A MECHANICAL ESSAY,
_To derive Power from expanding Metals_.
It is not supposed that this Essay can lead, immediately, to any result
of magnitude; but it is thought to be a subject capable of further
extension, and thus, finally, of future usefulness. Were this process
only sufficient to supply a single house with water, at a small expence,
the labour bestowed on it would not be altogether in vain.
By General Roy’s experiments, cast iron (and steel) expanded by 180° of
heat (or, by passing from the freezing to the boiling point of
FAHRENHEIT) 0.013 of an inch per foot.
Supposing, then (Plate 34, fig. 1), the tubes _A B C_ to be 20 feet
long, their whole expansion will be 0.26 hundredths of an inch. But, as
the tubes are placed in the figure, the _half_ tubes _A D B D_ act
together on the sphere _D_, and, both together, drive it in the
direction _E D_, _more_ than as the above expansion, in the proportion
of the line _E D_ to that _A D_. Taking, then, one half only of the
above expansion = 0.13 hundredths of an inch, _that_ must be augmented
in the ratio of the sine of 60 degrees to radius, or in that of _A D_ to
_E D_. I, therefore, multiply this decimal 0.13 by the fraction
1000/866, which gives 1300 to be divided by 866, or very nearly 0.15
for the expansion, in the direction _E D_, occasioned by the two half
bars _A D B D_: and the same is true at the other angles _F_ and _G_.
Again, to find the expansion (and _contraction_) of the bars _a b c_, we
must compute their length as compared with the half tubes
above-mentioned; and that length is to 10 feet (the half tube _A D_ or
_B D_) as 866 is to 1000 = 11.54 nearly: the expansion of which is thus
found:--if 10 feet expand 0.13, what will 11.54?--Answer, 0.15. Now, as
the machine acts by the _heating_ of the pipes _A B C_ simultaneously
with the _cooling_ of the bars _a b c_, we must add the former expansion
to this _contraction_, which gives us 0.30, or _three tenths_ of an inch
for this combined effect at the three angles of the Machine. And,
_supposing_, now, any pair of bars to act directly against each other,
as at _H I K_; and that, further, the bars be stretched until the angle
with the horizon be only 2 degrees, then the vertical motion at _I_ will
be to the horizontal (arising from the expansion aforesaid) as 1000 to
35, the sine of 2; that will be, in round numbers, 28 times as great, or
28 _times three tenths of an inch_ = 8.4 inches, which is the _stroke_
of this Machine in these dimensions.
In this calculation, I have not forgotten that the vertical and
horizontal motions are _nearer alike_, when the bars are not drawn so
tight at _K H_; that is, when the joint _I_ is lowered. But it is
equally true that, when the joint _I_ rises still more, the difference
between these motions is _still greater_; so that, as a medium effect, I
think we may reckon on an _eight-inch stroke_ in the present case.
The question now recurs, of what _strength_ are these strokes? Are they
sufficiently powerful to produce a useful effect with so _short_ a
motion? This I cannot say from experience; but, from the known strength
of iron and steel, their power, in these dimensions, must be _very
great_. A few more observations may occur in the course of the enlarged
description we shall give of the Machine itself.
_A B C_ are three pipes of cast iron, well turned at the end, and having
conical points of iron, well steeled, let into them, so as to have no
tendency to _bend_. _a b c_ are three steel bars, placed in troughs, so
as to be heated or cooled by water poured into the latter. Or, these
troughs _may_ be exchanged for tubes, to admit heated or cooled air,
according to the means used to cause these mutations. In a word,
although I have represented these bars as contained in troughs, I intend
to finish my description, on the supposition that they are _tubes_,
because I intend to suppose the Machine worked by _air_ instead of
water.
To proceed: at _d_ is an opening _under_ the tube _B_, into which air
enters, and _C_ is an opening _on_ the top of the tube which emits the
same air, the three pipes being made to communicate by means of a short
junction-pipe at each of the angles _D_ and _G_. Here, then, the
fire-place _f g_, fig. 2, must be noticed: the use of which is both to
heat and cool the Machine; and the following are the means:--This little
instrument contains fire in it’s middle compartment, and that fire draws
_air_ into the part _f_, and drives it out of the part _g_. It also
_turns_ on a centre-pin, seen in the figure. This chaffing-dish, then,
is placed at _i d_, and there serves a double purpose. When it’s pipe
_g_ conveys heated air into the pipes _B A C_ (and _out_ at _C_), it
heats those pipes and expands them; but, at the same time, the pipe _f_
of this instrument draws cold air through the three tubes _a b c_, in
which are the steel bars that require to be _contracted_: both which
operations conduce alike to the above-described effect. By these means,
the weight _w_ is raised, and (for example) water sucked into the pump
_X_. But, turning the fire-place half round, we reverse this effect. The
_hot_ air is now drawn, out of the pipes _A B C_, and _cold_ air drawn
through them, by which they are _cooled_; while the hot air, from the
fire, is thrown through the pipe _g_ into the tubes _a b c_, and passing
through the chimneys _k l_, there heat the bars and expand them,--both
which operations concur in _letting down_ the weight _E_, and thus, in
forcing the water of the pump to whatever destination was previously
assigned it.
OF
A MACHINE,
_For Making Laces, Covering Whips, &c._
Many people, in these parts, have seen a certain machine, said to have
been invented by an inmate of that laudable institution the Liverpool
Asylum for Blind People; for the purpose of making laces, covering
whips, &c. I hope the similarity of name will not induce any reader to
suppose that I have had that machine in view, and am endeavouring to
cast it into the shade, or purposely to supersede it. If any person
should thus think, I have a _safe_ reply at hand. My own invention
(somewhat less perfect than it now is) was made, many years ago, on
purpose to serve _an Asylum for the Blind in Paris!_--a reflection with
which I shall, at once, close this, perhaps, unnecessary apology.
This Machine is represented in Plate 34, at figs. 3 and 4. It consists
of a frame of wood or metal _A B_, on which are _mounted_ the following
objects:--1st, on the traverse _B_, a fixed tube, having for it’s base
the horizontal plate _a b_, and rising perpendicularly to _near_ _c d_;
where it unites with a conical or trumpet-like vessel _c d_, _f e_; the
left side of which is shewn in perspective, and the right side in a
section only. To this _fixture_ is adjusted the spherical portion _g h_,
_h_, prepared to receive several cuts or slits 1 2 3 for the
bobbin-slides hereafter-mentioned, to slide up and down in. This leads
us to observe the upper fixture _C_, which is a cylinder, terminated
downward by a spherical _dome_ _i k_, _k_; also receiving the several
cuts 4, 5, 6, into which the aforesaid bobbin-slides pass from the
former slits 1, 2, 3, &c. Now it will be seen that the two spherical
parts thus fixed, are separated from each other by the circular and
horizontal slit _l m_, whose use is to permit the _pipes_ shewn in the
section at _n o_, to circulate _all round the machine_, while the
bobbin-slides and bobbins _k p_ are sometimes _above_ and sometimes
_under_ the said slit _l m_.
Now, then, it becomes necessary to speak of the _cause_ of this passage
of the bobbin-slides from the under to the upper parts of the slits 1,
4, 2, 5, and _vice versa_. That cause is in the second dome _q r_, which
covers, as far as it rises, the inner dome _f i_, _k h_; and it consists
in a serpentine canal, of which a section is given to the left of _q_,
and at _s_, _in the section of the principal figure_.
But to make this important piece of the Machine better known, I have
drawn it apart, in figure 4, on the _supposition_--that it is a portion
of _a cone instead of a sphere_: I say a cone drawn with the radii _t
q_, _t r_, according to the dotted line _t r_. The surface then of this
cone, is supposed straightened in the lateral figure; and the aforesaid
serpentine canal is shewn at _a b c d e_, having the rollers of the
bobbin-slides placed in that canal, at the same points _a b c_, &c.
Here also, certain dotted lines _f g_, _h i_, &c. shew the _relative_
positions of the slits 1 4, 2 5, &c. of the principal figure, and also
of the horizontal slit _l m_: whence it appears, that the revolution of
the bent canal, _a b c_, &c. must some times drive the rollers towards
_g i_, &c. and sometimes towards _f h_, &c. while the _pipes_ _n o_ pass
undisturbedly round the Machine, in the horizontal slit _l m_ of both
figures.
The question now arises, _how_ is the circular motion given to the outer
dome _q r_ of the principal figure? that dome is _screwed_ to the cone
_r v w r_, being itself of one piece with the hollow tube _v w_, on
which the wheel _x y_ is fixed. Now, this wheel _x y_, is driven by a
vertical wheel _z_, of _twice_ the diameter, for a reason we shall soon
disclose.
It remains now, principally, to speak of the drawing-system of this
Machine, shewn, in small, at _c_, and of a natural size in fig. 5 of
this Plate. That Machine has also it’s own tube _c x′_, working inside
of the fixed tube _a b_, &c. and terminated, at bottom, by the wheel
_x′_, which turns it by means of the second vertical wheel _x′ z_, fixed
on the same axis as the wheel _z_ before-mentioned, and of half it’s
diameter.
Supposing then, for the moment, that the mechanism _c_ derives from it’s
circular motion, the property of drawing downward the threads from the
pipe _n o_, and the bobbin _p_; (being one of the _twelve pair_
distributed round the Machine) we shall now set the Machine at work, for
the purpose of viewing it’s operation a little more narrowly. Looking at
the two kinds of texture, indicated in the figure below the traverse
_B_, we see that on the left composed (in weavers’ language) of a
straight _warp_, crossed by an oblique _weft_; and this I believe, is
the common texture of _round, small ware_, as usually woven: the slope
of the weft being less and less as the number of shuttles diminishes,
insomuch that with one shuttle that slope, _might_ become almost
invisible. But in the work made on this Machine, where, virtually, there
are as many shuttles as threads in the chain, the slope would become
very perceptible, too much so, perhaps, to give a desirable appearance
to the work; although the rapidity of execution, from the multitude of
crossings, would compensate for some imperfection of that kind. But, in
fact, this Machine is intended to make a diagonal or diamond texture, as
in the specimen to the right hand: and _that_ is the object of the _two_
pair of wheels _x y_, with _z_; and _x′_ with _x′ z_ before mentioned.
Their effect is this: when the large vertical wheel _z_, has turned the
outer dome and the pins _n o_, once round the common centre, the smaller
vertical wheel _x′ z_, has turned the drawing-system _c_, just one half
as much round that centre, and thus sloped the threads coming from the
fixed slits in which the bobbins move, as much, in one direction, as the
_whole_ turn given to the pins _n o_, has sloped the other half of the
threads in the other direction, and the result has been the aforesaid
diagonal texture.
There are a few other things to be observed by way of closing this
article. As the Lace, or Cord is made on the Machine by a turning
motion, it must be received below into a turning vessel, or it will be
twisted, and thus injured. The vessel _D_, is provided for that purpose;
and is turned by a cord from a pulley on the axis of the wheel _z_,
coming under two vertical pullies, and acting on an horizontal pulley _F
E_, connected with the said vessel; and if preferred, the draught itself
might be placed in, or above, the vessel _D_, but it would not, I think,
produce so perfect an article.
With respect to the drawing Machinery _in_ the Machine at _c_, there is
shewn, a flat surface just under that Machinery. It’s purpose is to
serve as a _mover_ for that System: To shew which, in a clearer manner,
is the use of the fifth figure. In this figure, the drawing rollers turn
in a frame _a b b_, and carry on one of their shafts a cog-wheel _c_
_or_ _d_, by which they receive this motion from the pinion _e_; this
pinion being connected with the rowel _f g_, and running with it on a
stud _h_, more or less removed from the centre, as circumstances may
require. This rowel then, (for it’s edge, formed as in the figure, is
_indented_ with sharp teeth across it’s face) runs on the _flat surface_
before indicated, at or near _e_, (fig. 3) and by the rotatory motion
received from the wheel _x′_, gives a drawing motion to the rollers, the
use of which has already been explained; namely, to draw down the
_goods_ as they are formed. It need hardly be observed further, that
_any kind of filling_ may be brought down twisted from _C_, to the
entrance of these rollers at _c_, and thus be included in the plaited
texture; and in fact, the rollers in fig. 5, are shewn (by the dotted
lines) as formed to receive an object of considerable diameter, as a
whip, &c. that it may be wished to cover. Where I remark, that this
lozenge form of the grooves _O_, is not given without a motive: the
grooves are thus formed (the cylinders being supposed capable of opening
by a springy movement) in order that, if desired, they may draw the body
downward, so much the faster, as it’s diameter increases--and thus keep
the covering threads at the same angle in every case. I shall only add,
that these movements can be permanently determined by wheels, when the
rowel _f g_, acting on the horizontal surface _c_, has fixed the real
velocities of draught required for a given purpose.
This Machine then, is capable of excellent results, and of a speed
almost inconceivable: since at every turn, if there are _twelve_ bobbins
_p_, and twelve pipes _n o_, it makes twenty-four passages of the
threads among each other, answering, in some cases, to an _inch_ in
length of the fabricated texture; so that, counting 120 turns per
minute, (which is moderate) we have 2880 passages, and 120 inches of
work in a minute; equal to 200 yards per hour--a quantity which does not
yet limit the produce of this Machine.
OF
A BATTING MACHINE,
_For Cotton, or_ FINE _Filaments in general_.
This Machine is represented in figs. 1 2 3 of Plate 35. It is composed
of a frame _A B_, on which are placed two sets of rollers _a b_, _c d_,
round which is stretched an endless feeding cloth, on the upper surface
of which the Cotton is laid by the attendant. Across this frame _A B_,
is fixed a strong board _C D_, having a ledge or _bridge_ at each end,
over which are tightened the cat-gut strings 1 2, 3 4, &c. Moreover,
across this board, is fixed on proper bearings, (placed either straight
or diagonally) the axis _e f_, furnished with any proper number of _iron
fingers_ 7 8, &c. which _spring_ the cords 1 2, 3 4, &c. every time they
pass by them: where it may be observed, that by the varied _forms_ of
the ends of those fingers, the vibrations are made to be vertical,
horizontal, or oblique, at pleasure. In fig. 2, these fingers are seen
from one end of their axis _e f_--and in figs. 1 and 3, they are shewn
sideways: and in the latter figure, the strings are shewn as small
circles between _e_ and _f_, with the feeding cloth _a c_, stretched
under them.
The following then, describes the effect of this Machine: The Cotton
being laid on this feeding cloth near _B_, is gently drawn under the
vibrating cords at _g h_: for while _this_ takes place by the action of
the handle at _e_, the pulley _f_ by the cord _i_, gives a slow motion
to the cylinder _B_, and by it to the feeding cloth _B A g h_. The
Cotton then passes under the strings toward _B A_, and is greatly
agitated in the passage; and when arrived at _A_, it falls into any
proper receptacle--whence it is taken to undergo the succeeding
operations of the factory. I would just mention, finally, that the axis
_e f_, though here supposed to be turned by the handle _e_, would, _of
course_, receive it’s motion from a proper _power_; set on, or stopped
by the usual methods.
OF
A HORIZONTAL WIND MACHINE,
_For raising Water in large quantities_.
This Invention has for it’s object, to make a more abundant use of the
wind’s agency, _at a given expence_, than is usually done: and the
means, generally, are to avoid a part of the expence lavished on the
foundations or fixtures of wind-mills, and _yet_ to carry _more sail_
than that system admits of. Machines of this nature, are chiefly used in
low marshy countries, where there is much water to be raised, and little
solid ground to build on. My idea here, is to found the whole on the
water, and to make that element the medium, and as it were the _centre_
of every motion.
Let us then suppose already constructed, the _long_ and narrow boat _A
B_, figs. 4 and 5 of Plate 35:--and that there is contained in the
middle of it’s width, a cylindrical _pipe_ of iron, (or a square wooden
box) of equal length, serving as a pump, by means of a spherical or
square piston _a_ or _b_, drawn from end to end by the means soon to be
described. The cost of such a pump-barrel would not be _great_, though
it should be of considerable length--(even 300 feet would not cost so
many pounds). Now, at each end of this vessel _A B_, there would be
raised a vertical part of equal size _C D_, surmounted by a caster, (_E
F_) turning, horizontally, on a hollow centre, _through_ which a rope
would pass from the aforesaid piston, (_a_ or _b_) to the boat or ship
_S_, which is the _primum mobile_ of the System. This boat would further
be made to carry as much sail as possible, and to encounter as little
resistance as possible from the water. It’s properties of carrying sail,
might even be enlarged, by the use of one or more _out-riggers_, as is
done in various eastern countries.
It would be proper, likewise, to give the vessel a rudder at each end,
and to reverse her motion by changing the sails, _without tacking_. This
is also represented in the two figures 4 and 5: and, in the present
case, the vessel is rigged with three masts, and three large sails
nearly square, yet somewhat _deeper_ on the lee side than to windward,
to make the sails the more governable, though as large as possible.
Supposing now, all these things arranged, and the rope _N O_ fastened to
or near the middle of the vessel, and to the aforesaid piston over the
pullies of the casters _E F_; _then_, if the vessel sails in the _long
ellipsis_ 1, 2, 3, 4, the _sum_ of the two portions of rope _N, O_, will
be always the same; and, the wind coming from _a_, in the direction of
the arrow, she will sail advantageously from 1 to 4, or the contrary,
carrying the piston from end to end of the pump; and thus exhausting it
at every passage; and filling it again from the _lower_ water.
To recapitulate--and bring the several parts again to view; _S_, in
both figures, is the vessel, supposed of the best form for carrying
_much_ sail: _E F_ are two casters with their pullies; _p q_ are two
pullies at the bottom of the vertical barrels _C D_, _under_ which the
rope passes to the piston at _a_ or _b_, &c. In fine, _q r s_ are the
three sails, and _t v_ the two rudders, by which the vessel is steered
in either direction, so as to keep it’s wind without causing _too much
stress_ on the rope _N O_. This consideration involves another, which
must now be cleared up: namely, _how_ can this mechanism be made to
produce the same effect in every direction of the wind? I answer, the
whole System must be _moored_ at one end _A_, in the strongest manner;
while the opposite extremity _B_, shall have liberty to veer round that
point, as a centre, through 90 degrees of a circle; _some one position_,
between which extremes, will suit every wind, _on this condition_, that
the vessel by it’s rudders, keel, &c. be able to keep her ground,
although the wind should come from the _convex_ side of the ellipsis; a
thing by no means impossible, though less desirable than the state first
represented.
Thus it appears, that I expect the favourable result of this System from
two sources: the first, (but _least_) from the length of this pump,
which permits much water to be raised without much agitation; and
second, from the _quantity of sail_ it is possible to carry by this
method, compared with the sails of a wind-mill. My idea is, indeed, that
since the power of the wind is so boundless, we ought to use it more
liberally than we do: and I am persuaded, that _ten times_ as much work
might be done _at a given expense_, by such means as these, as can be
done by the usual methods.
Before I quit this subject, I would just observe, that there are _many_
situations in which this powerful agent might be made useful, in
conjunction with water power, as applied, perhaps, to encreasing works,
and being itself incapable of proportionate extension. Thus, there are
_many_ water mills (used for various purposes) that are obliged to
_wait_ the re-filling of the mill pond; and which, therefore, lose much
time, although the _wheel_ would be capable of doing even more work than
is actually wanted. In fact, it _often_ happens, that the worse the
supply of water, the better is the wheel: for _this_ has been sometimes
thought a mean of making up the deficiency. In such a case then, a cheap
wind apparatus might double or triple the effect of the wheel, and the
produce of a given establishment. But it will be objected, that the wind
is an uncertain helper! and thus less fit to be resorted to. This I
acknowledge; but still say, that could it be used when only a _breeze or
a zephyr_, it’s utility would be much extended; and _this_ is another
consequence of a system founded on the application of _much sail_ to a
given purpose. Still however, as nothing absolutely conclusive can be
said on so _variable_ a subject, I shall not now lengthen this
discussion.
OF
A FLAX-BREAKING MACHINE.
It is important, in _most_ machines, to avoid oscillatory
motions:--which uniformly protract _the time_ of an operation, or
require a greater _power_ to perform it. This consideration has given
rise to the form and properties of the Machine I am about to describe.
In Plate 36, figs. 1, 2 and 3, represent this production. The first is
an elevation; and the second is a plan, serving to shew the manner of
_feeding_ the Machine. To speak first of the second figure--_A B_ is a
pulley, (shewn at large in fig. 1, and marked with the same letters;)
it’s use is to receive the endless cord _C D E_, which is composed of
three strands, like the apparatus of a peruke-maker; these strands being
divided at _F_, and passing there over three pullies placed at a proper
distance on the same shaft _F_. These pullies are gently turned by that
shaft, and carry with them the afore-mentioned triple cord, _to_ which,
in the passage _toward_ the Machine, have been _woven_ small handfuls of
flax, by the same process as the barber uses to fasten the hair of a
wig; one difference however obtains: the flax is knit to the cords at
it’s _small_ end, and within a few inches of it, so that the root-ends
hang pendent, and when that part of the cord enters beyond the pulley
_E_, those ends hang round the large pulley _A B_, against the grooved
surface of the outer rim: The method of grooving this drum is better
shewn in fig. 3: and it should be noted, that the smaller drums _C D_,
are grooved in a similar form, their diameters being such as to divide
exactly, in _some_ ratio, the outer cylinder _E F_. In fig. 1, two
_portions_ of these handfulls of flax are represented by the waved lines
_m n_, drawn between the cylinders _C D_, and the section _E F_ of the
said outer cylinder; where it is evident, that if these cylinders had,
in that place, teeth like those of fig. 3, these handfulls of flax would
appear _bent_--which is indeed the process by which the wood is broken,
and the filament divested of it. It appears also by the figure 1, that
the cylinders _C D_, run on centres, fastened _only_ to the pins of the
cross piece _o p_, (shewn by dotted lines in fig. 2.) These cylinders I
say, are thus mounted, that there may be _no centres below_, to gather
up the flax or wood, and thus embarrass the motion of the Machine.