Reliable design of textile-reinforced concrete (TRC) structures depends on accurate characterization of the material’s behavior. The performance of TRC is governed primarily by its tensile response. A flexural test can serve as an effective alternative to direct tension testing. This work presents a closed-form analytical moment-curvature model for TRC that enables both forward and inverse analysis. Using this approach, tensile stress-strain curves are back-calculated from flexural test data. A MATLAB-based, graphical user interface (GUI) software was developed to assist researchers in extracting the tensile model of TRC materials and performing forward simulations for design and analysis. The model allows the extraction of tension and compression stress-strain responses, force carried by each component as a function of the changing neutral axis, and the evolution of stress and strain distribution with increasing deflection. The extracted constitutive model can further be applied to assess long-term and time-dependent effects such as fatigue, creep, shrinkage, and prestressing, and to perform limit state analysis of beams and columns. The tool has been validated against experimental results from multiple TRC systems. Designs based on back-calculated material properties are also compared with the performance of structural beams, demonstrating the model’s scalability and design applications.