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A set of closed form equations for flexural design of fiber-reinforced concrete are presented. These equations are based on simplified tensile and compressive constitutive response and may be used in a limit state approach or serviceability-based criterion that limits the effective tensile strain capacity. The equations allow generation of flexural moment-curvature response of a rectangular beam section for use in structural analysis calculations in addition to design charts for strain softening fiber-reinforced concrete. To prevent sudden failure after flexural cracking and to control crack width, equations for minimum post-crack tensile strength are also proposed. The analytical tensile strain equations proposed for serviceability limit the average crack width of structural members. In addition, the bilinear moment-curvature model is used in conjunction with geometrical relationship between curvature and deflection to determine short-term deflections of structural members. An example of a one-way slab demonstrates the calculation steps. [ABSTRACT FROM AUTHOR]

The study presents a closed-form computational solution for moment-curvature response of cement-based composite beams with uniformly distributed reinforcement. The model aims to aid in computing for loading flexural beams by examining tensile and compressive stress-strain responses as a function of each linear and quadratic segments of the beams. Tensile stiffness from the first cracking to the ultimate tensile strength and ultimate tensile strain were determined as the most important parameters in studying moment-curvature responses.