For instance, let's say a locomotive has 1750 horsepower,
63,500 pound of tractive effort at 25 per cent adhesion.
Is there a formula for deriving the drawbar pull?
The adhesion figure can only be derived from experience. Typical
maximum adhesion on wet rail was 15% until computer controlled
wheel slip systems can in to existance. Dry rail 25% was a common
number and with the wheel slip systems it can be close to 40%.
Adhession essentially puts a cap on maximum tractive effort. For
example an RS-3 typically weighs 240,000lbs and has a maximum
tractive effort of 50,000lbs. So 25% of 240,000 yields 60,000 thus
adhesion should not be a factor. 15% and we get 36,000lbs thus
with wet rail adhesion is what sets maximum tractive effort.
Draw bar pull should be the same as tractive effort.
Chris
>1. Tractive effort is the calculated (theoretical) force exerted by a
>loco (steam or diesel) at the rim of its driving wheels.
TE is the *actual* force exerted. There's nothing theoretical about it.
>2. Drawbar pull is the force exerted by a loco at the drawbar. This
>is what pays the bills on the railroad. There is an approximate
>relation between tractive effort and drawbar pull. Drawbar pull is
>equal to the tractive effort less the mechanical, windage, and other
^^^^^^^^^^
>losses associated with the motion of the locomotive.
In a diesel locomotive (where all the wheels are powered), mechanical
friction takes its toll *before* TE is measured, at the wheel-rail
interface. In other words, increasing mechanical friction (with
increasing speed) will decrease *both* tractive effort and drawbar pull.
Hence, we do not subtract any mechanical losses from TE to find drawbar
pull. (think about where the power is dissipated).
In a steamer, there's extra axles that aren't powered so it does take some
power to overcome mechanical friction, and you have to include the effect.
>3. The factor of adhesion is simply the weight which is supported by
>the driving wheels divided by the tractive force. Steam locos were
>generally designed (there were some exceptions to this) so that the
>factor of adhesion was at least 4.0.
Right. A figure that is easier to grasp is the inverse of what you
mention, or the tractive force divided by the weight on drivers. That
gives you a number that can be compared with the coefficient of friction--
to some, this will make much more sense.
Regards, | This package contains 42 scoopfuls when
Clem Tillier | measured by weight. The precise number of
Stanford, California, USA | scoopfuls will vary somewhat with the method
ctil...@leland.stanford.edu | of scooping and the settling during shipment.
2. Drawbar pull is the force exerted by a loco at the drawbar. This
is what pays the bills on the railroad. There is an approximate
relation between tractive effort and drawbar pull. Drawbar pull is
equal to the tractive effort less the mechanical, windage, and other
losses associated with the motion of the locomotive. These are speed
dependent and they increase with speed. There are some formulas for
calculating this and they employ variables such as friction or roller
bearings, streamlining, weight of loco/tender, number of axles, etc.
3. The factor of adhesion is simply the weight which is supported by
the driving wheels divided by the tractive force. Steam locos were
generally designed (there were some exceptions to this) so that the
factor of adhesion was at least 4.0. Diesels due to the smoother
application of power can live with factors of adhesion less than 4.0.
This is especially true with the new AC diesels.
4. Horsepower comes into play when the speed at which a given tractive
effort or drawbar pull is considered. Two locomotives might have the
same tractive effort at starting or low speeds, but the locomotive with
the higher horsepower will have the greater tractive effort or drawbar
pull at higher speeds. In steam days this was the difference between a
2-8-2 and a 4-8-4 with the same tractive effort. Both could start the
same size train, but the 4-8-4 could move it a lot faster!
I hope this helps.
Neil Carlson
Santa Cruz
Yes, that is another effect; not what I was talking about.
>At a given speed the TE and the
>drawbar pull would differ by the mechanical losses.
Please give me a physical explanation of how this works in a locomotive
where all the wheels are powered. I claim (see my earlier post) that
drawbar pull equals TE minus aero forces. Mechanical losses in the
drivetrain (such as bearing friction) ARE NOT to be included in the
calculation between TE and drawbar pull. (the power is dissipated
*upstream* of where TE is defined, i.e. at the wheel rim; I can explain
this in more detail if needed.)
I know very little about AAR formulae; I'm just using physical intuition.
If I'm wrong, point out to me where I made a bad assumption.
All that aside, I've always felt that a good railroad sim should start with the
best set of dynamic train and motive power models that it is possible to code.
My attitude is to go models and operations first, zooty graphics last in the
computing resources allocation. You can always wait for the platforms to
catch up. But, that's probably a seperate thread discussion.
|> There are AAR formulas for the calculation of TE, and these assume no
|> mechanical losses. For steam the calculation variables include "mean
|> effective" cylinder pressure, cylinder diameter and stroke, and driving
|> wheel diameter. For a diesel the variables are traction motor torque,
|> gear ratio, and driving wheel diameter.
Do you have these formulas? I'd be very interested in them.
Dave Nelson
___________________________________________________________
Hewlett Packard email: da...@pa.itc.hp.com
ICBD fax: (415) 852-8312
1501 Page Mill Rd. phone: (415) 857-2902
Palo Alto CA. 94304
___________________________________________________________
> What is the relationship between a locomotives' tractive effort
> and its' drawbar pull. And, how are adhesion figures derived?
I always thought the unit of measure of "drawbar pull" was horsepower
(as measured by a dynamometer car) versus "tractive effort" measured
in pounds. I don't have any figures for converting one to the other,
I'm not sure if such exists.
BUT I do think the TE is the most useful value, since train resistance
also is measured in pounds per ton. This was used by railroads such as
the SP to establish "tons per engine" back in steam days, over each and
every section of line. I think MM published a table awhile back for SP
F, AC, and diesel ratings from Dunsmuir to Klamath Falls ...
And here's some miscellaneous Resistance/TE stuff
----------------------------------------------------------------------
On a grade, gravity acts on each ton of train weight with a force of
20 lbs for each per cent grade as shown below
Percent Grade Downgrade Force of Gravity
1% 20 lb per ton (Sherman Hill)
2% 40 lb per ton (Horseshoe Curve)
3% 60 lb per ton (Raton Pass)
4% 80 lb per ton
5% 100 lb per ton (Saluda Mt)
The brake retarding force required to balance the downgrade gravitational
force is the force of gravity less the car or train resistance. The
heavier the car, the more brake retarding force is needed.
Train rolling resistance is generally taken from tables and curves based
on formulae. The most widely used of such formulae is the Davis Formula.
Rolling resistance is generally expressed in pounds per ton
R = 1.3 + (29/W) + 0.045*V + ( 0.0005*A*(V**2)/W*n )
where R = resistance in lb/ton on level tangent track
W = weight per axle in tons
n = number of axles per car
A = cross section of car in square feet
V = speed in miles per hour
Imagine a 100 car coal train on level track, approx 13,100 tons.
W = 32.5
n = 4
A = 100 (approx)
Values of R for various speeds V (SD40-2 tractive effort)
10 mph 2.68 pounds per ton approx 100,000 lbs
30 mph 3.88 pounds per ton
50 mph 5.39 pounds per ton
70 mph 7.21 pounds per ton approx 10,000 lbs
Thus a single SD40-2 can theoretically get a roll on a 20,000+ ton train
by itself (ignoring possible broken knuckles), but at 70 mph that same
engine can only pull 1,388 tons or less than 11 loaded cars!
Or looked at another way, you can see that 80-90 miles per hour induces
the same amount of resistance as a 1 percent grade!
-----------------------------------------------------------------------
By the way, for modern equipment, there is an Adjusted Davis Value ...
R(adj) = k * R(davis)
k = 1.00 for pre-1950 freight cars
= 0.85 for conventional post-1950 freight cars
= 0.95 for COFC
= 1.05 for TOFC
= 1.20 for empty, covered autoracks
= 1.30 for loaded autoracks
= 1.90 for empty, open autoracks
----------------------------------------------------------------------
And from General Electric, we have
Tractive Effort TE = (( hpe-hpa ) * 375 * e ) / V
where hpe = engine shaft horsepower
hpa = horsepower to auxiliaries
e = efficiency, often taken as 0.82
V = speed
(Note this formula ignores number of axles! Also, it's probably outdated
due to fancy new wheelslip systems that increase low speed adhesion.)
So in diesels, TE is inversely proportional to speed. True also in steam
engines, EXCEPT that horsepower in steam engines is NOT a constant. For
example, a Southern Pacific GS-4 4-8-4 produced around 5,000 horsepower
at 50 mph, but much less than that at 20 or 80 mph.
Bob
Correction: This wasn't "a" train. He took dozens of engines.
The most extensive article on this that I know of is in the
November-December 1991 CIVIL WAR magazine. (The Magazine of the Civil War
Society, Vol. 9, No. 6) It is a five page article. The whole issue is
devoted to railroad matters, and is worth obtaining if you can find a
copy. The telephone number shown in the magazine is (800)247-6253. The
address was P.O. Box 770, Beryville, Virginia 22611.
This action was one of the most massive, audacious, and brilliant train
robberies ever by anybody. No one ever said that Stonewall Jackson was
not audacious or brilliant. This event really proves why.
There is also some information on this on page 46 of
MR. LINCOLN'S MILITARY RAILROADS by Roy Meredith and Arthur Meredith.
Published by W.W. Norton in 1979.
Robert G. Hilton
wp...@aol.com
The force which can be measured is drawbar pull through use of a
dynamometer car. However, this measurement includes all of the
locomotive's mechanical losses as earlier described -- and it makes no
difference whether we are talking steam or diesel; they are still
there. However, they are greater for steam than for diesels.
There are AAR formulas for the calculation of TE, and these assume no
mechanical losses. For steam the calculation variables include "mean
effective" cylinder pressure, cylinder diameter and stroke, and driving
wheel diameter. For a diesel the variables are traction motor torque,
gear ratio, and driving wheel diameter.
>>2. Drawbar pull is the force exerted by a loco at the drawbar. This
>>is what pays the bills on the railroad. There is an approximate
>>relation between tractive effort and drawbar pull. Drawbar pull is
>>equal to the tractive effort less the mechanical, windage, and other
> ^^^^^^^^^^
>>losses associated with the motion of the locomotive.
>
>In a diesel locomotive (where all the wheels are powered), mechanical
>friction takes its toll *before* TE is measured, at the wheel-rail
>interface. In other words, increasing mechanical friction (with
>increasing speed) will decrease *both* tractive effort and drawbar
pull.
>Hence, we do not subtract any mechanical losses from TE to find
drawbar
>pull. (think about where the power is dissipated).
>
>In a steamer, there's extra axles that aren't powered so it does take
some
>power to overcome mechanical friction, and you have to include the
effect.
My earlier comments also apply here. Plus, I want to add that the
chief reason why TE and drawbar pull decrease with speed is due to the
fact that locomotive horsepower is limited to some maximum value.
Given this, as speed picks up, both the TE (calculated) and the drawbar
pull (measured) decrease accordingly. At a given speed the TE and the
drawbar pull would differ by the mechanical losses. You could estimate
(calculate) the TE by measuring the drawbar pull and then adding back
estimates for the appropriate mechanical losses at any given speed.
About the only time TE and drawbar pull are about the same is at
starting as there are few mechanical losses.
Neil Carlson
Santa Cruz
>Does anyone know any resources for information on Stonewall Jacksons
>train robbery where he pulled a train overland from Martinsburg to
>Strausburg, Va IN 1861. Please reply your help will be appreciated.
>
>Bob
Track down this book:
CALL NUMBER: E491 T95
Author: Turner, George Edgar.
Title: Victory rode the rails; the strategic place of the railroads
in the Civil War. Maps by George Richard Turner.
Edition: [1st ed.]
Imprint: Indianapolis, Bobbs-Merrill [1953]
Description: 419 p. illus., ports., maps. 25 cm.
Note: Bibliographical references included in "Notes" (p.
[377]-404)
Subject: Railroads -- United States -- History.
Subject: Railroads -- Confederate States of America.
Subject: United States -- History -- Civil War, 1861-1865 --
While it covers a number of situations and incidents involving railroads
during the War of Northern Aggression, it has a good bit of information
about how Jackson held the B&O captive at Harper's Ferry, then hauled off
what rolling stock he could get.
Bruce in Blacksburg, Virginia
--
Bruce B. Harper bha...@vt.edu
Distributed Information Systems (703)231-4360
Virginia Tech Computing Center
1700 Pratt Drive Region Director,
Blacksburg, Virginia 24060 New River Valley DPMA
I forgot to mention in my first reply that this robbery was not the end of
Stonewall Jackson's railroad career. He gave Mr. Pope an unpleasant
surprise at the Second Battle of Manassas from behind an unfinished
railroad grade.
>>At a given speed the TE and the
>>drawbar pull would differ by the mechanical losses.
>
>Please give me a physical explanation of how this works in a
locomotive
>where all the wheels are powered. I claim (see my earlier post) that
>drawbar pull equals TE minus aero forces. Mechanical losses in the
>drivetrain (such as bearing friction) ARE NOT to be included in the
>calculation between TE and drawbar pull. (the power is dissipated
>*upstream* of where TE is defined, i.e. at the wheel rim; I can
explain
>this in more detail if needed.)
>
>I know very little about AAR formulae; I'm just using physical
intuition.
>If I'm wrong, point out to me where I made a bad assumption.
>
>Regards,
>Clem Tillier
Clem,
Our discussion on this topic centers around the definition of TE. This
is a much abused term and perhaps through this abuse it has aquired a
meaning beyond what was originally intended. My interpretation of it
is the traditional (and perhaps older) meaning -- it is a calculated
quantity.
Let me cite a source for this. I refer to Ralph Johnson's (chief
engineer at BLW) book "The Steam Locomotive" page 137. "the term Rated
Tractive Force (TE) means the calculated, theoretical starting force,
and all other tractive forces will be designated by their respective
speeds."
The calculations for TE whether at starting or at speed do not include
any allowances for mechanical or windage losses. It strictly
determines the theoretical force a given locomotive could be capable of
applying at rim of a driving wheel. At starting this is based on the
physical parameters of a locomotive. At speed it is usually based on
the prime mover HP (boiler HP for steam; BHP for the diesel engine)
from which the resultant force is computed.
TE was intended as a design specification or figure of merit by which
one could compare the likely performance of various locomotives. With
this understanding, there really is no need to include mechanical or
windage losses. The more important figure is drawbar pull which
includes all such losses. It is what produces revenue for the RR.
This discussion originally began when a subscriber (Woodman) asked
about the relationship between TE and DB pull. There is no simple
answer to that question as TE is calculated and DB pull is real and
measurable. My attempt in explaining it was to show that a calculated
relationship could be developed if allowances are made for mechanical
and windage losses. A subsequent posting (O'Connor #7803) touched on
this when he referenced the work done by W. J. Davis, Jr. in developing
mathmatical relations to predict mechanical and windage resistance to
motion. I would refer you to that posting.
With regard to diesels, there are still mechanical losses which are not
considered in the calculation of TE. At starting this includes journal
friction which is chiefly a function of axle weight. But once in
motion, rolling friction (concussion, flange resistance and
oscillation) and windage losses become important. Grant it, a steam
locomotive has many more of these losses than a diesel with its
unpowered axles, plus the valve motion alone on a large steam engine at
speed can easily absorb 200-300HP.
I hope this helps to clarify my statements on this topic. If you would
like to discuss it further, E-mail me back. I'm at Stanford every
couple of months and we could get together over a cup of coffee!
Neil Carlson
Santa Cruz
P.S. If you're interested, I'm pretty sure there is a copy of
Johnson's book at Stanford. Try the Green Library or Stanford
Auxilliary Library (SAL) stacks.
>In article <3u5v1k$r...@ixnews6.ix.netcom.com>, bobs...@ix.netcom.com
>(Bob) wrote:
>>Does anyone know any resources for information on Stonewall Jacksons
>>train robbery where he pulled a train overland from Martinsburg to
>>Strausburg, Va IN 1861. Please reply your help will be appreciated.
>>
>>Bob
Working from memory most of the locomotives & rolling stock was destroyed when
Jackson had to abandon Harpers Ferry. This was done by igniting the loaded coal
cars and other flammable stock and running the locomotives off a destroyed
bridge into the Potomac. At least one smaller engine was hauled down the line
to Winchester then over the valley turnpike south to Stanton(?) Check any
history of Jackson. I liked 'They called him Stonewall' a pretty standard book
that I have seen in many libraries. I'm swamped at work right now but if you
need more pointers I'll try to dig them up. There is a new history of Jackson
that I have at home but haven't had a chance to read ( author was Fraswell??)
the section on the locomotive heist.
The basic story is this The confederates occupied the south bank of the Potomac
from Harpers Ferry past Martinsburg. The B&O ran with Stonewalls forebearance
on that stretch. Stonewall told the B&O that the loaded trains made too much
noise at night and that they would have to be run only in daytime. The B&O
complied. Then Stonewall said the empties were too noisy at night. The B&O
obliged by running everything during the day. One day he dispatched troops toi
each end of the line he controlled. The troops on the east end only stopped
eastbound trains the troops on the west end stopped westbound trains. Soon the
whole double track line was full of stopped trains!. He then burnt the bridges
and tried to figure out what to do with all the trains. some rolling stock and
at least on locomotive were sent south.
Bob Smart ( bsm...@rational.com)
Steam locomotive starting tractive effort T =
0.85 P x C**2 x S / D
where P = boiler pressure in pounds per square inch
C = cylinder diameter in inches
S = cylinder stroke in inches
D = driving wheel diameter in inches
Source: Locomotive Data, The Baldwin Locomotive Works, 1923.