Train Air Brake Reduction and Cylinder Pressure
A freight brake pipe is charged to a regulated pressure, commonly 90 psi, and the brakes apply when that pressure DROPS.
Example
You enter
- Brake pipe charged pressure (psi) 90
- Service reduction made (psi) 30
- Cylinder pressure per psi of reduction 2.5
- Full-service reduction point (psi) 26
- Cars in the train (0 to skip propagation) 100
- Propagation rate (cars per second) 10
You get
- Brake pipe (psi) 60
- Brake cylinder 65.0 psi
- Remaining reduction (psi) 0
- Full service cylinder (psi) 65
- Wasted reduction (psi) 4
- Propagation seconds 10
Details, formula, and sources
The multiplication is roughly two and a half: a ten pound brake pipe reduction produces about twenty five pounds in the brake cylinders. That continues until the auxiliary reservoir and the brake cylinder equalize, which happens at around a twenty six pound reduction, and BEYOND THAT POINT ADDITIONAL REDUCTION PRODUCES NO ADDITIONAL BRAKING. An engineer who keeps reducing past full service has spent the air and gained nothing, which is the situation that precedes losing a train on a grade -- so the wasted reduction is reported here as its own number rather than left to be inferred. THE PART THAT HAS NO FORMULA MATTERS MOST, AND IT IS RECHARGE TIME. Releasing the brakes requires pumping the brake pipe back up from the head end, and on a long train that takes minutes -- during which the rear of the train may still be applying while the head end is already releasing. That is why cycle braking on a descending grade is dangerous and why dynamic brake, not air, is the primary means of controlling a train downhill. Nothing here estimates recharge; it reports the approximate cylinder pressure and the full service point so the remaining air is visible as a quantity rather than as a feeling. Propagation is the same effect on the way in. A reduction takes time to travel to the rear, so the head end is braking before the tail is, which is what produces slack run-in, and the same delay on release means the rear is still applied while the head end pulls. The propagation estimate here is a rate the reader enters against the car count, not a model of the brake pipe. AN APPROXIMATION OF A SYSTEM WITH MANY VARIABLES. The cylinder ratio depends on the brake equipment, the piston travel, the cylinder and reservoir volumes, and the brake rigging ratio, and it differs between car types and between empty and loaded cars on an empty-load device. This does not model emergency applications, which vent the pipe rapidly and reach a higher cylinder pressure than full service, retainers, hand brakes, dynamic brake, or the interaction between them. It does not calculate stopping distance, which depends on tonnage, grade, speed, brake shoe condition, wheel condition, and the percentage of operative brakes, and it is not a substitute for the air brake test. It says nothing about a train's ability to hold or stop on any particular grade. The railroad's air brake and train handling rules, the equipment manufacturer's data, and 49 CFR 232 govern.
brake pipe = charged pressure - reduction; brake cylinder = the reduction, capped at the full-service point, times an entered cylinder ratio of about 2.5; anything beyond the full-service reduction is wasted air with no additional braking.
The freight air brake service relations by name. The cylinder ratio depends on the brake equipment, piston travel, cylinder and reservoir volumes and rigging ratio, and differs between car types and between empty and loaded cars, so it is ENTERED. Emergency applications, retainers, hand brakes, dynamic brake, recharge time and stopping distance are all outside it. The railroad's air brake and train handling rules, the equipment manufacturer's data, and 49 CFR 232 govern.
One multiplication and one cap; no brake equipment data or railroad rule book is reproduced.
Estimate. AHJ and licensed professional govern.
Field names used by the API: charged_pressure_psi, reduction_psi, cylinder_ratio, full_service_reduction_psi, car_count, propagation_rate_cars_per_second, brake_pipe_psi, cylinder_psi, remaining_reduction_psi, full_service_cylinder_psi, wasted_reduction_psi, propagation_seconds
- The cylinder ratio is entered it differs by brake equipment, piston travel and empty-load devicethe equipment manufacturer's data
- No emergency, retainers, or dynamic brake and no recharge time, which is the part that matters mostthe railroad's air brake rules
- No stopping distance that needs tonnage, grade, speed, shoe and wheel condition and the percent of operative brakes49 CFR 232 and the railroad's rules