may be increased at some point during the operation of the machine. While the bearing load calculator does not have the measuring devices required to measure these types of loads, it can be used to test the assumptions of the engineer or designer.

If the safety margin of the bearing is too low for the operation of the machine, the loads should be verified prior to the purchase of the bearing.

Bearing Load Calculator

Author

  • Thomas Martinez

    Hi, I am Thomas Martinez, the owner of ToolCroze.com! As a passionate DIY enthusiast and a firm believer in the power of quality tools, I created this platform to share my knowledge and experiences with fellow craftsmen and handywomen alike.

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