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kaE'ro[rt1 tx$Ao rr-t

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Arl r: / DEFORMACIJE srnpn )l )o r- / \ / ' '

\ _/er/o(n\{ l' 'c v

Stap je osnovnilelement linijske kons-f@iia je duZina znatno veia od druge dvije

f +q- t)l A -7'cx/e I ? t' i ' : czJ 4 t 7

dimenzije. DuZina Stapa je predstavljena duZinom njegove ose, dok je sa druge dvije dimenz'tjedefiniran popredni presjek StaPa.prema obliku ose Stapa razlikujemo prave i krive Stapove, a prema obliku poprednog presjekaStapa razlikujemo Stapove konstantnog i promjenjivog poprednog presjeka.

Razmatramo linearnu teoriju Stapa kod koje su veze izmedu pomjeranja, deformacija i silalinearne.Jednadine linearne teorije Stapa su izvedene zahvaljujuii sljededim pretpostavkama:

1, pretpostavka o malim pomjeranjima ili pretpostavka o statidkoj linearnosti,2. Pretpostavka o malim deformacijama ili pretpostavka o geometrijskoj linearnosti,3. Hooke-ov (Hukov) zakon ili pretpostavka o fizidkoj linearnosti.

posmatrademo ravne deformacije 5tapa, odnosno deformacije ravnog Stapa u njegovoj ravni.

u,v -pomjeranja u pravcu globalnog koordinatnog sistema

4,rl- pomjeranja u pravcu lokalnog koordinatnog sistema

Sa slike je :

u = €cosd -rTsinay=fsind+rycosa

ili napisano u matridnoj formi

l r l [cosa -s inal lE]1 f =l l '1 l t[yJ Lsrn d cos a ) lry )

odnosno

[El I cos a

\ry|= L- "in "

sinaf lu l

"o"'J {nj

Teorija konstrukcija II - Deformac'rje Stapa