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Title:
VERIŽNICA: PRIMER IZ PRAKSE
Authors:
ID
Čeh, Jure
(
Author
)
ID
Mencinger, Matej
(
Mentor
)
More about this mentor...
Files:
UNI_Ceh_Jure_2013.pdf
(1,86 MB)
MD5: 618F71C0D0F3E4E5EAE509F2663D06FD
Language:
Slovenian
Work type:
Diploma project paper
Organization:
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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:
diferencialne enačbe
,
verižnica
,
gradbeništvo
Place of publishing:
Maribor
Publisher:
[J. Čeh]
Year of publishing:
2013
PID:
20.500.12556/DKUM-41849
UDC:
517.956.3
COBISS.SI-ID:
18733334
NUK URN:
URN:SI:UM:DK:WWMJL3M1
Publication date in DKUM:
10.09.2013
Views:
3723
Downloads:
452
Metadata:
Categories:
KTFMB - FG
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Secondary language
Language:
English
Title:
CATENARY: A PRACTICAL EXAMPLE
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.
Keywords:
differential equations
,
catenary
,
civil engineering
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