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Modified Stock Gearing - Boston Gear

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Engineering Information<br />

Roller Chain Formulas<br />

Horsepower<br />

Horsepower equals 33,000 foot-pounds per minute, or<br />

550 foot-pounds per second. In terms of chain working<br />

load or pull (P) and speed:<br />

Sprocket Speed<br />

12 x RPM<br />

RPM =<br />

Number of Teeth x Pitch<br />

P x S<br />

HP =<br />

33,000<br />

RPM of Driven Sprocket =<br />

Driver Teeth x Driver RPM<br />

Driven Teeth<br />

HP =<br />

P x Number of Teeth x Pitch x RPM<br />

396,000<br />

RPM of Driver Sprocket =<br />

Driven Teeth x Driven RPM<br />

Driver Teeth<br />

HP =<br />

HP =<br />

Torque (lb.-in.) x RPM<br />

63,025<br />

Torque (lb.-in.) x RPM<br />

5,252<br />

Centrifugal Pull or Tension<br />

Pull or tension caused by chain weight and velocity:<br />

Chain Weight per Foot x (FPM)<br />

Centrifugal Pull =<br />

2<br />

115,900<br />

G<br />

Ratio<br />

Teeth in Large Sprocket<br />

Ratio = or<br />

Teeth in Small Sprocket<br />

Fast RPM<br />

Slow RPM<br />

Total Chain Tension<br />

Total Chain Tension = Working Load + Centrifugal Pull<br />

Chain Working Load<br />

When horsepower input is known, calculate for chain<br />

working load or pull (P):<br />

Chain Bearing Pressure<br />

Bearing Pressure<br />

Working Load<br />

(pounds per square inch) =<br />

Bushing Length x Pin Dia.<br />

P =<br />

HP x 33,000<br />

FPM<br />

Torque<br />

Torque =Sprocket Pitch Radius x Working Load<br />

P =<br />

HP x 396,000<br />

Number of Teeth x Pitch x RPM<br />

Torque (lb.-in.) =<br />

HP x 63,025<br />

RPM<br />

Torque<br />

P =<br />

Sprocket Pitch Radius<br />

Torque (lb.-ft.) =<br />

HP x 5,252<br />

RPM<br />

Chain Speed<br />

Speed (FPM) =<br />

Pitch x Number of Teeth x RPM<br />

12<br />

Factory of Safety<br />

Chain Ultimate Strength<br />

FS=<br />

Chain Working Load<br />

P-1930-BG 04/10 <strong>Boston</strong> <strong>Gear</strong> 800-825-6544 249

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