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The Reciprocal Theorem Method for Applied Mechanics
Author(s) -
Tanimoto B.
Publication year - 1961
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19610410502
Subject(s) - reciprocal , mathematics , bending , matrix (chemical analysis) , matrix method , classical mechanics , mathematical analysis , calculus (dental) , physics , materials science , philosophy , optics , linguistics , composite material , thermodynamics , medicine , dentistry
The bending of beams and plates is treated by the extended use of the reciprocal theorem of Maxwell and Betti. This new method expels simultaneous equations to be encountered in the ordinary method of analysis. In the case of plates, the use of transposed matrix is especially efficient.