The governing equations of the bending design of arbitrarily shaped steel fibre reinforced concrete sections are formulated in the form of an optimisation problem in order to calculate the minimum required bar reinforcements at given positions in the sections. Stress-strain-relations derived from the σ-ε-design method model load-bearing effects of steel fibres. The optimisation problem is numerically solved using a Generalized Reduced Gradient algorithm and numerical integrations to determine the sectional forces of the resistance. The method is applied to the designs of slabs and girders. Therefore, stress-strain-relations recommended by the RILEM TC 162-TDF and an alternative, simplified approach are assumed.
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