Torque Calculator
Calculate torque from force and moment arm, derive shaft torque from motor power and RPM, convert torque to power output, and check torsional shear stress in shafts.
Torque Calculations
T = F × r × sin(θ) — Calculate turning moment from force and lever arm
Distance from pivot point to force application
90° = force perpendicular to arm (maximum torque)
Find Drive Components
Standard Motor Sizes (kW)
IEC standard motor sizes (SANS/IEC 60034)
Torque Calculator: Engineering Guide
Our torque calculator covers four essential engineering calculations: torque from applied force and moment arm, shaft torque from motor power and RPM, power output from known torque, and torsional shear stress in rotating shafts. These are daily calculations for mechanical engineers in manufacturing, mining, and process industries.
Key Calculations
- Torque from force and perpendicular distance
- Shaft torque from motor power and RPM
- Motor power from torque and speed
- Torsional shear stress in solid shafts
- Unit conversions: N·m, kN·m, ft·lb, in·lb
Applications
- Motor and gearbox selection
- Conveyor drive system design
- Coupling and shaft sizing
- Pump and compressor drives
- Crane and hoist systems
- Fastener and bolt tightening
Torque Formulas Reference
Torque from Force
T = F × r × sin(θ)
F = Force (N), r = arm (m), θ = angle
Torque from Power (Metric)
T = (P × 9,550) / N
P in kW, N in RPM → T in N·m
Torque from Power (Imperial)
T = (HP × 5,252) / RPM
HP = horsepower → T in ft·lb
Power from Torque
P = T × N / 9,550
T in N·m, N in RPM → P in kW
Torsional Shear Stress
τ = 16T / (π × D³)
T in N·mm, D in mm → τ in MPa
Unit Conversions
1 N·m = 0.7376 ft·lb 1 ft·lb = 1.356 N·m 1 kgf·m = 9.807 N·m
Metric ↔ Imperial conversion
Shaft Material Shear Strength Guide
| Material | Tensile Strength (MPa) | Shear Yield Strength (MPa) | Notes |
|---|---|---|---|
| Mild steel (EN3B) | 430–570 | 120–160 | General shafting |
| Medium carbon (EN8) | 700–850 | 200–250 | Good strength shafts |
| Alloy steel (EN19) | 850–1,000 | 250–300 | High-duty shafts |
| Stainless 304 | 520 | 100–130 | Corrosion resistant |
| Aluminium 6061-T6 | 310 | 80–100 | Light weight |
| Cast iron | 200 | 80–120 | Brittle — avoid torsion |
