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undergraduate thesis
Određivanje progibne linije pri savijanju nosača
Zagreb: University of Zagreb, Faculty of Civil Engineering, 2019. urn:nbn:hr:237:658160
Pejić, Kristina
University of Zagreb
Faculty of Civil Engineering
Engineering Mechanics

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

Cite this document

Pejić, K. (2019). Određivanje progibne linije pri savijanju nosača (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Civil Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:237:658160

Pejić, Kristina. "Određivanje progibne linije pri savijanju nosača." Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, 2019. https://urn.nsk.hr/urn:nbn:hr:237:658160

Pejić, Kristina. "Određivanje progibne linije pri savijanju nosača." Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, 2019. https://urn.nsk.hr/urn:nbn:hr:237:658160

Pejić, K. (2019). 'Određivanje progibne linije pri savijanju nosača', Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, accessed 27 December 2024, https://urn.nsk.hr/urn:nbn:hr:237:658160

Pejić K. Određivanje progibne linije pri savijanju nosača [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Civil Engineering; 2019 [cited 2024 December 27] Available at: https://urn.nsk.hr/urn:nbn:hr:237:658160

K. Pejić, "Određivanje progibne linije pri savijanju nosača", Undergraduate thesis, University of Zagreb, Faculty of Civil Engineering, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:237:658160

Metadata
TitleOdređivanje progibne linije pri savijanju nosača
Title (english)Determination of beam deflection due to bending
AuthorKristina Pejić
MentorIvan Duvnjak (mentor)
Committee memberMarko Bartolac (predsjednik povjerenstva)
Committee memberIvan Duvnjak (član povjerenstva)
Committee memberAna Skender (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Civil Engineering
(Engineering Mechanics)
Zagreb
Defense date and country2019-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract
U ovom radu su obrađene dvije metode određivanja progibne linije nosača pri savijanju. Promatra se određivanje progibne linije pri utjecaju djelovanja različitih opterećenja za različite načine oslanjanja nosača. Progibna ili elastična linija nosača je deformirana uzdužna os štapa, a pomak težišta promatranog štapa u smjeru okomitom na nedeformiranu os štapa je progib nosača. Kut za koji se presjek zaokrene u odnosu na prvobitnu os zove se kut zaokreta. Diferencijalna jednadžba progibne linije određuje se iz poznate matematičke formule za zakrivljenost. Analitičkom metodom, progib i kut zaokreta, određuju se uzastopnim integriranjem diferencijalne jednadžbe progibne linije uz određivanje rubnih uvjeta iz načina oslanjanja nosača. Grafoanalitička metoda zasniva se na analogiji između diferencijalne jednadžbe progibne linije nosača i diferencijalne jednadžbe koja povezuje moment savijanja i intenzitet opterećenja. Na fiktivni nosač, iste duljine i krutosti kao stvarni, nanosi se fiktivno opterećenje koje ima oblik dijagrama momenata savijanja konstruiranom na stvarnom nosaču.
Abstract (english)
This paper deals with two methods for determining the deflection line of a beam when bending. The determination of the deflection line under the influence of the action of different loadings for different modes of supporting the beam is observed. The deflection of the beam is a deformed longitudinal axis of the beam, and the displacement of the center of gravity in the perpendicular direction to the undeformed axis is the deflection of the beam. The angle by which the section is rotated relative to the original axis is called the angle of rotation. The differential equation of the deflection line is determined from the known mathematical formula for curvature. By the analytical method, the deflection and the angle of rotation are determined by consecutively integrating the differential equation of the deflection line. The graphoanalytic method is based on the analogy between the differential equation of the deflection line of the beam and the differential equation that relates the bending moment and the intensity of the load. A fictitious load, having the form of a bending moment diagram constructed on a real beam, is applied to a conjugate beam, of the same length and stiffness as the actual one.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:237:658160
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
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Created on2019-11-26 12:46:11