Van Doorne's metal push-belt (CVT) drive

Transmission ratio, belt speed/length, wrap angle, drive torque and force, belt-strand tensions and resulting shaft load for a metal V-belt (Van Doorne push-belt / CVT) drive between two pulleys.

✓ validated against legacyoriginal: /calculators/e3_5.htm
Van Doorne's metal push-belt (CVT) drive — original diagram from /calculators/e3_5.htm
Transmission ratio, i = d₁/d₂0.5
Driven pulley speed, n₂1500 rpm
Belt speed, v15.707963267948966 m/s
Belt length, L1.0795722313718024 m
Smallest wrap angle, α₁160.81186354627908 deg
Drive torque, M4.77464829275686 Nm
Drive force, F_t95.4929658551372 N
Effective friction coefficient, μ_e0.8771413200489262
Belt tension ratio, T₁/T₂11.726713785582472
Belt tension, T₁104.39531635725342 N
Belt tension, T₂8.902350502116228 N
Resulting shaft load, F_a112.84103279737226 N

Method & references

  • Van Doorne metal push-belt (CVT) drive: transmission ratio, belt tensions and resulting shaft load (capstan/Eytelwein belt-friction relation with a groove-angle-corrected effective friction coefficient).

The computation is a literal port of the original client-side JavaScript from /calculators/e3_5.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Van Doorne's metal push-belt (CVT) drive — Engineering ABC