technical principles rolling bearings load carrying capacity and life

15
Principles Rolling bearings Shaft guidance systems Track roller guidance systems Monorail guidance systems Top Schaeffler KG introduced the “Expanded calculation of the adjusted rating life” in 1997. This method was standardised for the first time in DIN ISO 281 Appendix 1 and has been a constituent part of the international standard ISO 281 since 2007. As part of the international standardisation work, the life adjustment factor a DIN was renamed as a ISO but without any change to the calculation method. Top Fatigue theory as a principle The basis of the rating life calculation in accordance with ISO 281 is Lundberg and Palmgren's fatigue theory which always gives a final rating life. However, modern, high quality bearings can exceed by a considerable margin the values calculated for the basic rating life under favourable operating conditions. Ioannides and Harris have developed a further model of fatigue in rolling contact that expands on the Lundberg/Palmgren theory and gives a better description of the performance capability of modern bearings. The method “Expanded calculation of the adjusted rating life” takes account of the following influences: the bearing load the fatigue limit of the material the extent to which the surfaces are separated by the lubricant the cleanliness in the lubrication gap additives in the lubricant the internal load distribution and frictional conditions in the bearing. The influencing factors, especially those relating to contamination, are extremely complex. A great deal of experience is essential for an accurate assessment. As a result the Engineering Service of Schaeffler Group Industrial should be consulted for further advice. The tables and diagrams can only give guide values. Top Dimensioning of rolling bearings The required size of a rolling bearing is dependent on the demands made on its: rating life load carrying capacity operational reliability. Top Dynamic load carrying capacity and life The dynamic load carrying capacity is described in terms of the basic dynamic load ratings. The basic dynamic load ratings are based on DIN ISO 281. The basic dynamic load ratings for rolling bearings are matched to empirically proven performance standards and those published in previous FAG and INA catalogues. The fatigue behaviour of the material determines the dynamic load carrying capacity of the rolling bearing. Load carrying capacity and life Fatigue theory as a principle Dimensioning of rolling bearings Dynamic load carrying capacity and life Calculation of the rating life Equivalent operating values Required rating life Operating life Axial load carrying capacity of cylindrical roller bearings Static load carrying capacity medias® professional – Product catalogue Technical principles Rolling bearings Load carrying capacity and life http://medias.ina.com/medias/en!hp.tg.cat/tg_hr*ST4_102027403 1 of 15 7/5/2014 1:24 PM

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Page 1: Technical Principles Rolling Bearings Load Carrying Capacity and Life

Principles Rolling bearings Shaft guidance systems Track roller guidance systems Monorail guidance systems

Top

Schaeffler KG introduced the “Expanded calculation of the adjusted rating

life” in 1997. This method was standardised for the first time in

DIN ISO 281 Appendix 1 and has been a constituent part of the

international standard ISO 281 since 2007.

As part of the international standardisation work, the life adjustment factor

aDIN was renamed as aISO but without any change to the calculation

method.

Top

Fatigue theory as aprinciple

The basis of the rating life calculation in accordance with ISO 281 is

Lundberg and Palmgren's fatigue theory which always gives a final rating

life.

However, modern, high quality bearings can exceed by a considerable

margin the values calculated for the basic rating life under favourable

operating conditions. Ioannides and Harris have developed a further model

of fatigue in rolling contact that expands on the Lundberg/Palmgren theory

and gives a better description of the performance capability of modern

bearings.

The method “Expanded calculation of the adjusted rating life” takes

account of the following influences:

the bearing load

the fatigue limit of the material

the extent to which the surfaces are separated by the lubricant

the cleanliness in the lubrication gap

additives in the lubricant

the internal load distribution and frictional conditions in the bearing.

The influencing factors, especially those relating to contamination, are

extremely complex. A great deal of experience is essential for an accurate

assessment. As a result the Engineering Service of Schaeffler Group

Industrial should be consulted for further advice.

The tables and diagrams can only give guide values.

Top

Dimensioning ofrolling bearings

The required size of a rolling bearing is dependent on the demands made

on its:

rating life

load carrying capacity

operational reliability.

Top

Dynamic loadcarrying capacity and life

The dynamic load carrying capacity is described in terms of the basic

dynamic load ratings. The basic dynamic load ratings are based on

DIN ISO 281.

The basic dynamic load ratings for rolling bearings are matched to

empirically proven performance standards and those published in previous

FAG and INA catalogues.

The fatigue behaviour of the material determines the dynamic load carrying

capacity of the rolling bearing.

Load carrying capacity and lifeFatigue theory as a principleDimensioning of rolling bearingsDynamic load carrying capacity and lifeCalculation of the rating lifeEquivalent operating valuesRequired rating lifeOperating lifeAxial load carrying capacity of cylindrical roller bearingsStatic load carrying capacity

medias® professional – Product catalogue

Technical principles Rolling bearings Load carrying capacity and life http://medias.ina.com/medias/en!hp.tg.cat/tg_hr*ST4_102027403

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Page 2: Technical Principles Rolling Bearings Load Carrying Capacity and Life

The dynamic load carrying capacity is described in terms of the basic

dynamic load rating and the basic rating life.

The fatigue life is dependent on:

the load

the operating speed

the statistical probability of the first appearance of failure.

The basic dynamic load rating C applies to rotating rolling bearings. It is:

a constant radial load Cr for radial bearings

a constant, concentrically acting axial load Ca for axial bearings.

The basic dynamic load rating C is that load of constant magnitude and

direction which a sufficiently large number of apparently identical bearings

can endure for a basic rating life of one million revolutions.

Top

Calculation of the rating life The methods for calculating the rating life are:

basic rating life L10 and L10h to ISO 281, see link

adjusted rating life Lna to DIN ISO 281:1990 (no longer a constituent part

of ISO 281), see link

expanded adjusted rating life Lnm to ISO 281, see link.

Basic rating life The basic rating life L10 and L10h is calculated as follows:

L10 106 revolutionsThe basic rating life in millions of revolutions is the life reached or exceeded by 90% ofa sufficiently large group of apparently identical bearings before the first evidence ofmaterial fatigue developsL10h hThe basic rating life as defined for L10 but expressed in operating hoursC NBasic dynamic load ratingP NEquivalent dynamic bearing load for radial and axial bearingspLife exponent; for roller bearings: p = 10/3 for ball bearings: p = 3n min–1

Operating speed.

Equivalent dynamic load

The equivalent dynamic load P is a calculated value. This value is constant

in size and direction; it is a radial load for radial bearings and an axial load

for axial bearings.

The load value P gives the same rating life as the combined load occurring

in practice.

P NEquivalent dynamic bearing loadFr NRadial dynamic bearing loadFa NAxial dynamic bearing loadXRadial factor given in the dimension tables or product descriptionYAxial factor given in the dimension tables or product description.

This calculation cannot be applied to radial needle roller bearings, axial

needle roller bearings and axial cylindrical roller bearings. Combined loads

are not permissible with these bearings.

TopAdjusted rating life

The adjusted rating life Lna can be calculated if, in addition to the load and

speed, other influences are known such as:

special material characteristics

lubrication

or

if a requisite reliability other than 90% is specified.

This calculation method was replaced in ISO 281:2007 by the calculation of

the expanded adjusted rating life Lnm, see link.

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Lna 106 revolutionsAdjusted rating life for special material characteristics and operating conditions with arequisite reliability of (100 – n) %L10 106 revolutionsBasic rating lifea1Life adjustment factor for a requisite reliability other than 90%. In ISO 281:2007, thevalues for the life adjustment factor a1 have been redefined, see tablea2Life adjustment factor for special material characteristics. For standard rolling bearingsteels: a2 = 1a3Life adjustment factor for special operating conditions; in particular lubrication, Figure 1.

The viscosity ratio κ is determined according to the formula on link.

Good cleanliness and suitable

additives

Very high cleanliness and low load

Contamination in the lubricant

a3 = life adjustment factor

κ = viscosity ratio

Figure 1

Life adjustment factor a3

Viscosity ratio The viscosity ratio κ is an indication of the quality of lubricant film formation:

ν mm2s–1

Kinematic viscosity of the lubricant at operating temperatureν1 mm2s–1

Reference viscosity of the lubricant at operating temperature.

The reference viscosity ν1 is determined from the mean bearing diameter

dM = (D + d)/2 and the operating speed n, Figure 2.

The nominal viscosity of the oil at +40 °C is determin ed from the required

operating viscosity ν and the operating temperature ϑ, Figure 3. In the case

of greases, ν is the operating viscosity of the base oil.

In the case of heavily loaded bearings with a high proportion of sliding

contact, the temperature in the contact area of the rolling elements may be

up to 20 K higher than the temperature measured on the stationary ring

(without the influence of any external heat).

Taking account of EP additives in calculation of the expanded adjusted

rating life Lnm: see link.

ν1 = reference viscosity

dM = mean bearing diameter

n = speed

Figure 2

Reference viscosity ν1

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Page 4: Technical Principles Rolling Bearings Load Carrying Capacity and Life

ν = operating viscosity

ϑ = operating temperature

ν40 = viscosity at +40 °C

Figure 3

V/T diagram for mineral oils

TopExpanded adjusted rating life

The calculation of the expanded adjusted rating life Lnm was standardised

in DIN ISO 281 Appendix 1. Since 2007, it has been standardised in the

worldwide standard ISO 281. Computer-aided calculation in accordance

with DIN ISO 281 Appendix 4 has been specified since 2008 in

ISO/TS 16 281.

Lnm is calculated as follows:

Lnm 106 revolutionsExpanded adjusted rating life to ISO 281a1Life adjustment factor for a requisite reliability other than 90%, see tableaISOLife adjustment factor for operating conditionsL10 106 revolutionsBasic rating life, see link.

The values for the life adjustment factor a1 were redefined in ISO 281:2007

and differ from the previous data.

Life adjustment factor a1

Requisite

reliability

Expanded adjusted rating

life

Life adjustment

factor

% Lnm a1

90 L10m 1

95 L5m 0,64

96 L4m 0,55

97 L3m 0,47

98 L2m 0,37

99 L1m 0,25

99,2 L0,8m 0,22

99,4 L0,6m 0,19

99,6 L0,4m 0,16

99,8 L0,2m 0,12

99,9 L0,1m 0,093

99,92 L0,08m 0,087

99,94 L0,06m 0,08

99,95 L0,05m 0,077

Life adjustment factor aISO

The standardised method for calculating the life adjustment factor aISO

essentially takes account of:

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Page 5: Technical Principles Rolling Bearings Load Carrying Capacity and Life

the load on the bearing

the lubrication conditions (viscosity and type of lubricant, speed, bearing

size, additives)

the fatigue limit of the material

the type of bearing

the residual stress in the material

the environmental conditions

contamination in the lubricant.

aISOLife adjustment factor for operating conditions,Figure 4 to Figure 7eCLife adjustment factor for contamination, see tableCu NFatigue limit loadP NEquivalent dynamic bearing loadκ

Viscosity ratio, see linkFor κ > 4, calculation should be carried out using κ = 4.For κ < 0,1, this calculation method cannot be used.

Taking account of EP additives in thelubricant

In accordance with ISO 281, EP additives can be taken into consideration

in the following way:

For a viscosity ratio κ < 1 and a contamination factor eC ≧ 0,2,

calculation can be carried out using the value κ = 1 for lubricants with

EP additives that have proven effective. With severe contamination

(contamination factor eC < 0,2), the effectiveness of the additives under

these contamination conditions must be proven. The effectiveness of the

EP additives can be demonstrated in the actual application or on a

rolling bearing test rig FE 8 to DIN 51 819-1.If the EP additives are

proven effective and calculation is carried out using the value κ = 1, the

life adjustment factor must be restricted to aISO ≦ 3. If the value aISO

calculated for the actual κ is greater than 3, this value can be used in

calculation.

Figure 4

Life adjustment factor aISO

for radial roller bearings

Figure 5

Life adjustment factor aISO

for axial roller bearings

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Page 6: Technical Principles Rolling Bearings Load Carrying Capacity and Life

Figure 6

Life adjustment factor aISO

for radial ball bearings

Figure 7

Life adjustment factor aISO

for axial ball bearings

TopFatigue limit load

The fatigue limit load Cu in accordance with ISO 281 is defined as the load

below which, under laboratory conditions, no fatigue occurs in the material.

TopLife adjustment factor

for contamination

The life adjustment factor for contamination ec takes into consideration the

influence of contamination in the lubrication gap on the rating life, see

table.

The rating life is reduced by solid particles in the lubrication gap and is

dependent on:

the type, size, hardness and number of particles

the relative lubrication film thickness

the bearing size.

Due to the complex nature of the interaction between these influencing

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factors, only an approximate guide value can be attained. The values in the

tables are valid for contamination by solid particles (factor eC). They do not

take account of other contamination such as that caused by water or other

fluids.

Under severe contamination (eC → 0) the bearings may fail due to wear. In

this case, the operating life is substantially less than the calculated life.

Factor eC

Contamination Factor eC

dM <<<<

100 mm1)dM ≧≧≧≧

100 mm1)

Extreme cleanliness

Particle size within lubricant film

thickness

Laboratory conditions

1 1

High cleanliness

Oil filtered through extremely fine filter

Sealed, greased bearings

0,8 to 0,6 0,9 to 0,8

Standard cleanliness

Oil filtered through fine filter

0,6 to 0,5 0,8 to 0,6

Slight contamination

Slight contamination of oil

0,5 to 0,3 0,6 to 0,4

Typical contamination

Bearing contaminated with abraded

material from other machine elements

0,3 to 0,1 0,4 to 0,2

Heavy contamination

Bearing environment is heavily

contaminated

Bearing arrangement is insufficiently

sealed

0,1 to 0 0,1 to 0

Very heavy contamination 0 0

______

1 dM = mean bearing diameter (d + D)/2.

Top

Equivalent operating values

The rating life formulae assume a constant bearing load P and constant

bearing speed n. If the load and speed are not constant, equivalent

operating values can be determined that induce the same fatigue as the

actual conditions.

The equivalent operating values calculated here already take account of

the life adjustment factors a3 or aISO. They must not be applied again when

calculating the adjusted rating life.

Variable load and speed

If the load and speed vary over a time period T, the speed n and equivalent

bearing load P are calculated as follows:

Variation in steps

If the load and speed vary in steps over a time period T, n and P are

calculated as follows:

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TopVariable load at constant speed

If the function F describes the variation in the load over a time period T and

the speed is constant, P is calculated as follows:

TopLoad varying in steps and

constant speed If the load varies in steps over a time period T and the speed is constant, P

is calculated as follows:

TopConstant load at variable speed If the speed varies but the load remains constant, the following applies:

TopConstant load with

speed varying in steps If the speed varies in steps, the following applies:

TopUnder oscillating bearing motion The equivalent speed is calculated as follows:

The formula is valid only if the angle of oscillation is greater than twice the

angular pitch of the rolling elements. If the angle of oscillation is smaller,

there is a risk of false brinelling.

Figure 8

Angle of oscillation φ

TopSymbols, units and definitions

n min–1

Mean speedT minTime period under considerationP NEquivalent bearing loadpLife exponent;for roller bearings: p = 10/3for ball bearings: p = 3ai, a(t)Life adjustment factor aISO for current operating condition,see linkni, n(t) min–1

Bearing speed for current operating conditionqi %

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Duration of operating condition as a proportion of the total operating period;qi = (∆ti/T) · 100Fi, F(t) NBearing load during the current operating conditionnosc min–1

Frequency of oscillating motionφ °Angle of oscillation, Figure 8.

Top

Required rating life If no information is available on the rating life, the guide values from the

following tables may be used.

Do not overspecify the bearing. If the calculated life is > 60 000 h, this

normally means that the bearing arrangement is overspecified. Pay

attention to the minimum load for the bearings; see the design and safety

guidelines in the product sections.

Motor vehicles

Mounting location Recommended rating life in

h

Ballbearings

Rollerbearings

from to from to

Motorcycles 400 2 000 400 2 400

Passenger car powertrains 500 1 100 500 1 200

Passenger car gearboxes protected

against contamination

200 500 200 500

Passenger car wheel bearings 1 400 5 300 1 500 7 000

Light commercial vehicles 2 000 4 000 2 400 5 000

Medium commercial vehicles 2 900 5 300 3 600 7 000

Heavy commercial vehicles 4 000 8 800 5 000 12 000

Buses 2 900 11 000 3 600 16 000

Internal combustion engines 900 4 000 900 5 000

Rail vehicles

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Wheelset bearings for freight wagons 7 800 21 000 - -

Tram carriages - - 35 000 50 000

Passenger carriages - - 20 000 35 000

Goods wagons - - 20 000 35 000

Tipper wagons - - 20 000 35 000

Powered units - - 35 000 50 000

Locomotives, external bearings - - 35 000 50 000

Locomotives, internal bearings - - 75 000 110 000

Gearboxes for rail vehicles 14 000 46 000 20 000 75 000

Shipbuilding

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Marine thrust blocks - - 20 000 50 000

Marine shaft bearings - - 50 000 200 000

Large marine gearboxes 14 000 46 000 20 000 75 000

Small marine gearboxes 4 000 14 000 5 000 20 000

Boat propulsion systems 1 700 7 800 2 000 10 000

Agricultural machinery

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Tractors 1 700 4 000 2 000 5 000

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Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Self-propelled machinery 1 700 4 000 2 000 5 000

Seasonal machinery 500 1 700 500 2 000

Construction machinery

Mounting location Recommended rating life in

h

Ball

bearings

Roller

bearings

from to from to

Dozers, loaders 4 000 7 800 5 000 10 000

Excavators, travelling gear 500 1 700 500 2 000

Excavators, slewing gear 1 700 4 000 2 000 5 000

Vibratory road rollers, imbalance

generators

1 700 4 000 2 000 5 000

Vibrator bodies 500 1 700 500 2 000

Electric motors

Mounting location Recommended rating life in

h

Ball bearings Roller bearings

from to from to

Electric motors for household

appliances

1 700 4 000 - -

Series motors 21 000 32 000 35 000 50 000

Large motors 32 000 63 000 50 000 110 000

Electric traction motors 14 000 21 000 20 000 35 000

Rolling mills, steelworks equipment

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Roll stands 500 14 000 500 20 000

Rolling mill gearboxes 14 000 32 000 20 000 50 000

Roller tables 7 800 21 000 10 000 35 000

Centrifugal casting machines 21 000 46 000 35 000 75 000

Machine tools

Mounting location Recommended rating life inh

Ball bearings Roller bearings

from to from to

Headstock spindles, milling spindles 14 000 46 000 20 000 75 000

Drilling spindles 14 000 32 000 20 000 50 000

Grinding spindles 7 800 21 000 10 000 35 000

Workpiece spindles in grinding

machines

21 000 63 000 35 000 110 000

Machine tool gearboxes 14 000 32 000 20 000 50 000

Presses, flywheels 21 000 32 000 35 000 50 000

Presses, eccentric shafts 14 000 21 000 20 000 35 000

Electric tools and compressed air tools 4 000 14 000 5 000 20 000

Woodworking machinery

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Milling spindles and cutter blocks 14 000 32 000 20 000 50 000

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Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Saw frames, main bearings - - 35 000 50 000

Saw frames, connecting rod bearings - - 10 000 20 000

Circular saws 4 000 14 000 5 000 20 000

Gearboxes in

general machine building

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Universal gearboxes 4 000 14 000 5 000 20 000

Geared motors 4 000 14 000 5 000 20 000

Large gearboxes, stationary 14 000 46 000 20 000 75 000

Conveying equipment

Mounting location Recommended rating life inh

Ball bearings Roller

bearings

from to from to

Belt drives, mining - - 75 000 150 000

Conveyor belt rollers, mining 46 000 63 000 75 000 110 000

Conveyor belt rollers, general 7 800 21 000 10 000 35 000

Belt drums - - 50 000 75 000

Bucket wheel excavators, travel drive 7 800 21 000 10 000 35 000

Bucket wheel excavators, bucket wheel - - 75 000 200 000

Bucket wheel excavators, bucket wheel

drive

46 000 83 000 75 000 150 000

Winding cable sheaves 32 000 46 000 50 000 75 000

Sheaves 7 800 21 000 10 000 35 000

Pumps, fans, compressors

Mounting location Recommended rating life inh

Ball bearings Roller bearings

from to from to

Ventilators, fans 21 000 46 000 35 000 75 000

Large fans 32 000 63 000 50 000 110 000

Piston pumps 21 000 46 000 35 000 75 000

Centrifugal pumps 14 000 46 000 20 000 75 000

Hydraulic axial and radial piston

engines

500 7 800 500 10 000

Gear pumps 500 7 800 500 10 000

Compressors 4 000 21 000 5 000 35 000

Centrifuges, stirrers

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Centrifuges 7 800 14 000 10 000 20 000

Large stirrers 21 000 32 000 35 000 50 000

Textile machinery

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Spinning machines, spinning spindles 21 000 46 000 35 000 75 000

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Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Weaving and knitting machines 14 000 32 000 20 000 50 000

Plastics processing

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Plastics worm extruders 14 000 21 000 20 000 35 000

Rubber and plastics calenders 21 000 46 000 35 000 75 000

Crushers, mills, screens

Mounting location Recommended rating life in

h

Ball

bearings

Roller bearings

from to from to

Jaw crushers - - 20 000 35 000

Gyratory crushers, roll crushers - - 20 000 35 000

Rigid hammer mills, hammer mills,

impact crushers

– – 50 000 110 000

Tube mills - - 50 000 100 000

Vibration grinding mills - - 5 000 20 000

Grinding track mills - - 50 000 110 000

Vibrating screens - - 10 000 20 000

Briquette presses - - 35 000 50 000

Rotary furnace track rollers - - 50 000 110 000

Paper and printing machinery

Mounting location Recommended rating life in h

Ball bearings Roller bearings

from to from to

Paper machinery, wet section - - 110 000 150 000

Paper machinery, dry section - - 150 000 250 000

Paper machinery, refiners - - 80 000 120 000

Paper machinery, calenders - - 80 000 110 000

Printing machinery 32 000 46 000 50 000 75 000

Top

Operating life The operating life is defined as the life actually achieved by the bearing. It

may differ significantly from the calculated value.

This may be due to wear or fatigue as a result of:

deviations in operating conditions

misalignment between the shaft and housing

insufficient or excessive operating clearance

contamination

insufficient lubrication

excessive operating temperature

oscillating bearing motion with very small angles of oscillation (false

brinelling)

high vibration and false brinelling

very high shock loads (static overloading)

prior damage during installation.

Due to the wide variety of possible installation and operating conditions, it

is not possible to precisely predetermine the operating life. The most

reliable way of arriving at a close estimate is by comparison with similar

applications.

Top

Axial load carrying capacity Radial cylindrical roller bearings used as semi-locating and locating

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of cylindrical roller bearings bearings can support axial forces in one or both directions in addition to

radial forces.

The axial load carrying capacity is dependent on:

the size of the sliding surfaces between the ribs and the end faces of the

rolling elements

the sliding velocity at the ribs

the lubrication on the contact surfaces

the tilting of the bearing.

Ribs subjected to load must be supported across their entire height.

The permissible axial load Fa per must not be exceeded, in order to avoid

unacceptably high temperatures.

The limiting load Fa max must not be exceeded, in order to avoid

unacceptable pressure at the contact surfaces.

The ratio Fa/Fr must not exceed a value of 0,4. For bearings of TB design,

the value 0,6 is permissible.

Continuous axial loading without simultaneous radial loading is not

permissible.

Bearings of TB design

In the case of bearings of TB design, the axial load carrying capacity has

been significantly improved through the use of new calculation and

manufacturing methods.

Optimum contact conditions between the roller and rib are ensured by

means of a special curvature of the roller end faces. As a result, axial

surface pressures on the rib are significantly reduced and a lubricant film

with improved load-carrying capabilities is achieved. Under normal

operating conditions, wear and fatigue at the rib contact running and roller

end faces is completely eliminated. The axial frictional torque is reduced by

up to 50%. The bearing temperature during operation is therefore

significantly lower.

TopPermissible and

maximum axial load Fa per and Fa max are calculated as follows:

Bearings of standard design

Bearings of TB design

Bearings of standard and TB design

Fa per NPermissible axial loadFa max NAxial limiting loadkSFactor dependent on the lubrication method,see tablekBFactor dependent on the bearing series,see tabledM mmMean bearing diameter (d + D)/2n min–1

Operating speed.

Misalignment of the bearing

Misalignment caused by shaft deflection for example, may lead to

alternating stresses on the inner ring ribs. In this instance, the axial load

must be restricted to Fas in accordance with the formula where the bearing

is tilted up to a maximum of 2 angular minutes.

For more severe tilting, a separate strength analysis is required.

Factor kS

for lubrication method

Lubrication methods1) Factor

kS

Minimal heat dissipation, drip feed oil lubrication, oil mist

lubrication, low operating viscosity (ν < 0,5 · ν1)

7,5 to

10

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Lubrication methods1) Factor

kS

Little heat dissipation, oil sump lubrication, oil spray lubrication,

low oil flow

10 to

15

Good heat dissipation, recirculating oil lubrication (pressure oil

lubrication)

12 to

18

Very good heat dissipation,

recirculating oil lubrication with oil cooling,

high operating viscosity (ν > 2 · ν1)

16 to

24

______

1

The precondition for these kS values is the reference viscosity ν1 according to the

section Oil lubrication. Doped oils should be used such as CLP (DIN 51 517) and

HLP (DIN 51 524) of ISO-VG classes 32 to 460 and ATF oils (DIN 51 502) and

gearbox oils (DIN 51 512) of SAE viscosity classes 75 W to 140 W.

Bearing factor kB

Series FactorkB

SL1818, SL0148 4,5

SL1829, SL0149 11

SL1830, SL1850 17

SL1822 20

LSL1923, ZSL1923 28

SL1923 30

NJ2..-E, NJ22..-E, NUP2..-E, NUP22..-E 15

NJ3..-E, NJ23..-E, NUP3..-E, NUP23..-E 20

NJ4 22

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Static load carryingcapacity

Very high static loads or shock loads can cause plastic deformation on the

raceways and rolling elements. This deformation limits the static load

carrying capacity of the rolling bearing with respect to the permissible noise

level during operation of the bearing.

If a rolling bearing operates with only infrequent rotary motion or completely

without rotary motion, its size is determined in accordance with the basic

static load rating C0.

According to DIN ISO 76, this is:

a constant radial load C0r for radial bearings

a constant, concentrically acting axial load C0a for axial bearings.

The basic static load rating C0 is that load under which the Hertzian

pressure at the most heavily loaded point between the rolling elements and

raceways reaches the following values:

for roller bearings, 4 000 N/mm2

for ball bearings, 4 200 N/mm2

for self-aligning ball bearings, 4 600 N/mm2.

Under normal contact conditions, this load causes a permanent deformation

at the contact points of approx. 1/10 000 of the rolling element diameter.

Static load safety factor

In addition to dimensioning on the basis of the fatigue limit life, it is

advisable to check the static load safety factor. The guide values and

shock loads occurring in operation to table must be taken into

consideration, see table, link.

The static load safety factor S0 is the ratio between the basic static

load rating C0 and the equivalent static load P0:

S0Static load safety factorC0 (C0r,C0a)

N

Basic static load ratingP0 (P0r, P0a) NEquivalent static load on the radial or axial bearing, see link.

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Page 15: Technical Principles Rolling Bearings Load Carrying Capacity and Life

Guide values for axial spherical roller bearings and high precision bearings:

see corresponding product description.

For drawn cup needle roller bearings, S0 ≧ 3 is necessary.

Guide values

for static load safety factor

Operating conditions Static load safety factorS0

for roller

bearings

for ball

bearings

Smooth, low-vibration, normal operation

with minimal demands for smooth running;

bearings with slight rotary motion

≧ 1 ≧ 0,5

Normal operation with higher requirements

for smooth running

≧ 2 ≧ 1

Operation with pronounced shock loads ≧ 3 ≧ 2

Bearing arrangement with high

requirements for running accuracy and

smooth running

≧ 4 ≧ 3

Equivalent static load

The equivalent static load P0 is a calculated value. It corresponds to a

radial load in radial bearings and a concentric axial load in axial bearings.

P0 induces the same load at the centre point of the most heavily loaded

contact point between the rolling element and raceway as the combined

load occurring in practice.

P0 NEquivalent static bearing loadF0r NRadial static bearing loadF0a NAxial static bearing loadX0Radial factor given in the dimension tables or product descriptionY0Axial factor given in the dimension tables or product description.

This calculation cannot be applied to radial needle roller bearings, axial

needle roller bearings and axial cylindrical roller bearings. Combined loads

are not permissible with these bearings.

For radial needle roller bearings and all radial cylindrical roller bearings,

P0 = F0r.

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