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undergraduate thesis
Koeficijenti fleksibilnosti za simetrične i asimetrične sustave
2023. urn:nbn:hr:133:078317
Šušak, Lara
Josip Juraj Strossmayer University of Osijek
Faculty of Civil Engineering and Architecture Osijek
Department for Technical Mechanics

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Šušak, L. (2023). Koeficijenti fleksibilnosti za simetrične i asimetrične sustave (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:133:078317

Šušak, Lara. "Koeficijenti fleksibilnosti za simetrične i asimetrične sustave." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, 2023. https://urn.nsk.hr/urn:nbn:hr:133:078317

Šušak, Lara. "Koeficijenti fleksibilnosti za simetrične i asimetrične sustave." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, 2023. https://urn.nsk.hr/urn:nbn:hr:133:078317

Šušak, L. (2023). 'Koeficijenti fleksibilnosti za simetrične i asimetrične sustave', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, accessed 01 May 2024, https://urn.nsk.hr/urn:nbn:hr:133:078317

Šušak L. Koeficijenti fleksibilnosti za simetrične i asimetrične sustave [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek; 2023 [cited 2024 May 01] Available at: https://urn.nsk.hr/urn:nbn:hr:133:078317

L. Šušak, "Koeficijenti fleksibilnosti za simetrične i asimetrične sustave", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Civil Engineering and Architecture Osijek, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:133:078317

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Metadata
TitleKoeficijenti fleksibilnosti za simetrične i asimetrične sustave
Title (english)The flexibility coefficients for symmetric and antisymmetric systems
AuthorLara Šušak
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 country2023-09-15, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Basic Technical Sciences
Technical Mechanics (Mechanics of Rigid and Deformable Bodies)
Abstract
Metoda sila se koristi za rješavanje problema statički neodređenih sustava. Ova metoda se koristi za izračunavanje nepoznatih sila i momenata u takvim sustavima. Uvjeti ravnoteže nisu dovoljni za određivanje nepoznatih veličina statički neodređenih sustava, stoga se dodaju dodatne jednadžbe, koje povezuju sile i pomake u metodi sila zvane jednadžbe kompatibilnosti ili kontinuiteta. Matrica fleksibilnosti ima važnu ulogu u ovim jednadžbama i karakterizira se simetričnom strukturom oko glavne dijagonalne osi. Koeficijent fleksibilnosti 𝛿𝑖𝑗 je element matrice fleksibilnosti. U radu će se prikazati da li se matrica fleksibilnosti simetričnih i antisimetričnih sustava razlikuje od matrica ostalih sustava, koje su simetrične oko dijagonale zbog Maxwell-Bettijevog stavka koji definira da je 𝛿𝑖𝑗=𝛿𝑗𝑖
Abstract (english)
The method of forces is used to solve problems of statically indeterminate systems. This method is employed to calculate unknown forces and moments in such systems. Equilibrium conditions alone are not sufficient to determine the unknowns in statically indeterminate systems, so additional equations are introduced, which relate forces and displacements in the force method, called compatibility or continuity equations. The flexibility matrix plays a crucial role in these equations and is characterized by a symmetric structure around the main diagonal axis. The flexibility coefficient 𝛿𝑖𝑗 is an element of the flexibility matrix. In this work, I will demonstrate whether the flexibility matrix for symmetric and antisymmetric systems differs from that of other systems, which exhibit symmetry around the diagonal due to the Maxwell-Betti theorem defining that 𝛿𝑖𝑗=𝛿𝑗𝑖.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:133:078317
Study programmeTitle: Undergraduate university programme in civil engineering; specializations in: General course
Course: General course
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 on2023-10-23 13:11:55