1
, 8 2011
2 8
2 www.3dr.eu/www.audesy.com
26
77 , ,
1201
1470
1546 ,
1718
1930
1941
1953 40
1995
AuDeSy / 3DR .
2
8/2
8/2
,
. , ..
www.3dr.eu/www.audesy.com 3
AuDeSy / 3DR .
4
EN 1990 0:
EN 1991 1:
EN 1992 2:
EN 1993 3:
EN 1994 4:
EN 1995 5:
EN 1996 6:
EN 1997 7:
EN 1998 8:
EN 1999 9:
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AuDeSy / 3DR .
3
2 / CYS159
,
www.3dr.eu/www.audesy.com 5
AuDeSy / 3DR .
www.3dr.eu/www.audesy.com
XS1 (C30/37)
() XF3 (C30/37)
(100 ) XS1 (C45/55) ()
6
EC2
AuDeSy / 3DR .
4
7
fcd=fck/c
c=0.85xfcdx1000c (250c+1)
c2 =-20/00
CYS159
EC2
AuDeSy / 3DR .
8
The application rules for design and detailing in this Eurocode are valid for a specified yield strength range, fyk = 400 to 600 MPa.
a) an inclined top branch with a strain limit of ud and a maximum stress of kfyk/ s at uk, where k = (ft/fy)k
b) a horizontal top branch without the need to check the strain limit.
The value of ud for use in a Country may be found in its National Annex. The recommended value is 0,9uk
3.1.3
S220 S400
10.4.1()
smax=.01 ( )
EC2 CYS159
AuDeSy / 3DR .
5
OKA (Vmin)
9
VRd,c is the design shear resistance of the member without shear reinforcement. VRd,c = [CRd,c(100l fck)1/3 + k1 cp] bw x d with a minimum VRd,c = (vmin + k1cp) bw x d where: fck is in MPa K=1+(200/d)0.52,0 (with d in mm) l=1(d in m) l
6
11
16.2.4
5m
a x l / h
7
13
14
>=200mm
V
8
15
lb,rqd = (/4) (sd/fbd )
lbd=a1 a2 a3 a4 a5 lb,rqd
17.3.3
lb = (/4) (fyd/fbd )
17.4.1.1
lb,net =a lb (As,cal/As,ef)
a=1 0.7
EC2 CYS159
AuDeSy / 3DR .
16
a1 =
a2 =
a3 =
a4 = (> 0,6)
a5 = .
a2 a3 a5 0,7
a1 = 1,0
a1 = 0,7 > 3 1.
0,7 a2 1,0 a2 = 1- 0,15(cd -)/
0,7 a3 1,0 a3 = 1-
a4 = 0,7
0,7 a5 1,0 a5 = 1- 0,04p
: a1 = 1,0 a2 = 1,0 a3 = 1,0 a4 = 0,7
AuDeSy / 3DR .
9
8
,
www.3dr.eu/www.audesy.com 17
AuDeSy / 3DR .
EN 1998-1
1-4 5: 6: 7: 8: 9: 10
EN 1998-2 EN 1998-3 EN 1998-4 , . EN 1998-5 , EN 1998-6 ,
18 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
10
19 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
20 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
11
EC8
:
21 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
,
( .),
.
www.3dr.eu/www.audesy.com 22
EC8
AuDeSy / 3DR .
12
. , :
) , PNCR, 50 , TNCR, ) .
. .
www.3dr.eu/www.audesy.com 23
EC8
AuDeSy / 3DR .
,
" " , PDLR, 10 , TDLR. PDLR =10% TDLR = 95 .
, , , .
24 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
13
EC8
EC8 EC8
--
V
--
.
0
IV
.
0.8
0.5
, , , , .
1
1
(, , .).
- , , . - - , , , ., - .
1.2
1.5
IV
(, , )
- , , - 15 .
1.4
25 www.3dr.eu/www.audesy.com
,
, (.4.1.3.)
26 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
14
.
, q .
, 1.5, .
EC8
27 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
28
- 2
- 8
- 8
:
q
(). V ( ) 2 3 : ().
. IV.
www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
15
29
, &
: >65% Vbase (= )
: > 65% Vbase.
: 35 % 65% Vbase.
:
50 % 65% Vbase.
: 50 % 65% Vbase.
www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
30
q = qo . Kw > 1.5
qo =
kw =
kw = 1,0
0,5 kw = (1+)/3 1
= hwi / lwi ( )
www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
16
31
, qo,
u/1 1.5: , 1 .
1.5 2
2 3
3 4u/1
3u/1 3-4.5
4.5u/1 4,5-6.75
www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
/
1.5 / ? 1.5 / ? 2 / ?
1.5 2 3
(>50% : ) /
1.5 / 1.4 3 / 2.1 4au/a1 / 3.8
(>50% ) /
1.5 / 2 3au/a1 / 3 4.5au/a1 / 4
. / 1.5 / 2 3au/a1 /3.5 4.5au/a1 / 5
EC8 /
32 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
17
EC8
X M Y
1.5 3.6-3.9 4.5-6.8 1.4-2 2.1-3.5 2.8-5
33 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
. .
()
EC8 K
34 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
18
, ,
EC8
35 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
, , IV
EC8/
36 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
19
EC8
37 www.3dr.eu/www.audesy.com
.
- ( ) .
.
EC8 /
38 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
20
39 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
40 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
21
TB, TC TD S .
( :
1 2
, Ms, 5,5, 2).
1
EC8
41 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
EC8
42 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
22
EC8 /
43 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
- , .
, , (" ').
q.
q , .
EC8
44 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
23
, avg ag, , S 1.0.
q 1,5 .
EC8 /
45 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
46 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
24
:
E,i i.
47 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
48 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
25
:
,
,
q,
- .
EC8 .
-
49 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
50 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
26
0,8.
51 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
52 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
27
, .
.
, , 5% .
53 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
54 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
28
.
= Lmax/Lmin
29
,
.
, .
57 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
58 www.3dr.eu/www.audesy.com
EC8
30
2000: , , .
, .
59 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
.
-
.
EC8 /
60 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
31
, .
( -) , .
EC8 /
61 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
"
"
- (pushover)
- ().
62 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
32
EC8 /
:
F = Sd (T ) m
Sd (T)
T
m
, :
= 0,85 T1 < 2 TC = 1,0
Fd = Cd M
Cd = I Amax a / K
63 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
eai = 0,05 Li
64 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
33
90%
>= 5% .
k 3 n0.5 Tk 0,20 s k n ,Tk k .
4 /
T 0.40sec .
EC8
65 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
: Tj 0,9 Ti
, EE :
EE (, , )
EEi i
" ".
66 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
34
, : , Mai i:
Mai = eai Fi
67 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
.
.
:
H =
EC8
68 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
35
:
a) EEdx "+" 0,30EEdy
b) 0,30EEdx "+" EEdy
EEdx x
Eedy y
EC8
69 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
avg>0,25g
20m
5m;
.
EC8 /
70 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
36
:
EEdx ''+" 0,30 EEdy "+" 0,30 EEdz
0,30 EEdx "+" EEdy "+" 0,30 EEdz
0,30 EEdx "+" 0,30 EEdy "+" EEdz
EC8
71 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
, - .
EC8 /
72 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
37
- .
.
73 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
EC8 : . : , .
74 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
38
:
EC8 (.. ).
: .
:
.
75 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
: , .
EC8:
>= 50% : EC8 .
76 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
39
: .
:
.
.
.
77 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
, .
.
< 50% :
:
= (1 VRW / VEd )
40
:
.
, .
79 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
( 5 10%). , .
:
.
80 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
41
81
lc = / cos , : , ()
: 2 x ( , MRd,c) , lc
AuDeSy / 3DR .
, :
=
.
, , , .
.
82 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
42
EC8
83 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
Ed Rd
Ed
Rd
84 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
43
:
MRc 1,3MRb
MRc
MRb .
( )
85 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
3)
EF,G -
EF,E
86 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
44
EFd = EF,G + Rd EF,E ( , , ....)
= 1 Rd= 1,4
87 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
:
: (SRSS)
0.7.
-
88 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
45
,
.
89 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
- : dr 0,005h - : dr 0,0075h
: dr 0,010 h dr h
0.4 IV = 0.5 .
90 www.3dr.eu/www.audesy.com
EC8 /
AuDeSy / 3DR .
46
91 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
X, M, Y
B C B C C
92 www.3dr.eu/www.audesy.com
EC8 /
----- C16/20 C20/25
AuDeSy / 3DR .
47
fyk0.95 1.25fyk
C
C
93 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
94
, .
:
) .
) .
) .
www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
48
95
= ( ) 85%
- = 2qo - 1 T1 TC
- = 1+2(qo - 1)TC/T1 T1 < TC
qo T1 TC
www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
96
d = 30 d sy,d bc/bo -0.035
d
d
sy,d
bc
bo
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AuDeSy / 3DR .
49
97
www.3dr.eu/www.audesy.com
0,0018 fcd max = + ------------ x --------- sy,d fyd = max =0.5 =2q0-1 q0=5 =9 fcd=25/1.5=16.6 fyd=500/1.15=434
max = 6.2/ !!!
= max
=0.8 =2q0-1 q0=5 =9 fcd=25/1.5=16.6 fyd=500/1.15=434
max = 15/ !!!
AuDeSy / 3DR .
98
, -, dbL, :
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AuDeSy / 3DR .
50
99
EC8
C30 B500c d = 0.4 fCTM=2.9 fyd=500/1.15 Rd = 1.2 kD =1 (H)
/max=0.5
7.5 x fCTM x (1 + 0.8 d) / (Rd x fyd)
dbl< 0,055 x hc 20 hc > 37.
7.5xfCTMx(1+0.8d)/[(Rd x fyd) x (1+kD x /max)
dbl< 0,04 x hc 20 hc > 50.
AuDeSy / 3DR .
100 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
51
Mi,d = rd MRc,i min ( 1 , MRb / Mrc ) Rc,i = i ( ), . Rc, Rb = i, , .
Mi,d=rdMRb,imin(1,MRc/Mrb) MRd,i=
i, ,
Rd=1.0 M, Rd =1.2 Y.
101 www.3dr.eu/www.audesy.com
EC8
, Vd, , Vd.
VEd = VEd
o :
() = 1.5
()
, MRd, , Md:
52
103 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
EC8 ,
lw 4m, - .
, , :
1. 65% ( ).
2. 20% ( ).
3. 1 < 0.5 s ( -- ,
).
104 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
53
1. M N .
2. (1+q)/2.
, .
105 www.3dr.eu/www.audesy.com
EC8
AuDeSy / 3DR .
C8() C8() C2
2h 1.5h h h
min 1.4/fyk 0.5fctm/fyk 0.13%, 0.26fctm/fyk
max 7/fyk +0.0018fcd/(sy,dfyd) 4%
As,min, & 212 214 - -
As,min, - 0.25As,-
0.25As,- - -
As,min, . . 0.5As,
0.5As, ---
dbL/hc - .
(1/30hc-III)
---
dbL/hc .
----
106 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
54
- C8() C8() C2
107 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
- 8() 8() 2
108 www.3dr.eu/www.audesy.com
- C8() C8() C2
AuDeSy / 3DR .
55
109 www.3dr.eu/www.audesy.com
& C8() C8() C2
AuDeSy / 3DR .
- C8() C8() C2
110 www.3dr.eu/www.audesy.com
56
111 www.3dr.eu/www.audesy.com
- - C8() C8() C2
- - C8() C8() C2
112 www.3dr.eu/www.audesy.com
AuDeSy / 3DR .
57
113 www.3dr.eu/www.audesy.com
- C8() C8() C2
114 www.3dr.eu/www.audesy.com
58
115 www.3dr.eu/www.audesy.com
EC8 3
:
.
AuDeSy / 3DR .
116 www.3dr.eu/www.audesy.com
EC8 3
L 1 :
L 2 :
L 3 :
AuDeSy / 3DR .
59
117 www.3dr.eu/www.audesy.com
1) : o (.. )
2) : ,
3) :
EC8 3
AuDeSy / 3DR .
118 www.3dr.eu/www.audesy.com
1.
2.
3.
4.
EC8 3
AuDeSy / 3DR .
60
119 www.3dr.eu/www.audesy.com
EC8 3
1.
2.
3.
4.
AuDeSy / 3DR .
120 www.3dr.eu/www.audesy.com
EC8 3
1.
2.
3.
AuDeSy / 3DR .
61
121 www.3dr.eu/www.audesy.com
EC8 3
AuDeSy / 3DR .
122 www.3dr.eu/www.audesy.com
EC8 3
q
AuDeSy / 3DR .
62
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EC8 3
124 www.3dr.eu/www.audesy.com
f(V) f() ------------ + ------------
63
, 8 2011
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,
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