This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: ... -=3 313 (13-254. Compound Internal Stress of Solids.--Tf a body be conceived to be divided into two parts by an ideal plane traversing it in any direction, the force exerted between those two parts at the plane of division is an internal stress. According to the principles stated in the preceding article, the internal ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: ... -=3 313 (13-254. Compound Internal Stress of Solids.--Tf a body be conceived to be divided into two parts by an ideal plane traversing it in any direction, the force exerted between those two parts at the plane of division is an internal stress. According to the principles stated in the preceding article, the internal stress at a given point in a fluid is normal and of equal intensity for all positions of the ideal plane of division. In a solid body, on the other hand, the stress may be either normal, oblique, or shearing; and it may vary in direction and intensity, as the position of the ideal plane of division varies. 255. Conjugate Stresses--Principal Stresses.--If two planes traverse a point in a body, and the direction of the stress on the first plane is parallel to the second plane, then the direction of the stress on the second plane is parallel to the first plane. Such a pair of stresses are said to be conjugate; and if they are both normal to their planes of application (and consequently perpendicular to each other) they are called principal stresses. Three conjugate stresses, or three principal stresses, may act through one point; but in the present treatise it is sufficient to consider two. Fig. 101 represents a pair of conjugate oblique tensions acting in the direction X X and Y Y through a prismatic particle A B C D. The rectangular directions in which principal stresses--that is, direct pulls and thrusts--act, through a given point in a solid, are called axes of stress. In a fluid, the stress at a given point being of equal intensity in all directions, every direction has the property of an axis of stress. A solid may be in the same condition with a fluid as to stress; but it may also have the principal stresses at a given point of diffe...
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