SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA
SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA
38. Zadatak Osovina kružnog popre���������������������ena je momentom torzije Mt. Temperatura osovine se promijeni za �t. Odrediti smjer i veli�inu glavnih naprezanja u to�ki C. E = 2, 0 ν = α t ∆t = + 30K D = 120mm M A G = 2 E = Mt 0,5 m 2 ⋅10 ( 1+ ν ) 2( 1+ 0, 3) 5 5 = 0, 77 ⋅10 N mm 1,7 m 4 4 D π 120 π 6 4 I p = = = 20, 4 ⋅10 mm = 20, 36 ⋅10 32 32 2 2 D π 120 π 4 2 −2 2 A = = = 1, 1⋅10 mm = 1, 1⋅10 m 4 4 Uvjet ravnoteže : M + M = M A B t K( 1) Uvjet deformacije : M A ⋅l M t ⋅b ϕ A = − = 0K G ⋅ I G ⋅ I M M t A B 0, 30 = 1, 25 ⋅10 = 16kNm ( 2) b 1, 2 = M t = 16 = 11, 29kNm l 1, 7 = M − M = 4, 71kNm t ⋅10 p 5 N mm −5 A K 2 −1 p C 2 1,2 m 8 kN = 0, 77 ⋅10 2 m −6 m 4 t 0,8 m D B C 46
47 ( ) ( ) ° − = → ° − = → − = − ⋅ = − = + = ± − = ⋅ + − ± − = + ± = − = ⋅ ⋅ − = − = = ⋅ ⋅ = = = ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ = ⋅ ⋅ ∆ ⋅ = ⇒ ⋅ ⋅ = ⋅ ∆ ⋅ = ∆ − 215 , 10 43 , 20 2 3725 , 0 52 , 74 88 , 13 2 2 02 , 77 50 , 2 76 , 39 26 , 37 88 , 13 4 52 , 74 2 1 2 52 , 74 4 2 1 2 52 , 74 10 1 , 1 10 23 , 848 88 , 13 2 120 10 36 , 20 10 71 , 4 2 23 , 848 10 1 , 1 10 2 30 10 25 , 1 2 2 2 1 2 2 2 2 2 , 1 2 4 3 2 6 6 4 5 5 ϕ ϕ ϕ σ σ τ σ σ σ σ τ α α tg mm N mm N tlak mm N A F mm N D I M kN F A E t F A E l F l t l C C C C C C C p B C t t
- Page 1 and 2: GRA�EVINSKI FAKULTET SVEU�ILIŠ
- Page 3 and 4: 2. Zadatak Odrediti naprezanja u š
- Page 5 and 6: 4. Zadatak Odrediti naprezanja u š
- Page 7 and 8: 6. Zadatak Odrediti naprezanja u š
- Page 9 and 10: 9 cm m A E l S l cm m A E l S l MPa
- Page 11 and 12: 11 9. Zadatak ( ) ( ) ( ) ( ) MPa m
- Page 13 and 14: 11. Zadatak Cilindri�ni stup prom
- Page 15 and 16: 15 Sile u štapovima : ( ) ( ) ( )
- Page 17 and 18: 17 Iz uvjeta ravnoteže sila : ( )
- Page 19 and 20: 15. Zadatak Za zadano stanje naprez
- Page 21 and 22: 16. Zadatak Za zadano stanje naprez
- Page 23 and 24: 17. Zadatak Plo�a je izložena dj
- Page 25 and 26: 20. Zadatak U to�ki A napregnutog
- Page 27 and 28: 22. Zadatak Pravokutna plo�ica di
- Page 29 and 30: 24. Zadatak Odrediti glavna napreza
- Page 31 and 32: 27. Zadatak Za optere�enje na tla
- Page 33 and 34: t 29. Zadatak Odrediti potreban bro
- Page 35 and 36: 31. Zadatak Metalna vilica i plo�
- Page 37 and 38: 37 33. Zadatak Odrediti potrebnu du
- Page 39 and 40: 39 Moment od sile FMi s obzirom na
- Page 41 and 42: ∆D ( 1) 1 ( 1−ν ) 1 1 ∆D 2 =
- Page 43 and 44: 43 b) Nosivost zakovice ( ) ( ) 2 m
- Page 45: 45 ( ) ( ) Nmm kNm U U I G M I G M
- Page 49 and 50: ( 2) ⎛ M A − ⎜ ⎝ GI pI M A
- Page 51 and 52: 41. Zadatak Odrediti potrebne dimen
- Page 53 and 54: 42. Zadatak Za nosa� oblika I-pro
- Page 55 and 56: 55 Iz kriterija �vrsto�e za mak
- Page 57 and 58: 43. Zadatak Za nosa� zadan i opte
- Page 59 and 60: II. podru�je: 2.2 m < x < 4 m III
- Page 61 and 62: c) dimenzioniranje nosa�a -��
- Page 63 and 64: - tangencijalno naprezanje 63
- Page 65 and 66: Maksimalni moment savijanja na udal
- Page 67 and 68: 45. Zadatak Za zadani nosa� i opt
- Page 69 and 70: 69 Posmi���������
- Page 71 and 72: Momenti savijanja na pojedinim segm
- Page 73 and 74: 73 Kut zaokreta u to�ki D : ( ) (
- Page 75 and 76: 75 Položaj neutralne osi : ° −
- Page 77 and 78: 77 ( ) ( ) ( ) ( ) ( ) ( ) T T y y
- Page 79 and 80: 79 To�ka 1 : MPa mm N b I S T MPa
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