Free Engineering Tool #081

Flexible Coupling Calculator

Calculate the required torque rating, torsional stiffness, and natural frequency for flexible couplings per DIN 740. Select coupling type and enter operating conditions.

DIN 740 Coupling Selection Torsional Analysis
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Results

Required Coupling Torque Rating
Nominal Torque (Tn)
Torsional Stiffness (Ct)
Natural Frequency (fn)
Operating Frequency
Frequency Ratio (fn/fop)

Nominal Torque

The nominal torque transmitted by the coupling is derived from power and speed:

  • P — transmitted power (kW)
  • n — rotational speed (RPM)
  • Tn — nominal torque (N·m)

Required Torque Rating

Per DIN 740, the coupling must be rated for the design torque including the service factor:

Where KA is the application/service factor accounting for dynamic loads.

Torsional Natural Frequency

For a two-inertia system connected by the coupling:

  • Ct — dynamic torsional stiffness of coupling (N·m/rad)
  • J1, J2 — mass moments of inertia (kg·m²)

Service Factor Guide

KALoad CharacterTypical Applications
1.0UniformFans, centrifugal pumps, light conveyors
1.25Light shocksBelt conveyors, generators, centrifugal blowers
1.5Moderate shocksReciprocating compressors, positive displacement pumps
1.75Heavy shocksMixers, ball mills, rubber extruders
2.0–3.0Extreme/ReversingCrushers, presses, shears, rolling mills

⚠️ Note: The natural frequency should be at least 20% away from the operating frequency and its harmonics to avoid torsional resonance. DIN 740-2 recommends fn/fop > 1.2 or fn/fop < 0.8.

Example — 15 kW Compressor Drive

Given: P = 15 kW, n = 1500 RPM, KA = 1.5

Tn = 9549 × 15 / 1500 = 95.5 N·m

Treq = 1.5 × 95.5 = 143.2 N·m

Select a coupling with Tmax ≥ 143.2 N·m

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