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If
the pressure is computed on this basis, and a factor of safety of 2 is used, it
is equivalent to an actual pressure of only one-half the amount (which is more
probable), having a factor of 4. If the depth of the earth is quite large
compared with the dimensions of the concrete culvert, we may consider that the
upward pressure on the bottom, as well as the lateral pressure on the sides, is
practically the same as the downward pressure on the top. If the bottom of the concrete
culvert is laid on rock, or on soil which is practically unyielding, there will
be no necessity of considering that there is any upward pressure on the bottom concrete
slab tending to burst that concrete slab upward. The softer the soil, the
greater will be the tendency to transverse bending in the bottom concrete slab.
Since the design of rectangular concrete box culverts is purely an application
of the equations for transverse bending, after the external pressures have been
determined, no numerical example will here be given. These structures are not
only reinforced with bars, considering the sides as concrete slabs, but should
also have bars placed across the corners, which will withstand a tendency of
the section to collapse in case the pressure on opposite sides is unequal.
They
must also be reinforced with bars running longitudinally with the concrete
culvert. As in the other cases of longitudinal reinforcement, no definite
design can be made for its amount. A typical cross-section for such a concrete
culvert is shown in Fig. 115. The longitudinal bars are indicated in this
figure. They are used to prevent cracks owing to expansion or contraction, and
also to resist any tendency to rupture which might be caused by a settling or
washing-out of the subsoil for any considerable distance under the length of
the concrete culvert. The general subject of concrete arches, and especially
the application of reinforced concrete to arch construction, are taken up in
Part V, and therefore will not be further discussed here. The laws of
mechanics, as well as experimental testing on full-sized concrete columns of
various structural materials, show that very short concrete columns, or even
those whose length is ten times their smallest diameter, will fail by crushing
or shearing of the material. If the concrete columns are
very long, say twenty or more times their smallest diameter, they will probably
fail by bending, which will produce an actual tension on the convex side of the
concrete column. The line of division between long and short concrete columns
is practically very uncertain, owing to the fact that the center line of
pressure of a concrete column is frequently more or less eccentric because of
irregularity of the bearing surface at top or bottom. Such an eccentric action
will cause buckling of the concrete column, even when its length is not very
great.
On this account, it is always wise (especially for long concrete columns)
to place reinforcing bars within the concrete column. The reinforcing bars
consist of longitudinal bars (usually four, and sometimes more with the larger concrete
columns), and bands of small bars spaced from 6 to 18 inches apart vertically,
which bind together the longitudinal bars. The longitudinal bars are used for
the purpose of providing the necessary transverse strength to prevent buckling
of the concrete column. As it is practically impossible to develop a
satisfactory theory on which to compute the required tensional strength in the
convex side of a concrete column of given length, without making assumptions
which are themselves of doubtful accuracy, no exact rules for the sizes of the
longitudinal bars in a concrete column will be given. The bars ordinarily used
vary from I inch square to 1 inch square; and the number is usually four,
unless the concrete column is very large (400 square inches or larger) or is
rectangular rather than square. It has been claimed by many, that longitudinal
bars in a concrete column may actually be a source of danger, since the
buckling of the bars outward may tend to disintegrate the concrete column.
Are You in Brockton
Massachusetts? Do You Need Concrete Cutting?
We Are Your Local
Concrete Cutter
Call 781-519-2456
We Service Brockton
MA and all surrounding Cities & Towns