snail wrote:you said...
> The only thing important for TE is "axle weight" (poids adhérent)
so now I'm kind of confused... what did you mean exactly?
Ah, sorry, I meant "adhesive weight" (poids adhérent), o/c.
Well, for a steam engine,
-
Power output is determined by the size of the fire, which, for a coal-fuelled locomotive, is determined by the grate area. Hence, high power needs a large grate area and a longer boiler, i.e. results into a larger (longer) and heavier locomotive.
-
Tractive effort (
TE) (or "tractive force") is in principal determined by boiler pressure, cylinder proportions, and size of driving wheels:
TE = D² * S * const *
p / d
with
D = cylinder diameter,
S = piston stroke,
p = boiler pressure, and
d = driving wheel diameter. ("const" being a heuristic constant in the range 0.75 ... 0.85, depending on speed.)
- Because of the nature of the limited friction (
µ) between wheel and rail,
TE is limited by the weight on the driving wheels ("adhesive weight",
Wadh), i.e. non-driven and slipping driving wheels cannot transmit force. In addition, friction depends heavily on the condition of the rails: clean, dry or sanded rails increase friction, but grease, ice, mud, leaves, etc. will all cause the locomotive to slip before nominal
TE is reached. Thus, to transmit
TE as best as possible, the quotient
Wadh / Wtot should be as large as possible, which would be best achieved by a locomotive having only driving axles (0-x-0 scheme,
Wadh / Wtot = 1).
- Max permissable axle load is determined by condition and type of track. In this way, the number of driving axles is limiting the adhesive weight and therefore the achievable
TE.
- Power equals to
TE * speed and is limited by the locomotives´ boiler steaming capacity. I.e., because the product
TE * speed is constant,
TE drops off proportionally as speed increases.
-
Speed is determined mainly by driving wheel diameter. Higher speed requires larger driving wheels because piston speed increases with driving wheels RPM, and at high piston speeds, valves cannot deliver steam efficiently anymore. OTOH, large (and many) driving wheels result into a long driving wheel base, limiting the ability of the locomotive to take curves. This has been a main concern in steam locomotive design and resulted into a vast amount of technical solutions, featuring articulated designs, lateral motion devices, or the use of blind drivers.
Basically, in the game the 151TQ should behave like a great hill climber (because of the high TE), but with a crippled max speed when pulling heavy trains (because of the low power).
In this context, freight locomotives emphasised tractive effort, whereas passenger locomotives emphasised speed. In consequence, freight locomotives used multiplied axles, kept leading bogies to a single axle (if any), and grew a trailing bogie only as the firebox expanded. OTOH, passenger locomotives usually had two axle leading bogies for better guidance at higher speed, fewer driving axles but very large driving wheels in order to limit the speed at which the reciprocating parts had to move.
HTH
regards
Michael