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8/13/2019 ConcreteExercises_Lesson6
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P F PF E
P . . . . E A
8/13/2019 ConcreteExercises_Lesson6
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E 1
D ,
EN 1992 1 2
2
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E 1
3
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E 2
C 5 200 ( =25 ). T 1
. T .
M :
C C25/30 L ( : 250 / ; : 471 / ),
BE 500 S
L : 40 ( + ) , : 1 N/ D , : 25 N/ V , : 4.1 N/ ; 2 =0.3
4
W ?
C 500 C ?
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E 2 :
5
= + =200 + 40 = 240
120
; = 25
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E 2 : 500 C . . (1)
A
W ?ME , = ?ME , = ?ME , = ?
, = 2 . , + , + ( , . )= 0.3 . 4.1 + 1 + (25 . 0.2) = 7.23 N/
ME , = , . / 8 = 7.23 . 5 / 8 = 22.6 N /
= 1.35 . (25 . 0.2 + 1) + 1.5 . 4.1 = 14.25 N/ME , = /12 = 14.25 . 5 /12 = 29.7 N /ME , = /24 = 14.25 . 5 /24 = 14.84 N /
6
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( 30 300 1 20.860 450 0.89 18.5390 550 0.625 13.01120 650 0.35 7.29180 750 0.17 3.54240 800 0.11 2.29
(*) T F A.2, EN1992 1 2, .64 = 25 (**) F EN1992 1 2 .33: F 4.2 ( )
E 2 : 500 C . . (2)
MR , , = ( / , ) . () . ME , . (A , / A , )= (1.15 / 1) . () . 14.84 . (250 / 204.9) = 20.8 . ()
7
ME , = 14.84 N / EN1992 1 1 A , , = 204.9 /
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E 2 : 500 C . . (2)
MR , , = ( / , ) . () . ME , . (A , / A , )= (1.15 / 1) . () . 14.84 . (250 / 204.9) = 20.8 . ()
8
ME , = 14.84 N / EN1992 1 1 A , , = 204.9 /
( 30 300 1 20.860 450 0.89 18.5390 550 0.625 13.01120 650 0.35 7.29180 750 0.17 3.54240 800 0.11 2.29
(*) T F A.2, EN1992 1 2, .64 = 25 (**) F EN1992 1 2 .33: F 4.2 ( )
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E 2 : 500 C . . (3)
A
MR , , = ( / , ) . () . ME , . (A , / A , ) . ( ) / = (1.15 / 1) . () . 29.7 . (471 / 409.5) . (175 25) / 175
() = 1, < 350 C= 33.67 N /
9
ME , = 29.7 N / EN1992 1 1 A , , = 409.5 /
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(
30 33.67 20.8 54.47 >22.6 OK60 33.67 18.53 52.20 >22.6 OK90 33.67 13.01 46.68 >22.6 OK
120 33.67 7.29 40.96 >22.6 OK180 33.67 3.54 37.21 >22.6 OK240 33.67 2.29 35.96 >22.6 OK
E 2 : 500 C . . (4)
A
( MR , , ,1 + MR , , ,2) / 2 + MR , , ME ,
10
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(
30 33.67 20.8 54.47 >22.6 OK60 33.67 18.53 52.20 >22.6 OK90 33.67 13.01 46.68 >22.6 OK
120 33.67 7.29 40.96 >22.6 OK180 33.67 3.54 37.21 >22.6 OK240 33.67 2.29 35.96 >22.6 OK
E 2 : 500 C . . (4)
A
( MR , , ,1 + MR , , ,2) / 2 + MR , , ME ,
11
CONCLUSION: T REI 120, REI 240!(CAUTION! T ! T A ,
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E 3C 3 5
4 , .
M : C C 25/30 R 5 8 / , BE 500 S
L : M = 8.8 N / M = 2.9 N /
C = 46 S = 180
REI 240?
12
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E 3 S ( = 0.7)
M , = M . = 8.8 0.7 = 6.2 N /M , = M . = 2.9 0.7 = 2.0 N /
240? = + /2 = 46 + 8/2 = 50 = + + /2 = 46 + 8+ 8/2 = 58
T( ) = 570 C ; T( ) = 500 C(T ) = 0.55 ; (T ) = 0.8
A = 5 . . ( /2) = 251 / = = 180 50 = 130 = = 180 58 = 122
MR , = A . . (T) . 0.9 . = 251 . 500 . 0.55 . 0.9 . 130
= 8.07 N /MR , = A . . (T) . 0.9 .
= 251 . 500 . 0.8 . 0.9 . 122= 11.02 N /
240?
T 140 C ??P !O (EN13381 3), 13
( )
( )
! > ,
! > ,
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E 4
S . T 4 , 500 200 . T
ISO 834 3 .
M : C C 30/37 L 10 , BE 500 S
S 8 , BE 500 S
L : V : 22.4 N/
14
W ?
I 500 C .
40 70 100
200
500
38
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E 4 S (1)
15
A
( )
A
( )
. A4 :B
300 160
60
. A7 :B
600 300
60
2 40 38 520 C 500 C2
70 38 430 C 390 C
1 100 38 420 C 350 C
500
200 2 . 22.5 = 155
200 2 .21.43 =157.14
= 200
60
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E 4 S (2)
16
A
( )
A
( )
. A4 :B
300 160
60
. A7 :B
600 300
60
2 40 38 520 C 500 C2
70 38 430 C 390 C
100 38 420 C 350 C
500
200 2 . 22.5
= 155 200 2 .21.43 =157.14
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E 4 S (2)
17
A
( )
A
( )
. A4 :B
300 160
60
. A7 :B
600 300
60
2 40 38 520 C 500 C2
70 38 430 C 390 C
100 38 420 C 350 C
500
200 2 . 22.5
= 155 200 2 .21.43 =157.14
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E 4 S (3)
T :
F (T) = 2 . A . , (T) + 2 . A . , (T) + A . , (T)= 2 . 78.53 . 365 N/ + 2 . 78.53 . 475 N/ + 78.53 . 475 N/= 169.232 N
T :
F (T) = (T) . 0.8 . . = 155 . 0.8 . 30 N/ . = 3720 N/ .
18
( ) ( )
420 0.95 475 N/
430 0.95 475 N/ 520 0.73 365 N/
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E 4 S (4)B .F (T) = F(T) 169232 N = 3720 N/ .
F : = 169232 N / 3720 N/ = 45.49
T : = (0.8 . ) / 2 = 462 0.8 . 45.49 /2 = 443.8
F , MR (T) = F(T) . = 169.232 N . 0.4438 = 75.1 N
T ( 2 = 0.3) :
ME (T) = (2.5 N/ + 0.3 . 22.4 N/ ) . (4 ) / 8 = 18.44 N .O :ME (T) = 0.7 . ME = 0.7 . 73.95 N = 51.765 N
.
19
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E 4 S (5)T 2%
1 4.2 EN 1992 1 2 .
A 3.5 , 32.04 3.204 % . T ,
.
20
= 3.5
= ?
3.5
( )=
= 3.5
( )
= 3.5
45.49(462 45.49)
= 32.04