Lattice-based architected materials are gaining significant attention due to their open porosity and potential to offer multifunctional properties. Despite resembling truss-like networks, it has been shown that the geometry of the connections (joints) can play an important role in determining mechanical response. This potentially makes computationally efficient truss and beam modelling insufficient. In contrast, solids-based finite element modelling may offer improved predictions of response but at much larger computational costs. To address these challenges, we present an approach to modelling lattice materials that attempts to capture detailed joint response while leveraging the computational efficiency of beam elements. Classical reduction-based methods are used and combined with geometry generation and meshing tools. The approach is evaluated for various lattice topologies and results are compared to those found when using a high-fidelity simulation with solid finite elements.