Abstract

The stiffness matrix of a thin‐walled open‐section element including the effect of shear strains due to warping is presented. Closed form expressions for the stiffness coefficients are obtained for the case of negligible uniform torsion stiffness; an iterative procedure, based on a compatibilization scheme, is presented for the case when both uniform torsion and warping shear deformations are considered. The proposed element can be used for modeling core shear walls in multistory buildings and is suitable for implementation in a computer program based on the direct stiffness method. Two simple examples of multistory core wall structures are presented to assess the effect of uniform torsion stiffness and warping shear deformation on dynamic torsional behavior.

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