proračun prijelaznog mosta
TRANSCRIPT
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1
č č
.
, . ć
(22,5 ), .
č 22,5 .
60 , 120 . č
1,5 . G č č
č .
4,5 čć, 45 ( 6,36 ).
D
č , č
č .
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2
1.
č
4 8 0
5 0
2 4 0
13401201340
2 2 5 0
4 5 0
1 5 0
1 5 0
450
1400 1400
2800
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2.
3.
3
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4.
5.
4
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6.
7.
8.
5
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9. č ć
10. ć (*)
6
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*
ć
11. ć č
2. ć *
ć
.
ć
č.
7
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13.
14.
ć
ć
8
č
č
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15. č
ć
9
č
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10
č
č
16. č
E = 72,18
:
ČEČ G CE F
č: 235; = 235 /2 = 23,5 /2
E = 210000 /2 = 21000 /2
g 0 = 1,0
g 1= 1,0
17. č
D= 57,0 = 4,0
A= 6,66 2
= 23,5 4
č 1.
• č č :
6 66 23 5156 51kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 156 51 kN 72 18 kN= > =c ,Rd Ed
N , N ,
Liy=Liz
NEd NEd
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11
• :
150 cm=i
L
1.
M
y
Rd b
f A N
γ χ
⋅
⋅=
2 2
2 2
21000 23 5216 47 kN
150
⋅ ⋅ ⋅ ⋅= = =
cr
cr
E I , N ,
L
π π
6 66 23 50 85
216 47
⋅ ⋅= = =
y
cr
A f , , ,
N ,λ
a ,α → = 0 21
( ) 20 5 1 0 2 , ,Φ α λ λ = ⋅ + ⋅ − +
( ) ( )2 20 5 1 0 2 0 5 1 0 21 0 85 0 2 0 85 0 93 = ⋅ + ⋅ − + = ⋅ + ⋅ − + = , , , , , , , ,Φ α λ λ
2 2
1 χ
Φ Φ λ =
+ −
2 2 2 2
1 10 76
0 93 0 93 0 85= = =
+ − + −
, , , ,
χ Φ Φ λ
1
6 66 23 50 76 119 71 kN
1 0
⋅ ⋅= ⋅ = ⋅ =
y
b.Rd
M
A f , , N , ,
, χ
γ
: 119 71 kN 72 18 kN= > =b ,Rd Ed
N , N ,
č
E = 16,85
• č č :
6 66 23 5156 51kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 156 51 kN 16 85 kN= > =c ,Rd Ed
N , N ,
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12
č
18. č
E = 10,66
:
ČEČ G CE F
č: 235; = 235 /2 = 23,5 /2
E = 210000 /2
= 21000 /2
g 0 = 1,0
g 1= 1,0
19. č
D= 57,0
= 2,0
A= 3,46 2 = 13,1
4
č 1.
• č č :
3 46 23 581 31 kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 81 31 kN 10 65 kN= > =c ,Rd Ed
N , N ,
Liy=Liz
NEd NEd
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13
• :
192 cm=i
L
1.
M
y
Rd b
f A N
γ χ
⋅
⋅=
2 2
2 2
21000 13 173 65 kN
192
⋅ ⋅ ⋅ ⋅= = =
cr
cr
E I , N ,
L
π π
3 46 23 51 05
73 65
⋅ ⋅= = =
y
cr
A f , , ,
N ,λ
a ,α → = 0 21
( ) 20 5 1 0 2 , ,Φ α λ λ = ⋅ + ⋅ − +
( ) ( )2 20 5 1 0 2 0 5 1 0 21 1 05 0 2 1 05 1 14 = ⋅ + ⋅ − + = ⋅ + ⋅ − + = , , , , , , , ,Φ α λ λ
2 2
1 χ
Φ Φ λ =
+ −
2 2 2 2
1 10 63
1 14 1 14 1 05= = =
+ − + −
, , , ,
χ Φ Φ λ
1
3 46 23 50 63 51 23 kN
1 0
⋅ ⋅= ⋅ = ⋅ =
y
b.Rd
M
A f , , N , ,
, χ
γ
: 51 23 kN 9 66 kN= > =b ,Rd Ed
N , N ,
č
E = 7,78
• č č :
3 46 23 581 31 kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 81 31 kN 7 78 kN= > =c ,Rd Ed
N , N ,
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14
č
č
:
ČEČ G CE F
č: 235; = 235 /2 = 23,5 /2
E = 210000 /2 = 21000 /2
g 0 = 1,0
g 1= 1,0
20. č
D= 70,0
= 4,0
A= 8,29 2
= 45,3 4
č 1.
E = 116,83
• č č :
8 29 23 5194 82 kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 156 51 kN 116 83 kN= > =c ,Rd Ed
N , N ,
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15
č
č
21. č
E = 12,02
:
ČEČ G CE F
č: 235; = 235 /2 = 23,5 /2
E = 210000 /2 = 21000 /2
g 0 = 1,0
g 1= 1,0
22. č
D= 51,0 = 2,0
A= 3,08 2
= 9,26 4
č 1.
• č č :
3 08 23 572 38 kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 72 38 kN 12 02 kN= > =c ,Rd Ed
N , N ,
Liy=Liz
NEd NEd
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16
• :
113 cm=i
L
1.
M
y
Rd b
f A N
γ χ
⋅
⋅=
2 2
2 2
21000 9 26150 30 kN
113
⋅ ⋅ ⋅ ⋅= = =
cr
cr
E I , N ,
L
π π
3 08 23 50 69
150 30
⋅ ⋅= = =
y
cr
A f , , ,
N ,λ
a ,α → = 0 21
( ) 20 5 1 0 2 , ,Φ α λ λ = ⋅ + ⋅ − +
( ) ( )2 20 5 1 0 2 0 5 1 0 21 0 69 0 2 0 69 0 79 = ⋅ + ⋅ − + = ⋅ + ⋅ − + = , , , , , , , ,Φ α λ λ
2 2
1 χ
Φ Φ λ =
+ −
2 2 2 2
1 10 85
0 79 0 79 0 69= = =
+ − + −
, , , ,
χ Φ Φ λ
1
3 08 23 50 85 61 52 kN
1 0
⋅ ⋅= ⋅ = ⋅ =
y
b.Rd
M
A f , , N , ,
, χ
γ
: 61 52 kN 12 02 kN= > =b ,Rd Ed
N , N ,
č
E = 12,07
• č č :
3 08 23 572 38 kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 72 38 kN 12 07 kN= > =c ,Rd Ed
N , N ,
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17
č
23. č
E = 23,36
:
ČEČ G CE F
č: 235; = 235 /2 = 23,5 /2
E = 210000 /2 = 21000 /2
g 0 = 1,0
g 1= 1,0
24. č
D= 88,9
= 5,0
A= 13,2 2
= 116,0 4
č 1.
Liy=Liz
NEd NEd
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18
• č č :
13 2 23 5310 20 kN
1 0
⋅ ⋅= = =
y
c,Rd
MO
A f , , N ,
,γ
: 310 20 kN 23 36 kN= > =c ,Rd Ed N , N ,
• :
636 cm=i L
1
.
M
y
Rd b
f A N
γ χ
⋅
⋅=
2 2
2 2
21000 116 059 44 kN
636
⋅ ⋅ ⋅ ⋅= = =
cr
cr
E I , N ,
L
π π
13 2 23 52 28
59 44
⋅ ⋅= = =
y
cr
A f , , ,
N ,λ
a ,α → = 0 21
( ) 20 5 1 0 2 , ,Φ α λ λ = ⋅ + ⋅ − +
( ) ( )
2 20 5 1 0 2 0 5 1 0 21 2 28 0 2 2 28 3 32 = ⋅ + ⋅ − + = ⋅ + ⋅ − + =
, , , , , , , ,Φ α λ λ
2 2
1 χ
Φ Φ λ =
+ −
2 2 2 2
1 10 17
3 32 3 32 2 28= = =
+ − + −
, , , ,
χ Φ Φ λ
1
13 2 23 50 17 52 73 kN
1 0
⋅ ⋅= ⋅ = ⋅ =
y
b.Rd
M
A f , , N , ,
, χ
γ
: 52 73 kN 23 36 kN= > =b ,Rd Ed
N , N ,
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25.
č
ć
: 7,36
6.
19
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č
č :
27. č
2,53
27.
20
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:
Čč
57 ; 4 ; 5,23 /
: 2 ⋅ 22,5 45
: 45 ⋅ 5,23 235,35
28.
';
21
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:
Čč
57 ; 2 ; 2,71 /
: 16 ⋅ 1,20 + 15 ⋅
: 48 ⋅ 2,71 130,08
:
Čč
70 ; 4 ; 6,51 /
: 19,5
: 19,5 ⋅ 6,51 126,
';
⋅ 1,92 48
';
5
22
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č :
Čč
51 ; 2 ; 2,42 /
: 4 ⋅ 15 ⋅ 1,13
: 67,80 ⋅ 2,42 164
:
Čč
88,9 ; 5 ; 10,3 /
: 2 ⋅ 6,36 12,7
: 12,72 ⋅ 10,30 13
';
7,80
,08
';
2
1,02
23
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č
235,35 + 130,08 + 126,95
656,46 () + 13
35.
:
+ 164,08 + 131,02
,02 ( ) 787,48
34. ć
ć
24
č
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36.
37. č
č :
ć
ć
15,15
25
č
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26
38.
č
4 5 0
1 5 0
1 5 0
450
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40.
39. ć
ć
27
č
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41. č
č :
(1) :
č
(2) :
č
(3)
*
đ
ć ,
(
ć
0,52
č
č : 2,53
č
č : 15,15
: ć č
*: 12,46
č č : 0,
(č ).
. č
) ,
*: 29,95
*: 73,26
2
č ć
č .