| Title: | Optimal design and competitive spans of timber floor joists based on multi-parametric MINLP optimization |
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| Authors: | ID Jelušič, Primož (Author)
ID Kravanja, Stojan (Author) |
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| Files: |  materials-15-03217-v2.pdf (1,85 MB)
MD5: 8AD3B2CA09BF4DB8E5AD4BA718152C66
 https://www.mdpi.com/1996-1944/15/9/3217
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| Abstract: | This study investigates the optimization of the design of timber floor joists, taking into
account the self-manufacturing costs and the discrete sizes of the structure. This non-linear and
discrete class of optimization problem was solved with the multi-parametric mixed-integer non-linear
programming (MINLP). An MINLP optimization model was developed. In the model, an accurate
objective function of the material and labor costs of the structure was subjected to design, strength,
vibration and deflection (in)equality constraints, defined according to Eurocode regulations. The
optimal design of timber floor joists was investigated for different floor systems, different materials
(sawn wood and glulam), different load sharing systems, different vertical imposed loads, different
spans, and different alternatives of discrete cross-sections. For the above parameters, 380 individual
MINLP optimizations were performed. Based on the results obtained, a recommended optimal
design for timber floor joists was developed. Engineers can select from the recommendations the
optimal design system for a given imposed load and span of the structure. Economically suitable
spans for timber floor joists structures were found. The current knowledge of competitive spans for
timber floor joists is extended based on cost optimization and Eurocode standards. |
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| Keywords: | structural optimization, cost optimization, discrete optimization, mixed-integer nonlinear programming, MINLP, timber floor joists |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 29.03.2022 |
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| Article acceptance date: | 26.04.2022 |
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| Publication date: | 29.04.2022 |
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| Publisher: | MDPI |
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| Year of publishing: | 2022 |
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| Number of pages: | 25 str. |
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| Numbering: | Vol. 15, iss. 9 (3217) |
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| PID: | 20.500.12556/DKUM-92034  |
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| UDC: | 624.041:519.8 |
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| ISSN on article: | 1996-1944 |
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| COBISS.SI-ID: | 106691331 |
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| DOI: | 10.3390/ma15093217 |
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| Copyright: | © 2022 by the authors |
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| Publication date in DKUM: | 12.03.2025 |
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| Views: | 0 |
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| Downloads: | 0 |
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| Metadata: |    |
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| Categories: | Misc.
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