Deployable structures using tape-springs are a promising option to minimize the volume occupied by satellites at launch and reduce launching costs. The attractive characteristics of tape-springs made of ultra-thin woven composites are their high specific stiffness and bi-stable behavior. However, the most important shortcoming is the complexity of their mechanical analysis. Textile composites are formed by the weaving of bundles of fibers creating a very complex microstructure, and tape-springs present a highly nonlinear mechanical behavior subjected to multi-axial loadings. Therefore, conventional mechanical models developed for unidirectional lamina no longer apply since they do not take into account stress gradient effects through the representative volume element (RVE). In this work, a multi-scale approach is validated to predict the failure initiation of tape-springs. Micromechanical models are used to predict analytically the stiffness properties of the fiber bundles, while FE mesoscale models describe the woven structure and provides stiffness and strength properties for computations on macroscale. A case study of hybrid laminates composed of woven and unidirectional layers is analyzed for its application on tape-springs. Manufacturing defects related to ply waviness of the UD layer have been detected and taken into account to estimate the reduction of the overall stiffness properties. Finally, a dedicated failure criteria based on the force and moment resultants have been used to predict failure initiation of the tape-springs under multi-axial loading conditions. A good correlation was found between the finite element analysis and experimental observations.