Reciprocity of Reactions, Principle of

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Reciprocity of Reactions, Principle of

 

(also called Rayleigh’s Theorem), a property of a body that is being linearly deformed that follows from the principle of reciprocity of work; it consists in the fact that the reaction rki that arises in link k when link / shifts by a unit in its own direction is equal to the reaction rik in link / when link k shifts by a unit in its own direction—that is, rki= rik. The principle of reciprocity of reactions is used in strength of materials and structural mechanics in the calculation of statistically undefinable systems by the method of displacements.

L. V. KASAB’IAN

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.