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undergraduate thesis
Matrični pristup metodi pomaka
Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, 2024. urn:nbn:hr:133:737086
Perković, Gabriel
Josip Juraj Strossmayer University of Osijek
Faculty of Civil Engineering and Architecture Osijek
Department for Technical Mechanics

Institutional repository: Repository GrAFOS

Cite this document

Perković, G. (2024). Matrični pristup metodi pomaka (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek. Retrieved from https://urn.nsk.hr/urn:nbn:hr:133:737086

Perković, Gabriel. "Matrični pristup metodi pomaka." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, 2024. https://urn.nsk.hr/urn:nbn:hr:133:737086

Perković, Gabriel. "Matrični pristup metodi pomaka." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, 2024. https://urn.nsk.hr/urn:nbn:hr:133:737086

Perković, G. (2024). 'Matrični pristup metodi pomaka', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, accessed 14 November 2024, https://urn.nsk.hr/urn:nbn:hr:133:737086

Perković G. Matrični pristup metodi pomaka [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek; 2024 [cited 2024 November 14] Available at: https://urn.nsk.hr/urn:nbn:hr:133:737086

G. Perković, "Matrični pristup metodi pomaka", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:133:737086

Metadata
TitleMatrični pristup metodi pomaka
Title (english)Matrix approach to displacement method
AuthorGabriel Perković
MentorSilva Lozančić (mentor)
Committee memberAleksandar Jurić (predsjednik povjerenstva)
Committee memberSilva Lozančić (član povjerenstva)
Committee memberMirjana Bošnjak-Klečina (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Civil Engineering and Architecture Osijek
(Department for Technical Mechanics)
Osijek
Defense date and country2024-09-16, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Basic Technical Sciences
Technical Mechanics (Mechanics of Rigid and Deformable Bodies)
Abstract
Ovaj rad prikazuje matrični pristup metodi pomaka s ciljem pružanja teorijske osnove metode te njezine primjene na dva statički neodređena sustava. U prvom poglavlju obrađuje se metoda pomaka, objašnjavajući osnovne koncepte i algoritam metode, kao i ključne pojmove poput momenata upetosti, jednadžbi ravnoteže i rada, upetog i slobodnog stanja te nepoznanica u metodi pomaka. Drugo poglavlje usredotočeno je na specifičnosti matričnog pristupa metodi pomaka, objašnjavajući pojmove poput matrica krutosti elementa i sustava te lokalnog i globalnog koordinatnog sustava. Treće poglavlje uključuje rješenje prvog praktičnog primjera, s fokusom na prisilne pomake i primjenu teoretskih znanja. Četvrto poglavlje analizira okvir pod temperaturnim opterećenjem. U zaključku se rezultati ručne analize matričnim pristupom uspoređuju s rezultatima računalne analize.
Abstract (english)
This paper presents a matrix approach to the displacement method. The aim is to provide a theoretical foundation for the method and apply it to two statically indeterminate systems. The first chapter covers the displacement method, explaining its concept and algorithm. Key concepts such as fixed-end moments, equilibrium and work equations, fixed and free states, as well as unknowns in the displacement method, will be discussed as they form the basis for understanding matrix calculations. The second chapter delves into the specifics of the matrix approach to the displacement method, clarifying important ideas like element and system stiffness matrices, and the concepts of local and global coordinate systems. The third chapter introduces the first practical example, demonstrating how forced displacement is considered and the application of theoretical principles. The fourth chapter focuses on analyzing a frame under thermal load. Finally, the conclusion compares the results of manual analysis using the matrix approach with those obtained from computer-based analysis.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:133:737086
Study programmeTitle: University Undergraduate Studies of Civil Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka građevinarstva (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka građevinarstva)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2024-10-25 05:55:25