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EN 1992: 2 1.1EN 1992: 2 1.1
/ .
. ../
, 8 2012
EUROPEAN STANDARD EN 1992-1-1:2004 NORME EUROPENNE EUROPISCHE NORM 2004 ICS: 91.010.30 ; 91.080.40
2: 1-1:
CEN 16 2004. CEN CEN/ CENELEC , . CEN. O (, , ). , CEN , . CEN : , , , , , , , , , , , , , , , , , , , ,, , , , , , , , , , , , , , , .
European Committee for Standardisation Comit Europen de Normalisation Europisches Komitee fr NormungEuropisches Komitee fr Normung
: rue de Stassart 36, B-1050 Brussels
2005 All rights of exploitation in any form and by any means reserved worldwide for CEN national members Ref. No. EN 1992-1-1: 2004 E
2
2 :
1.1: 1.2: 2: 3: 3:
2 : , : 0: 1: (
) 7: 8: 206: ( ) 13670: 10080: 10080:
1992-1-1 2 1-1 12 9 :1 1. 2. 3. 4. 4. 5. 6. 7. 8. 9. 10. 11. 12. A. B. C. D.
E. F. G. H 2 H. 2 I. J.
1992-1-1 2000 .
1992-1-1 / ( ) , 8. ( 1992-1-1 , ) )
1992-1-1 : , ( ) ..
1992-1-1 ,
1992 1 1 1992-1-1 .
- ( )
1992-1-1, , , , (. 19 22 ) ( ) .
: : , , ,
1.1 : : , , , ,
, ,
: 1990 1990
1991 EN 1990
C
S
S
& 1,5 1,15 1,15 1,2 1,0 1,0
3
( t ) = ( t ) ( /E )cc(,t0) = (,t0). (c /Ec)
fck,c = fck (1,000 + 5,0 2/fck) 2 0,05fck (3.24) fck c = fck(1,125 + 2,50 2/fck) 2 > 0,05fck (3.25)fck,c fck( , , 2 fck) 2 , fck ( )c2,c = c2(fck,c/fck)2 (3.26) cu2,c = cu2 + 0,22/fck (3.27)
:
(f f )- (fyk f0,2k) - (fy,max) - (ft) - (uk ft/fyk) - - (fR: . C) - - - -
.. 500C
A B C A B C A B C A B C
f k f0 2k (MPa)
400 600 fyk f0,2k (MPa)
k (f /f ) 1 05 1 08 1,15 1 05 1 08 1,15 k = (ft/fy)k 1,05 1,08,
: - UD UD kFYK/S UK, k = (FT/FY)K- . 1: 1: UD . 0,9UK
EN 206-1
1 X0
:
/ / , . :
EN 206-1
2 XC1
XC2 XC2 ,
. .
XC3 XC3
XC4
, XC2XC2
EN 206-1
3 XD1
XD2 XD2 ,
.
XD3
. . .
EN 206-1
4 XS1
-
.XS2
XS3 ,
.
EN 206-1
5 / 5. / XF1
,
XF2
.
XF3
XF4
. .
EN 206-1
6. X1
EN 206-1
X2
EN 206-1,
X3 EN 206-1
E 1N E.1N:
4.1
XC1 XC2 XC3 XC4 XD1 XD2 XD3 XS1 XS2 XS3
C20/25 C25/30 C30/37 C30/37 C35/45 C30/37 C35/45
/1
X0 XF1 XF2 XF3 XA1 XA2 XA3
C12/15 C30/37 C25/30 C30/37 C30/37 C35/45
1: : freeze/thaw=/
, , : , , : cmin, , cdev: cnom= cmin + cdev
: : cmin, :- -
-
cmin = max {cmin b; cmin dur + cdur -cdur st -cdur add; 10 mm} cmin a {cmin,b; cmin,dur cdur, cdur,st cdur,add; 0 }
: ( ) ,
(.. ). )
: -
- - -
- - . .
( ) :
+= bbbb wieffeff wieffeff ,00, 2.01.02.0 llbb ieff +=
l = l + a + aleff = ln+ a1+ a2ai=min(1/2h, 1/2t)
:
( , =m) ( 30%) ( ) ( -)
( , , 1.2d)
:
Rd,max d = f d
A
Rd,max fcd
Rd,max,Rd,max = 0.6 (1-fck/250) fcd
:
befaa
bef
h = H/2z = h/2
FF
D h = b
H
h = H/2z h/2
D
B
h b
bFF
D
b
bef = b bef = 0,5H + 0,65a; a h
Fb
abT =41
Fha,T
= 701
41
Fcd,2 c02a
3aFcd,3
Fcd,0Rd,2Rd,3
F = F + FFcd,1rFcd,1l
Rd,1
Fcd,1 = Fcd,1r + Fcd,1l1a
d = kif dF td,1
Rd,max kifcd
Rd,max
F td,2
Fcd
0ccd0c1ccd0cRdu 0,3/ AfAAfAF = Ac0 b1
d1
c1 A
c1 ( Ac0)
h (b2 - b1) h (d2 - d1) h d 3d2 1( 2 1) ( 2 1)
b 3b12 Ac1
2
2 2 10% 1 . 2 , , , , =l0/i lim=20 A B C/n
A 1/(1 0 2 ) ( A 0 7)A=1/(1+0,2ef) ( ef , A=0,7)B= ( , =1,1)C= 1,7-rm ( rm , C=0,7)
21+, m ( m , , )
2
2 2 10% 1 .
2 2 , , FV,Ed:
IEnkF ccds 21, 6.1 LnkF ss
EdV
+
2
2 2 :
: , / -, (1+ef) : ,
. ( ):EI = KcEcdIc + KsEsIs 1 :
+= 1)/(
10Ed
EdEd M
: ( ) ). 2 , 2, 2 , e2, , 2, , 2, , l0, (1/r) (1/r0):1/r0=yd/(0,45d)1/r = KrK/r0e =(1/r)l 2/ce2=(1/r)l02/cc=8 210M2=NEde22 Ed 2
( , ): ( , , , , ) , , )
()
: :: .c-c ( )c c ( )s-s, ( ud=0.9uk=0.9*75=67.5 ud. 20 )
As2 B
(1- c2/cu2)hor
(1- c3/cu3)h
dh
s2
A pA
C p(0)Ap
As1
A p( )
uds , p c
0 c2( ) c3
cu2( ) cu3
y
(): :: :
( , , ) ( , , ) : Vcd=0 ( )
,
( ) )
: 1
():
:
EC2 V V Vd VSd / VRd,c VRd1 V V VRd,s Vwd VRd,max VRd2
():
: Vd < VRd,c , ( ) ). Vd > VRd,c , :
Vd < VRd,max ( , ) V V ( )Vd < VRd,s ( )
():
:
( )1 / 3Rd ,c Rd ,c l ck 1 cp wV C k 100 f k b d = + : fck MPa
200
l = Asl/bd0 ). Ed [ ] ( Ed )
NE .AC [mm2]V [N]VRd,c [N]
()
::
VRd,c = [CRd,ck(100lfck)1/3 + k1cp]bwd
bwbw
():
: V VEd, (a
():
(): : : . VEd, , ( ): V 0 5b df ): VEd0.5bwdfcd : =0.6[1-fck/250] fck MPa -
av
dd
av
()
: :
Moersch, ( : 21.8
()
: :
:
( ) + sincotcotfzAV sw
VRd,max=cwbwz1fcd(cot + cot)/(1+cot2)
( ) += sincotcotfzs
V ywdswRd,s
(=90)
VRd,max=cwbwz1fcd/2 =45, :
ywdsw
Rd,s fzsAV =
: : , 21.8
()
: :
VRd,max=cwbwz1fcd(cot + cot)/(1+cot2) VRd,s()
45 60 75 90( ) += sincotcotfz
sAV ywdswRd,s
45 60 75 90
()
22 2,47 2,67 2,67 2,50
30 1,93 2,00 1,93 1,7340 1 55 1 53 1 41 1 19: :
VRd,s
40 1,55 1,53 1,41 1,1945 1,41 1,37 1,22 1,00
=22 (2.5 ) VRd,max
VRd,max()
45 60 75 9022 0,48 0,42 0,38 0,34
(32% ). ,
()22 0,48 0,42 0,38 0,3430 0,68 0,58 0,50 0,4340 0,91 0,73 0,60 0,4945 1,00 0,79 0,63 0,50
VRd,max( =22)
, , , ,
( 22 ) .
()
: : , (=0) :
A
VRd,max=0.5cwbwz1fcdsin2
= cotfzs
AV ywdswRd,s
1 V 1 VEd VRd,max, , 2 ., 2 . :45 21.8
()
: :
VRd,max=cwbwz1fcd(cot + cot)/(1+cot2)
( ) += sincotcotfzs
AV ywdswRd,s
(. 9.2.2 (3) . ): ( ( ) )w,min=Asw,min/[bws]=0.08(fck)/fyk
wmin()fck(MPa)
16 20 25 30 35 40 45 50 55 60 70 80 90
( )
16 20 25 30 35 40 45 50 55 60 70 80 90
fyk(MPa)
220 1,45 1,63 1,82 1,99 2,15 2,30 2,44 2,57 2,70 2,82 3,04 3,25 3,45
400 0,80 0,89 1,00 1,10 1,18 1,26 1,34 1,41 1,48 1,55 1,67 1,79 1,90
500 0 64 0 72 0 80 0 88 0 95 1 01 1 07 1 13 1 19 1 24 1 34 1 43 1 52
: C20/25 B500C :
500 0,64 0,72 0,80 0,88 0,95 1,01 1,07 1,13 1,19 1,24 1,34 1,43 1,52
500 0,70 0,70 1.10 1.10 1.10 1.30 1.30 1.30
: C20/25 B500C :w, min=0.08(fck)/fyk =0.08(20)/[500]=0.08*4.47/435=0.72. 250/500 8 550mm
()
: :
VRd,max=cwbwz1fcd(cot + cot)/(1+cot2)
( ) += sincotcotfzs
AV ywdswRd,s