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The behavior of dry fibers is a key component in modeling composite materials. However, it can become very expensive in computation time to model each individual filament. We propose here a new multi-scale method featuring beam elements embedded in truss elements. Truss elements are used to model contact responses and traction while beams elements are used to characterize flexion. This approach is compared to three different models using truss elements only, beam elements only, and a reference case. The reference case is also validated by experimental results of a glass braid being extended to drape over a square mandrel. The embedded element cumulative error on estimation of the deformed braid angle, thickness and length compared to the reference case is lower than their pure truss and pure beam models, while being 8 times faster than the reference case. • Textile are modelled at the fiber level using chains of finite elements. • Fiber behavior is modelled using beam elements embedded in truss elements. • A biaxial braid conforming to a square mandrel is modelled. • Accuracy of textile modelling is improved while being 8 times faster. [ABSTRACT FROM AUTHOR]