Catechism of the locomotiveForney, Matthias N. (Matthias Nace)
Science
Catechism of the locomotive
Forney, Matthias N. (Matthias Nace)
Locomotives -- Handbooks, manuals, etc.
_Answer._ Because the truck axles can then assume positions which
conform very nearly to the radii of the curves of the track, and it is
well known that if two or more axles, each with a pair of wheels on
it, are attached to a frame with their centre lines parallel with each
other, as shown in fig. 152, they will roll in a straight line, but if
the centre lines of the axles are inclined to each other, as shown in
fig. 153, the tendency will be to roll in a curve, the radius of which
will depend upon the degree of inclination of the axles to each other.
In order to make the wheels in fig. 152 roll on the curves _a b_ and _c
d_, it will be necessary to slide them laterally a distance equal to
that between the curves and the straight lines _m o_ and _p r_, and as
the length of the outside curve is greater than the inside one, if the
wheels are fastened to the axles so they cannot turn on them and roll
on the curves, either the wheels on the inside or those on the outside
must slip a distance equal to the difference in the length of the two
curves. Considerable force will therefore be required to overcome the
resistance due to the combined lateral and circumferential sliding of
the wheels, so that more power will be needed to make them roll in
a curve than is necessary to make them roll in a straight line. If,
however, the axles are inclined to each other, then the wheels will
naturally roll on a curved path, and it will not be necessary to slide
them sideways to make them conform to such a path. But if the wheels
are all attached to the axles so that those on the same axle cannot
turn independently of each other and are all of the same diameter, then
either the inside or the outside ones must slip, because the path in
which the outside ones roll is longer than the inside curve, so that
even if the axles are inclined to each other more power will be needed
to roll the truck in a curved path than to roll the wheels shown in
fig. 152 in a straight line. It is, however, a fact that a cone or
a portion of a cone like that shown in fig. 154 will of itself roll
on a curve. It will do the same thing if the middle is cut away, as
indicated by the dotted lines in fig. 154 and as shown in fig. 155. If
now the wheels are made so that their peripheries[68] form portions
of a cone and the axles are inclined to each other as shown in fig.
156, then there will be no slipping on the track, because the outside
wheel, being larger in diameter than the inside one, advances further
in one revolution than the latter does, and thus rolls on the longest
path in the same time that the inside or smaller wheel does on the
shorter one. When this is the case, such wheels will roll in a curve
as easily as those in fig. 152 will in a straight line. The degree of
inclination of the axles and of the sides of the cone must, however,
vary with the radius of the curve. But if the axles are parallel to
each other, and the wheels conical, as represented in fig. 157, they
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