Calculating flats on a shaft 1

[Reifleman2]

I have a shaft that has had 4 flats cut into it. I want to know the flat width, but do not have access to the shaft. I know there must be a way to do this calculation, but I cannot think of it.

Here is the data I have:
- Shaft D: 3.199", giving an OD of 10.04486"
- Flat depth: .021
- Total of 4 flats.

Is there a way to extrapolate the flat width?

Thanks.

 

[Reifleman2]

Update:

Never mind, I apologize. Pythagorean Theroem. Ive been out of school too long I suppose.

 

[hydtools]

R = shaft radius = diameter/2
width of the flat = 2 x sqrt{(R^2 - (R-.021)^2}

Ted

 

[Reifleman2]

Fantastic, thanks for the shortcut.