20.500.12556/DKUM-46246 OPTIMIZACIJA NOSILCEV IN STEBROV Z MEŠANIM CELOŠTEVILSKIM NELINEARNIM PROGRAMIRANJEM THE MIXED INTEGER NONLINEAR PROGRAMMING OPTIMIZATION OF BEAMS AND COLUMNS Magistrsko delo obravnava optimizacijo nosilcev in stebrov iz armiranega betona, jekla in lepljenega lameliranega lesa. Za izbrane konstrukcije so bili izračunani optimalni (najnižji) materialni stroški in izbrane optimalne dimenzije prečnih prerezov ter trdnostni razredi posameznega materiala. Izračuni so bili izvedeni za različne razpone nosilcev, različne višine stebrov in različne koristne obtežbe. Rezultati so bili med seboj primerjani. Za optimizacijo, ki je bila izvedena z mešanim celoštevilskim nelinearnim programiranjem, so bili razviti in uporabljeni optimizacijski modeli omenjenih konstrukcij, zapisani v višjem algebrajskem jeziku GAMS. This Master thesis deals with the optimization of beams and columns made of reinforced concrete, steel and glued laminated timber. For selected structures the optimal (minimal) material costs, optimal cross section dimensions and optimal strength classes were calculated. The calculations were performed for different spans of beams, different heights of columns and for different live loads. The results were compared. For the optimization, which was performed by the Mixed Integer Nonlinear Programming approach, optimization models of the mentioned structures were developed and applied, modelled in GAMS, a high level language. gradbeništvo konstrukcije armirani beton jekleni profili lepljen lameliran les stroškovna optimizacija konstrukcij mešano celoštevilsko nelinearno programiranje MINLP civil engineering structures reinforced concrete steel sections glued laminated timber cost structural optimization Mixed Integer Nonlinear Programming MINLP true true false [Ž. Unuk] Slovenski jezik Angleški jezik Magistrsko delo/naloga 2014-09-18 04:24:45 2014-09-29 12:05:49 2022-05-17 03:11:00 2021-05-05 03:21:59 2014 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.012.45.04:519.8(043.2) 18578966 URN:SI:UM:DK:CXXHX2RU MAG_Unuk_Ziga_2014.pdf MAG_Unuk_Ziga_2014.pdf 1 DDD7BB1A490F63703C7E8D840113C762 e15be1c34b9593a8c794cfcce01c73a1950de51ae34c13b56d65bd95a5333a3e 51e1f01e-7c0b-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=67950 Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0