Quantcast Figure 10-25.--Bevel gear differential.
 

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meshed gears can be found by using the following
of the several simple machines that make it up. In this
case, you considered the winch as being two
formula:
machines--one having an M.A. of 6 and the other an
M.A. of 2. Therefore, the overall theoretical M.A. of
the winch is 6 x 2, or 12. Since friction is always
present, the actual M.A. may be only 7 or 8. Even so,
In which,
by applying a force of 100 pounds on the handle, you
To= number of teeth on driven gear
could lift a load of 700 to 800 pounds.
Ta= number of teeth on driver gear
THE GEAR DIFFERENTIAL
In this case,
As you have seen, gears have a variety of
Then,
functions, and as an IC Electrician, you will work with
all types of gear trains. One type of gear train that is
used extensively is the gear differential. It is capable
of adding and subtracting mechanically. The gear
differential adds the total revolutions of two shafts, or
Now, the theoretical arrangement for the other
subtracts the total revolutions of one shaft from the
part of the machine, which is a simple wheel-and-axle
total revolutions of another shaft, and delivers the
arrangement consisting of the crank arm and the drum,
answer by positioning a third shaft. The gear
can be found by dividing the distance the effort
differential will add or subtract any number of
moves-- 2R--in making one complete revolution, by
revolutions, or small fractions of revolutions,
the distance the cable is drawn up in one revolution of
continuously and accurately.
the drum--2r.
Figure 10-25 is a cutaway drawing of a bevel gear
differential, showing all its parts and how they are
related to each other. Grouped around the center of the
The total, or overall, theoretical M.A. of a
mechanism are four bevel gears, meshed together. The
compound machine is equal to the product of the M.A.
two bevel gears on either side are called end gears. The
Figure 10-25.--Bevel gear differential.

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