Question

A Ball bearing is anticipated to have a life of 400 million revolutions under an equivalent radial load of 10 kN with a reliabilty of 90%
If the load is 22 kN, the life of the bearing with 90% reliability is

Answer 1

$L_{90}\text{= 400 million,}{P}_e\text{= 10 kN and R = 0.9}$

$\text{If,}{P}_e^{‘}\text{= 22kN then,}{L}_{90}^{‘}\text{= ?}$

$\text{We know that,}{L}_{90}={\left(\frac{C}{P_e}\right)}^3,C\to$

$\text{Dynamic load capacitor}$

$\frac{L^{\prime }}{L}=\left(\frac{P_e}{P_e^{‘}}\right),C=\text{Constant for particular bearing}$

$L^{\prime }=400{\left(\frac{10}{20}\right)}^3=\text{37.56 million revolutions.}$