Vol. 6, No 2, 2008
pp. 207 - 220
UDC 624.073.1:624.042.3(045)=111
THE APPLIANCE OF INTERVAL CALCULUS IN
ESTIMATION OF PLATE DEFLECTION
BY SOLVING POISSON'S BISQUARED PARTIAL DIFFERENTIAL
EQUATION
Đorđe Đorđević, Dušan Petković, Darko Živković
University of Niš, The Faculty of Civil Engineering and Architecture,
Serbia
Abstract. The work analyzed the appliance
of interval calculus conected to estimation of elements deflection done
by reinforced concrete. The simply supported reinforced concrete plate
was taken as an example. The plate was loaded by load per unit area. Knowing
that there are several parametres that influence the plate deflection,
we showed the calculus where the mentioned parametres were given at a certain
interval. The results (the final values of deflection) we also got in the
form of intervals so it was possible to follow the direct influence of
a change of one or more entering parametres on deflection values by using
one model and one caculus.
Key words: Reinforced concrete plate,
deflection, interval calculus
PRIMENA INTERVALNOG RAČUNA PRI
PRORAČUNU UGIBA PLOČE REŠAVANJEM
POISSON-OVE BIKVADRATNE PARCIJALNE DIFERENCIJALNE JEDNAČINE
U radu je analizirana primena intervalnog računa
vezana za problematiku proračuna ugiba nosača izvedenog armiranim betonom.
Za primer je uzeta armirano betonska ploča jednakih raspona, slobodno
oslonjena na sve četiri strane, opterećena jednako raspodeljenim opterećenjem.
Obzirom da na ugib nosača utiče više parametara, prikazan je proračun
u kome su pomenuti parametri zadati u određenom opsegu (intervalu). Rezultati,
tj. konačne vrednosti ugiba takođe se dobijaju u obliku intervala, te
je moguće pratiti direktan uticaj promene jednog ili više ulaznih parametara
na vrednosti ugiba, koristeći jedan model i jedan proračun.
