Spur Gear Calculations And Formulas 176642

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Spur Gear Calculations And Formulas

Spur Gear Calculations This is a chart of formulas used in calculating spur gear information based on standard gearing practices. The spur gear formulas here are based on the "Diametral Pitch system (DP). These formulas can be used with Circular Pitch and Module systems by first converting them to the Diametral Pitch (Click here for a calculator) To convert a circular pitch () to DP To convert the module (Mod) to DP To Get Diametral Pitch Diametral Pitch

Divide 3.1416 by the circular pitch Divide the 25.4 by the module

Having The circular pitch Pitch diameter Number of teeth Outside diameter

Diametral Pitch

Number of teeth Base pitch

Diametral Pitch

Pressure angle Number of teeth

Pitch Diameter

Diametral pitch Number of teeth

Pitch Diameter

Outside diameter Outside diameter

Pitch Diameter

Diametral pitch Addendum

Pitch Diameter

Number of teeth Base diameter

Pitch Diameter

Pressure angle Number of teeth

Outside Diameter

Diametral pitch Pitch diameter

Outside Diameter

Number of teeth Number of teeth

Outside Diameter

Addendum Pitch diameter

Number Of Teeth

Diametral pitch Outside diameter

Number Of Teeth Thickness Of Tooth Addendum

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Divide number of teeth + 2 by the outside diameter Divide the base pitch by the cosine of the pressure angle then divide by 3.1416 Divide the number of teeth by the diametral pitch Divide the product of the outside diameter + number of teeth by the number of teeth + 2 Subtract 2 divided by the diametral pitch from the outside diameter Multiply addendum by the number of teeth Divide the base diameter by the cosine of the pressure angle

Diametral pitch

Pd = N / D

Pd = (N+2) / OD

Pd = (BP / Cos PA) / 3.1416

D = N / Pd

D = (OD x N) / (N+2)

D = OD - (2/ Pd)

D = A xN

D = BD / (Cos Pa)

OD = (N+2) / Pd Two divided by the diametral pitch plus pitch diameter Number of teeth + 2, divided by the quotient of number of teeth divided by the pitch diameter Multiply the number of teeth + 2 by the addendum Multiply the pitch diameter by the diametral pitch Multiply the outside diameter by the diametral pitch and subtract 2

Diametral pitch

Divide 1.5708 by the diametral pitch Divide 1 by the diametral pitch

Diametral pitch

Divide 1.157 (or 1.25) by the

Diametral pitch

Formula Pd = 3.1416 /

Divide number of teeth + 2 by the diametral pitch

Diametral pitch Pitch diameter

Outside Diameter

Rule Divide 3.1416 by the circular pitch Divide the number of teeth by the pitch diameter

OD = (2 / Pd) + D

OD = (N+2) / (N / D)

OD = (N + 2) x A

N = D x Pd

N = (OD x Pd) - 2 t = 1.5708 / Pd a = 1 / Pd

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Spur Gear Calculations And Formulas Diametral pitch

Dedendum

Diametral pitch

Working Depth

Diametral pitch

Whole Depth

Diametral pitch

Clearance

Diametral pitch

Clearance

C.D. between both gears Operating Diametral Pitch

Number of teeth in each Normal diametral pitch

Center Distance

Number of teeth in both gears Operating diametral pitch

Operating Center Distance

Number of teeth in both gears Pitch diameter

Base Diameter

Pressure angle Base diameter

Pressure Angle

Divide 1.157 (or 1.25) by the diametral pitch Divide 2 by the diametral pitch

b = 1.157 / Pd

Divide 2.157 (or 2.25) by the diametral pitch Divide .157 (or .250) by the diametral pitch Divide thickness of tooth at the pitchline by 10 Add the number of teeth in both gears and divide by 2 then divide by the center distance

ht = 2.157 / Pd

Add the number of teeth in both gears and divide by 2 then divide by the normal diametral pitch Add the number of teeth in both gears and divide by 2 then divide by the operating diametral pitch

Multiply the pitch diameter by the cosine of the pressure angle Divide the base diameter by the pitch diameter

hk = 2 / Pd

c = .157 / Pd c = t / 10

PdO = ((n1 + n2)/2) / C

C = ((n1 + n2)/2) / Pnd

Co = ((n1 + n2)/2) / Pod

Db = PD x (cos PA)

cosPA = Db / D

Pitch diameter Base pitch Pressure Angle

Diametral pitch Diametral pitch

Base Pitch

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Pressure angle

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Divide Pi by the diametral pitch, then divide by the base pitch

Divide the diametral pitch by Pi, then multiply by the cosine of the pressure angle

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cosPA = (3.1416 / Pd) / Pb

Pb = (Pd / 3.1416) x (cos PA)

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