In order to evaluate average shear stiffness of beams, it is necessary to restrain the rigid body rotation and to give them shear deformation properly. The constraint of the rigid body rotation making use of the regression plane, which is proposed previously, is valid only for the beams with heterogeneity only in the cross-section. However, no study on effective shear stiffness of beams with axially heterogeneity heve been reported. In this context, we propose a new restraint method of the rigid body rotation applicable for axially heterogeneous beams and show the feasibility of the method for evaluation of the effective shear stiffness.

Key Words : hogenization method, Timoshenko beam, shear stiffness, rigid body rotation

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