A Note on the Shear Center.

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  • せん断中心に関する一考察
  • センダン チュウシン ニ カンスル イチ コウサツ

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Abstract

Every beam cross-section possesses a point through which transverse forces may be applied so as to produce bending only with no torsion of the beam.This point is called the shear center. In this study, the problems of coupled shearing and torsional were analyzed by using the finite element method. Namely, the simultaneous equations with respect to the warping, shear deflection, angle of torsion and Lagrange's multipliers are derived by finite element approximation.Solving them numerically, the matrix of the shearing rigidity and torsional rigidity is obtained.This matrix indicates the coupled shearing and torsional deflection.The shear center can be obtained determining the coordinate axes so as to eliminate the nondiagonal terms.

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