Proračun elemenata opterećenih na posmik

undergraduate thesis

• Title (english): Shear stress analysis of beam
• Author: Dajana Ostrun
• Mentor: Ivan Duvnjak (mentor)
• Committee member: Ivan Duvnjak (predsjednik povjerenstva)
• Committee member: Joško Krolo (član povjerenstva)
• Committee member: Ana Skender (član povjerenstva)
• Granter: University of Zagreb; Faculty of Civil Engineering; (Engineering Mechanics); Zagreb
• Defense date and country: 2020-09-22, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering

Abstract

U ovom radu obrađen je proračun elemenata koji su opterećeni na posmik. Izvedeni su izrazi te objašnjeni osnovni pojmovi poput apsolutnog smicanja, relativnog smicanja, modula elastičnosti te čistog posmika. Prikazani su neki od mogućih načina smicanja. Dijagramom je objašnjena ovisnost između apsolutnog smicanja i sile T za koju je karakteristično da se povećava od nule do svoje konačne vrijednosti. Teorijski i praktično je obrađen proračun elemenata opterećenih na smicanje. Dan je primjer proračuna poprečnih sila u prisutnosti spojnih sredstava pri čemu se pretpostavlja da je opterećenje jednoliko rasprostranjeno na sve zakovice. S obzirom na oblik poprečnog presjeka, prikazana su posmična naprezanja i izrazi za proračun navedenih naprezanja. Analizirani su sljedeći oblici poprečnih presjeka: kružni poprečni presjek pravokutni poprečni presjek, presjek kružne cijevi te presjek I profila. Nadalje, definirani su neki od mogućih načina opterećenja grede poput konzole i jednostavno oslonjene grede. Prikazani su dijagrami poprečnih sila i momentni dijagrami te jednadžbe za progib, nagib, smicanje i moment. Radom je obuhvaćena i provjera graničnog stanja nosivosti armiranobetonske grede pod djelovanjem poprečne sile. Objašnjen je postupak proračuna i definiran je razmak spona. S obzirom na dobivene rezultate, određena je potrebna poprečna armatura. Također je riješen primjer određivanja graničnog stanja nosivosti za drveni nosač pod utjecajem poprečne sile. Za kraj rada dan je zaključak o djelovanju poprečne sile i važnosti samog proračuna na konstrukcije.

Abstract (english)

In this paper, the calculation of the elements loaded on the shear is processed. Expressions are derived and basic concepts such as absolute shear, relative shear, modulus of elasticity and pure shear are explained. Some of the possible shear modes are shown. The diagram explains the relationship between the absolute shear and the force T which is characterized by increasing from zero to its final value. The calculation of elements loaded on shear is theoretically and practically processed. An example of the calculation of transverse forces in the presence of coupling means is given, where it is assumed that the load is uniformly distributed on all rivets. Given the shape of the cross section, shear stresses and expressions for the calculation of these stresses are presented. The following cross-sectional shapes were analyzed: circular cross- section rectangular cross-section, cross-section of a circular tube and cross-section I profile. Furthermore, some of the possible ways of loading the beam such as the bracket and the simply supported beam are defined. Diagrams of transverse forces and moment diagrams and equations for deflection, slope, shear and moment are presented. The paper also includes checking the limit state of load-bearing capacity of a reinforced concrete beam under the action of transverse force. The calculation procedure is explained and the clamp spacing is defined. Given the results obtained, the required transverse reinforcement was determined. An example of determining the ultimate limit state for a wooden girder under the influence of a transverse force is also solved. At the end of the paper, a conclusion is given about the effect of the transverse force and the importance of the calculation on the structures.

• Keywords: posmik; posmična naprezanja; normalna naprezanja; čisti posmik; apsolutno smicanje; relativnapromjena volumena; relativno smicanje; modul posmika; potencijalna energija deformacije
• Keywords (english): shear; shear stresses; normal stresses; pure shear; absolute shear; relative volume change; relative shear; shear modulus; potential strain energy
• Language: croatian
• URN:NBN: urn:nbn:hr:237:154241
• Study programme: Title: 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 resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Repository: Repository of the Faculty of Civil Engineering, University of Zagreb
• Created on: 2020-10-30 08:39:40