Chapter 1Januar 20071.1 Uslovni zadatak1ˇ TEHNICKA MEHANIKA 1 26.01.2007.1.2Prvi zadatakˇ Cvor F: X = 0 : SEF = 10 Y = 0 : SF G = 10 Deo E-G-C:ME Y X= = =0 : 10 · 5 − YC · 3 = 0 0 : YE + 16.67 − 10 = 0 0 : XE = 10⇒ YC = 16.67 ⇒ YE = −6.67Deo A-D-B:Beograd, januar 2006Page 2 of 10ˇ TEHNICKA MEHANIKA 1 26.01.2007.MA=0: −15 · 1.5 + 20 · 2 − 10 − 6.67 · 10 −10 · 6 + 15 − YB · 8 = 0⇒ YB = −13.025 MD = 0: −10 − 6.67 · 6 + 15 + 13.025 · 4 − XB · 6 = 0 ⇒ XB = 2.85
Chapter 1
Januar 20071.1 Uslovni zadatak
1
TEHNICKA MEHANIKA 1 26.01.2007.
1.2
Prvi zadatak
Cvor F: X = 0 : SEF = 10 Y = 0 : SF G = 10 Deo E-G-C:
ME Y X
= = =
0 : 10 5 YC 3 = 0 0 : YE + 16.67 10 = 0 0 : XE = 10
YC = 16.67 YE = 6.67
Deo A-D-B:
Beograd, januar 2006
Page 2 of 10
TEHNICKA MEHANIKA 1 26.01.2007.
MA
=
0: 15 1.5 + 20 2 10 6.67 10 10 6 + 15 YB 8 = 0
YB = 13.025 MD = 0: 10 6.67 6 + 15 + 13.025 4 XB 6 = 0 XB = 2.85
Y = 0: YA 20 + 6.67 13.025 = 0 YA = 26.355 X = 0: XA 10 + 2.85 15 =
0 Deo A-B: MA XA = 22.15 = 0: 20 2 13.025 8 + YB 8 = 0 YB = 18.025
Y = 0: YA 26.355 + 20 + 13.025 18.025 = 0 YA = 11.355 X = 0: 22.15
2.85 + XA = 0 XA = 25 (1.2) (1.1)
Beograd, januar 2006
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TEHNICKA MEHANIKA 1 26.01.2007.
Stvarni smerovi sila i optereenja na krajevima: c
Beograd, januar 2006
Page 4 of 10
TEHNICKA MEHANIKA 1 26.01.2007.
N
T
M
Beograd, januar 2006
Page 5 of 10
TEHNICKA MEHANIKA 1 26.01.2007.
1.3
Drugi zadatak
Deo E-C: ME = 0: 28 3.5 20 2 15 2.5 YC 5 = 0 YC = 4.1 Y = 0: YE
28 + 15 + 4.1 = 0 YE = 8.9 X=0: Deo D-G-H: MH = XE = 20 0: 20 3.5 +
SGD 5.5 15 = 0 SGD = 15.45 Y = 0: YH 20 + 15.45 = 0 YH = 4.55 X Deo
A-D-B: = 0: XH = 0
Beograd, januar 2006
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TEHNICKA MEHANIKA 1 26.01.2007.
MA
=
0: 56 7 + 20 + 15.45 7 + 8.9 14 20 4 + 4.55 12.5 YB 14 = 0
YB = 44.4levo MD
(1.3)
=
0: 40.5 7 + 20 28 3.5 XA 4 = 0
XA = 51.375 Y = 0: YA + 44.4 56 15.45 4.55 8.9 = 0 YA = 40.5 X =
0: XB + 51.375 20 = 0 XB = 31.375
Stvarni smerovi sila i optereenja na krajevima: c
Beograd, januar 2006
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TEHNICKA MEHANIKA 1 26.01.2007.
N
T
M
Beograd, januar 2006
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TEHNICKA MEHANIKA 1 26.01.2007.
1.4
Trei zadatak c
N
Ty
Tz
Mt
Mz
My
Beograd, januar 2006
Page 9 of 10
Contents1 Januar 2007 1.1 Uslovni zadatak 1.2 Prvi zadatak . 1.3
Drugi zadatak . 1.4 Trei zadatak . c 1 1 2 6 9
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