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undergraduate thesis
Čisto savijanje zakrivljenih štapova
Zagreb: University of Zagreb, Faculty of Civil Engineering, 2023. urn:nbn:hr:237:330789
Vuković, Frano-Filip
University of Zagreb
Faculty of Civil Engineering
Engineering Mechanics

Institutional repository: Repository of the Faculty of Civil Engineering, University of Zagreb

Cite this document

Vuković, F. F. (2023). Čisto savijanje zakrivljenih štapova (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Civil Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:237:330789

Vuković, Frano Filip. "Čisto savijanje zakrivljenih štapova." Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, 2023. https://urn.nsk.hr/urn:nbn:hr:237:330789

Vuković, Frano Filip. "Čisto savijanje zakrivljenih štapova." Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, 2023. https://urn.nsk.hr/urn:nbn:hr:237:330789

Vuković, F. F. (2023). 'Čisto savijanje zakrivljenih štapova', Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, accessed 13 January 2025, https://urn.nsk.hr/urn:nbn:hr:237:330789

Vuković FF. Čisto savijanje zakrivljenih štapova [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Civil Engineering; 2023 [cited 2025 January 13] Available at: https://urn.nsk.hr/urn:nbn:hr:237:330789

F. F. Vuković, "Čisto savijanje zakrivljenih štapova", Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:237:330789

Metadata
TitleČisto savijanje zakrivljenih štapova
Title (english)Bending of curved beams
AuthorFrano-Filip Vuković
MentorIvan Duvnjak (mentor)
Committee memberDiana Šimić Penava (predsjednik povjerenstva)
Committee memberIvan Duvnjak (član povjerenstva)
Committee memberMarina Frančić Smrkić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Civil Engineering
(Engineering Mechanics)
Zagreb
Defense date and country2023-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract
Čisto savijanje predstavlja značajnu domenu u znanosti o otpornosti materijala. Specifično je po tomu što se kod čistog savijanja, za razliku od savijanja silama, element opterećuje samo momentom savijanja, pa se zbog toga razlikuju i unutarnje sile i naprezanja, što će se u ovom radu analizirati. Kako bismo razumjeli čisto savijanje štapova s velike zakrivljenosti, nužno je prvo steći znanje o čistom savijanju ravnih štapova, kao i razumjeti karakteristike samih štapova velike zakrivljenosti. Ovo je posebno bitno jer teorijski postulati i zakonitosti primjenjivi na čisto savijanje štapova s velike zakrivljenosti izravno proizlaze iz jednostavnijeg slučaja čistog savijanja ravnih štapnih elemenata. Osim toga, u radu se detaljno razmatra pojam štapova velike i male zakrivljenosti, te se analizira proces odabira optimalnih poprečnih presjeka za zakrivljene štapove u čistom savijanju. Ključni aspekt ovog procesa je postizanje optimalnih naprezanja uzrokovanih savijanjem, što implicira izbor poprečnog presjeka koji će rezultirati ravnotežom naprezanja na rubnim vlaknima materijala. Primjena teorija male zakrivljenosti na proračun štapova velike zakrivljenosti rezultirala bi značajnim razlikama u naprezanjima, čak do 20%, na rubnim vlaknima. Rad također uključuje rješavanje konkretnog primjera računskog zadatka s čistim savijanjem štapova velike zakrivljenosti, prikazujući postupak određivanja naprezanja i racionalizaciju odabira poprečnog presjeka.
Abstract (english)
Pure bending is a significant area within the science of materials resistance. It is characterized by the fact that in pure bending, unlike in force-induced bending, an element is subjected to only one bending moment. Consequently, the internal forces and stresses that are the focus of this study vary. To understand pure bending in highly curved beams, one must first understand pure bending in straight beams and understand the properties of highly curved beams. This is critical because the theoretical basis for highly curved members is derived directly from simpler cases involving straight member elements. This paper also examines the concepts of strongly and weakly curved members and analyzes the selection process for optimal section shapes in pure bending. The main objective is to achieve an optimal stress due to bending, i.e., to select a cross-sectional shape that balances the stress on the outermost fibers of the material. Applying low-curvature theories to highly curved members would result in significant stress differences of up to 20% at the outermost fibers. In addition, the paper presents a specific computational example for pure bending of highly curved beams is presented, demonstrating the stress determination procedure and rationalizing the choices of cross-sectional shape.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:237:330789
Study programmeTitle: 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 conditionsOpen access
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Created on2023-10-23 07:53:25