Jednostavni statički neodređeni sustavi

undergraduate thesis

• Title (english): Simple statically indeterminate systems
• Author: Ana Maria Groznica
• Mentor: Ana Skender (mentor)
• Committee member: Marko Bartolac (predsjednik povjerenstva)
• Committee member: Ivan Duvnjak (član povjerenstva)
• Committee member: Ana Skender (član povjerenstva)
• Granter: University of Zagreb; Faculty of Civil Engineering; (Engineering Mechanics); Zagreb
• Defense date and country: 2019-09-24, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering

Abstract

Tema ovog završnog rada jesu jednostavni statički neodređeni sustavi. U statičkim proračunima stvarnih konstrukcija u graditeljstvu provode se analize sustava ovisno je li sustav statički određen ili neodređen. Razlika između ta dva sustava je u broju vanjskih i/ili unutarnjih veza; dok statički određeni imaju točan broj veza dovoljnih za geometrijsku nepromjenjivost, statički neodređeni imaju barem jednu vezu više. Na početku samog rada navedene su definicije, prednosti i nedostaci statički neodređenih sustava. Prikazan je postupak određivanja stupnja statičke neodređenosti te postupak rješavanja neodređenih sustava metodom sila. Središnji dio obuhvaća kontinuirani nosač te rješavanje takvog nosača pomoću Clapeyronove jednadžbe. Zadnji dio opisuje energetske teoreme, točnije Castiglianove teoreme i njihovu primjenu u analizi statički neodređenih sustava te su riješeni numerički primjeri kontinuiranog nosača i primjene Castiglianova teorema.

Abstract (english)

The topic of this thesis are simple statically indeterminate systems. In static analysis of real structures in construction, system analyses are preformed depending on whether the system is statically determinate or indeterminate. The difference between the two systems is in the number of external and/or internal connections; while statically indeterminate have the correct number of links sufficient for geometric invariability, statically indeterminate have at least one link more. The definitions, advantages, and disadvantages of statically indeterminate systems are given at the beginning of the paper. The procedure of determining the degree of static indeterminacy and the procedure for solving indeterminate systems by the force method are presented. The central part includes a continuous beam and the solution of such beam by the Clapeyron equation. The last section describes energy theorems, more specifically Castigliano theorems and their application to the analysis of statically indeterminate systems, and numerical examples of the continuous beam and the application of Castigliano theorems.

• Keywords: statička određenost; prekobrojne veze; pomaci; kontinuirani nosač; potencijalna energija deformacija
• Keywords (english): static indeterminacy; extra connections; displacements; continuous beam; potential deformation energy
• Language: croatian
• URN:NBN: urn:nbn:hr:237:520222
• 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
• Created on: 2019-11-25 13:00:01