Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (4): 507-520.

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ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY

Chang Fo-van   

  1. Qinghua University, Beijing
  • Received:1982-01-06 Online:1982-07-18 Published:1982-07-18

Abstract: Kirchhoff’s thin plate theory is used to solve the restricted torsion of narrow rectangular cross section as this problem is equivalent to the bending of a rectangular cantilever plate by a twisting moment at the free end. The results obtained not only prove the angle of twist obtained by Prof. Timoshenko using the energy method put give us stresses.

Key words: variational inclusion, accretive mapping, Mann(Ishikawa) iterative sequence with errors

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