Items related to Trusses and Arches, Vol. 1 of 3: Analyzed and Discussed...

Trusses and Arches, Vol. 1 of 3: Analyzed and Discussed by Graphical Methods (Classic Reprint) - Softcover

Charles Ezra Greene

 
9781331967668: Trusses and Arches, Vol. 1 of 3: Analyzed and Discussed by Graphical Methods (Classic Reprint)

Synopsis

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 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.

"synopsis" may belong to another edition of this title.

Product Description

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 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.

"About this title" may belong to another edition of this title.