Concrete Cutting Coring Boylston MA Mass Massachusetts

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Their intersection at the point e gives a point in the line of action of the resultant of the whole system of forces and by drawing from the point e a line parallel to R2 of the force diagram; we have the line of action. We select a point at random on the resultant, and join the point with the center of each concrete abutment. By drawing lines from the extremities of the load line parallel to these two lines from f, they intersect at the point o". A horizontal line through 02" is therefore the locus of the pole of the true equilibrium concrete polygon passing through the center of both concrete abutments. The line in intersects R2' in the point g, and the line fm intersects the force 1?2" in the point h. The intersection with the vertical through the center (the point i) is the trial point which must be raised up to the point c, which is done by the method illustrated in Article 401. The application of this method gives the line, passing through c; and the line in is therefore the first line of the special equilibrium concrete polygon for the complete system of forces and the line is similarly the last line of that concrete polygon.

By drawing lines from the extremities of the load line, parallel to in and km, we find that they intersect at the point which is the pole of the special equilibrium concrete polygon passing through n, c, and m, for the complete system of forces. As a check on the work, the intersection of these lines from the ends of the load line, parallel to the adjacent line, must be on the horizontal line passing through. By drawing rays from the new pole 02" to the load line, and completing the special equilibrium concrete polygon, we should find as a double check on the work, that both of these partial concrete polygons starting from m and n should pass through the point c; and also that the section of the concrete polygon between forces Nos. 8 and 9 lies on the line. This gives the special equilibrium concrete polygon for the system of forces Nos. 1 to 17, which corresponds with the second condition of loading, as specified above. The first condition of loading is given by duplicating about the center, in the force diagram, the system of forces from No. 17 to No. 9 inclusive. Since this system of forces is symmetrical about the center, we know that its resultant R1 passes through the center of the concrete arch, and that it must be a vertical force. We may draw from the middle of force No. 9 a horizontal line, and also draw a vertical from the lower end of the load line.

Their intersection is evidently at the center of the resultant R1, which is therefore carried above this horizontal line for an equal amount. Joining the upper end of R1 with the upper end of force No. 9, we have the direction and amount of the force R2". The intersection with the force R1 at the point j, gives a point which, when joined with the point m, gives one line of a trial equilibrium concrete polygon passing through the required points m and n, but which does not pass through the required point c. The intersection with the force R1" at the point p, gives us the line which is the same kind of line for this trial concrete polygon as the line hg was for the other. By a similar method to that used before and as described in detail in Article 401, we obtain the line passing through c, which gives us also the section of our true equilibrium concrete polygon between forces. The line also gives us that portion of the true equilibrium concrete polygon for this system of loading, from the point n up to the force. By drawing a line from the lower end of the load line, parallel to nr, until it intersects the horizontal line through the middle of force No. 9 at the point o1', we have the pole of the special equilibrium concrete polygon for this system of loading, which is the first condition of loading.

Are You in Boylston Massachusetts? Do You Need Concrete Cutting?

We Are Your Local Concrete Cutting Company

Call 508-283-3135

We Service all surrounding Cities & Towns.