ΒΑΣΙΚΕΣ ΔΔΙΑΑΤΑΞΕΙΙΣ ΕΥΡΩΚΩΔΙΚΑ...
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88
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2014
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8
1
:
.
(Principles) , ,
,
, .
.
.
,
.
,
,
,
.
(
) . , ,
. ,
,
. ,
,
.
E0, .1.4
E0, .1.4
-
2
( )
.
,
,
:
+ =
= ....
Gk =
=
Qk =
AEd =
G =
=
G =
0 =
1 =
2 =
=
, 8,
:
d = Gk,j + + ED + 2,iQk,i , j 1, i 1
0 1 2
( ) 0.7 0.5 0.3
( ) 0.7 0.5 0.3
( C) 0.7 0.7 0.6
( D) 0.7 0.7 0.6
( E) 1.0 0.9 0.8
. , W30kN
( F) 0.7 0.7 0.6
. , 30kNW160kN
(. G) 0.7 0.5 0.3
( ) 0 0 0
>1000m 0.7 0.5 0.2
1000m 0.5 0.2 0
0.6 0.2 0
(-) 0.6 0.5 0
. (6.12b) 0
1.1 E0
-
8
3
ED
, dx EEdy, :
2Edy
2EdxED EEA
:
AED = dx + 0,30dy
AED = 0,30dx + dy
+
-
4
8 A, B, C, D E
. , S1 S2,
. S2
.
S1
(site amplification) -
.
, vS,30, ,
NSPT ( 30 cm).
vS,30
30 m :
N,iv
hv
1 i
iS,30
30
:
hi = (m)
vi = i ( 10-5,
)
= 30 m .
,
. ,
,
. ,
,
(
):
,
C
.
(3.1) 8
-
8
5
-
S,30 SPT cu (kPa)
A 5 m
> 800 _ _
B , , , ,
360 - 800 > 50 > 250
C , -
180 - 360 15 - 50 70 - 250
D ( ),
< 180 < 15 < 70
E vS C D 5 m 20 m, vS > 800 m/s
S1 10 m / (P > 40)
< 100
(-)
_ 10 - 20
S2 , , S1
-
6
agR, .
, 1, 2 3
, 2003 agR/g
= /g 2003,
.
agR/g
agR /g
1 0.16
2 0.24
3 0.36
agR
, TNCR = 475 ,
TNCR
- ( NCR
PNCR 50 ).
:
ag = IagR
: , ,
V, 2000.
, .
-
0.80
, .. , .
1.00 ,
.
1.20
,
, .. ,
, .
. 4.2.5 4.3 8.
. 3.2.1(3) 8
-
8
7
IV 1.40
, .. ,
,
, .
,
.
. :
C:
C D:
D 4.0:
.
, SDe(T), :
2
eDe2
)()(
TTSTS
>1
.
30m.
ST,
. ST
5 E8.
,
ST 1.00
. ,
, T (sec)
Se / ag
2.5S
S
0 C TD
2.5STC/T
2.5STCTD/T2
(3.7) 8
-
8
.
5 E8, ,
.
ST
/ ST
1
i < 15
i > 15
1.00
1.20
2
i < 15
15 < i < 30
i > 30
1.00
1.20
1.40
3 1
i < 15
i > 15
1.00
1.44
4 2
i < 15
15 < i < 30
i > 30
1.00
1.44
1.68
,
:
1521)(
B
ge .T
TSaTS 0
52)( ge .SaTS C
T
T.SaTS Cge 52)( C D
2
DCge 52)(
T
TT.SaTS
D 4 sec
: ag = agR
S = (. )
= . =5% =1,
=5%.
,
:
5505
10.
() 5 E8.
(3.2) (3.5) 8
(3.6) 8
-
8
9
8 , 1
2,
, C D S.
,
1, S
.
S TB (sec) TC (sec) TD (sec)
A 1.00 0.15 0.40 2.50
B 1.20 0.15 0.50 2.50
C 1.15 0.20 0.60 2.50
D 1.35 0.20 0.80 2.50
E 1.40 0.15 0.50 2.50
:
1031)(
B
vgve .T
TaTS 0
03)( vgve .aTS C
T
T.aTS Cvgve 03)( C D
2vgve
03)(T
TT.aTS DC
D 4 sec
.
avg /ag TB (sec) TC (sec) TD (sec)
0.90 0.05 0.15 1.00
,
:
dg = 0.025agSTCTD
(3.8) (3.11) 8
(3.12) 8
-
10
.
(
),
,
.
q.
(: ,
, ).
,
Sd ()
:
3
252
3
2)(
B
gdq
.
T
TSaTS 0
q
.SaTS
52)( gd C
gC
gd
52( a
T
T
q
.Sa)TS C D
g2DC
gd
52)( a
T
TT
q
.SaTS
D 4 sec
, =0.2.
ag = agR.
q
.
.., q
.
, 5%. ,
,
.
q
. ( []
[]) .
:
(3.13) (3.16) 8
. 3.2.2.5(3)
-
8
11
avg =0.90ag.
S=1.0
.
q 1.5 .
q > 1.5 .
(
)
:
ik,iE,jk, QG
:
E,i = 2i
= 3.7.
2i = i
1-1 1 E0.
A-C
-
1.0
0.8
0.5
D-F 1.0
E,i i
2i (1) : ()
Qk,i
()
-
.
. ,
-
E0 2i .
. 3.2.4. 8
4.2. 8, .
(3.17) 8
-
12
q>1,
:
ds = qd de
qd =
de =
.
qd = q ( qd
q TC).
ds
.
(4.23) 8
-
8
13
8,
.
:
( ).
( au/a1).
:
,
. :
.
.
(
):
,
5%
.
=
.
.
,
( ).
, L, , H, I,
.
. 4.2.3.2 8
-
14
4, : 4, :
= Lmax/Lmin
Lmax Lmin
, .
x y,
e0 r
:
y
e0x 0,30rx
rx s
x
e0y 0,30ry
ry s
:
e0x =
( )
x,
( e0y).
rx = (
ry):
y
rx
.
,
. 3.3.3 2000,
0 ,
.
s =
:
s
(4.1.a) (4.1b) 8
-
8
15
,
25%
( 20%
).
:
, ,
,
, ,
,
.
,
.
, .
,
50% .
,
.
, pilotis
- .
,
:
()
,
20%
, :
2001
21 .L
LL
. 4.2.3.3. 8
. 4.1. 8
-
16
()
15%
:
20013 .L
LL
()
15%
50%
:
50013 .L
LL
(), ,
,
75%
.
, .
()
,
30%
,
10%
:
300top
.L
LL
100
1
21 .L
LL
-
8
17
....
..
.
,
. ,
() .
,
.
-
18
..
,
65%
.
,
65%
.
()
.
-
,
50%
.
-
,
50%
.
:
i.
,
20%
.
ii.
0.5 sec (
).
, . : rx s ry
s .
50%
1/3
.
d 0.3 .
. 5.1.2. 8.
-
8
19
E8, ( /
) .
,
,
.
, ,
.
-
(.. ),
.
. ,
, : ()
()
,
, ,
.
:
1.
15%
.
.
2. ,
,
. ,
-
, ,
, ,
-.
, ,
-, -
.
.4.2.2 8
. . (4.1a), (4.1b) .4.2.3.2
-
20
5
9 ( ).
(
),
.
(- effects).
:
,
,
.
.
: drift drA
F
(
)
.
.
: drift drB
F
2 8
FA ( ).
2
: F(qdr)/dr.
,
o drift
.
( )
, :
.4.2.2 8
. .4.3.4 C8
.4.4.2.3(4)
M.N. Fardis, Seismic Design, Assessment and retrofitting of Concrete Buildings Based on EN-Eurocode 8, Springer
-
8
21
0.1:
0.1 < 0.2:
1/(1-)
0.2 < : -.
,
, ,
( ) q=1.
q=1,
,
.
,
, 5-9
EC8. ,
:
.
.
, .
.5.7 8
(4.28) . 4.4.2.2. 8
-
22
--
E8, - (, )
,
. -
(, , ,
, ) (infills).
-
.
.
:
Fa = (SaWaa)/qa
:
Fa = ..
Wa =
a = . , a=1.0,
, a 1.5.
qa =
.
Sa = , :
Sa = aS{3(1+z/H) / [1+(1-Ta/T1)2] - 0.5} aS
a = (ag/g)
S =
Ta =
1 =
z =
(
)
= .
(4.25) 8
. 4.3.5 8
(4.24) 8
-
8
23
qa
qa
1.00
,
2.00
,
,
()
. 4.4 8
-
24
....
.. :
( )
( )
.
(
),
2.
,
.
,
, , ,
.
,
. ,
, ,
.
,
IV 2 3.
,
q (
q , ).
(),
(M).
-
8
25
, q,
:
q = q0 kw 1.5
:
q0 =
, .
, q0 20%.
50
13)1(
1
0
.
/kw
0 = ,
ww /h 0 , .
, 0
:
i
wii
wi0 h
, u 1 :
1 =
1
,
.
u =
,
.
u/1 .
(5.1) 8
-
26
q0
M
103 /. u 154 /. u
3.0 104 /. u
2.0 3.0
1.5 2.0
u/1
u/1
1
1.10 1.05
1.20 1.10
1.30 1.15
1.00 1.00
1.10 1.05
1.20 1.10
1 , u/1 1.0 , .
u/1
, -
(pushover).
, u/1
.
pushover.
(5.1) 8
-
8
27
, , : max1u
1.5,
pushover .
1
, q, :
1
& .
.
-
& .
.
-
3.30 2.64 3.15 2.52 4.95 3.96 4.20 3.36
3.60 2.88 3.30 2.64 5.40 4.32 4.95 3.96
3.90 3.12 3.45 2.76 5.85 4.68 5.17 4.14
1 =
= =
2
, q, kw=1.0:
1
& .
.
-
& .
.
-
3.00 2.40 3.00 2.40 4.00 3.20 4.00 3.20
3.00 2.40 3.00 2.40 4.40 3.52 4.20 3.36
3.60 2.88 3.30 2.64 5.40 4.32 4.95 3.96
1 =
= =
-
28
, 8
..
.
,
.
,
. ,
.
rx s
ry s
:
x, y =
rx, ry = x y
, :
y
x
K
Kr
x
y
K
Kr
K =
Kx, y = x y
s = :
m
IKMs
=
..
m =
. 5.2.2.1(4) 5.2.2.1 (6) 8
(4.1b) 8
-
8
29
.
,
.
,
,
. ,
. 3.3.3 2000,
0 , .
. 3.3.3 2000,
:
z
yx
ucr
z
xy
ucr
:
ux, uy = x y 0
Fi,
,
x y .
z =
cFi.
c = (.. c=1).
(5.2) (5.2),
:
1s
x
r 1
s
y
r
,
, rmx rmy, 2000,
:
(3.5 ,) 2000
-
30
1y
KMKM,
mK
IK
1
x
KMKM,
mK
IK
,
x y :
KM
KM,
I
K ,
m
K xx ,
m
K yy
, ,
:
x y
,
x y
,
( )
:
, ,
x y,
, .
rmx rmy
rx ry E8
.
. ,
.
.
-
8
31
....
.
. ( ), VEd,
, 1,d 2,d,
.
. 1,d 2,d
:
i:
Rb
RciRb,Rddi,
M
MMM Rb > Rc
iRb,Rddi, MM Rb < Rc
i ( ):
iEd,di, MM
:
1.0
Rd = =
1.2
Rb,i = i
d,i = i
Rc =
(
)
Rb =
.
.5.4.2.2 8
. (5.8) 8
-
32
beff,
,
.
. 5.2.3.3(3) 8
-
8
33
....
,
,
(
5-8 8).
:
MRc 1.3MRb
:
MRc = .
MRb = .
,
MRb.
.
, ,
,
0.3 (d 0.3).
(4)
, (5.27)
,
(3) (4) .
8
,
(4.29) . ,
.
(4.29) 8
. 4.4.2.3 8
. 5.2.3.3(2) 8
. 5.2.3.3(2) 8
-
34
, , ,
:
Ec
RciEc,iRc,
M
MMM
, :
EbEc MM
(4.29) 8
:
Eb
RbiEc,iRc, 31
M
M.MM
(4.5) ,
aCD (
).
,
( ), VEd,
, 1,d 2,d,
.
: ()
( ,
), ()
,
.
1,d 2,d :
Rb < Rc :
Rc
RbiRc,Rddi,
M
MMM
Rb > Rc : iRc,Rddi, MM
:
.
1.1
Rd =
1.3
Ec,1
Ec,2
Eb,2
Eb,1
. 5.4.2.3 8
. (5.9) 8
-
8
35
Rc,i = i
Rc =
Rb =
.
, :
cl
d,2d1,Ed
MMV
cl .
,
,
. ,
c ,
,
, .
.
. 5.9(4) 8
-
36
c
, : c = b/cos.
15%
: b = 0.15L /cos :
c = 0.15L /cos2
c
:
1.
,
:
VEd,1 = fvkLtw
L tw
fvk ,
.
2. RdMRc,i
c, MRc,i
Rd=1.1 Rd=1.3 .
:
VEd,2 = 2RdMRc,i /c
,
:
fvkLtw VEd = min
2RdMRc,i /c
,
,
:
.
RdMRc,i
, MRc,i
Rd=1.1
Rd=1.3 .
-
8
37
hc, hc
.
1.5hc,
.
-
38
....
, ,
:
4.00 m
w min
2hw/3 ( hw = )
(
) . ,
,
.
, ,
,
.
,
.
,
:
,
65%
(
). ,
,
.
, (.
)
20%
.
,
, : T1 0.5 sec.
,
: rx s ry s.
.
.5.2.2.1.(3) 8
-
8
39
,
( ), :
( )
.
, q0,
1.5
( 2/3).
,
.
.5.2.2.1(7) 8