Page 341 - Analysis and Design of Machine Elements

Rolling Contact Bearings

Steps Computation Results Units 319
d
F × 200 − F ×
r
a
2. Radial reaction R = 2 =
2v 200 + 300
forces on the pair of 360
bearings 2000 × 200 − 1000 ×
2 N = 440N
500
300 300
R = F = × 4500N = 2700N
1H 200 + 300 t 500
200 200
R 2H = F = × 4500N = 1800N
t
200 + 300 500
√ √
2
2
R = R + R 2 = 1560 + 2700 2
1 1v 1H
= 3118N
√ √
2
2
R = R + R 2 2H = 440 + 1800 2
2
2v
= 1853N
3. Compute the For tapered roller bearings, the magnitude of A = 1114 N
1
axial loads on each induced thrust loads is calculated by N
bearing A = 2114
2
S = R/2Y
The value of Y and e can be found in Table 11.1
as Y = 1.4, e = 0.42.
R 3118
S = 1 = = 1114N
1
2Y 2 × 1.4
R 1853
S = 2 = = 662N
2 2Y 2 × 1.4
Since
S + F > S
1 a 2
Therefore
A = S = 1114N
1
1
A = S + F = 1000N + 1114N
2 1 a
= 2114N
A 1 1114
R = 3118 = 0.36 < e
4. Compute the 1 P = 3118 N
1
equivalent load P A 2 2114
1 = = 1.14 > e
and P R 1853 P = 3701 N
2 2 2
Dynamic radial load factor X and axial load
factor Y can be obtained from Table 11.1.