At the time of the above earthquake many houses seem to have moved like
inverted pendulums. On the morning after the shock my neighbour, who
was living upstairs in a tall wooden house with a tile roof, told me
that he endeavoured to count the vibrations, and was of the impression
that to make a complete swing it took about 2 seconds.
Assuming now that the distance through which the top of a wooden house
moved was about 1 foot, and the number of vibrations which it made per
second was about ·5, then the greatest velocity of a point on the top
of such a house must have been about 6 feet per second.
Mallet, who made observations upon the vibrations of various
structures, tells us that Salisbury spire moves to and fro in a gale
more than 3 inches. A well-constructed brick and mortar wall, 40 feet
high and 1 foot 6 inches thick, was observed to vibrate in a gale 2
feet transversely before it fell.
An octagonal chimney with a heavy granite capping, 160 feet high, was
observed instrumentally to vibrate at the top nearly 5 inches.[22]
At the time of a severe earthquake it does not seem impossible but that
a building may be swung completely over. The accompanying illustration,
fig. 24, taken from a photograph,[23] apparently indicates a movement
of description.
[Illustration: FIG. 24.—Stud Mill at Haywards, California. Oct. 21,
1868.]
_Principle of relative Vibrational Period._—If a lath or thin pole
loaded at one end with a weight fixed to the ground, so as to stand
vertically, be shaken by an earthquake it will be caused to rock to
and fro like an inverted pendulum. The period of its swing will be
chiefly dependent on its dimensions, its elasticity, and its load. In
a building we have to consider the vibration of a number of parts,
the periods of which, if they were independent of each other, would be
different. On account of this difference in period, whilst one portion
of a building is endeavouring to move towards the right, another
is pulling towards the left, and, in consequence, either the bonds
which join them or else they themselves are strained or broken. This
was strikingly illustrated by many of the chimneys in the houses at
Yokohama, which by the earthquake of February 20, 1880, were shorn off
just above the roof. The chimneys were shafts of brick, and probably
had a slower period of vibration than the roof through which they
passed, this latter vibrating with the main portion of the house, which
was framed of wood.
A particularly instructive example of this kind which came under my
notice is roughly sketched in fig. 25.
[Illustration: FIG. 25.]
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