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Example text

It is proper, however, to ask for the state of stress at B, where in this case we imply that our description makes it possible to determine the stress on every plane passing through this point. 3 it will be shown that the specification of the state of stress is, in general, complete if we know the stress on two given planes passing through the point (in the two-dimensional case). In other words, two stress vectors (on two different planes) must be given in order that the stress vector on any plane through a given point be known.

11. We plot the two points corresponding to the stresses on the x and y planes, keeping the convention for the representation of shear stress in mind. The two points are connected by a straight line, which is the diameter of the circle, and the intersection of this line with the σ axis is the center of the circle. The two points just plotted are labeled x and y, respectively. Then the stress components on any plane are found by measuring twice the angle between x or y and the normal to the plane, in the same direction, on the Mohr circle and evaluating the ordinate and abscissa at this point.

Each year Dover publishes over 500 books on fine art, music, crafts and needlework, antiques, languages, literature, children’s books, chess, cookery, nature, anthropology, science, mathematics, and other areas. A. Copyright © 1967 by D. Van Nostrand Company, Inc. All rights reserved under Pan American and International Copyright Conventions. , 30 Lesmill Road, Don Mills, Toronto, Ontario. This Dover edition, first published in 1992, is an unabridged, corrected republication of the work first published by the D.

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