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Needle Roller Bearings - Ntn-snr.com

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Calculation of Bearing Loads<br />

NTN<br />

3.1.2 Loads acting on chain and belt shafts<br />

In the case of power transmission by a chain and a<br />

belt, the load acting tangentially on the sprocket or the<br />

pulley can be determined by formula (3.7).<br />

19.110 6 HP 1.9510 6 HP<br />

Kt <br />

<br />

(3.7)<br />

Dpn<br />

Dpn<br />

where,<br />

Kt Tangential load acting on sprocket or pulley N (kgf)<br />

HPTransmission power kW<br />

Dp Pitch circle diameter of sprocket or pulley mm<br />

In the case of belt driving, initial tension is applied to<br />

the belt so the pulley and the belt are both always<br />

pressed down with a proper load.<br />

where<br />

K Actual load acting on shaft N(kgf)<br />

Kc Theoretically calculated value N (kgf)<br />

fw Load factor (Table 3.4)<br />

Table 3.4 Load factor fw<br />

Extent of shock<br />

Nearly no shock 1.01.2<br />

Light shock<br />

Heavy shock<br />

fw<br />

1.21.5<br />

1.53.0<br />

Application<br />

Electrical machines, machine tools,<br />

measuring instruments<br />

Railway vehicles, automobiles,<br />

rolling mills, metal working machines,<br />

paper making machines, rubber mixing<br />

machines, printing machines, aircraft,<br />

textile machines, electrical units,<br />

office equipment<br />

Crushers, agricultural machines,<br />

construction machines, cranes<br />

Dp<br />

F1<br />

F2<br />

Slackening side<br />

Kr<br />

Tension side<br />

Fig. 3.6 Loads acting on chain/ belt<br />

3.2 Load distribution to bearings<br />

Any loads acting on shafts are distributed to the<br />

bearings considering static tension to be supported with<br />

the bearings.<br />

For example, the loads acting on the bearings in the<br />

gear shaft illustrated in Fig. 3.7 can be expressed in<br />

formulas (3.10) and (3.11).<br />

Considering this initial tension, radial load acting on the<br />

pulley is expressed in formula (3.8).<br />

In the case of chain driving, the radial load acting<br />

thereon can be expressed using the same formula, if<br />

vibration and shock are taken into consideration.<br />

Krf bKt (3.8)<br />

where,<br />

KrRadial load acting on sprocket or pulley N (kgf)<br />

f bChain/belt factor (Table 3.3)<br />

Table 3.3 Chain/belt factor f b<br />

Type of chain / belt<br />

Chain (single row type)<br />

Vee-belt<br />

Timing belt<br />

Flat belt (with tension pulley)<br />

Flat belt<br />

f b<br />

1.21.5<br />

1.52.0<br />

1.11.3<br />

2.53.0<br />

3.04.0<br />

b c Dp<br />

FrAKr!Kr@Ka(3.10)<br />

l l 2l<br />

a abc Dp<br />

FrBKr!Kr@Ka<br />

l l 2l<br />

(3.11)<br />

where,<br />

FrA Radial load acting on bearing-A N (kgf)<br />

FrB Radial load acting on bearing-B N (kgf)<br />

Kr1 Radial load acting on gear-! N (kgf)<br />

Ka Axial load acting on gear-! N (kgf)<br />

Kr2 Axial load acting on gear-! N (kgf)<br />

Dp Pitch circle diameter of gear-! mm<br />

l Bearing to bearing distance mm<br />

l<br />

Gear-!<br />

Gear- !<br />

Kr!<br />

Ka<br />

Kr@<br />

Dp<br />

3.1.3 Load factor<br />

In an actual machine, the shaft load is mostly greater<br />

than the theoretically calculated load due to vibration,<br />

shock, etc. The load acting on the shafts of a machine<br />

can be determined by formula (3.9).<br />

K fWKC<br />

(3.9)<br />

FrA<br />

Bearing-A<br />

FrB<br />

Bearing-B<br />

a<br />

b<br />

Fig. 3.7 Gear shaft<br />

c<br />

A-22

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