Pressure, Resistance, and Stability of Earth: American Society of Civil Engineers: Transactions, Paper No. 1174, Volume LXX, December 1910Meem, J. C.
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Pressure, Resistance, and Stability of Earth: American Society of Civil Engineers: Transactions, Paper No. 1174, Volume LXX, December 1910
Meem, J. C.
Civil engineering -- Periodicals; Soil mechanics
The writer has made the second experiment noted, with special apparatus,
and finds that with tissue paper over the bottom of a 2-in. pipe, 15 in.
long, about 12 in. of sand will stand the blow of a heavy sledge hammer,
transmitted through a wooden piston, at least once and sometimes two or
three times, while heavy blows given with a lighter hammer have no
effect at all. That this is not due in any large measure to inertia can
be shown by the fact that more than 200 lb. can safely be put on top of
the wooden piston. It cannot be accounted for entirely by the friction,
as the removal of the paper allows the sand to drop in a mass. The
explanation is that the pressure is transmitted laterally to the sides,
and as the friction is directly proportional to the pressure, the load
or effect of the blow is carried by the proportional increase in the
friction, and any diaphragm which will carry the direct bottom load will
not have its stresses largely increased by any greater loading on top.
The writer believes that experiments will show that in a sand-jack the
tendency will be for the sides to burst rather than the bottom, and that
the outflow from an orifice at or near the bottom is not either greatly
retarded or accelerated by ordinary pressure on top. The occurrence of
abnormal voids, however, causes the sand to be displaced into them.
The important consideration of this paper is that all the experiments
and observations noted point conclusively to the fact that pressure is
transmitted laterally through ground, most probably along or nearly
parallel to the angles of repose, or in cases of rock or stiff material,
along a line which, until more conclusive experiments are made, may be
taken as a mean between the horizontal and vertical, or approximately 45
degrees. There is no reason to believe that this is not the case
throughout the entire mass of the earth, that each cubic foot, or yard,
or mile is supported or in turn supports its neighboring equivalent
along such lines. The theory is not a new one, and its field is too
large to encompass within the limits of a single paper, but, for
practical purposes, and within the limited areas to which we must
necessarily be confined, the writer believes it can be established
beyond controversy as true. Certain it is that no one has yet found, in
ground free from water pressure or abnormal conditions, any evidence of
greater pressure at the bottom of a deep shaft or tunnel than that near
the surface. Pressures due to the widening of mines beyond the limits of
safety must not be taken as a controversion of this statement, as all
arches have limits of safety, more especially if the useless material
below the theoretical intrados is only partly supported, or is allowed
to be suspended from the natural arch.
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