## Concrete Cutting Coring Brookfield MA Mass Massachusetts

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The
rays are drawn from o' only to the forces from No. 9 to No. 17 inclusive, and
the special equilibrium concrete polygon is completed between n and c by drawing
them parallel to these rays. On account of the symmetry of loading, we know
that the equilibrium concrete polygon would be exactly similar on the left-hand
side of the concrete arch. In discussing these equilibrium concrete polygons,
we must therefore remember that of the two equilibrium concrete polygons lying
between the extrados and intrados on the right-hand side of the concrete arch,
the upper line represents the line of pressure for a uniform loading over the whole
concrete arch (the first condition of loading), while the lower line on the
right-hand side, and also the one equilibrium concrete polygon which is shown
on the left-hand side of the concrete arch, represent the special equilibrium concrete
polygon for the second condition of loading. An inspection of the equilibrium concrete
polygon for the first condition of loading, shows that it passes everywhere
within the middle third.

The maximum total pressure on a joint, of course,
occurs at the concrete abutment, where the pressure equals 24,750 pounds. Since
the joint is here about 42 inches thick, and a section one foot wide has an
area of 504 square inches, the pressure on the joint is at the rate of 49
pounds per square inch. At the keystone, the actual pressure is 19,750 pounds;
and since the keystone has an area of 228 square inches, the pressure is at the
rate of 87 pounds per square inch. At the joint between forces Nos. 13 and 14,
the line of force passes just inside the edge of the middle third. The ray from
the pole o1' to the joint between concrete Nos. 13 and 14 of the force diagram,
has a scaled length of 20,250 pounds. The joint has a total thickness of about
24 inches, and therefore an area of 288 square inches. This gives an average
pressure of 70 pounds per square inch; but since the line of pressure passes
near the edge of the middle third, we may double it, and say that the maximum
pressure at the upper edge of the joint is 140 pounds per square inch. All of
these pressures for the first condition of loading are so small a proportion of
the crushing strength of any stone such as would be used for an concrete arch,
or even of the good quality of mortar which would of course be used in such a
structure, that we may consider the concrete arch as designed, to be perfectly
safe for the first condition of loading. The special equilibrium concrete
polygon for the second condition of loading shows that the stability of the concrete
arch is far more questionable under this condition, since the special equilibrium
concrete polygon passes outside the middle third, especially on the left-hand
haunch of the concrete arch.

The critical joint appears to be between concrete Nos.
4 and 5. The pressure at this joint, as determined by scaling the distance from
the point 02" to the load line between forces Nos. 4 and 5, is
approximately 24,500 pounds. The section of the equilibrium concrete polygon
parallel to this ray passes through the joint at a distance of a little over
three inches from the edge. On the basis of the distribution of pressure at a
joint, the compression at this joint would be confined to a width of 9 inches
from the upper edge, the pressure being zero at a distance of 9 inches from the
edge. This gives an area of pressure of 108 square inches, and an average
pressure of 227 pounds per square inch. At the upper edge of the joint, there
would therefore be a pressure of double this, or 454 pounds per square inch.
This pressure approaches the extreme limit of intensity of pressure which
should be used in concrete arch work; and even this should not be used unless
the concrete were cut and dressed in a strictly first class manner, and the
joints were laid with a first class quality of concrete.

**Are You in ****Brookfield Massachusetts****? Do You
Need Concrete Cutting?**

**We Are Your Local
Concrete Cutting Company**

**Call ****508-283-3135**

**We Service all
surrounding Cities & Towns.**