Računalniški program za optimalno dimenzioniranje armiranobetonskih prerezov : diplomska naloga

Krofl, Žiga (author), Lopatič, Jože (mentor)

V diplomski nalogi je predstavljen računalniški program za optimalno dimenzioniranje armiranobetonskih prerezov poljubne oblike, obremenjenih z dvojno ekscentrično osno silo. Računanje poteka v programu Excel, za postopek optimizacije je uporabljen podprogram Solver. Obod prereza predstavim kot mnogokotnik, armaturo podam kot točke v prerezu. Pri računu predpostavim linearen potek deformacij po prerezu in delovne diagrame betona običajne trdnosti ter armature skladno z EC2. Pri integraciji napetosti po prerezu uporabim Greenov izrek in prevedem površinski integral na krivuljni integral po obodu prereza. Notranje količine izračunam za vsak odsek mnogokotnika posebej. Vse enačbe na nivoju odseka so analitične. Pravilnost programa potrdim z računom enostavnih prerezov. Dobljene rezultate primerjam z obstoječimi rešitvami. Na koncu optimiziram nesimetričen prerez obremenjen z dvojno ekscentrično osno silo.

• Language: Slovenian
• Keywords: gradbeništvo, diplomska naloga, UNI, AB prečni prerez, mejna nosilnost, dvojno ekscentrična osna obremenitev, poljubna oblika, optimizacija
• Work type: Undergraduate thesis
• Typology: 2.11 - Undergraduate Thesis
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Place of publishing: Ljubljana
• Publisher: [Ž. Krofl]
• Year: 2016
• Number of pages: X, 58 str.
• PID: 20.500.12556/RUL-86395
• UDC: 624.012.45:624.046:004.42 (043.2)
• COBISS.SI-ID: 7782497
• Publication date in RUL: 23.11.2016

KROFL, Žiga, 2016, Računalniški program za optimalno dimenzioniranje armiranobetonskih prerezov : diplomska naloga [online]. Bachelor’s thesis. Ljubljana : Ž. Krofl. [Accessed 26 March 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=86395

Secondary language

• Language: English
• Title: A computer program for optimization of reinforced concrete cross section

Abstract

A computer program for optimization of reinforced concrete cross section of an arbitrary shape loaded with combined biaxial bending and axial load is presented in the graduation thesis. The computation takes place in the Excel computer program, optimization is performed with the Solver Add–in. The perimeter of the cross section area is presented as a polygon, the steel reinforcment bars are input as points in the area. The stress-strain relationship of the conventional strength concrete and steel rebar are compliant with the EC2 code. Bernoulli’s assumption that plane sections remain plane is valid. By employing Green’s Theorem, the double integral of the longitudinal stresses is transformed to line integral along the cross sections perimeter. For each section of the polygon, the forces are computed. All equations on the section level are analytical in nature. The verification of the program is performed by comparing the results obtained on standard cross sections with results available in the literature. The application of the computer program is illustrated with asymetrical RC cross-section design example.

• Keywords: graduation thesis, civil engineering, RC cross section, ultimate bearing capacity, combined biaxial bending and axial load, arbitrary shape, optimization