V-belt drive: length, wrap angle, tensions and shaft load
Transmission ratio, belt speed and length, wrap angle, drive force, belt tensions T1/T2 and resulting shaft load for a V-belt drive, from power, speed, pulley diameters, center distance and groove angle.
Transmission ratio, i = D₁/D₂0.5
Driven sheave speed, n₂1500 rpm
Belt velocity, v = π D₁ n₁15.71 m/s
Belt length, L1.08 m
Smallest wrap angle, α160.81 deg
Drive torque, P/(2π·n₁)4.77 Nm
Drive force, T₁ − T₂ = P/v95.49 N
Effective friction coefficient, μ' = μ/sin(β/2)0.88
Belt tension ratio, T₁/T₂ = exp(μ'α)11.73
Belt tension, T₁104.4 N
Belt tension, T₂8.9 N
Shaft load, F_a112.84 N
Method & references
- V-belt drive: length, wrap angle, capstan-equation belt tensions and resulting shaft load.
The computation is a literal port of the original client-side JavaScript from /calculators/e3_5a.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.