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Pressure, Resistance, and Stability of Earth - American Society of Civil Engineers: Transactions, Paper No. 1174, - Volume LXX, December 1910 by J. C. Meem
page 66 of 92 (71%)
The author is correct in so far as he assumes that "the character of the
stresses due to the thrust of the material will" not "change if bracing
should be substituted for the material in the area" designated by him,
etc., provided he makes the further assumption that absolutely no
motion, however infinitesimal, has taken place meantime; but, unless
such motion has actually taken place, no arch action can have developed.
An arch thrust can result only with true arch action, that is, with
stable abutments, and the mass stressed wholly in compression, with
corresponding shortening of the arch line. The arch thrust must be
proportional to the elastic deformation (shortening) of the arch line.
If any such arch as is shown in Fig. 5 is assumed to carry the whole of
the weight of material above it, that assumed arch must relieve all the
assumed arches below. Therefore each of the assumed arches can carry
nothing more than its own mass. Otherwise the resulting thrust would
increase with the depth, which is opposed to the author's theory.

Turning again to the condition that each arch can carry only its own
weight: if these arches are assumed of thicknesses proportional to the
distance upward from the bottom of the wall, they will be similar
figures, and it is easily demonstrated that the thrust will then be
uniform in amount throughout the whole height of the wall, except,
perhaps, at the very top. This condition is contrary to the author's
ideas and also to the facts as demonstrated by the writer's experiment
on the 40-ft. retaining wall at St. George. Consequently, the author's
statement: "nor can anyone * * * doubt that the top timbers are stressed
more heavily than those at the bottom," is emphatically doubted and
earnestly denied by the writer. Furthermore, "the assumption" made by
the author as to "the tendency of the material to slide" so as to cause
it "to wedge * * * between the face of the sheeting * * * and some plane
between the sheeting and the plane of repose," is considered as
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