UIC Leaflet 640: Calculating the Pulling Power of Modern Locomotives
UIC Leaflet 640 defines the technical methods for calculating locomotive tractive effort. Master the formulas that determine a train’s pulling power and adhesion limits.

What is UIC Leaflet 640?
UIC Leaflet 640 is the authoritative technical document titled “Technical conditions with which leaf springs for vehicles must comply — Tractive effort.” It provides the standardized mathematical framework for determining the tractive effort of locomotives and power units.
In the railway industry, tractive effort is the force generated by the propulsion system at the wheel-rail interface to move the train. UIC 640 ensures that when a manufacturer specifies a locomotive’s “Pulling Power,” it is calculated using a methodology recognized by infrastructure managers and railway undertakings worldwide. This prevents discrepancies in load planning and ensures operational safety on steep gradients.
Core Technical Definitions
The leaflet distinguishes between several phases of traction, each critical for different operational scenarios:
- Starting Tractive Effort: The maximum force the locomotive can exert at zero speed to overcome static friction and inertia.
- Continuous Tractive Effort: The force that the traction motors can sustain indefinitely without overheating the electrical insulation or mechanical components.
- Adhesion-Limited Tractive Effort: The physical limit of force that can be transmitted based on the friction between the steel wheel and the steel rail.
The Adhesion Factor
A central pillar of UIC 640 is the calculation of the Adhesion Coefficient. Even the most powerful motor is useless if the wheels slip. The leaflet provides empirical formulas to estimate the available friction under various weather conditions (dry, wet, or icy rails). It also accounts for the use of sanding equipment and electronic “creep control” systems that maximize the utilization of adhesion.
Comparison: Tractive Effort Types in UIC 640
| Traction Phase | Limiting Factor | Operational Importance |
|---|---|---|
| Starting | Adhesion / Mechanical Strength | Ability to move a heavy freight train from a standstill. |
| Continuous | Thermal limit of Traction Motors | Maintaining speed on long, sustained gradients. |
| Maximum | Power Converter / Inverter Capacity | Short-term acceleration or peak performance needs. |
| High Speed | Available Power ($P = F \times v$) | Cruising at top speed where aerodynamic drag is high. |
Impact on Timetable and Load Planning
Railway operators use the data derived from UIC 640 to determine “Load Tables.” By knowing the tractive effort curves of a locomotive, a dispatcher can calculate exactly how many tons of freight a single unit can pull across a specific mountain pass. Miscalculating these values according to UIC 640 standards can result in “stalled” trains, which block mainlines and disrupt the entire network.





