The authors of text-books on the strength of materials tell us that
"the Modulus of Elasticity of any material, is the force that would
lengthen a bar of that material of 1 inch square to double its length,
or compress it till its length became zero; supposing it possible to
stretch or compress the bar to this extent before breaking." This is
neither more nor less than a counterpart of the law of gases, upon
which the air thermometer is constructed, applied to solid matter, and
may be used in the same manner. But we can never produce a perfect
vacuum, and so annihilate a gas and temperature; neither can we
annihilate matter, nor easily reduce it to one half of its volume. Now,
we have seen, a little way back, that a column of granite 25 miles high
would exert a pressure at its base 15 times as great as would crush it
to pieces; so that a column of 25÷15, or 1·66 miles high would destroy
the elasticity of the material, because, when crushing takes place,
all elasticity is gone. We cannot, therefore, get much satisfaction
out of any calculations made upon the theory of the strength of
materials; still, by them, we can make more plain the absurdity of any
notion of the indefinite compressibility of matter. But if, in the
face of contravening its conditions, we follow the reasoning used for
the formation of the theory, and take the modulus of elasticity for
granite as 2,360,000 feet, then the same modulus would compress a bar
of granite of 1 inch square in section till its height became zero. And
as that length is equal to 447 miles, at that depth from the surface of
the earth, granite or any other rock or stone of a similar nature would
be compressed out of existence by the weight of the superincumbent
matter.
Public-domain text, read in full here on John Shaqi.
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