Excerpt from Trusses and Arches, Vol. 1 of 3: Analyzed and Discussed by Graphical Methods But since, when we draw a triangle for each loaded point, each portion Of the cord will be represented by a Side in two Of the triangles, and since all Of the triangles will have one vertical side, they may be brought together into one figure by the following construction: Draw a vertical line 1 - 2, and lay Off on the same, W1 13, W2 3 - 4, W3 4 - 5, and W, 5 - 2. Draw 1 - 0 parallel to A C, and 2 - 0 parallel to B F; connect the ...
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Excerpt from Trusses and Arches, Vol. 1 of 3: Analyzed and Discussed by Graphical Methods But since, when we draw a triangle for each loaded point, each portion Of the cord will be represented by a Side in two Of the triangles, and since all Of the triangles will have one vertical side, they may be brought together into one figure by the following construction: Draw a vertical line 1 - 2, and lay Off on the same, W1 13, W2 3 - 4, W3 4 - 5, and W, 5 - 2. Draw 1 - 0 parallel to A C, and 2 - 0 parallel to B F; connect the point of intersection O with the other points of division on the vertical line: then will 1 - 0, 3 - 0, 4-0, 5 - 0, and 2 - 0 be equal to the stresses in A C, C D, D E, E F, and F B and the portions of the cord must be parallel to the lines radiating from 0, or otherwise the cord will not be in equilibrium. The figure 0 1 2 is styled by 'many authors the force polygon; but we prefer to call it the stress diagram, from its analogy to the stress diagram Of a frame. The vertical line 1 - 2 will be called the load line; and the cord from A to B, which hangs in what is known as a funicular polygon, we shall have occasion hereafter to designate as the equilibrium or moment polygon. The point 0 is called the pole Of the stress diagram. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... 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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