### Abstract

Genetic Algorithms, a relatively new technique of optimization, is used for the optimum design of prestressed concrete beam. Prismatic unsymmetrical I-section girders, simply supported at the ends and subjected to a uniformly distributed load are considered for the optimum design. The total cost to be minimized includes the cost of high strength concrete, high tensile steel and a cost to reflect the cost associated with non-tensioned steel, anchorages, form, labour work, curing, testing etc. as a function of perimeter of the beam. The design problem is formulated as a non-linear mathematical programming problem to satisfy the specifications of IS:1343-1980. The effectiveness of the present method is proved by comparing it with sequential unconstrained minimization technique. Limited parametric studies have been carried out to highlight the influence of various parameters, such as cost coefficients, generation number, crossover probability and mutation probability, on the optimum cost.

Original language | English |
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Pages (from-to) | 167-174+i |

Journal | Journal of Structural Engineering (Madras) |

Volume | 31 |

Issue number | 3 |

Publication status | Published - 01-10-2004 |

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### All Science Journal Classification (ASJC) codes

- Architecture

### Cite this

*Journal of Structural Engineering (Madras)*,

*31*(3), 167-174+i.

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*Journal of Structural Engineering (Madras)*, vol. 31, no. 3, pp. 167-174+i.

**GA based optimum design of prestressed concrete beam.** / Sabhahit, N.; Hegde, Chetan.

Research output: Contribution to journal › Article

TY - JOUR

T1 - GA based optimum design of prestressed concrete beam

AU - Sabhahit, N.

AU - Hegde, Chetan

PY - 2004/10/1

Y1 - 2004/10/1

N2 - Genetic Algorithms, a relatively new technique of optimization, is used for the optimum design of prestressed concrete beam. Prismatic unsymmetrical I-section girders, simply supported at the ends and subjected to a uniformly distributed load are considered for the optimum design. The total cost to be minimized includes the cost of high strength concrete, high tensile steel and a cost to reflect the cost associated with non-tensioned steel, anchorages, form, labour work, curing, testing etc. as a function of perimeter of the beam. The design problem is formulated as a non-linear mathematical programming problem to satisfy the specifications of IS:1343-1980. The effectiveness of the present method is proved by comparing it with sequential unconstrained minimization technique. Limited parametric studies have been carried out to highlight the influence of various parameters, such as cost coefficients, generation number, crossover probability and mutation probability, on the optimum cost.

AB - Genetic Algorithms, a relatively new technique of optimization, is used for the optimum design of prestressed concrete beam. Prismatic unsymmetrical I-section girders, simply supported at the ends and subjected to a uniformly distributed load are considered for the optimum design. The total cost to be minimized includes the cost of high strength concrete, high tensile steel and a cost to reflect the cost associated with non-tensioned steel, anchorages, form, labour work, curing, testing etc. as a function of perimeter of the beam. The design problem is formulated as a non-linear mathematical programming problem to satisfy the specifications of IS:1343-1980. The effectiveness of the present method is proved by comparing it with sequential unconstrained minimization technique. Limited parametric studies have been carried out to highlight the influence of various parameters, such as cost coefficients, generation number, crossover probability and mutation probability, on the optimum cost.

UR - http://www.scopus.com/inward/record.url?scp=6344293871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6344293871&partnerID=8YFLogxK

M3 - Article

VL - 31

SP - 167-174+i

JO - Journal of Structural Engineering (Madras)

JF - Journal of Structural Engineering (Madras)

SN - 0970-0137

IS - 3

ER -