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How to calculate centre distance of spur gears?

How to calculate centre distance of spur gears?

How to calculate centre distance of spur gears?

(OP)
Hi everybody,

I have the following gear application:

1)Pinion data
Module = 3.5
Z1=14
Pressure angle = 20°
x1(Addendum correction factor)= 0.228
Diametral pitch = 49 mm

2)Gearwheel data
Module = 3.5
Z2=286
Pressure angle = 20°
x2(Addendum correction factor)= 0
Diametral pitch = 1001 mm

I need to calculate the distance between axis to complete my project. Can Somebody give me the formulas to do it (or bibliography to search)?

Thank you in advance,

Carlos

RE: How to calculate centre distance of spur gears?

The formulas will be like these (if your geat set are outer mesh)

use the following formula to find out operating pressure angle first,
inv(PA')=inv(PA)+2*tan(PA)*(x2+x1)/(z2+z1)
inv(PA)=tan(PA)-PA
PA in radians. you must find out PA' by iterative caculation.
then use the next formula to find out the center distance
a'=(m*(z2+z1)/2)*cos(PA)/cos(PA')

RE: How to calculate centre distance of spur gears?

A rough estimate for your system
would be 1/2 the pitch diameters
plus .228 x 3.5
i.e. (pd1 + pd2)/2 plus xm x module.

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