Select a 6300series bearing to support the shaft at the righ

Select a 6300-series bearing to support the shaft at the right support for at least 200 million revolutions at 5% failure rate. The inner race rotates relative to the bearing mount.

Solution

6300 Series Bearings are generally a Deep groove Ball Bearings

For given problem

Axial load F= 860 lbf

Radial Load on right bearing R2 = 1102 lbf

Number of revolution N= 200 Million

Reliablity = 95%

For design a ball bearing first is to find out equivalent load on bearing:-

Equivalent load W= X.V.R2 + Y.F

Where V= A roration factor = 1, for all types of bearing when inner race is rotating.

X= Radial load factor = 0.56, from design data book

Y = Axial load factor = 1.2, from design data book

So equivalent load W= 0.56*1*1102 + 1.2*860 = 1649.12 lbf

Dynamic load rating for ball bearing C= W(L₉₀/10⁶)^(1/k)

Where L₉₀ is Life at 90 % reliabilty

k is bearing constant = 3 for ball bearing

L₉₀= L₉₅/0.54 = 200x10⁶/0.54=370.37x10⁶ rev

So C = 1649.12x(370.37x10⁶/10⁶)^1/3 =11843.06 lbf

So we will select 6311 Ball bearing with Standard SAE 52100 material.