Concrete Cutting Coring Athol MA Mass Massachusetts

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Concrete Sawing Athol Mass

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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.