SIMPLE SUPERELEMENT MODEL OF WARPING TRANSFER IN MOMENT CONNECTIONS BETWEEN I SECTIONS
Balint Vaszilievits-Somjen 1* and Jozsef Szalai 2
1 Department of Research, Development and Innovation, KESZ Holding Ltd., Kecskemet, Hungary
2 ConSteel Solutions Ltd., Budapest, Hungary
A simple beam element based modelling technique has been developed to allow the analytic definition of a stiffness matrix to describe the behavior of corner region between two doubly symmetric thin-walled I beams connected through moment connection. The stiffness matrix describes the relation between „out-of-plane” type deformations of connected beam ends and related internal forces including shear force parallel to the flanges, torsion, weak axis bending and warping of flanges. The model allows to simulate the warping and distortion of the beams within the connection region. The resulting stiffness matrix is compatible with the thin walled beam theory with 7DOF beam elements, extended with the ability to consider shear deformations due to bending. The method can be used to for realistic elastic first and second order analysis, linear buckling analysis of such plane structures, where the out-of-plane effects cannot be disregarded and their contribution to the final behavior of the structure are important. Analysis speed compared to other solutions is very efficient due to the use of analytic corner description with compatible 7DOF thin-walled beam elements. The model can be further extended.
7DOF beam finite element; Moment connections; Warping transfer; Linear buckling analysis