Beam–column element for non-linear dynamic analysis of steel members subjected to blast loading

This paper addresses an innovative semi-analytical non-discretisation numerical methodology for the non-linear dynamic analysis of steel beam–column elements subjected to loading produced by an explosion. For the mechanical-based formulation, the steel beam–column member is modelled as being restrained at its ends by translational and counterpart rotational springs which simulate semi-rigid joints in a frame. The modelling of the cross-section as comprising of elastic and inelastic domains allows for the spread of yielding to be modelled accurately, whilst the effects of large displacements and the rate-dependent effect of steel material due to rapid dynamic loading is taken into account. The generic steel beam–column element that is developed is shown to agree well with solutions given by finite element modelling using ABAQUS, while providing a computationally superior formulation to that of commercial finite element packages. In addition, it provides a more efficacious formulation to those of conventional plastic zone and plastic hinge methods, while it has the potential to be used as a platform for structural analysis and design in which scenarios of progressive collapse are important.