The contribution at hand entails the introduction of a newly developed element formulation in the framework of the finite element method, designed to couple a 1D line element with a 3D tetrahedral element, enabling the modeling of 1D fibers embedded in a 3D concrete matrix. To facilitate testing of the element formulation, a custom mesh generator with an integrated sorting algorithm has been developed. The current capabilities of the model are demonstrated, suggesting that modeling embedded fibers with 1D line elements is a suitable approach for attempting to efficiently represent fiber-reinforced concrete in a computational setting.