Mechanics: The Science of MachineryBond, A. Russell (Alexander Russell)
History
Mechanics: The Science of Machinery
Bond, A. Russell (Alexander Russell)
Machinery; Mechanical engineering; Mechanics
There is a big difference, then, between the weight of water and the
pressure it exerts. In Figure 38 we have an L-shaped receptacle with
the lower arm of the L terminating in a chamber A. The top wall B
of this chamber measures ten square inches. The tube C has a cross
sectional area of one square inch. If tube C is filled to a height of
twelve inches above wall B we shall have an upward pressure of 0.434
pound on every square inch of wall B, or a total of 4.34 pounds. If
by means of a plunger D we add a hundred pounds of pressure to the
column of water in tube C, we shall be adding a thousand pounds to the
pressure on the wall B. The side walls and bottom of the chamber A
will also be subjected to a pressure of 1,000 pounds per inch plus the
pressure due to the depth or head of water.
[Illustration: FIG. 38.--DIAGRAM ILLUSTRATING HYDROSTATIC PRESSURE]
[Illustration: THE AIR-LOCK OF A PNEUMATIC CAISSON]
[Illustration: SUBAQUEOUS TUNNEL, SHOWING THE SHIELD IN THE BACKGROUND]
[Illustration: FIG. 39.--PRINCIPLE OF THE HYDRAULIC PRESS]
Here, then, we have a convenient means of multiplying force or effort
and it is a means that is used very largely in certain classes of
machinery. Figure 39 is a diagrammatic representation of a hydraulic
press. It consists of a cylinder A in which is fitted a ram B. An
L-shaped tube C connects with the cylinder and is fitted with a plunger
D. The cylinder and tube are filled with water and then when the
plunger is depressed the ram B has to rise, If the area of the plunger
is one square inch and that of the ram thirty square inches, a 100
pounds pressure on the plunger will exert 3,000 pounds of lift on the
ram.
HYDRAULIC LEVERAGE
However, we must remember that in mechanics, as in all walks of life,
we cannot get “something for nothing.” If we multiply the pressure or
force, we must pay for it in some way, otherwise we should be getting
more work out of the press than we put in it, which is what the
perpetual motion crank is ever trying to do. As the cross-sectional
area of the plunger D is only 1/30th of that of the ram, the plunger
must descend thirty inches to raise the ram one inch. We need not
consider the difference in the head of water because it would not
amount to more than a few ounces at most, nor need we consider
frictional losses. The case is parallel to that of the lever. In fact,
we may consider the hydraulic press as a fluid lever with the water in
tube C as the effort arm and that in cylinder A as the weight arm. The
two arms are here so proportioned that the power arm must move thirty
times as far as the weight arm. The work put into the press is exactly
balanced by that we get out of it. An effort of 100 pounds exerted
through a distance of thirty inches is exactly balanced by the moving
of 3,000 pounds through a distance of one inch.
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