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Braking calculation for a railway vehicle: stopping distance and parking

From the force on the blocks to deceleration and stopping distance, with the adhesion check and the holding capacity of the parking brake on a gradient.

RailwayBrakingStopping distanceParking brakePaid
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
Vehicle and line
t
km/h
‰
Service brake
kN
1 for blocks on the wheel tread
s
Parking brake (optional)
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

Enter mass, initial speed and gradient, then the force on each block or pad, their number and the friction coefficient. You get the braking force at the wheels, the deceleration, the stopping distance and time, the adhesion used and the energy to be dissipated. With the parking brake data you also get the maximum gradient held.

Formulas used

Braking force Fb = n · Fk · μ · (friction r / wheel r) Deceleration a = (Fb − M · g · i / 1000) / (M · ρ) Stopping distance s = v · t0 + v² / (2 · a) Adhesion used τ = Fb / (M · g) Energy E = ½ · M · ρ · v² Parking Fst = n · Fs · μs ≥ M · g · i / 1000

Limits

The calculation uses a constant mean friction and a braking force that builds up after the response time. It does not derive the block force from the brake rigging and cylinder, nor the braked weight and the braked weight percentage, which are determined with the method of the applicable standard and by tests.

FAQ

Why is the adhesion used checked?

If the braking force exceeds what the wheel can transmit to the rail, the wheel locks and develops flats. For block brakes one normally stays below 0.15.

What friction should be used for the blocks?

It depends on the material: cast iron blocks have a friction that rises sharply at low speeds, composite ones are more constant. For a first calculation a mean value between 0.15 and 0.25 is used.

Technical consulting

From rough calculation to verified design

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