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Reciprocity of Reactions, Principle of

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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



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