Vol. 6, No 2, 2008 pp. 179 - 185
UDC 624.72.22:624.042(045)=111 

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FINITE DIFFERENCE METHOD APPLICATION IN DESIGN OF FOUNDATION GIRDER
OF VARIABLE CROSS-SECTION LOADED ON ENDS
Verka Prolović, Zoran Bonić
University of Niš, The Faculty of Civil Engineering and Architecture, Serbia

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Abstract. Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order. The most convenient solution of the problem is application of numerical procedures, in this case it is the finite difference method. In the paper, the mentioned method is applied in the special case of foundation girder of variable cross section loaded by arbitrary load on its ends.
Key words:  foundation girder, finite differences method, matrix equation, load

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PRIMENA METODE KONAČNIH RAZLIKA U PRORAČUNU TEMELJNOG NOSAČA 
PROMENLJIVOG POPREČNOG PRESEKA OPTEREĆENOG NA KRAJEVIMA Savijanje temeljnog nosača koji se oslanja na deformabilnu podlogu definisano je sistemom linearnih diferencijalnih jednačina, pri čemu je diferencijalna jednačina elastične linije nosača, četvrtog reda. Za rešavanje postavljenog problema je primena numeričkih postupaka, od kojih je ovde usvojena metoda konačnih razlika. U radu je prikazana primena navedene metode za specijalni slučaj temeljnog nosača promenljivog poprečnog preseka opterećenog proizvoljnim opterećenjem i na njegovim krajevima.