Verižnica: primer iz prakse

projektna naloga

Jure Čeh (Author), Matej Mencinger (Mentor)

Abstract

V projektni nalogi je predstavljena verižnica. Najprej obravnavamo hiperbolične funkcije in diferencialne zveze, ki so pomembne za izpeljavo enačbe verižnice. Sledi splošno poglavje o verižnici, ki vključuje tudi podatke o zgodovinskem razvoju diferencialne enačbe verižnice. Glavni problem projektne naloge je izpeljava diferencialne enačbe verižnice glede na obtežbo. Na koncu je obravnavana še rešitev oziroma izračun verižnice na primeru iz prakse. Za zahtevnejše izračune uporabimo programsko orodje Wolfram Mathematica.

Keywords

hiperbolične funkcije;diferencialne enačbe;enačba verižnice;izračun verižnice;verižnica;obtežba;upogibnica;matematika;

Data

Language:	Slovenian
Year of publishing:	2013
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Publisher:	[J. Čeh]
UDC:	517.956.3
COBISS:	18733334
Views:	2605
Downloads:	323
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	CATENARY: A PRACTICAL EXAMPLE
Secondary abstract:	In this project-work we consider the catenary. First we summarize some well-known facts about hyperbolic functions and the differential origin of the problem which are important at deriving the equation of the catenary. Next some general facts on the catenary (including the historical notes) are presented. The main problem of the project-work is the derivation of the differential equation of the catenary depending on the load. Finally, a calculation of the solution of the catenary-equation originating from a practical example is presented. For difficult computations the CAS system Wolfram Mathematica is used.
Secondary keywords:	differential equations;catenary;civil engineering;
URN:	URN:SI:UM:
Type (COBISS):	Diploma project paper
Thesis comment:	Univ. v Mariboru, Fak. za gradbeništvo
Pages:	VII, 38 f.
ID:	8727347