A catalog lists the basic dynamic load rating for a ball bearing to be 7050 lb for a rated life of 1 million rev. What would be the expected L10 life of the bearing if it were subjected to a load of 3500 lb?

Question

A catalog lists the basic dynamic load rating for a ball bearing to be 7050 lb for a rated life of 1 million rev. What would be the expected [latex]L_{10}[/latex] life of the bearing if it were subjected to a load of 3500 lb?

Accepted Answer

In Equation (14–1), ([latex]\frac{L_{2}}{L_{1}}=\left(\frac{P_{1}}{P_{2}} ight)^{k}[/latex])
[latex]P_1 = C = 7050[/latex] lb (basic dynamic load rating)
[latex]P_2 = P_d = 3500[/latex] lb (design load)
[latex]L_1 = 10^6[/latex] rev ([latex]L_{10}[/latex] life at load [latex]C[/latex])
[latex]k = 3[/latex] (ball bearing)
Then letting the life, [latex]L_2[/latex], be called the design life, [latex]L_d[/latex], at the design load,

[latex]L_{2}=L_{d}=L_{1}\left(\frac{P_{1}}{P_{2}} ight)^{k}=10^{6}\left(\frac{7050}{3500} ight)^{3.00}=8.17 imes 10^{6} \mathrm{rev}[/latex]

This must be interpreted as the [latex]L_{10}[/latex] life at a load of 3500 lb.

Question 14.1: A catalog lists the basic dynamic load rating for a ball bea...

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