SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA
SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA
48. Zadatak Za zadani tankostijeni presjek prikazan na slici potrebno je odrediti središte posmika u odnosu na to�ku A. x = 35 ⋅sin 25° = 14, 8mm 76
77 ( ) ( ) ( ) ( ) ( ) ( ) T T y y I T dy t y t I T T mm S t y t I T S S t I T b I S T T T z z I t T dz z z I t T dz t z z I T T z z I T z t z t I T b I S T mm I I y y y y y y y y y xy y y y y y y y xz y y ⋅ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = ⋅ ⋅ + ⋅ = = + ⋅ ⋅ = ⋅ ⋅ + ⋅ = + ⋅ = ⋅ ⋅ = ⋅ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + ⋅ = ⋅ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + ⋅ = ⋅ ⋅ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + ⋅ ⋅ ⋅ = ⋅ ⋅ = ⋅ = ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⋅ ⋅ + ⋅ + ⋅ ⋅ + ⋅ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − ⋅ ⋅ + ⋅ = ∫ ∫ ∫ 184 , 0 2 149 5 , 1672 149 5 , 1672 5 , 1672 2 / 15 8 , 14 15 5 8 , 29 5 , 1672 0324 , 0 6 2 8 , 14 2 8 , 14 2 8 , 14 2 8 , 14 2 8 , 14 10 4364 , 3 2 8 , 14 8 , 14 5 12 8 , 14 5 8 , 29 5 20 12 5 20 5 , 7 8 , 29 15 5 12 15 5 2 2 2 20 0 2 2 2 2 20 0 2 2 3 1 2 2 1 2 2 1 15 0 3 1 2 1 15 0 1 2 1 1 1 2 1 1 15 0 1 2 1 1 1 1 1 1 4 5 2 3 2 3 2 3 τ τ ( ) ( ) ( ) mm e T T T e T T T T e T T T z z z I T dz t z z t I T T mm S z z t I T z t z t I T S S S t I T b I S T y y y y y y y y y y y xz 16 , 1 244 , 0 2 72 , 31 184 , 0 6 , 59 0324 , 0 44 , 103 25 cos 35 2 8 , 29 2 25 cos 35 20 2 244 , 0 6 5 2 149 5 , 4652 2 5 149 5 , 4652 2980 8 , 29 20 5 2 5 149 5 , 4652 2 8 , 29 2980 5 , 1672 3 2 1 3 15 0 3 3 2 3 3 3 2 3 3 15 0 3 3 2 2 3 3 3 3 3 2 1 3 3 − = ⋅ ⋅ − ⋅ + ⋅ = ⋅ ° ⋅ ⋅ ⋅ − ⋅ ⋅ + ° ⋅ + ⋅ ⋅ = ⋅ ⋅ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + = ⋅ ⋅ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + ⋅ = = ⋅ ⋅ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + ⋅ = = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ⋅ ⋅ + + ⋅ = + + ⋅ = ⋅ ⋅ = ∫ τ
- Page 25 and 26: 20. Zadatak U to�ki A napregnutog
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- Page 33 and 34: t 29. Zadatak Odrediti potreban bro
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- 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 and 46: 45 ( ) ( ) Nmm kNm U U I G M I G M
- Page 47 and 48: 47 ( ) ( ) ° − = → ° − =
- 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: 75 Položaj neutralne osi : ° −
- Page 79 and 80: 79 To�ka 1 : MPa mm N b I S T MPa
48. Zadatak<br />
Za zadani tankostijeni presjek prikazan na slici potrebno je odrediti središte posmika u odnosu<br />
na to�ku A.<br />
x =<br />
35 ⋅sin<br />
25°<br />
= 14,<br />
8mm<br />
76
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