EC2_8_VS_Old CYS

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:

www.3dr.eu/www.audesy.com

AuDeSy / 3DR .

3

2 / CYS159

,


AuDeSy / 3DR .


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

,


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 ,


AuDeSy / 3DR .

10


AuDeSy / 3DR .


EC8

AuDeSy / 3DR .

11

EC8

:


AuDeSy / 3DR .

,

( .),

.


EC8

AuDeSy / 3DR .

12

. , :

) , PNCR, 50 , TNCR, ) .

. .


EC8

AuDeSy / 3DR .

,

" " , PDLR, 10 , TDLR. PDLR =10% TDLR = 95 .

, , , .


EC8

AuDeSy / 3DR .

13

EC8

EC8 EC8

--

V

--

.

0

IV

.

0.8

0.5

, , , , .

1

1

(, , .).

- , , . - - , , , ., - .

1.2

1.5

IV

(, , )

- , , - 15 .

1.4


,

, (.4.1.3.)


AuDeSy / 3DR .

14

.

, q .

, 1.5, .

EC8


AuDeSy / 3DR .

28

- 2

- 8

- 8

:

q

(). V ( ) 2 3 : ().

. IV.


EC8

AuDeSy / 3DR .

15

29

, &

: >65% Vbase (= )

: > 65% Vbase.

: 35 % 65% Vbase.

:

50 % 65% Vbase.

: 50 % 65% Vbase.


AuDeSy / 3DR .

30

q = qo . Kw > 1.5

qo =

kw =

kw = 1,0

0,5 kw = (1+)/3 1

= hwi / lwi ( )


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


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 /


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


AuDeSy / 3DR .

. .

()

EC8 K


AuDeSy / 3DR .

18

, ,

EC8


AuDeSy / 3DR .

, , IV

EC8/


AuDeSy / 3DR .

19

EC8


.

- ( ) .

.

EC8 /


AuDeSy / 3DR .

20


AuDeSy / 3DR .


EC8

AuDeSy / 3DR .

21

TB, TC TD S .

( :

1 2

, Ms, 5,5, 2).

1

EC8


AuDeSy / 3DR .

EC8


AuDeSy / 3DR .

22

EC8 /


AuDeSy / 3DR .

- , .

, , (" ').

q.

q , .

EC8


AuDeSy / 3DR .

23

, avg ag, , S 1.0.

q 1,5 .

EC8 /


AuDeSy / 3DR .


EC8 /

AuDeSy / 3DR .

24

:

E,i i.


EC8 /

AuDeSy / 3DR .


AuDeSy / 3DR .

25

:

,

,

q,

- .

EC8 .

-


AuDeSy / 3DR .


EC8

AuDeSy / 3DR .

26

0,8.


EC8

AuDeSy / 3DR .


AuDeSy / 3DR .

27

, .

.

, , 5% .


EC8

AuDeSy / 3DR .


AuDeSy / 3DR .

28

.

= Lmax/Lmin

29

,

.

, .


EC8

AuDeSy / 3DR .


EC8

30

2000: , , .

, .


AuDeSy / 3DR .

.

-

.

EC8 /


AuDeSy / 3DR .

31

, .

( -) , .

EC8 /


AuDeSy / 3DR .

"

"

- (pushover)

- ().


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


AuDeSy / 3DR .

eai = 0,05 Li


AuDeSy / 3DR .

33

90%

>= 5% .

k 3 n0.5 Tk 0,20 s k n ,Tk k .

4 /

T 0.40sec .

EC8


AuDeSy / 3DR .

: Tj 0,9 Ti

, EE :

EE (, , )

EEi i

" ".


AuDeSy / 3DR .

34

, : , Mai i:

Mai = eai Fi


AuDeSy / 3DR .

.

.

:

H =

EC8


AuDeSy / 3DR .

35

:

a) EEdx "+" 0,30EEdy

b) 0,30EEdx "+" EEdy

EEdx x

Eedy y

EC8


AuDeSy / 3DR .

avg>0,25g

20m

5m;

.

EC8 /


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


AuDeSy / 3DR .

, - .

EC8 /


AuDeSy / 3DR .

37

- .

.


EC8 /

AuDeSy / 3DR .

EC8 : . : , .


AuDeSy / 3DR .

38

:

EC8 (.. ).

: .

:

.


AuDeSy / 3DR .

: , .

EC8:

>= 50% : EC8 .


AuDeSy / 3DR .

39

: .

:

.

.

.


AuDeSy / 3DR .

, .

.

< 50% :

:

= (1 VRW / VEd )

40

:

.

, .


AuDeSy / 3DR .

( 5 10%). , .

:

.


AuDeSy / 3DR .

41

81

lc = / cos , : , ()

: 2 x ( , MRd,c) , lc

AuDeSy / 3DR .

, :

=

.

, , , .

.


AuDeSy / 3DR .

42

EC8


AuDeSy / 3DR .

Ed Rd

Ed

Rd


EC8 /

AuDeSy / 3DR .

43

:

MRc 1,3MRb

MRc

MRb .

( )


EC8 /

AuDeSy / 3DR .

3)

EF,G -

EF,E


EC8

AuDeSy / 3DR .

44

EFd = EF,G + Rd EF,E ( , , ....)

= 1 Rd= 1,4


EC8

AuDeSy / 3DR .

:

: (SRSS)

0.7.

-


EC8 /

AuDeSy / 3DR .

45

,

.


EC8

AuDeSy / 3DR .

- : dr 0,005h - : dr 0,0075h

: dr 0,010 h dr h

0.4 IV = 0.5 .


EC8 /

AuDeSy / 3DR .

46


AuDeSy / 3DR .

X, M, Y

B C B C C


EC8 /

----- C16/20 C20/25

AuDeSy / 3DR .

47

fyk0.95 1.25fyk

C

C


AuDeSy / 3DR .

94

, .

:

) .

) .

) .


AuDeSy / 3DR .

48

95

= ( ) 85%

- = 2qo - 1 T1 TC

- = 1+2(qo - 1)TC/T1 T1 < TC

qo T1 TC


AuDeSy / 3DR .

96

d = 30 d sy,d bc/bo -0.035

d

d

sy,d

bc

bo


AuDeSy / 3DR .

49

97


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, :


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 .


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.


EC8

, Vd, , Vd.

VEd = VEd

o :

() = 1.5

()

, MRd, , Md:

52


EC8

AuDeSy / 3DR .

EC8 ,

lw 4m, - .

, , :

1. 65% ( ).

2. 20% ( ).

3. 1 < 0.5 s ( -- ,

).


AuDeSy / 3DR .

53

1. M N .

2. (1+q)/2.

, .


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 .

----


AuDeSy / 3DR .

54

- C8() C8() C2


AuDeSy / 3DR .

- 8() 8() 2


- C8() C8() C2

AuDeSy / 3DR .

55


& C8() C8() C2

AuDeSy / 3DR .

- C8() C8() C2


56


- - C8() C8() C2

- - C8() C8() C2


AuDeSy / 3DR .

57


- C8() C8() C2


58


EC8 3

:

.

AuDeSy / 3DR .


EC8 3

L 1 :

L 2 :

L 3 :

AuDeSy / 3DR .

59


1) : o (.. )

2) : ,

3) :

EC8 3

AuDeSy / 3DR .


1.

2.

3.

4.

EC8 3

AuDeSy / 3DR .

60


EC8 3

1.

2.

3.

4.

AuDeSy / 3DR .


EC8 3

1.

2.

3.

AuDeSy / 3DR .

61


EC8 3

AuDeSy / 3DR .


EC8 3

q

AuDeSy / 3DR .

62


EC8 3


f(V) f() ------------ + ------------

63

, 8 2011

2 8

, . ,

,

Documents

EC2_8_VS_Old CYS