Estimation of the bending stiffness of rectangular reinforced concrete beams made of steel fibre reinforced concrete

A method of calculating the location of the neutral axis of a rectangular steel fibre reinforced concrete cross section before and after cracking, and its moments of inertia relative to this axis is proposed. Moreover, the method of calculating the cross section's geometrical characteristics for both the cracked stage and the uncracked stage is based on a model of fibres distribution along the length of the beam. Consequently, two algorithms for estimating the immediate and long-term deflections of steel fibre reinforced concrete beams are proposed. One of the algorithms is for uncracked beams and the other for cracked beams. The algorithms have been positively experimentally verified.