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Helical Gears Shafts Right Angles Approximate Design Equations and Calculator

Machine Design and Engineering
Mechanical Gear Design and Engineering

Helical Gears Shafts at Right Angles Design Equations and Calculator

Sum of helix angles of gear and pinion must equal 90 degrees.

Related:

Helical Gears Shafts Parallel Center Distance Exact Design Equations and Calculator
Helical Gears Shafts Parallel Center Distance Approximate Design Equations and Calculator

 

Preview Helical Gears Shafts at Right Angles Design Calculator

Number of teeth in pinion for any angle:

n = ( 2 C_a P_n cos α cos β ) / ( R cos β + cos α )

Number of teeth in gear formula:

N = n R

Pitch diameter of gear formula:

D = N / ( P_n cos α )

Pitch diameter of pinion formula:

d = n / ( P_n cos α )

Number of formed cutter (gear) Formula:

T = N / ( P_n cos³ α )

Number of formed cutter (pinion) Formula:

T = n / ( P_n cos³ α )

Lead of helix of gear formula:

L = π D cot α

Lead of helix of pinion formula:

l = π d cot β 

Where:

C = approximate center distance (in, mm),
P_n  = normal diametral pitch (in, mm),
N = number of teeth in large gear,
n = number of teeth in small gear,
α = angle of gear helix (deg),
β = angle of pinion helix (deg),
R = ratio of gear to pinion,
L = lead of helix on large gear (in, mm),
l = lead of helix on pinion (in, mm).

References:

Machinerys Handbook, 29th Edition