Influence of torsion on the inelastic response of three-dimensional r.c. frames

Abstract

A three-dimensional reinforced concrete framed building was modelled using finite element method. Two types of elements, the beam-column element and flat shell element were used for modelling the frame and floor slabs, respectively. A computer program has been developed for the analysis of 3D framed building by integrating the finite element and stiffness method. The lumped inelasticity model with three-dimensional point hinges at the ends of the beam-column element was implemented. A yield surface for a reinforced section of the member subjected to simultaneous actions of biaxial bending, torsion and axial forces was evolved. The developed yield surface integrated with the theory of plasticity was used to develop a suitable procedure for inelastic analysis of three-dimensional problems with the floor slab assumed to remain elastic throughout the analysis. The inelastic procedure is able to predict the sequential formation of plastic hinges in the frame members and the continuous deterioration of the stiffness of the frame. A single storey one bay reinforced concrete space frame was analysed for twist loading to study the inelastic response of the reinforced concrete frame. The results indicate that, the consideration of torsion in defining the yielding surface plays a significant role in the inelastic behaviour and estimation of failure load for reinforced concrete frames under torsional loading.

Using multifiber beams to account for shear and torsion

“…One possibility is to stay within the classical beam theory and to use a global formulation taking into account the normal, flexural and torsional interactions [26,27]. This approach allows handling large-scale structures with low computational cost but has the disadvantage of loosing important information on the local level.…”

Analytical Model for Viscous Wall Dampers

“…In order to detect the damage to damper connections during frame vibration, two plastic hinges at the two VWD‐frame connection locations (top and bottom) are defined. The lumped plasticity model has been implemented to predict the inelastic behavior of the reinforced concrete (RC) frame and VWD elements (Thanoon et al., ).…”

Modelling of damage accumulation and failure of structural members subjected to strong seismic actions

“…The function p m 3 ( p 3 ) is taken analogous to (41), while the other functions p m j ( p j ) are taken as constants. The parameters of the function p m 3 ( p 3 ) are found from the relations:…”

“…Material nonlinearity can be taken into account at the level of the cross-section of an element through the relation of total sectional forces to the corresponding generalized strains (see [10,16,17,41], among others). The models of this type are known as stress-resultant models.…”