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Safety against derailment: Y/Q limit and wheel unloading ΔQ/Q

The limit of the Y/Q ratio from the flange profile and friction, and the wheel unloading on twisted track from the wheel loads.

RailwayEN 14363DerailmentY/QPaid
Professional calculator. For a real project the numbers must be checked on the specific case: if you need help, request a consultation.
CalculatorThe result updates as you type
Wheel-rail contact
°
Forces on the wheel (optional)
kN
kN
Wheel loads on level track
kN
kN
Twisted track
kN

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Indicative results, provided for preliminary estimation. They do not replace the design and verification of the real case by a qualified professional.

How to use it

Y/Q limit. With the flange angle and the friction coefficient you get the limit ratio according to Nadal. If you also enter the lateral force and the vertical load on the wheel, the calculator gives the utilisation and the margin.

Wheel unloading. From the loads of the two wheels of the axle on level track and the minimum load on twisted track you get ΔQ/Q0, the comparison with the limit and the minimum permitted load.

Formulas used

Nadal criterion (Y/Q) lim = (tan γ − μ) / (1 + μ · tan γ) Mean wheel load Q0 = (Q right + Q left) / 2 Wheel unloading ΔQ/Q0 = (Q0 − Q min) / Q0 Minimum permitted load Q min = Q0 · (1 − limit)

Limits

The calculator deals with the quantities, not with the test. The values of Y and Q come from tests or simulations: the test twist, the curve, the load conditions and the torsional stiffness of the vehicle are defined by the standard and by the method chosen. For setting up the verification and the report there is the service safety against derailment to EN 14363.

FAQ

Why is the Y/Q limit 1.2?

With a 70° flange and friction 0.36 the Nadal formula gives 1.2: it is the reference value for the twisted-track test. With higher friction the limit drops.

What does ΔQ/Q0 measure?

How much the least loaded wheel unloads when the track is twisted, compared with the mean load on level track. The stiffer the vehicle in torsion, the more the wheel unloads.

How is wheel unloading reduced?

By reducing the torsional stiffness of the frame or of the suspension, by increasing the spring deflection or by correcting the load distribution between the wheels.

Technical consulting

From rough calculation to verified design

An online tool answers one question at a time. A project brings a hundred together: real loads, materials, standards, costs and production. If you need help, write to us or call us for a consultation.