Fragments of Science: A Series of Detached Essays, Addresses, and Reviews. V. 1-2Tyndall, John
Science
Fragments of Science: A Series of Detached Essays, Addresses, and Reviews. V. 1-2
Tyndall, John
Chemistry; Physics; Science
In the absence of any distinct statement, I will assume the elevation
to be general--that a swelling out of the earth's crust occurred here,
sufficient to place the most prominent portions of the protuberance
three miles above the sea-level. To fix the ideas, let us consider a
circular portion of the crust, say one hundred miles in diameter, and
let us suppose, in the first instance, the circumference of this
circle to remain fixed, and that the elevation was confined to the
space within it. The upheaval would throw the crust into a state of
strain; and, if it were inflexible, the strain must be relieved by
fracture. Crevasses would thus intersect the crust. Let us now
enquire what proportion the area of these open fissures is likely to
bear to the area of the unfissured crust. An approximate answer is all
that is here required; for the problem is of such a character as to
render minute precision unnecessary.
No one, I think, would affirm that the area of the fissures would be
one-hundredth the area of the land. For let us consider the strain
upon a single line drawn over the summit of the protuberance from a
point on its rim to a point opposite. Regarding the protuberance as a
spherical swelling, the length of the arc corresponding to a chord of
100 miles and a versed sine of 3 miles is 100.24 miles; consequently
the surface to reach its new position must stretch 0.24 of a mile, or
be broken. A fissure or a number of cracks with this total width
would relieve the strain; that is to say, the sum of the widths of all
the cracks over the length of 100 miles would be 420 yards. If,
instead of comparing the width of the fissures with the length of the
lines of tension, we compared their areas with the area of the
unfissured land, we should of course find the proportion much less.
These considerations will help the imagination to realise what a small
ratio the area of the open fissures must bear to the unfissured crust.
They enable us to say, for example, that to assume the area of the
fissures to be one-tenth of the area of the land would be quite
absurd, while that the area of the fissures could be one-half or more
than one-half that of the land would be in a proportionate degree
unthinkable. If we suppose the elevation to be due to the shrinking
or subsidence of the land all round our assumed circle, we arrive
equally at the conclusion that the area of the open fissures would be
altogether insignificant as compared with that of the unfissured
crust.
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