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.
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Paperback. Condition: New. Print on Demand. This book is an 1878 text offering a concise study of analytical methods in designing bridges and arches. The author, a prominent engineer and educator, sought to simplify the process of analyzing forces using graphical constructions as an alternative to mathematical calculations. Graphical analysis in bridge-building was first printed in 1874 by the author himself. Here, he expands on and corrects that work, offering a more thorough explanation of the relative simplicity of these graphical constructions compared to traditional mathematical methods. The text also provides a method for drawing diagrams to determine the stresses in bridge trusses created by a moving load. The result is a simplified and economical process for designing and analyzing the strength of arches and bridges, providing engineers with a valuable tool. This book continues to be of interest to researchers and historians in the field of structural engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781331967668_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331967668
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331967668
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 212 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 26032614/2
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