Optimum design of reinforced concrete sections

Prakash, Anand; Agarwala, S.K.; Singh, Khushboo

doi:10.1016/0045-7949(88)90142-3

Cited by 35 publications

(13 citation statements)

References 1 publication

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“…Over the last two decades, studies on the design optimization of granular-solid prismatic beams have received considerable attention. Prakash et al (1988); Ezeldin (1991); Quiroga and Arroyo (1991); Erbatur et al (1992); Al-Gahtani et al (1995); ; Lepš and Šejnoha (2003); Barakat et al (2003); Govindaraj and Ramasamy (2005) and Kwak and Noh (2006) attempted to seek optimal shape of beam cross-sections. They highlighted the potential savings in material, either directly or indirectly through various optimization techniques analogous to shape and sizing methods.…”

Section: Introductionmentioning

confidence: 98%

Design optimization of consolidated granular-solid polymer prismatic beam using metamorphic development

Ngim

Liu

Soar

2009

International Journal of Solids and Structures

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a b s t r a c tTopologically optimized granular-solid structures from additive manufacturing processes have impending applications as lightweight load bearing structures. To facilitate application, a procedure for characterizing optimal structural performance is devised for the design optimization of 'end-use' functional structures. An approach capable of realizing this objective is presented and demonstrated for horizontal prismatic beams produced from Nylon-12 granular-solid polymer, by Selective Laser Sintering (SLS). It combines topology (or layout) optimization, calibration of material parameters, and finite element (FE) modelling. The metamorphic development (MD) method forms the basis of an adaptive growth and degeneration optimization by material distribution approach. Experimental measurements are used to calibrate a bimodulus constitutive Drucker-Prager (D-P) model. Simply-supported three-point bending (3PB) tests are used to assess the fidelity of optimized beams on the basis of numerically predicted performance.

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Section: Introductionmentioning

confidence: 98%

Design optimization of consolidated granular-solid polymer prismatic beam using metamorphic development

Ngim

Liu

Soar

2009

International Journal of Solids and Structures

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“…Kirsch [4]presented iterative procedure in three levels of optimization for minimizing the cost of continuous girders with rectangular cross section, in which the total amount of the reinforcement is minimized at the first level, cross-sectional dimension are minimized at the second level, while the third level of optimization iz minimizing the design moments. Lakshmanan and Parameswaran [5]derived a formula for direct determining of optimal span to cross-sectional depth ratio so the iterative trial and error procedure can be avoided, while Prakash et al [6] based their cost-minimization method on Lagrangian and simplex methods. Kanagasundaram and Karihaloo [7,8] introduced thecrushing strength of concrete as an additional variable along with cross-sectional dimensions and steel ratio to optimize the cost of simply supported and multi-span beamswith rectangular and T-sections using sequential linear programming and convex programming.Chakrabarty [9,10] presented cost-optimization method for rectangular beams using the geometric programming andNewton-Rapson method, while Al-salloum and Siddiqi [11]proposed optimal design of singly reinforced rectangular beams by taking the derivatives of the augmented Lagrangian function with respectto the area of steel reinforcement.Coello et al [12] proposed the cost optimal design of singly reinforced rectangularbeam using Genetic Algorithms by considering crosssectional dimensions and the reinforcement area asvariables.…”

Section: Technical Sciences 2013 9(1) 53-60mentioning

confidence: 99%

Optimal Structural Design of Reinforced Concrete Structures – Review of Existing Solutions Considering Applicability Aspect

Milajić¹,

Pejičić²,

Beljaković³

2013

AFST

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During the past two decades, rapid advances in information technology have improved the accuracy and capabilities of optimization techniques. Unfortunately, great number of optimization methods in civil engineering has not found implementation in practice, mainly because the problems were treated only from mathematical point of view, disregarding applicability of obtained solutions in reality. Since the aim of any optimization method is developing methodology that would successfully imitate human reasoning, it is necessary to develop adequate approach that would obtain realistic and applicable solutions. This paper provides basic facts of the optimal reinforced structures design, problem classification, mathematic definition and applicability aspect, as well as preview of methods and references available in the literature.

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“…En [5] se han aplicado métodos de optimización con criterios múltiples a problemas de diseño de vigas. Asimismo, en [6] propusieron un modelo para optimizar el diseño de secciones de concreto reforzado en el cual consideraron los costos del acero, el concreto y el recubrimiento.…”

Section: Introductionunclassified

Implementación de algoritmos genéticos para el diseño, optimización y selección de vigas

Castillo¹,

Lara²,

Cruz³

et al. 2017

RCS

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Resumen. En este trabajo se presenta la utilización de heurísticas para apoyar al diseño de sistemas mecánicos, como una propuesta de metodología de diseño robusta. Se emplearon los algoritmos genéticos en el diseño, optimización y selección de vigas utilizando la metodología de diseño paramétrico, que ayuda a variar las dimensiones (parámetros) de las secciones transversales de las vigas de estudio, con el fin de optimizarlas para soportar cargas específicas sin fracturarse. Los resultados experimentales conllevan a que este tipo de implementaciones son de gran utilidad para resolver problemas de optimización numérica en el diseño y selección de vigas para diversas aplicaciones.Palabras clave: algoritmos genéticos, optimización, diseño paramétrico, selección de vigas.Abstract. In this paper, the use of heuristic techniques to support the design of mechanical systems is outlined as a proposal for a robust-design methodology. Genetic algorithms were used in the design, optimization, and beams selection for a series of applications using parametric-design methodology, which help vary the dimension or parameters of the studied beams cross sections, so that the area could be optimized applying a specific force without fracture the beam. The experimental results suggest that these types of implementations are of great help when solving numeric-optimization problems in the design of mechanical systems, as well as in the areas of beams enhancement and selection for specific applications, such as the presented case study.

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Optimum design of reinforced concrete sections

Cited by 35 publications

References 1 publication

Design optimization of consolidated granular-solid polymer prismatic beam using metamorphic development

Design optimization of consolidated granular-solid polymer prismatic beam using metamorphic development

Optimal Structural Design of Reinforced Concrete Structures – Review of Existing Solutions Considering Applicability Aspect

Implementación de algoritmos genéticos para el diseño, optimización y selección de vigas

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