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Concrete Cutting Coring Athol MA Mass MassachusettsWelcome
to ConcreteCutting1.Com “We
Specialize in Cutting Doorways and Windows in Concrete Foundations” Are You in Athol Massachusetts? Do You
Need Concrete Cutting? We Are Your Local
Concrete Cutting Company Call 508-283-3135 We Service all
surrounding Cities & Towns. Concrete
Cutting Athol MA Concrete
Cutter Athol MA Concrete
Coring Athol MA Core
Drilling Athol MA Concrete
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Sawing Athol Mass Concrete
Cutting Athol Mass Concrete
Cutter Athol Mass Core
Driller Athol MA Core
Drilling Athol Mass We Perform Concrete
Cutting, Sawing, Core Drilling and Coring in Athol. The
cross section abode has been assumed as the cross-section of solid masonry for
the concrete abutment. The problem therefore consists in finding the amount and
line of action of the force representing the weight of the concrete abutment.
It will be proved that this force passes through the point o, and it therefore
intersects the pressure on the concrete abutment for the first time. On the
vertical line, we lay off a distance equal to o1o2. By joining the lower end of
this line with the right-hand end of the line al, and then drawing a parallel
line from the point, we have divided the distance o1o2 into two parts which are
proportional to the two altitudes. Lying off the shorter of these distances
toward the triangle (since its greater altitude shows that it has the greater
area), we have the position of 03 which is the center of gravity of the two concrete
triangles combined. The area is measured by one-half the product and the sum. The
triangle is measured by one-half the product of the base by the altitude. If we
lay off be as a vertical line in the side diagram, and also the line as a
vertical line, and join the lower end with the line which represents the sum,
and then draw a line from the lower end of be, parallel with this other line,
we have two similar concrete triangles from which we may write the proportion. Since
the product of the means equals the product of the extremes, we find that the
equation and the combined area of the two concrete triangles, and therefore the
line is the height of an equivalent triangle whose base equals; therefore the
area of these two combined concrete triangles is to the area of the triangle as
the equivalent altitude is equal to the altitude of the triangle. By bisecting
the base, and drawing a line from the bisecting point to the point c, and
trisecting this line in the point O4 we have the center of gravity of the
triangle. The center of gravity of the entire area, therefore, lies on the line
0304, and at a distance from 04 which is inversely proportional to the areas of
the two combined concrete triangles and the triangle ode. These areas are
proportional to the altitudes as determined above; therefore, by laying off in
the side diagram the line 0304, and drawing a line from its lower extremity to
the right-hand extremity of the line, and then drawing a parallel line from the
point between, we divide the line 0304 into two parts which are proportional to
these altitudes. The line is the greater altitude, and the triangle ode has the
greater area; therefore the point 05 is nearer to the point 04 than it is to
the point 0, and the shorter of these two sections is laid off from the point
04• This gives the point o, which is the center of gravity of the entire area
of the concrete abutment. The actually computed weight of a unit-section of the
concrete abutment is determined by multiplying the sum by the base shown. Since
this masonry is assumed to weigh 160 pounds per cubic foot, the product of
these scaled distances, measured at the scale of i-
inch equals one foot (which was the scale adopted for the original drawing),
shows that the section one foot thick has a weight of 19,500 pounds. Laying off
this weight from the point le, and laying off the pressure for the first
condition of loading, 16,350 pounds, at the scale of 5,000 pounds per inch, and
forming a parallelogram on these two lines, we have the resultant of 31,350
pounds as the pressure on the base of the concrete abutment, that pressure
passing through the point m. The intersection of the weight of the concrete
abutment with the line of pressure for the third condition of loading, is a
little below the point k; and we similarly form a parallelogram which shows a
resulting pressure of 33,600 pounds, passing through the base at the point n. Are You in Athol Massachusetts? Do You
Need Concrete Cutting? We Are Your Local
Concrete Cutting Company Call 508-283-3135 We Service all
surrounding Cities & Towns. |