Non-metallic textile reinforcement systems incorporating basalt, alkali-resistant (AR) glass, carbon, or natural fibers have emerged as promising alternatives to traditional steel-reinforced concrete. These materials enable the development of lightweight, corrosion-resistant, and durable structures while offering a sustainability solution for the construction industry. This paper introduces a comprehensive analysis model to predict the uniaxial, biaxial, and flexural response of textile reinforced concrete (TRC) sections. The proposed framework employs classical laminate theory to evaluate global stiffness and strength based on the stacking sequence of textile layers, each modeled as an orthotropic lamina under plane-stress conditions. A strain-based damage model is incorporated to simulate matrix stiffness degradation due to progressive cracking, while the Tsai–Wu failure criterion is used to identify failure initiation within individual layers. Global stiffness is updated at each incremental strain step to capture the evolution of damage throughout the section, enabling prediction of the complete load-deflection response. This analytical framework provides a robust tool for evaluating the structural behavior of TRC sections under combined stress states, particularly in quantifying stiffness degradation as damage accumulates in successive layers. The proposed methodology contributes to advancing sustainable design strategies for cementitious composites in both structural applications and retrofitting scenarios.