Ball and Roller Bearings - Ntn-snr.com
Ball and Roller Bearings - Ntn-snr.com
Ball and Roller Bearings - Ntn-snr.com
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Bearing Internal Clearance <strong>and</strong> Preload<br />
(1) Reduced clearance due to interference<br />
When bearings are installed with interference fits on<br />
shafts <strong>and</strong> in housings, the inner ring will exp<strong>and</strong> <strong>and</strong> the<br />
outer ring will contract; thus reducing the bearings'<br />
internal clearance. The amount of expansion or<br />
contraction varies depending on the shape of the<br />
bearing, the shape of the shaft or housing, dimensions of<br />
the respective parts, <strong>and</strong> the type of materials used. The<br />
differential can range from approximately 70% to 90%<br />
of the effective interference.<br />
f (0.700.90) ∆deff (8.2)<br />
where,<br />
f : Reduced amount of clearance due to<br />
interference, mm<br />
∆deff : Effective interference, mm<br />
(2) Reduced internal clearance due to inner/outer ring<br />
temperature difference.<br />
During operation, normally the outer ring will range<br />
from 5 to 10 cooler than the inner ring or rotating parts.<br />
However, if the cooling effect of the housing is large, the<br />
shaft is connected to a heat source, or a heated<br />
substance is conducted through the hollow shaft; the<br />
temperature difference between the two rings can be<br />
even greater. The amount of internal clearance is thus<br />
further reduced by the differential expansion of the<br />
two rings.<br />
t ∆TDo (8.3)<br />
where,<br />
t : Amount of reduced clearance due to heat<br />
differential, mm<br />
: Bearing steel linear expansion coefficient<br />
12.5 10 -6 /˚C<br />
∆T : Inner/outer ring temperature differential, <br />
Do : Outer ring raceway diameter, mm<br />
Outer ring raceway diameter, Do, values can be<br />
approximated by using formula (8.4) or (8.5).<br />
For ball bearings <strong>and</strong> spherical roller bearings,<br />
Do 0.20 (d 4.0D) (8.4)<br />
For roller bearings (except self-aligning),<br />
Do 0.25 (d 3.0D) (8.5)<br />
where,<br />
d : Bearing bore diameter, mm<br />
D : Bearing outside diameter, mm<br />
Table 8.3 Radial internal clearance of deep groove ball bearings<br />
Unitm<br />
Nominal bore diameter<br />
C2<br />
CN<br />
C3<br />
C4<br />
C5<br />
dmm<br />
over incl. min max min max min max min max min max<br />
<br />
2.5<br />
6<br />
2.5<br />
6<br />
10<br />
0<br />
0<br />
0<br />
6<br />
7<br />
7<br />
4<br />
2<br />
2<br />
11<br />
13<br />
13<br />
10<br />
8<br />
8<br />
20<br />
23<br />
23<br />
<br />
<br />
14<br />
<br />
<br />
29<br />
<br />
<br />
20<br />
<br />
<br />
37<br />
10<br />
18<br />
24<br />
18<br />
24<br />
30<br />
0<br />
0<br />
1<br />
9<br />
10<br />
11<br />
3<br />
5<br />
5<br />
18<br />
20<br />
20<br />
11<br />
13<br />
13<br />
25<br />
28<br />
28<br />
18<br />
20<br />
23<br />
33<br />
36<br />
41<br />
25<br />
28<br />
30<br />
45<br />
48<br />
53<br />
30<br />
40<br />
50<br />
40<br />
50<br />
65<br />
1<br />
1<br />
1<br />
11<br />
11<br />
15<br />
6<br />
6<br />
8<br />
20<br />
23<br />
28<br />
15<br />
18<br />
23<br />
33<br />
36<br />
43<br />
28<br />
30<br />
38<br />
46<br />
51<br />
61<br />
40<br />
45<br />
55<br />
64<br />
73<br />
90<br />
65<br />
80<br />
100<br />
80<br />
100<br />
120<br />
1<br />
1<br />
2<br />
15<br />
18<br />
20<br />
10<br />
12<br />
15<br />
30<br />
36<br />
41<br />
25<br />
30<br />
36<br />
51<br />
58<br />
66<br />
46<br />
53<br />
61<br />
71<br />
84<br />
97<br />
65<br />
75<br />
90<br />
105<br />
120<br />
140<br />
120<br />
140<br />
160<br />
140<br />
160<br />
180<br />
2<br />
2<br />
2<br />
23<br />
23<br />
25<br />
18<br />
18<br />
20<br />
48<br />
53<br />
61<br />
41<br />
46<br />
53<br />
81<br />
91<br />
102<br />
71<br />
81<br />
91<br />
114<br />
130<br />
147<br />
105<br />
120<br />
135<br />
160<br />
180<br />
200<br />
180<br />
200<br />
225<br />
200<br />
225<br />
250<br />
2<br />
2<br />
2<br />
30<br />
35<br />
40<br />
25<br />
25<br />
30<br />
71<br />
85<br />
95<br />
63<br />
75<br />
85<br />
117<br />
140<br />
160<br />
107<br />
125<br />
145<br />
163<br />
195<br />
225<br />
150<br />
175<br />
205<br />
230<br />
265<br />
300<br />
250<br />
280<br />
315<br />
280<br />
315<br />
355<br />
2<br />
2<br />
3<br />
45<br />
55<br />
60<br />
35<br />
40<br />
45<br />
105<br />
115<br />
125<br />
90<br />
100<br />
110<br />
170<br />
190<br />
210<br />
155<br />
175<br />
195<br />
245<br />
270<br />
300<br />
225<br />
245<br />
275<br />
340<br />
370<br />
410<br />
355<br />
400<br />
450<br />
400<br />
450<br />
500<br />
3<br />
3<br />
3<br />
70<br />
80<br />
90<br />
55<br />
60<br />
70<br />
145<br />
170<br />
190<br />
130<br />
150<br />
170<br />
240<br />
270<br />
300<br />
225<br />
250<br />
280<br />
340<br />
380<br />
420<br />
315<br />
350<br />
390<br />
460<br />
510<br />
570<br />
500<br />
560<br />
560<br />
630<br />
10<br />
10<br />
100<br />
110<br />
80<br />
90<br />
210<br />
230<br />
190<br />
210<br />
330<br />
360<br />
310<br />
340<br />
470<br />
520<br />
440<br />
490<br />
630<br />
690<br />
A-57
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