20.500.12556/DKUM-92034 Optimal design and competitive spans of timber floor joists based on multi-parametric MINLP optimization 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. structural optimization cost optimization discrete optimization mixed-integer nonlinear programming MINLP timber floor joists optimiranje konstrukcij optimizacija stroškov diskretna optimizacija mešano celoštevilčno nelinearno programiranje lesena stropna konstrukcija true false true MDPI Angleški jezik Slovenski jezik https://www.mdpi.com/journal/materials © 2022 by the authors Članek v reviji 2025-03-12 14:32:54 2025-03-12 14:32:54 2025-03-13 03:12:44 0000-00-00 00:00:00 2022 0 0 25 str. iss. 9 (3217) Vol. 15 April 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-03-29 2022-04-26 2022-04-29 624.041:519.8 106691331 10.3390/ma15093217 1996-1944 materials-15-03217-v2.pdf materials-15-03217-v2.pdf 1 8AD3B2CA09BF4DB8E5AD4BA718152C66 aa6c465c791d4a7ff06268d63e9b3a41ef8e3475a1b83d507c4b9f911f45ab03 bc0789dd-ff46-11ef-9eb9-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189208 https://www.mdpi.com/1996-1944/15/9/3217 0 c50dbcbd-ff46-11ef-9eb9-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189209 Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0