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Can someone help me with Hertzian contact analysis (How to find Curvature Sum)

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knight92

Mechanical
May 3, 2014
9
Here are the equations:

1/Rx = 1/rax + 1/rbx

1/Ry = 1/ray + 1/rby

1/R = 1/Rx + 1/Ry

I don't understand what the radius x and y values are how to tell whats what, the question I have been given is this:

The ball-outer race contact of a deep groove ball bearing has 10mm ball diameter, a 5.5 mm outer race concave groove radius and a 45 mm radius from the bearing axis to the bottom of the groove. The load on the ball is 500 N and the race and the ball are made of steel (E=206 GPa, v = 0.30). Apply Hertzian Contact Analysis to determine.

(a) - Curvature Sum (Include diagrams to define contact geometry).

From this I reckon it is talking about a rolling element bearing?

I know how to do the rest of the questions but I really don't understand how to find the curvature sum. I have searched on google and youtube but all I find is reports and simulations, none of which actually explain anything.

Thank you.
 
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