On the Economy of Machinery and Manufactures, Charles Babbage [classic romance novels .TXT] 📗
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Total, 10.
French manufacture
237. Cost of 12,000 pins, No. 6, each being eight-tenths of an
English inch in length,—as they were manufactured in France about
1760; with the cost of each operation: deduced from the
observations and statement of M. Perronet.
Name of the process
Time for making twelve thousand pins Hours
Cost of making twelve thousand pins Pence
Workman usually earns per day Pence
Expense of tools and materials Pence
1. Wire — — — 24.75
2. Straightening and cutting 1.2 .5 4.5 —
3. Coarse pointing 1.2 .625 10.0 —
Turning wheel(2*) 1.2 .875 7.0 —
Fine Pointing .8 .5 9.375 —
Turning wheel 1.2 .5 4.75 —
Cutting off pointed ends .6 .375 7.5 —
4. Turning spiral .5 .125 3.0 —
Cutting off heads .8 .375 5.625 —
Fuel to anneal ditto — — — .125
5. Heading 12.0 .333 4.25 —
6. Tartar for cleaning — — — .5
Tartar for whitening — — — .5
7. Papering 4.8 .5 2.0 —
Paper — — — 1.0
Wear of tools — — — 2.0
24.3 4.708
The great expense of turning the wheel appears to have arisen
from the person so occupied being unemployed during half his
time, whilst the pointer went to another manufactory
338. It appears from the analysis we have given of the art of
pinmaking, that it occupies rather more than seven hours and a
half of time, for ten different individuals working in succession
on the same material, to convert it into a pound of pins; and
that the total expense of their labour, each being paid in the
joint ratio of his skill and of the time he is employed, amounts
very nearly to 1s. 1d. But from an examination of the first of
these tables, it appears that the wages earned by the persons
employed vary from 4 1/2d. per day up to 6s., and consequently
the skill which is required for their respective employments may
be measured by those sums. Now it is evident, that if one person
were required to make the whole pound of pins, he must have skill
enough to earn about 5s. 3d. per day, whilst he is pointing the
wires or cutting off the heads from the spiral coils—and 6s.
when he is whitening the pins; which three operations together
would occupy little more than the seventeenth part of his time.
It is also apparent, that during more than one half of his time
he must be earning only 1s. 3d, per day, in putting on the heads;
although his skill, if properly employed, would, in the same
time, produce nearly five times as much. If, therefore, we were
to employ, for all the processes, the man who whitens the pins,
and who earns 6s. per day, even supposing that he could make the
pound of pins in an equally short time, yet we must pay him for
his time 46. 14 pence, or about 3s. 10d. The pins would therefore
cost, in making, three times and three quarters as much as they
now do by the application of the division of labour.
The higher the skill required of the workman in any one
process of a manufacture, and the smaller the time during which
it is employed, so much the greater will be the advantage of
separating that process from the rest, and devoting one person’s
attention entirely to it. Had we selected the art of
needlemaking as our illustration, the economy arising from the
division of labour would have been still more striking; for the
process of tempering the needles requires great skill, attention,
and experience, and although from three to four thousand are
tempered at once, the workman is paid a very high rate of wages.
In another process of the same manufacture, dry-pointing, which
also is executed with great rapidity, the wages earned by the
workman reach from 7s. to 12s., 15s., and even, in some
instances, to 20s. per day; whilst other processes are carried on
by children paid at the rate of 6d. per day.
239. Some further reflections suggested by the preceding
analysis, will be reserved until we have placed before the reader
a brief description of a machine for making pins, invented by an
American. It is highly ingenious in point of contrivance, and, in
respect to its economical principles, will furnish a strong and
interesting contrast with the manufacture of pins by the human
hand. In this machine a coil of brass wire is placed on an axis;
one end of this wire is drawn by a pair of rollers through a
small hole in a plate of steel, and is held there by a forceps.
As soon as the machine is put in action, -
1. The forceps draws the wire on to a distance equal in
length to one pin: a cutting edge of steel then descends close to
the hole through which the wire entered, and severs the piece
drawn out.
2. The forceps holding the piece thus separated moves on,
till it brings the wire to the centre of the chuck of a small
lathe, which opens to receive it. Whilst the forceps is returning
to fetch another piece of wire, the lathe revolves rapidly, and
grinds the projecting end of the wire upon a steel mill, which
advances towards it.
3. After this first or coarse pointing, the lathe stops, and
another forceps takes hold of the half-pointed pin, (which is
instantly released by the opening of the chuck), and conveys it
to a similar chuck of an adjacent lathe, which receives it, and
finishes the pointing on a finer steel mill.
4. This mill again stops, and another forceps removes the
pointed pin into a pair of strong steel clams, having a small
groove in them by which they hold the pin very firmly. A part of
this groove, which terminates at that edge of the steel clams
which is intended to form the head of the pin, is made conical. A
small round steel punch is now driven forcibly against the end of
the wire thus clamped, and the head of the pin is partially
formed by compressing the wire into the conical cavity.
NOTES:
1. I have already stated that this principle presented itself to
me after a personal examination of a number of manufactories and
workshops devoted to different purposes; but I have since found
that it had been distinctly pointed out in the work of Gioja.
Nuovo Prospetto delle Scienze Economiche. 6 tom. 4to. Milano,
1815, tom. i. capo iv.
2. The great expense of turning the wheel appears to have arisen
from the person so occupied being unemployed during half his
time, whilst the pointer went to another manufactory.
On the Division of Labour
241. We have already mentioned what may, perhaps, appear
paradoxical to some of our readers that the division of labour
can be applied with equal success to mental as to mechanical
operations, and that it ensures in both the same economy of time.
A short account of its practical application, in the most
extensive series of calculations ever executed, will offer an
interesting illustration of this fact, whilst at the same time it
will afford an occasion for shewing that the arrangements which
ought to regulate the interior economy of a manufactory, are
founded on principles of deeper root than may have been supposed,
and are capable of being usefully employed in preparing the road
to some of the sublimest investigations of the human mind.
242. In the midst of that excitement which accompanied the
Revolution of France and the succeeding wars, the ambition of the
nation, unexhausted by its fatal passion for military renown, was
at the same time directed to some of the nobler and more
permanent triumphs which mark the era of a people’s greatness and
which receive the applause of posterity long after their
conquests have been wrested from them, or even when their
existence as a nation may be told only by the page of history.
Amongst their enterprises of science, the French Government was
desirous of producing a series of mathematical tables, to
facilitate the application of the decimal system which they had
so recently adopted. They directed, therefore, their
mathematicians to construct such tables, on the most extensive
scale. Their most distinguished philosophers, responding fully to
the call of their country, invented new methods for this
laborious task; and a work, completely answering the large
demands of the Government, was produced in a remarkably short
period of time. M. Prony, to whom the superintendence of this
great undertaking was confided, in speaking of its commencement,
observes: Je m’y livrai avec toute l’ardeur dont j’etois capable,
et je m’occupai d’abord du plan general de l’execution. Toutes
les conditions que j’avois a remplir necessitoient l’emploi d’un
grand nombre de calculateurs; et il me vint bientot a la pensee
d’appliquer a la connection de ces Tables la division du travail,
dont les Arts de Commerce tirent un parti si avantageux pour
reunir a la pernection de main-d’oeuvre l’economie de la depense
et du temps. The circumstance which gave rise to this singular
application of the principle of the division on labour is so
interesting, that no apology is necessary for introducing it from
a small pamphlet printed at Paris a few years since, when a
proposition was made by the English to the French Government,
that the two countries should print these tables at their joint
expense.
243. The origin of the idea is related in the following
extract:
C’est a un chapitre d’un ouvrage Anglais,(1*) justement
celebre, (I.) qu’est probablement due l’existence de l’ouvrage
dont le gouvernement Britannique veut faire jouir le monde
savant:
Voici l’anecdote: M. de Prony s’etait engage. avec les
comites de gouvernement. a composer pour la division centesimale
du cercle, des tables logarithmiques et trigonometriques, qui,
non seulement ne laissassent rien a desirer quant a l’exactitude,
mais qui formassent le monument de calcul 1e plus vaste et le
plus imposant qui eut jamais ete execute, ou meme concu. Les
logarithmes des nombres de 1 a 200.000 formaient a ce travail un
supplement necessaire et exige. Il fut aise a M. de Prony de
s’assurer que meme en s’associant trois ou quatre habiles
co-operateurs. la plus grande duree presumable de sa vie ne lui
sufirai pas pour remplir ses engagements. Il etait occupe de
cette facheuse pensee lorsque. se trouvant devant la boutique
d’un marchand de livres. il appercut la belle edition Anglaise de
Smith, donnee a Londres en 1776: il ouvrit le livre au hazard. et
tomba sur le premier chapitre, qui traite de la division du
travail, et ou la fabrication des epingles est citee pour
exemple. A peine avait-il parcouru les premieres pages, que, par
une espece d’inspiration. il concut l’expedient de mettre ses
logarithmes en manufacture comme les epingles. Il faisait en ce
moment, a l’ecole polytechnique, des lecons sur une partie
d’analyse liee a ce genre de travail, la methode des differences,
et ses applications a l’interpolation. Il alla passer quelques
jours a la campagne. et revint a Paris avec le plan de
fabrication. qui a ete suivi dans l’execution. Il rassembla deux
ateliers. qui faisai ent separement les memes calculs, et se
servaient de verification reciproque.(2*)
244. The ancient methods of computing tables were altogether
inapplicable to such a proceeding. M. Prony, therefore, wishing
to avail himself of all the talent of his country in devising new
methods, formed the first section of those who were to take part
in this enterprise out of five or six of the most eminent
mathematicians in France.
First section. The duty of this first section was to
investigate, amongst the various analytical expressions which
could be found for the same function, that which was most readily
adapted
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