Printable machine-design reference · V0.8
Gears & Belts Quick Reference
First-pass ratio and geometry relationships for spur gears and open belt drives.
DIVE-LD reference
Power TransmissionGears & Belts
Spur gears
i = z₂/z₁ = n₁/n₂
d = mz
a = (d₁+d₂)/2
p = πm
dᵦ = d cos α
Open belt
n₁D₁ ≈ n₂D₂
v = πDn/60 with D in metres
L ≈ 2C + π(D₁+D₂)/2 + (D₂−D₁)²/(4C)
Geometry is not rating
- Gear tooth root/contact strength must be rated.
- Belt power capacity depends on belt series and wrap.
- Use pitch geometry from the selected system.
- Check shaft and bearing reaction loads.
Packaging prompts
- Center distance adjustable?
- Tensioning method?
- Guard and service access?
- Backlash/synchronization requirement?