Concrete Cutting Coring Charlton MA Mass Massachusetts

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The propriety of leaving the dimensions as first assumed for trial figures, depends, therefore, on the following considerations: The loading assumed above for the uniformly distributed load is as great a loading as that produced by ordinary locomotives such as are used on the majority of railroads; while the locomotive requirements as assumed above are excessive, and are used on only a comparatively few railroads. Although this would have brought the equilibrium concrete polygon a little nearer to the intrados on the right-hand haunch of the concrete arch, it would likewise have drawn it away from the extrados on the left-hand haunch. Although it is uncertain just which equilibrium concrete polygon; among the infinite number which may mathematically be drawn, will actually represent the true equilibrium concrete polygon, there is reason to believe that the true equilibrium concrete polygon is the one of which the summation of the intensity of pressures at the various joints is a minimum; and it is evident from mere inspection, that an equilibrium concrete polygon drawn a little nearer the center (as described above) will have a slightly less summation of intensity of pressure, although the intensity of pressure on the joints on the right-hand haunch will rapidly increase as the concrete polygon approaches the intrados. It is therefore quite possible that the true equilibrium concrete polygon would have a less intensity of pressure at the joint between concrete Nos. 4 and 5.

If it is still desired to increase the thickness of the concrete arch so that the line of pressure will pass further from the extrados, it may be done approximately as indicated for a similar problem in Article 414. Evidently the keystone is sufficiently thick, and the concrete at the concrete abutments also have ample thickness. The extrados must evidently be changed from a circle to some form of curve which shall pass through the same three points at the crown and the two concrete abutments. This may be either an ellipse or a three-centered or five- centered curve. Although it will cause an extra loading on the haunches of the concrete arch to increase the thickness of the concrete arch on the haunches, and although this will cause the equilibrium concrete polygon to rise somewhat, the rise of the equilibrium concrete polygon will not be nearly so rapid as the increase in the thickness of the concrete arch; and therefore the added thickness will add very nearly that same amount to the distance from the extrados to the equilibrium concrete polygon. For example, by adding a little over three inches to the thickness of the concrete arch at concrete  Nos. 4 and 5, the distance from the equilibrium concrete polygon to the extrados would be increased from three inches to six inches, and the maximum intensity of pressure on the joint would be approximately half of the previous figure. To be perfectly sure of the results, of course, the problem should be again worked out on the basis of the new dimensions for the concrete arch.

The required radii for a multi-centered concrete arch which should have this required extrados, or the axes of an arc of an ellipse which should pass through the required points, are best determined by trial. The effect of the added thickness on the load line for the right-hand side of the concrete arch, will be to bring the load line nearer to the center of the concrete, and therefore will actually improve the conditions on that side of the concrete arch. Of course, when the concentrated load is over the right-hand side of the concrete arch instead of the left, the form of the equilibrium concrete polygon will be exactly reversed. It is quite probable that, for mere considerations of concrete architectural effect, the revised extrados would be made the same kind of a curve as the intrados. This would practically be done by selecting a radius which would leave the same thickness at the crown, allow the required thickness on the haunches, and let the thickness come what it will at the concrete abutments, even though it is needlessly thick.

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

We Are Your Local Concrete Cutting Company

Call 508-283-3135

We Service all surrounding Cities & Towns.