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STATIČKI PRORAČUN ČVOR A Y = 0 X = 0 S 2 x sin 23.96 = Y A – 9 S 2 x cos 23.96 = S 1 S 2 = 110.80 kN S 1 = 101.25 kN ČVOR 1 X = 0 Y = 0 S 3 = S 1 = 101.25 kN S 9 = 0 kN ČVOR 2 X = 0 S 2 x cos 23.96 - S 5 x cos 23.96 - S 4 x cos 23.96 = 0 S 5 = S 2 - S 4 → S 5 = 88.64 kN Y = 0 S 2 x sin 23.96 - S 5 x sin 23.96 + S 4 x sin 23.96 - 18 = 0 2 x S 4 = 44.32 S 4 = 22.16 kN ČVOR 3 Y = 0 X = 0 S 4 x sin 23.96 - S 10 = 0 S 3 - S 4 x cos 23.96 - S 6 = 0 S 10 = 9 kN S 6 = 81 kN ČVOR 4 X = 0 S 5 x cos 23.96 - S 8 x cos 23.96 - S 7 x cos 41.63 = 0 S 8 = S 5 - S 7 → S 8 = 66.48 kN Y = 0 S 5 x sin 23.96 + S 7 x sin 41.63 - S 8 x sin 23.96 - 18 - S 10 = 0 S 7 x ( sin 41.63 + sin 23.96 ) = 18 + 9 S 7 = 27.09 kN

STATIČKI PRORAČUN

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Page 1: STATIČKI PRORAČUN

STATIČKI PRORAČUN

ČVOR A

∑ Y = 0 ∑ X = 0S2 x sin 23.96 = YA – 9 S2 x cos 23.96 = S1

S2 = 110.80 kN S1 = 101.25 kN

ČVOR 1

∑ X = 0 ∑ Y = 0S3 = S1 = 101.25 kN S9 = 0 kN

ČVOR 2

∑ X = 0S2 x cos 23.96 - S5 x cos 23.96 - S4 x cos 23.96 = 0S5 = S2 - S4 → S5 = 88.64 kN∑ Y = 0S2 x sin 23.96 - S5 x sin 23.96 + S4 x sin 23.96 - 18 = 02 x S4 = 44.32S4 = 22.16 kN

ČVOR 3

∑ Y = 0 ∑ X = 0S4 x sin 23.96 - S10 = 0 S3 - S4 x cos 23.96 - S6 = 0S10 = 9 kN S6 = 81 kN

ČVOR 4

∑ X = 0S5 x cos 23.96 - S8 x cos 23.96 - S7 x cos 41.63 = 0S8 = S5 - S7 → S8 = 66.48 kN∑ Y = 0S5 x sin 23.96 + S7 x sin 41.63 - S8 x sin 23.96 - 18 - S10 = 0S7 x ( sin 41.63 + sin 23.96 ) = 18 + 9S7 = 27.09 kN

ČVOR 5

∑ X = 0S8 x cos 23.96 - S12 x cos 23.96 = 0S12 = 66.48 kN∑ Y = 018 + S11 - S8 x sin 23.96 - S12 x sin 23.96 = 0S11 = 36 kN

Zbog simetričnosti sile u ostalim štapovima suvišno je računati, pa ćemo ih prepisati.