ON GEARING AND HOW ORDERED
The technical name for gears, the
manner of measuring them, their pitch and like terms,
are most confusing to the novice. As an aid to
the understanding on this subject, the wheels are
illustrated, showing the application of these terms.
SPUR AND PINION.-When a
gear is ordered a specification is necessary.
The manufacturer will know what you mean if you use
the proper terms, and you should learn the distinctions
between spur and pinion, and why a bevel differs from
a miter gear.
If the gears on two parallel shafts
mesh with each other, they both may be of the same
diameter, or one may be larger than the other.
In the latter case, the small one is the pinion, and
the larger one the spur wheel.
Some manufacturers use the word “gear”
for “pinion,” so that, in ordering, they
call them gear and pinion, in speaking
of the large and small wheels.
MEASURING A GEAR.-The first
thing to specify would be the diameter. Now a
spur gear, as well as a pinion, has three diameters;
one measure across the outer extremities of the teeth;
one measure across the wheel from the base of the
teeth; and the distance across the wheel at a point
midway between the base and end of the teeth.
These three measurements are called,
respectively, “outside diameter,” “inside
diameter,” and “pitch diameter.”
When the word diameter is used, as applied
to a gear wheel, it is always understood to mean the
“pitch diameter.”
PITCH.-This term is the
most difficult to understand. When two gears of
equal size mesh together, the pitch line, or the pitch
circle, as it is also called, is exactly midway
between the centers of the two wheels.
Now the number of teeth in a gear
is calculated on the pitch line, and this is called:
DIAMETRAL PITCH.-To illustrate:
If a gear has 40 teeth, and the pitch diameter of
the wheel is 4 inches, there are 10 teeth to each inch
of the pitch diameter, and the gear is then 10 diametral
pitch.
CIRCULAR PITCH.-Now the
term “circular pitch” grows out of the
necessity of getting the measurement of the distance
from the center of one tooth to the center of the
next, and it is measured along the pitch line.
Supposing you wanted to know the number
of teeth in a gear where the pitch diameter and the
diametral pitch are given. You would proceed as
follows: Let the diameter of the pitch circle
be 10 inches, and the diameter of the diametral pitch
be 4 inches. Multiplying these together the product
is 40, thus giving the number of teeth.
It will thus be seen that if you have
an idea of the diametral pitch and circular pitch,
you can pretty fairly judge of the size that the teeth
will be, and thus enable you to determine about what
kind of teeth you should order.
HOW TO ORDER A GEAR.-In
proceeding to order, therefore, you may give the pitch,
or the diameter of the pitch circle, in which latter
case the manufacturer of the gear will understand
how to determine the number of the teeth. In
case the intermeshing gears are of different diameters,
state the number of teeth in the gear and also in the
pinion, or indicate what the relative speed shall
be.
This should be followed by the diameter
of the hole in the gear and also in the pinion; the
backing of both gear and pinion; the width of the
face; the diameter of the gear hub; diameter of the
pinion hub; and, finally, whether the gears are to
be fastened to the shafts by key-ways or set-screws.
Fi shows a sample pair of miter
gears, with the measurements to indicate how to make
the drawings. Fi shows the bevel gears.
BEVEL AND MITER GEARS.-When
two intermeshing gears are on shafts which are at
right angles to each other, they may be equal diametrically,
or of different sizes. If both are of the same
diameter, they are called bevel gears; if of different
diameters, miter gears.
It is, in ordering gears of this character,
that the novice finds it most difficult to know just
what to do. In this case it is necessary to get
the proper relation of speed between the two gears,
and, for convenience, we shall, in the drawing, make
the gears in the relation of 2 to 1.
DRAWING GEARS.-Draw two
lines at right angles, Fi, as 1 and 2, marking
off the sizes of the two wheels at the points 3, 4.
Then draw a vertical line (A) midway between the marks
of the line 2, and this will be the center of the
main pinion.
Also draw a horizontal line (B) midway
between the marks on the vertical line (1), and this
will represent the center of the small gear. These
two cross lines (A, B) constitute the intersecting
axes of the two wheels, and a line (5), drawn from
the mark (3 to 4), and another line (6), from the
axes to the intersecting points of the lines (1, 2),
will give the pitch line angles of the two wheels.
SPROCKET WHEELS.-For sprocket
wheels the pitch line passes centrally through the
rollers (A) of the chain, as shown in Fi, and
the pitch of the chain is that distance between the
centers of two adjacent rollers. In this case
the cut of the teeth is determined by the chain.