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Engineering Section<br />
The<br />
These<br />
values<br />
thrust<br />
of X<br />
reactions<br />
<strong>and</strong> Y are<br />
are<br />
determined<br />
a critical<br />
using<br />
part<br />
Table<br />
of the<br />
2:<br />
Equivalent Radial Load equations for tapered roller<br />
bearings. TABLE 2<br />
Two Row Mounting - Identical Series<br />
R<br />
R A<br />
R B<br />
(F a<br />
) A<br />
F a<br />
The general AFBMA equation for the equivalent radial<br />
load<br />
Bearing<br />
e e<br />
is:<br />
F r F r<br />
Config.<br />
P = X F r<br />
+ Y YF a<br />
X Y (31)<br />
F a<br />
Single 1.00 0.00 0.40 Y<br />
where P = Equivalent radial load<br />
2<br />
Double 1.00 Y 1<br />
0.67 Y 2<br />
F r<br />
= Applied radial load<br />
Values for e, Y 1<br />
, <strong>and</strong> Y 2<br />
are listed in the tapered roller<br />
bearing dimension F a<br />
= Applied tables. thrust load<br />
In the calculation<br />
X = Radial<br />
of the<br />
load<br />
equivalent<br />
factor<br />
radial load for<br />
a tapered roller bearing, the algebraic sum of all<br />
external thrust Y = Thrust loads load <strong>and</strong> factor the thrust reactions of<br />
the bearings must be considered. All factors are<br />
automatically In the calculation included of the in equivalent the Equivalent radial Radial load Load for a<br />
formulas tapered bearing, shown in the Table algebraic 3 through sum of 5. all Note, external when thrust the<br />
calculated loads <strong>and</strong> the Equivalent thrust reactions Radial of Load the bearings is less than must the be<br />
applied considered. radial All load, factors the are radial automatically load alone included is used in the to<br />
estimate Equivalent the Radial bearing Load life. formulas shown in Table II. Note,<br />
when the calculated Equivalent Radial Load is less than<br />
the applied radial load, the radial load alone is used to<br />
estimate the bearing life.<br />
A<br />
Thrust<br />
Condition<br />
R<br />
Fa 0.<br />
6<br />
A<br />
Y<br />
Fa 0 6<br />
A<br />
Y<br />
R<br />
B<br />
Equivalent<br />
Radial Load<br />
P<br />
2 0.83 Y F<br />
A A a A<br />
A<br />
R<br />
P<br />
2 0.83 Y F<br />
B<br />
-<br />
A aA<br />
. R<br />
A A aA<br />
A<br />
TABLE 4<br />
R<br />
<br />
P 0.4R Y F<br />
P 0<br />
Two Row Mounting - Dissimilar Series<br />
B<br />
R A<br />
R B<br />
(F a<br />
) A<br />
TABLE II<br />
Equivalent EQUIVALENT Radial RADIAL Load LOAD Formulas FORMULAS<br />
SINGLE ROW MOUNTING<br />
Single Row Mounting<br />
A<br />
B<br />
TABLE 5<br />
0.47R<br />
KA<br />
0.5R<br />
Y<br />
A<br />
0.47R<br />
KA<br />
0.5R<br />
Y<br />
A<br />
A<br />
R A<br />
Thrust<br />
Condition<br />
Thrust<br />
Condition<br />
A<br />
0.47RB<br />
F<br />
<br />
A<br />
A<br />
A<br />
a A<br />
KB<br />
0.5R<br />
B<br />
F<br />
<br />
Y<br />
B<br />
a A<br />
0.47RB<br />
Fa<br />
<br />
KB<br />
0.5R<br />
B<br />
F<br />
<br />
Y<br />
B<br />
A<br />
a A<br />
(F a<br />
) A<br />
R B<br />
TABLE 3 Equivalent<br />
Radial<br />
Equivalent<br />
Load<br />
Radial Load<br />
00.50R . 47R<br />
B<br />
PA 0.<br />
40RA KY A<br />
Fa<br />
<br />
YK<br />
B<br />
0 . 5.<br />
R<br />
BB<br />
P 0.<br />
4 R<br />
<br />
Y<br />
F<br />
<br />
B<br />
PA B<br />
RB<br />
AA AA<br />
<br />
<br />
PB<br />
RB<br />
PA<br />
RA<br />
00.50R P<br />
47 B<br />
A<br />
<br />
B<br />
0R<br />
. 40 A RB KY B<br />
<br />
<br />
0 . 5<br />
PB 0.<br />
4 R<br />
BB<br />
Y<br />
BB<br />
<br />
<br />
<br />
Thrust<br />
Condition<br />
A<br />
R<br />
+ Fa 0.<br />
6<br />
A<br />
Y A<br />
Y B<br />
A<br />
Y<br />
Y<br />
A<br />
B<br />
PB<br />
-<br />
Y<br />
+ A<br />
Y<br />
B<br />
R<br />
<br />
F<br />
a 0 6<br />
PA 0.<br />
4R Y<br />
A Fa A<br />
A<br />
YA<br />
PB<br />
0<br />
<br />
(F a ) A<br />
<br />
<br />
<br />
a aAA<br />
<br />
Y<br />
BB<br />
<br />
. R <br />
A<br />
– (FF<br />
a ) A<br />
KY <br />
<br />
. R A <br />
AA–<br />
F<br />
a a<br />
<br />
AA<br />
<br />
Y<br />
AA<br />
<br />
. P<br />
Equivalent<br />
Radial Load<br />
Where: where<br />
R = Total radial load—lbs.<br />
R A<br />
= Radial load, brg. A—lbs.<br />
R B<br />
= Radial load, brg. B—lbs.<br />
(F a<br />
) A<br />
= External thrust on brg. A*—lbs.<br />
KY A = Factor Axial load K brg. factor A brg. A<br />
KY B = Factor Axial load K brg. factor B brg. B<br />
P A<br />
= Equivalent radial load, brg. A—lbs.<br />
P B<br />
= Equivalent radial load, brg. B—lbs.<br />
<br />
Y<br />
<br />
K K R 1.67 Y F<br />
B<br />
<br />
Y A a A<br />
K K R 1.67 Y F<br />
<br />
a A<br />
<br />
<br />
<br />
* When there are no external thrust loads F a<br />
= 0 in equations above.<br />
13