For anti-friction bearing, relation between basic dynamic capacity, equivalent load and rating life is

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  1. C/P =(L/L10)*1/k
  2. P/C =(L/L10)*1/k
  3. C/P =(L/L10)*k
  4. C/P =(L/L10)*2*k

Answer (Detailed Solution Below)

Option 1 : C/P =(L/L10)*1/k
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Detailed Solution

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Explanation:

Dynamic Load capacity:

  • It is the radial load at which the 90% of the group of apparently identical bearings run for 1 million revolutions before the evidence of the first crack.
  • The fatigue life of bearing at which 90% of a sufficiently large group of identical bearings operating under identical conditions fails is called rated life.

Bearing rated life in million revolutions can be calculated by:

\(\frac{L}{L_{10}} = {\left( {\frac{C}{P}} \right)^k}\)

\((\frac{L}{L_{10}})^\frac{1}{k} = {\frac{C}{P}}\)

where, L = Life of bearing in Million revolution L10 = Rated life in Million revolutions, C = Dynamic load capacity/Basic load rating, P = Equivalent dynamic load

k = 3 for ball bearing, k = \(\frac{10}{3}\) for roller bearing

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