20.06.2016 Views

NTN - Cylindrical and Tapered Roller Bearings

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

<strong>Roller</strong> <strong>Bearings</strong><br />

l<br />

F <strong>Cylindrical</strong> <strong>Roller</strong> <strong>Bearings</strong><br />

7<br />

<strong>Cylindrical</strong> roller bearings with with opposed solid ribs on<br />

m<br />

h<br />

the inner <strong>and</strong> outer rings will support light to moderate<br />

F 3 c<br />

thrust loads.The maximum thrust load that a cylindrical<br />

B<br />

roller bearing will support is defined later in this section.<br />

F (F a ) 1<br />

5 b F2<br />

f<br />

d k F Field experience <strong>and</strong> laboratory tests have proven that<br />

6<br />

g F 4<br />

as long as as the the applied applied thrust thrust load load is less is than less the than applied the<br />

radial load <strong>and</strong> less than the limiting thrust rating, the<br />

A a<br />

(F a )<br />

applied radial load <strong>and</strong> less than the limiting thrust<br />

2<br />

rating,the fatigue life fatigue of the bearing life of the will bearing not be will adversely not be adversely affected.<br />

F 1 affected. Therefore, Therefore,the fatigue life fatigue of a cylindrical life of a cylindrical roller bearing roller<br />

Combine examples 1, 2, <strong>and</strong> 3.<br />

bearing under such under combined such combined loading loading conditions conditions will will be<br />

V 6 4 4 4 4 4 4 4 44 V7<br />

AA<br />

be<br />

4 4 4 4 4 4 4 4 48<br />

equivalent equivalent to the to the life under life under the applied the applied radial radial load. load. The<br />

<br />

2<br />

The Equivalent Equivalent Radial Radial Load Load concept concept is not is not applicable applicable to<br />

2<br />

–F F1 – Fa g – F7<br />

m<br />

cylindrical roller bearings.<br />

1 a + F 3 c + F 5 h F a 2 g F<br />

2 7 m<br />

R<br />

<br />

<br />

<br />

l<br />

<br />

<br />

to cylindrical roller bearings.<br />

A =<br />

+<br />

l<br />

<br />

<strong>Tapered</strong> <strong>Roller</strong> <strong>Bearings</strong><br />

<br />

H<br />

H A<br />

1 2<br />

6 4 4 4 4 4 44 7 A<br />

4 4 4 4 4 4 48<br />

<strong>Tapered</strong> roller bearings, due to their basic design,<br />

2 ½<br />

F 2<br />

F2 2 b F<br />

b – F 4 d F<br />

4<br />

– F a <br />

a <br />

1 f + F<br />

f 6 k<br />

F6<br />

k<br />

generate a thrust reaction when subjected to a<br />

1<br />

<br />

<br />

<br />

radial load. The magnitude of this thrust reaction<br />

l<br />

(25)<br />

is a function of the load, the included cup angle,<br />

(25) <strong>and</strong> the size of the load zone within the bearing. For<br />

<br />

convenience in load <strong>and</strong> life calculations, a Y 2<br />

factor<br />

– F1 <br />

m 2<br />

has been assigned to each tapered bearing series.<br />

R <br />

B = [(-F 1 + F 3 + F 5 + F 7 V A ) 2 + (F 2 - F 4 - F 6 H A ) 2 ] ½<br />

This factor is defined for single row bearings as:<br />

2<br />

F2 – F4 – F6 m HA <br />

1 2<br />

(26)<br />

Y 2<br />

= 0.4 cot (27)<br />

Suggestions: SUGGESTIONS:<br />

Where = 1/2 included cup angle<br />

1. If the overhanging forces are always located at the<br />

end of each component in the equation, the<br />

possibility of overlooking them <strong>and</strong> the<br />

accompanying sign change will be reduced.<br />

2. It will be much easier to learn one set of rules <strong>and</strong><br />

always use the right h<strong>and</strong> support as the momentcenter;<br />

however, the left h<strong>and</strong> support may be used<br />

if it is necessary. When using the left h<strong>and</strong> support<br />

as the moment-center, the signs for clockwise <strong>and</strong><br />

counterclockwise rotation must be reversed. All<br />

other rules remain the same. Be sure to follow the<br />

strict definition of an overhanging force.<br />

COMBINED LOADING EQUATIONS<br />

<strong>Bearings</strong> are frequently required to support a<br />

combination of radial <strong>and</strong> thrust loads. In order to<br />

calculate the bearing life under such conditions, it is<br />

necessary to calculate an Equivalent Radial Load. The<br />

theoretical bearing life under combined radial <strong>and</strong> thrust<br />

loading conditions will be the same as that which would<br />

be expected under a pure radial load equal to the<br />

Equivalent Radial Load.<br />

When the load on bearing (A) is pure radial (R A<br />

) <strong>and</strong><br />

the load zone within the bearing is 180° or less, the<br />

approximate thrust reaction (TR A<br />

) is:<br />

TR A<br />

= 0.50 R A<br />

(Y 2<br />

) A<br />

(28)<br />

When the load zone on bearing (B) approaches 360°<br />

due to a combined radial load (R B<br />

) <strong>and</strong> an external<br />

thrust load, its approximate thrust reaction is:<br />

TR B<br />

= 0.60 R B<br />

(Y 2<br />

) B<br />

(29)<br />

These thrust reactions are a critical part of the<br />

Equivalent Radial Load equations for tapered roller<br />

bearings.<br />

The general ABMA equation for the equivalent<br />

radial load is:<br />

P = X F r<br />

+ Y F a<br />

(30)<br />

Where: P = Equivalent radial load<br />

F r = Applied radial load<br />

F a = Applied thrust load<br />

X = Radial load factor<br />

Y = Thrust load factor<br />

12

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!