Naslov
Evaluation of geometrical sectional properties based on Green's theorem

Autori
Vulić, Nenad

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 3rd International Congress of Croatian Society of Mechanics / Marović, Pavao - Zagreb : Hrvatsko društvo za mehaniku (HDM), 2000, 325-332

Skup
3rd International Congress of Croatian Society of Mechanics

Mjesto i datum
Cavtat, Hrvatska, 28.09.2000. - 30.09.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
sectional properties; Green's theorem

Sažetak
Geometrical properties of planar sections, such as area, static moments, axial and centrifugal moments of inertia, as well as section moduli play a significant role in classic stress analysis. They are defined as area integrals of certain functions over the sections and are well known, or easily determined for simple sections. However, for complex sections the majority of today's FEA programs (such as Algor, NISA, etc.) determine them by means of numerical integration. In this paper a different approach is implemented, transforming an area integral over the section to a line integral of a different function along the section border. The transformation is based upon the Green's theorem. Analytical solutions in case of a straight line and a circular arc are presented, thus allowing determination of section properties of arbitrarily shaped sections avoiding numerical integration. Integrals were evaluated by means of a computer algebra software (“Derive”). A few illustrative examples written in MS Excel are given, as well. Comparison with numerically calculated properties shows advantages of analytical solutions over numerical ones, in terms of better accuracy.

Izvorni jezik
Engleski

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