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Ball and Roller Bearings - Ntn-snr.com

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Technical Data<br />

17.4 Fitting surface pressure<br />

Table 17.4.1 lists equations for calculating the pressure<br />

<strong>and</strong> maximum allowable stress between fitting surfaces.<br />

Table 17.4.2 can be used to determine the approximate<br />

average groove diameter for bearing inner <strong>and</strong> outer<br />

rings.<br />

The effective interference, in other words the actual<br />

interference after fitting, is smaller than the apparent<br />

interference derived from the measured valued for the<br />

bearing bore diameter <strong>and</strong> shaft. This difference is due to<br />

the roughness or variations of the finished surfaces to be<br />

fitted, <strong>and</strong> therefore it is necessary to assume the<br />

following reductions in effective interference:<br />

For ground shafts: 1.0 2.5m<br />

For lathed shafts : 5.0 7.0m<br />

Table 17.4.1 Fitted surface pressure <strong>and</strong> maximum allowable stress<br />

Fitted<br />

surface<br />

pressure<br />

MPa<br />

kgf / mm 2 <br />

Maximum<br />

allowable<br />

stress<br />

MPa<br />

kgf / mm 2 <br />

Fit conditions<br />

Solid steel shaft/<br />

inner ring fit<br />

Hollow steel shaft/<br />

inner ring fit<br />

Steel housing/<br />

outer ring fit<br />

Shaft / inner ring fit<br />

Housing/<br />

outer ring fit<br />

Equation<br />

Codes (units: Nkgf, mm)<br />

d Shaft diameter, inner ring<br />

E ∆deff d 2<br />

bore diameter<br />

P =<br />

1- ( )<br />

2<br />

do<br />

d Di<br />

Hollow shaft inner<br />

diameter<br />

Di Inner ring average groove<br />

diameter<br />

E ∆deff 1- (d / D) 2 1- (d / d) 2 ∆deff Effective interference<br />

P =<br />

2 ∆d<br />

1 - (d / Di) 2 E<br />

<br />

Elasticity factor<br />

= 208,000 MPa 21,200 kgf / mm 2 <br />

D : Housing inner diameter,<br />

bearing outer diameter<br />

E ∆Deff 1 - (Do / D) 2 1 - (D / Dh) 2 Do : Outer ring average<br />

P =<br />

2 D<br />

1 - (Do /Dh) 2 groove diameter<br />

<br />

Dh : Housing outer diameter <br />

∆Deff : Effective interference<br />

1 + (d / Di)2<br />

Inner ring bore diameter face maximum<br />

t max = P<br />

1 – (d / Di) 2<br />

allowable stress<br />

2<br />

t max = P<br />

Outer ring inner diameter face maximum<br />

1 – (Do / D) 2 allowable stress<br />

Do<br />

do<br />

d<br />

D<br />

Di<br />

Dh<br />

Table 17.4.2 Average groove diameter<br />

Bearing type<br />

Average groove diameter<br />

Inner ring (Di ) Outer ring (Do )<br />

Deep groove<br />

ball bearings<br />

All types<br />

1.05<br />

4d + D<br />

5<br />

0.95<br />

d + 4D<br />

5<br />

Cylindrical<br />

roller bearings 1<br />

All types<br />

1.05<br />

3d + D<br />

4<br />

0.98<br />

d + 3D<br />

4<br />

Spherical<br />

roller bearings<br />

All types<br />

2d + D<br />

3<br />

0.97<br />

d + 4D<br />

d: Inner ring bore diameter mm D: Outer ring outer diameter mm<br />

1 Average groove diameter values shown for double rib type.<br />

5<br />

A-98

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