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 practical conclusion of this whole assumption is that the material
in the area, _F E C B B_{1}_, forms with the equivalent opposite area an
arch reacting against the face, _C B B_{1}_ and that, as heretofore
noted, the lower half (or its equivalent, _B D_{1} G B_) of the weight
of this is assumed to be carried by the structure, the upper half being
self-sustaining, as shown by the line, _B_{III} D_{IV}_ (or, for
absolute safety, the curved line), and therefore, if rods could be run
from sheeting inside the tunnel area to a point outside the line, _F
B_{1}_, as indicated by the lines, 5, 6, 7, 8, 11, 12, 13, etc., that
the internal bracing of this tunnel could be omitted, or that the tunnel
itself would be relieved of all loading, whereas these rods would be
carrying some large portion at least of the weight within the area
circumscribed by the curve, _D_{II} I T G_, and further, that a tunnel
structure of the approximate dimensions shown would carry its maximum
load with the surface of the ground between _D_{IV}_ and _F_, beyond
which point the pressure would remain the same for all depths.
In calculating pressures on circular arches, the arched area should
first be graphically resolved into a rectangular equivalent, as in the
right half of Fig. 4, proceeding subsequently as noted.
The following instances are given as partial evidence that in ordinary
ground, not submerged, the pressures do not exceed in any instance those
found by the above methods, and it is very probable that similar
instances or experiences have been met by every engineer engaged in
soft-ground tunneling:
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