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Excerpt from Proceedings of the Royal Irish Academy, 1921-1924, Vol. 36: Section A; Mathematical, Astronomical, and Physical Science The loads are expressed in half tons, so that the total load shall be numerically equal to the span. The three parabolic loci are segments of the same parabola, and from the above equality its modulus is unity; that is, the height of any point on the parabola above the base of a segment equals the product of the two parts into which its base is divided by a perpendicular dropped upon. It. We can now replace these segments by semicircles, when we have a locus of the square roots of maximum bending moments. The locus near the ends completely changes as the wheels leave the span. For the purposes of this paper, we aesume that the girder overhangs its two supports, and now the locus between the supports is complete. This is shown on fig. 3. Here the two wheels equally share the load. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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