Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures

This paper presents a study showing the optimization of the mass, direct (self-manufacturing) costs, and energy life-cycle costs of composite floor structures composed of a reinforced concrete slab and steel I-beams. In a multi-parametric study, mixed-integer non-linear programming (MINLP) optimizat...

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Autores principales: Stojan Kravanja, Uroš Klanšek, Tomaž Žula
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:a214b138406f425dac5d3600875c05cd2021-11-11T15:20:28ZMass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures10.3390/app1121103162076-3417https://doaj.org/article/a214b138406f425dac5d3600875c05cd2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10316https://doaj.org/toc/2076-3417This paper presents a study showing the optimization of the mass, direct (self-manufacturing) costs, and energy life-cycle costs of composite floor structures composed of a reinforced concrete slab and steel I-beams. In a multi-parametric study, mixed-integer non-linear programming (MINLP) optimizations are carried out for different design parameters, such as different loads, spans, concrete and steel classes, welded, IPE and HEA steel profiles, and different energy consumption cases. Different objective functions of the composite structure are defined for optimization, such as mass, direct cost, and energy life-cycle cost objective functions. Moreover, three different energy consumption cases are proposed for the energy life-cycle cost objective: an energy efficient case (50 kWh/m<sup>2</sup>), an energy inefficient case (100 kWh/m<sup>2</sup>), and a high energy consumption case (200 kWh/m<sup>2</sup>). In each optimization, the objective function of the structure is subjected to the design, load, resistance, and deflection (in)equality constraints defined in accordance with Eurocode specifications. The optimal results calculated with different criteria are then compared to obtain competitive composite designs. Comparative diagrams have been developed to determine the competitive spans of composite floor structures with three different types of steel I beam: those made of welded sections and those made of IPE or HEA sections, respectively. The paper also answers the question of how different objective functions affect the amount of the calculated costs and masses of the structures. It has been established that the higher (more wasteful) the energy consumption case is, the lower the obtained masses of the composite floor structures are. In cases with higher energy consumption, the energy life-cycle costs are several times higher than the costs determined in direct cost optimization. At the end of the paper, a recommended optimal design for a composite floor system is presented that has been developed on the multi-parametric energy life-cycle cost optimization, where the energy efficient case is considered. An engineer or researcher can use the recommendations presented here to find a suitable optimal composite structure design for a desired span and uniformly imposed load.Stojan KravanjaUroš KlanšekTomaž ŽulaMDPI AGarticlecomposite floorsmass optimizationdirect cost optimizationenergy life-cycle cost optimizationmixed-integer non-linear programmingMINLPTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10316, p 10316 (2021)
institution DOAJ
collection DOAJ
language EN
topic composite floors
mass optimization
direct cost optimization
energy life-cycle cost optimization
mixed-integer non-linear programming
MINLP
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle composite floors
mass optimization
direct cost optimization
energy life-cycle cost optimization
mixed-integer non-linear programming
MINLP
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Stojan Kravanja
Uroš Klanšek
Tomaž Žula
Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures
description This paper presents a study showing the optimization of the mass, direct (self-manufacturing) costs, and energy life-cycle costs of composite floor structures composed of a reinforced concrete slab and steel I-beams. In a multi-parametric study, mixed-integer non-linear programming (MINLP) optimizations are carried out for different design parameters, such as different loads, spans, concrete and steel classes, welded, IPE and HEA steel profiles, and different energy consumption cases. Different objective functions of the composite structure are defined for optimization, such as mass, direct cost, and energy life-cycle cost objective functions. Moreover, three different energy consumption cases are proposed for the energy life-cycle cost objective: an energy efficient case (50 kWh/m<sup>2</sup>), an energy inefficient case (100 kWh/m<sup>2</sup>), and a high energy consumption case (200 kWh/m<sup>2</sup>). In each optimization, the objective function of the structure is subjected to the design, load, resistance, and deflection (in)equality constraints defined in accordance with Eurocode specifications. The optimal results calculated with different criteria are then compared to obtain competitive composite designs. Comparative diagrams have been developed to determine the competitive spans of composite floor structures with three different types of steel I beam: those made of welded sections and those made of IPE or HEA sections, respectively. The paper also answers the question of how different objective functions affect the amount of the calculated costs and masses of the structures. It has been established that the higher (more wasteful) the energy consumption case is, the lower the obtained masses of the composite floor structures are. In cases with higher energy consumption, the energy life-cycle costs are several times higher than the costs determined in direct cost optimization. At the end of the paper, a recommended optimal design for a composite floor system is presented that has been developed on the multi-parametric energy life-cycle cost optimization, where the energy efficient case is considered. An engineer or researcher can use the recommendations presented here to find a suitable optimal composite structure design for a desired span and uniformly imposed load.
format article
author Stojan Kravanja
Uroš Klanšek
Tomaž Žula
author_facet Stojan Kravanja
Uroš Klanšek
Tomaž Žula
author_sort Stojan Kravanja
title Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures
title_short Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures
title_full Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures
title_fullStr Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures
title_full_unstemmed Mass, Direct Cost and Energy Life-Cycle Cost Optimization of Steel-Concrete Composite Floor Structures
title_sort mass, direct cost and energy life-cycle cost optimization of steel-concrete composite floor structures
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/a214b138406f425dac5d3600875c05cd
work_keys_str_mv AT stojankravanja massdirectcostandenergylifecyclecostoptimizationofsteelconcretecompositefloorstructures
AT urosklansek massdirectcostandenergylifecyclecostoptimizationofsteelconcretecompositefloorstructures
AT tomazzula massdirectcostandenergylifecyclecostoptimizationofsteelconcretecompositefloorstructures
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