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Matlab Programming for Optimization of Reinforced Concrete Beams and Columns

A. G. Chandurkar, P. M. Alandkar


Optimization is the process of obtaining the best results under certain circumstances. The objective of this study is to minimize the total cost of beams and columns including material cost and cost of formwork subjected to the serviceability and strength requirements described by IS 456-2000 code. The non-linear programing algorithms and the MATLAB codes for the optimization of cross-section of reinforced concrete beams and columns implementing one of the classical methods of optimization, Sequential Quadratic Programming (SQP) are developed in this study. The design procedure conforms to the IS 456-2000. Examples are presented that demonstrate the ability of this formulation to achieve optimal designs in less time and minimum complexity.

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Kaveh and O. Sabzi (2011), “A comparative study of two meta-heuristic algorithms for optimum design of reinforced concrete frames”, Int. J. of Civil Engg., Volume 9, Issue 3, pp. 193-206 Available at:

K. Chakrabarty (1992), “Models for optimal design of reinforced concrete beams”, Compu. & Struct., Volume 42, Issue 3, pp. 447-451, Available at:

IS: 456 (2000), “Code of practice for plain and reinforced concrete”, Bureau of Indian Standards, New Delhi, Available at:

H.T. Ozturk, Ay. Durmus and Ah. Durmus (2012), “Optimum design of a reinforced concrete beam using artificial bee colony algorithm”, Compu. and Concrete, Volume 10, Issue 3, pp. 295-306, Available at:

Hyo-Gyoung Kwak and Jieun Kim (2008), “Optimum design of reinforced concrete plane frames based on predetermined section database”, Computer-Aided Design, Volume 40, Issue 3, pp. 396–408, Available at:

M. J. Esfandiari, G. S. Urgessa, S. Sheikholarefin and S. H. Dehghan Manshadi (2018), “Optimization of reinforced concrete frames subjected to historical time-history loadings using DMPSO algorithm”, Struct. and Multidiscipli. Optimiz., Volume 58, Available at: 10.1007/s00158-018-2027-y.

Merta, A. Kolbitsch and S. Kravanja (2010), “Cost optimization of reinforced concrete beams”, 6th Int. Conf. Concr. under Severe Conditions Environment & Loading, Available at: publication/282132306_Cost_Optimization_of_Reinforced_Concrete_Beams.

Richard J. Balling and Xiaoping Yao (1997), “Optimization of reinforced concrete frames”, J. of Struct. Engg., Volume 123, Issue 2, Available at: 1061/%28ASCE%290733-9445%281997%29123%3A2%28193%29.

S. S. Rao (1979), “Engineering optimization: Theory and Practice”, Willey, 813p, Available at: 0149281833165301436305785.pdf.

S. Rajeev and C. S. Krishnamoorthy (1998), “Genetic algorithm–based methodology for design optimization of reinforced concrete frames”, Computer-Aided Civil and Infra. Engg, Volume 13, pp. 63–74, Available at:

Sonia Chutani and Jagbir Singh (2017), “Design optimization of reinforced concrete beams”, J. of the Institu of Engin. (India), Volume 98, pp. 429-435.

V. Govindaraj and J. V. Ramasamy, 2007, Optimum detailed design of reinforced concrete frames using genetic algorithms”, J. of Engg. Optimiza., Volume 39, Issue 4, pp. 471–494, Available at: https://www.tand


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