References

The bibliography for the formulations implemented in SBO and SBX. Titles are kept in the language in which they were published.

Standards

• ABNT NBR 6118 — Projeto de estruturas de concreto — Procedimento (design of concrete structures). The basis of all the design: parabola-rectangle diagram, strain domains, minimum reinforcement, shear Model I and the shear-torsion interaction check.
• ABNT NBR 8681 — Ações e segurança nas estruturas — Procedimento (actions and safety of structures). Partial safety factors.

Reinforced concrete

• FUSCO, P. B. Estruturas de concreto: solicitações normais. Rio de Janeiro: Guanabara Dois, 1981.
• CARVALHO, R. C.; FIGUEIREDO FILHO, J. R. Cálculo e detalhamento de estruturas usuais de concreto armado. São Carlos: EdUFSCar.
• ARAÚJO, J. M. Curso de concreto armado. Rio Grande: Dunas.

Optimisation

• KRAFT, D. A software package for sequential quadratic programming. DFVLR-FB 88-28, Deutsche Forschungs- und Versuchsanstalt für Luft- und Raumfahrt, 1988. — The SLSQP algorithm used by SBX.
• NOCEDAL, J.; WRIGHT, S. J. Numerical optimization. 2nd ed. Springer,
• — Sequential quadratic programming, and why gradient methods are local.

Tools

• SciPy — scipy.optimize.minimize with the SLSQP method, for the optimisation, and scipy.optimize.bisect, for the neutral axis in the non-linear analysis. scipy.org