In the current work, we present a planar elastoplastic finite element model for the simulation of the mechanical response of helical constructions to traction loads. We elaborate a numerical scheme that employs a detailed description of the helical geometry and characterizes its coupled axial and torsional response. We validate the modelling results with well-established three-dimensional (3D) finite element schemes. For the validation, a single layer helical strand with different construction parameters is employed. Additional analysis is carried out to highlight the role of hardening, providing useful insights in the effect of loading history on the structure’s macroscopic elastoplastic response. Overall, a low computation cost elastoplastic modeling scheme, suitable for large-scale structural analysis of helical constructions is presented.