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ENGINEERING<br />
Bearing reactions<br />
BEARING REACTIONS<br />
DYNAMIC EQUIVALENT<br />
THRUST LOAD (P a )<br />
To calculate the fatigue life of a thrust bearing, it is necessary<br />
to calculate a dynamic equivalent thrust load, designated as P a.<br />
The dynamic equivalent thrust load is defined as the single thrust<br />
load that, if applied to the bearing, will result in the same life as<br />
the combined radial and thrust loading under which the bearing<br />
operates. For thrust ball, thrust spherical and thrust tapered<br />
roller bearings, the existence of radial loads introduces complex<br />
load calculations that must be carefully considered. If the radial<br />
load (F r) is zero, the dynamic equivalent thrust load will be equal<br />
to the applied thrust load (F a).<br />
THRUST BALL, CYLINDRICAL AND TAPERED<br />
ROLLER BEARINGS<br />
<strong>Thrust</strong> cylindrical roller bearings, as well as most thrust ball and<br />
thrust tapered roller bearings, are designed to carry thrust load<br />
only. The dynamic equivalent thrust load is equal to the applied<br />
thrust load (F a) for these pure thrust applications. For thrust ball<br />
and thrust tapered roller bearing applications where radial load<br />
is applied, load calculations become much more complex. Please<br />
consult your <strong>Timken</strong> engineer for a review of bearing selection<br />
and application.<br />
Angular contact thrust BALL BEARINGS<br />
For angular contact thrust ball bearings, the dynamic equivalent<br />
thrust load is determined by:<br />
P a = X F r + Y F a<br />
For standard TVL and DTVL bearings having a 50° contact angle,<br />
X = 0.76 and Y = 1.00. Minimim F a/F r ratio to maintain proper<br />
operation for these applications is 1.56.<br />
THRUST SPHERICAL ROLLER BEARINGS<br />
<strong>Thrust</strong> spherical roller bearing dynamic loads are determined by:<br />
P a = 1.2F r + F a<br />
Radial load (F r) of a thrust spherical roller bearing is proportional<br />
to the applied axial load (F a) such that F r≤ 0.55 F a. The steep<br />
roller angle induces a thrust load (F ai = 1.2F r) when a radial load<br />
is applied. This thrust load must be resisted by another thrust<br />
bearing on the shaft or by an axial load greater than F ai.<br />
STATIC AXIAL EQUIVALENT LOADS<br />
To compare the load on a non-rotating bearing with the basic<br />
static capacity, it is necessary to determine the static equivalent<br />
load. In the case of thrust bearings, the static equivalent thrust<br />
load is used. The static axial equivalent load is defined as the<br />
pure thrust load that produces the same contact pressure in the<br />
center of the most heavily stressed rolling element as the actual<br />
combined load. The static axial equivalent load is dependent on<br />
the bearing type selected. For bearings such as thrust cylindrical<br />
roller bearings and most thrust tapered roller bearings that are<br />
designed to accommodate thrust loading only, the static axial<br />
equivalent load is equal to the applied load. For thrust tapered<br />
roller bearings where a radial load or moment is applied, please<br />
consult your <strong>Timken</strong> engineer.<br />
THRUST BALL, CYLINDRICAL AND TAPERED<br />
ROLLER BEARINGS<br />
<strong>Thrust</strong> cylindrical roller bearings, as well as most thrust ball and<br />
thrust tapered roller bearings, are designed to carry thrust load<br />
only. The static axial equivalent load is equal to the applied thrust<br />
load for these pure thrust applications. For thrust ball and thrust<br />
tapered roller bearing applications where radial load is applied,<br />
load calculations become much more complex. Please consult<br />
your <strong>Timken</strong> engineer for these applications.<br />
Angular contact THRUST BALL BEARINGS<br />
Angular contact thrust ball bearings use the same equation for<br />
equivalent static and dynamic loading.<br />
P oa = X o F r + Y o F a<br />
For standard TVL and DVL bearings having a 50° contact angle,<br />
X = 0.76 and Y = 1.00.<br />
THRUST SPHERICAL ROLLER BEARINGS<br />
The following equation is used for thrust spherical roller bearings:<br />
P oa = F a + 2.7 F r<br />
<strong>Thrust</strong> spherical roller bearings require a minimum thrust load<br />
for proper operation. P oa should not be greater than 0.5 C oa. If<br />
conditions exceed this, consult your <strong>Timken</strong> engineer.<br />
20 TIMKEN ® THRUST Bearing Catalog