Consistent matrices for steel framed structures with semi-rigid connections accounting for shear deformation and rotary inertia effects

ÖZEL H. F., SARITAŞ A., Tasbahji T.

ENGINEERING STRUCTURES, vol.137, pp.194-203, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 137
  • Publication Date: 2017
  • Doi Number: 10.1016/j.engstruct.2017.01.070
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.194-203
  • Keywords: Steel structures, Finite element method, Semi-rigid connection, I-shaped steel sections, Shear deformation, Rotary inertia, Consistent matrices, Vibration, DYNAMIC-ANALYSIS, FLEXIBLE CONNECTIONS, PORTAL FRAMES, BEAM, FLEXIBILITY, VIBRATION, ELEMENT
  • Middle East Technical University Affiliated: Yes


Estimation of vibration characteristics and thus the seismic loads acted on steel framed structures are influenced by the presence of semi-rigid connections and accurate modeling of shear deformations and rotary inertia effects. This paper presents a finite element model that takes into account all these effects in order to calculate consistent stiffness and mass matrices. The formulation of the element utilizes three fields Hu-Washizu-Barr principle, where the need for displacement shape function approximation is eliminated through the use of force-based approach. The proposed model does not require extra discretization to capture localized connection response. An accurate shear correction coefficient for I shaped steel sections is implemented to represent shear deformation and rotary inertia along steel beams and columns. Numerical examples on single member, portal frame and multi-story steel framed structures verify the accuracy and robustness of the proposed element with and without semi-rigid connections. (C) 2017 Elsevier Ltd. All rights reserved.