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ΣΥΝΔΕΣΕΙΣ ΚΑΤΑΣΚΕΥΩΝ ΑΠΟ ΧΑΛΥΒΑ Κίμων Θωμόπουλος Φωτεινή Πρεφτίτση Θεσσαλονίκη 2011
| Date post: | 24-Nov-2015 |
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pi
2011
1.1.1. 1.2. 1.2.1. 1.2.2. 1.2.3. 1.2.3.1. : 1.2.3.2. : 1.2.3.3. C : 1.2.4. 1.2.4.1. D : 1.2.5. D ( )1.2.6. ( 1.2.7. 1.2.8. ( )1.2.9. 1.2. 10. 1.2.11. 1.2.11.1. 1.3. 1.3.1. 1.2.1. 1.3.1.2. 1.3.1.3. 1.3.1.4. 1.3.1.5. 1.3.2. 1.3.3. 1.3.4. 1.3.5. 1.3.6. 1.3.7. 1.3.8. 2. 2.1. 2.1.1. 2.1.2. 2.1.3. 2.2. ()2.2.1.
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2.2.2. 2.2.3. 2.3. () 2.3.1. 2.3.3. 2.3.4. 2.3.5. 2.3.6. 2.3.7. 2.4. 1( ) 2( ) 3( ) 4( ) 5( ) 6( - ) 7( ) 8( ) 9( ) 10( - ) 11( - ) 12( )
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-53-
pi pi pi pi . pi pi pi pipi pipi pi . pipi pi , pi pi . pi pi . H pi pi pi . pi pi .
2.5 pi pi pi 12-14m. pi pi 5 . pi , pi pi pi , pi pi pi. pipi pi pi pi pi pi pi . pi pi pi, pi . pi pi , pi pi . E pi pi, pi pi pi. pi , pi , pi pi . pi . , pi pi pi , pi . pi pipi pi pi . pipi pi pi pi . pi pi, pi
30: pi pi
-54-
pipi pi pi (pi.. pi). pipi, pipi pipi .
-55-
1 ( ) .
: S235 Ed=200kN ()
1. -pipi :
wL 4 65 2 60 380,0mm= + =
pipi :
{ }= = = = wmaxL 150a 450 65mm
w S235 0,80.
pi :
3uw,Rd w w
w w
f 360F a L 3,0 380 10 237kN 200kN3 3 0,80 1,25
= = = >
- pi : :
-56-
ffw,Edw,Ed
F 0,00277F
3,0 2 60= =
ffw,Edw,Ed
F 0,00277F
3,0 2 60= =
pi pi pipi :
w,Ed w,Ed 0,00277F 2 0,00277F 2 = =
:
2 2 f 2 2 fuw,Ed w,Ed
w M2
f1 360( 3 ) F (0,00277 3 0,00277 ) F 91,90kN2 0,8 1,25
+ = + = =
f fuw,Ed w,EdM2
f 360 0,00277F 2 0,9 =0,9 F 93,57kN
1,25= =
o:
lfw,Edw,Ed
F 0,00128F
3,0 2 2 65= = =
2 l 2 luw,Ed w,Ed
w M2
f 3603 3 (0,00128 F ) F 162,38kN 0,8 1,25
= = =
pi ,pi :
fw,EdF +
lw,EdF =91,90+162,38=254.28kN>200,00kN
2. pi , pi :
= + = + = >
y y 3Rd
00
f f 235 235N 2A 2 65 12 60 12 10 380,6kN 200kN 1,03 3 1,0
, pi 30 , pi :
-57-
( )y o 3t,Rd0
f 235N A 2 65 tan30 60 12 10 380,6kN 200kN 1,0
= = + = >
3. pi, , pi 1993 1-8:2005 ,pi.4.13 pi pi . To =5,82cm2 :
y 2pl,Rd
0
f 235N 2 A 2 5,82 10 273,54kN 200kN 1,0
= = = >
-58-
2 ( ) .
I. , ( ).
II. pi , ( )
III. pi , ( C)
: S275 : 20 pi 8.8 ( pi 0d 22mm= ) : Ed=210kN( ) Ed,ser=150kN( )
I. , . 1. v. .
:
( ) ( )2 2net 0A 2 A t d 2 8,16 10 6 22,0 2 684 1368 mm= = = = 1p 80,00 mm=
0 02,5 d 55,00 mm < 80mm
-59-
d
3net u
2u,RM2
A f 1368 430 10N 0,536 252,24 > 210 kN 1,25
= = =
.
pipi , :
3pl,Rd
816 275N 2 10 448,80 kN > 210 kN1,00
= =
2. pi.
:
3pl,Rd
120 15,00 275N 10 495 kN > 210 kN1,00
= =
.
pi.
3. . 3.1 . , opi :
v,Rd
23ub s
Mb
0,6 f A 0,6 800 2,45 10 210F 2 2 10 188,2 > kN 1,25 2
= = =
pi.
3.2 . pi
-pi pipi:
1d0
e 40 0,60
3d 3 22
= = =
1d0
p 1 80 1 0,96
3d 4 3 22 4
= = =
pi:
ubb d
u
f 800 min 1,0 0,6 1,0 0,60
f 430
= = =
-60-
-pi pi
pipi:
:
pi e2 pi .
pi .
pi pi :
31 b ub,Rd
Mb
k f d t 2.5 0,60 430 20 15 210F 10 154,8 > kN 1.25 2
= = =
-pi pipi:
1d0
e 40 0,60
3d 3 22
= = =
1d0
p 1 80 1 0,96
3d 4 3 22 4
= = =
pi:
ubb d
u
f 800 min 1,0 0,6 1,0 0,60
f 430
= = =
-pi pi
pipi:
21
0
e 30,0k min 2,8 1,7 2,5 min 2,8 1,7 2,12 2,5 2,12d 22
= = = =
pi .
pi :
d31 b u
b,RMb
k f d t 2,12 0,6 430 20 6 210,0F 10 52,51 kN 1,25 4
= = = =
4. pi .
-61-
pi 300 pi -.
pipi pi. 0
pl,Rd 1 y M0N p tan30 2 t f 80 0,577 2 15 275 1,00 380820N 210kN= = = >u,RdN 0,9(80 0,577 2 15 22 15)430 1,25 326566N 210kN= = >
pipi pi
pi 0,9.
5. pi. pi pi :
eff,2,Rd u nt M2 y nv M0V 0,5 f A (1 3)f A / = +
pi:
ntA pi pi nvA pi pi
, , , , ,2
ntA 30 0 6 0 0 5 22 6 0 114 0mm= = , , , , ,
2nvA 120 0 6 0 1 5 22 6 0 522 0mm= =
, ,, , , ( ) , / , ,eff 2 RdV 0 5 430 114 0 1 25 1 3 275 522 0 1 00 102 48kN 210 2kN= + = <
pi.
pi p1=90mm :
, , , , ,2
nvA 130 0 6 0 1 5 22 6 0 582 0mm= =
, ,, , , ( ) , / , ,eff 2 RdV 0 5 430 114 0 1 25 1 3 275 582 0 1 00 112 01kN 210 2kN= + = >
pi pi.
II. , . pi :
-62-
ss,Rd,ser p,C
M3,ser
k n F F
=
pi: ks=1,0 pi. n=2 pi . =0,2 pi D ( pi pi).
= p,C ub sF 0,7f A =0,72 3800 2,45 10 10 =137,20kN pi.
M3,ser =1,1 pi:
ss,Rd,ser p,C
M3,ser
k n 1,0 2 0,2 F F 137,20 49,89kN
1,1
= = = ,
pi 2 49,89 99,78kN = 150,00k. ( ). pipi Fv,d Fv,Rd, Fv,d, Fb,Rd pipi .
III. , C. pi :
ss,Rd p,C
M3
k n F F
=
pi: ks=1,0 pi. n=2 pi . =0,5 pi A ( pi).
= p,C ub sF 0,7f A =0,72 3800 2,45 10 10 =137,20kN pi.
M3 =1,25 pi:
-63-
ss,Rd p,C
M3
k n 1,0 2 0,5 F F 137,20 109,76kN
1,25
= = = , .
pi 2 109,76 219,52kN = >210000 ( C ). pi , pipi pi pi pi pi :
3net y
pl,Rd 0
A f 1368 275 10N 376,00kN1,0
= = = >210,00kN
pipi Fv,d Fv,Rd, Fv,d, Fb,Rd pipi .
-64-
3 ( ) .
. , ( ).
. pi ,
( C).
: S275 : 16 8.8 pi 0d 18mm=
: VEd=105kN MEd=55kNm
. , . 1. pi
:
2 2280 12 400 20 250 12 143,6 10 mm + + =
pi e pi pi pi, pi :
2
20 280 12400 20 280 12 280 12 12 250 122 2 2
e 205mm143,6 10
+ + + + +
= =
pi :
-65-
2 2
2 34 4
12 20I 250 12 205 400 20 1072 2
280 280 12280 12 20 107 21968 10 mm2 12
= +
+ + + =
2. ) pi pi . ) , pi pi Md .
3.
- pi
62
455,0 10
107 26,78 /mm21968 10
= =
- pi
62
u 455,0 10
205 51,32 /mm21968 10
= =
-
( )
6w 2
455,0 10
107 20 21,78 /mm21968 10
= =
-
( )u
6w 2
455,0 10
205 12 48,32 /mm21968 10
= =
pi .
pi , pi pi .
-66-
,Ed
326,78 21,78N 400 20 10 194,2k2
+= =
+= =
u,Ed
348,32 51,32N 250 12 10 149,5k2
, pi , , pipi pi pi . +13,27N/mm2
,w EdN , pi pi :
w,Ed
3N 280 12 13,27 10 44,59k= =
pi ,w EdM pi
:
( )w,Ed
3621,78 13,27 12 280 1M 10 5,5kNm
12 280 / 2
+ = =
4. pi pi pi pi.
4.1 -
pipi NEd Nt,Rd
pi Nt,Rd Npl.Rd =y
0
Af
Nu.Rd =
net u
2
0,9A f
Npl,Rd= y 30
Af 250 10 27510 687,5kN1.0
= = >149,5kN
:
net= A-= 2 2250 10 2,18 10 21,40 10 mm =
Nu,Rd=2
3net u
2
0,9A f 0,9 21,40 10 430 10 662,5kN 149,5kN1,25
= = >
.
-
-67-
pipi NEd Npl,Rd
Npl,Rd=
= = >y 3
0
Af 400 15 27510 1650kN 194,2kN1,0
.
4.2 pi - (1993-1-8, 3.4) . 8.8, V=0.6
4
3v ubv,Rd
M2
pi 160,6 800 f A 194,24F 10 77,2kN 24,4kN
1,25 8
= = = > =
pi.
- (1993-1-8, 3.4)
1 b ub,Rd
2
k f d tF =
pi, pi
: 1d0
e
3d= =
40 0,743 18
=
: 1d0
p 1
3d 4= =
50 1 0,6763 18 4
=
pi ubb du
f min 1,0
f
=
=min = =
8000,676 1,86 1,0 0,676430
pi pi :
:
=
21
0
ek min 2,8 1,7 2,5d
=
=
50min 2,8 1,7 6,07 2,5
18=2,5
=
21
0
pk min 1,4 1,7 2,5d
=
=
150min 1,4 1,7 9,96 2,5
18=2,5
-68-
pipi pi pi :
,2 2
0 0
e p =
pi pi, pi , pi pi pi.
5. 5.1 pi : : VEd=105kN
pi: 6 3Ed55M 5,5 10 105 10 40 12,6kNm2
== + + =
pi, pi pi pi , pi :
iM,Edi Ed2
i
rF Mr
=
22 2 2i
55r 6 4 70 24137,5mm
2
= + =
Fm,Edi pi , pi pi pi , pi :
6 3H,Ed
12,587 10 44,59 10F 70 43,9kN24137,5 6
= + =
, pi :
6 3V,Ed
12,587 10 55 105 10F 32,0kN24137,5 2 6
= + =
pi :
-69-
2 2 2 2Edi H,Ed v,EdiF F F 43,9 32,0 54,4kN= + = + =
5.2. 5.2.1 pipi :
Ed
c,Rd
M 1,0M
pipi :
pl yc,Rd pl,Rd
M0
W fM M
= =
pi pi :
2 3 3pl
10W 2 220 18 10 70 216,8 10 mm4
= =
pi:
3pl y 6pl,Rd
M0
W f 216,8 10 275M 10 59,6kNm 12,6kNm 1,0
= = = >
5.2.2
v ypl,Rd
0
A fV
3= =
32 220 10 275 10 698,6kN 105kN3 1,0
=
5.2.3 pi pi- pipi :
Vd=105kN< 0,5 Vpl,Rd 0,5 698,6 349,30kN= =
pi pi pi pi-.
5.3 - 8.8, V=0,6 pi.
4
3v ubV,Rd
M2
pi 160,6 800 2 f A 4F 10 154,8kN 54,4kN
1,25
= = = >
-70-
-
1 b ub,Rd
2
k f d tF =
)
k1=2,5 , , ,2 20 0
e p40 552 22 1 5 3 05 3d 18 d 18
= = > = = >
ubb d
u
f min , 1,0
f
=
pi
: 1d0
e
3d= =
40 0,7403 18
=
: 1d0
p 1
3d 4= =
55 1 0,7683 18 4
=
pi ubb du
f min , 1,0
f
=
=min 8000,74, 1,86 1,0 0,740430
= =
pi :
1 b ub,Rd
2
k f d tF =
=32,5 0,74 430 16 10 10 101,8kN 54,4 2
1,25
= >
)
k1=2,5 ,20
p 55 3 05 3d 18
= = >
ubb d
u
f min , 1,0
f
=
: 1d0
e
3d= =
40 0,7403 18
=
: 1d0
p 1
3d 4= =
55 1 0,7683 18 4
=
pi :
1 b ub,Rd
2
k f d tF =
=32,5 0,74 430 16 12 10 122,2kN 54,4kN
1,25
= >
-71-
6. pi 6.1 EN 1993-1-8:2003 pi pi :
eff,2,Rd u nt M2 y nv M0V 0,5 f A (1 3)f A /= +
pi:
ntA pi pi
nvA pi pi
, ,2
nt 2 0A a t 1 5d t 95 12 1 5 18 12 816mm= = = ( ) , , 2nv v 1 0A L a t 2 5d t 230 12 2 5 18 12 2220mm= + = =
, ,, , ( ) / ,eff 2 RdV 0 5 430 816 1 25 1 3 275 2220 1 00= + =492,824kN>105kN
6.2 V 1993-1-1:1992
L1=min{ }1a 90mm, 5d 5 16 80mm 80mm= = = = ( ) ( )u2 2 o,1
y
f 430L a kd 95 2,5 18 78,2mmf 275
= = =
= + + = + + = + + =
= =
u3 v 1 3 v 1 3 0
y
3
fL L a a 140 90 82 312mm (L a a n d )f
430(312 4 18) 375,2mm L 312mm275
= + + = + + = < =
=
v,eff v 1 2 3
v,eff
L L L L 140 80 78,2 298mm L 312mmL 298mm
pi:
y 3eff,Rd v,eff
f 275V L t 298,2 12 10 568,15kN 105kN3 1,03
= = = >
pi pi pipi (EN 1993-1-8:2003) pi pi (V 1993-1-1:1992). H pi pi.
. , C. pi :
-72-
ss,Rd p,C
M3
k n F F
=
: ks=1,0 ( pi). n pi . =0,5 pi (pi ).
= p,C ub sF 0,7f A =0,72 3800 1,57 10 10 =87,92kN pi.
pi pi
ss,Rd p,C
M3
k n 1,0 1 0,5F F 87,92 35,17kN 1,25
= = = >194,6 24,35kN
8=
n=1 ( pi )
K pi
s,RdF =24,35>149,5 18,69kN
8=
, pi , pi , pipi pi pi pi pi :
3net y
pl,Rd 0
A f 2140 275 10N 588,50kN1,0
= = = >149,50kN
net 2250,0 10,0 2 18 10,0 2140mm= =
ss,Rd p,C
M3
k n 1,0 2 0,5F F 87,92 70,34kN 1,25
= = =
n=2 pi ( C).
pipi :
Fv,d Fv,Rd, Fv,d, Fb,Rd
pipi .
-73-
4 ( ) .
: S235 : 22 pi 8.8
VEd= 900kN
1. .
1.1 - -
pi 8.8 V=0,6
= = = > =
3v ub sV,Rd
M2
f A 0,6 800 303 900F 10 116,4kN 50kN 1,25 2 9
pi
-
1 b ub,Rd
2
k f d tF =
21
0
ek min 2,8 1,7, 2,5d
=
=
=
40min 2,8 1,7 2,96 2,5
24=2,5
O pi pi :
2
0
e 40 1,66 1,50d 24
= = > (pi k1=2,5)
-74-
ubb d
u
f min 1,0
f
=
pi:
: = 1d0
e
3d=
40 0,563 24
=
: = 1d0
p 1
3d 4=
60 1 0,583 24 4
=
pi
=
ubb d
u
f min 1,0
f=min = =
8000,56 2,22 1,0 0,56360
pi :
1 b ub,Rd
2
k f d tF =
=
= > =
32,5 0,56 360 22 9 90010 79,8kN 50kN1,25 2 9
900 pi e1 pi pi :
ubb d
u
f min 1,0
f
=
= 1
d0
p 1
3d 4=
60 0,583 24
=
b=0,58.
21
0
ek min 2,8 1,7 2,5d
=
=
40min 2,8 1,7 2,96 2,5
24
=
=2,5
O pi pi :
2
0
e 40 1,66 1,50d 24
= = > (pi k1=2,5)
pi :
1 b ub,Rd
2
k f d tF =
=
= > =
32,5 0,58 360 22 18,5 90010 169kN 50kN1,25 2 9
1.2 - -pi
-75-
pi pi , pi :
3EdM 50,0 10 900kN 45,0kNm
= =
pi, pi pi pi , pi :
i iM,Edi Ed Ed2
pi
r rF M MIr
= =
pi
( )2 2 2 2 2 2P iI r 2 60 120 180 240 216000mm= = + + + =
pi , pi pi pi 240mm, pi:
6M,Ed,zi
p
45,0 240F z 10 50,0kNI 216000
= = =
, pi :
EdV,Ed,i
VFn
= = kN1009
900=
pi :
2 2 2 2Edi M,Edi v,EdiF F F 100 50 111,8kN= + = + =
- pi 8.8 V=0,6 , pi:
3v ub sV,Rd
M2
f A 0,6 800 303F 2 10 232,7kN 111,8kN 1,25
= = = >
pi.
- H pi :
1 b ub,Rd
2
k f d tF =
-76-
21
0
ek min 2,8 1,7, 2,5d
=
=
40min 2,8 1,7 2,96 2,5
24
=
=2,5
O pi pi :
2
0
e 40 1,66 1,50d 24
= = > (pi k1=2,5)
ubb d
u
f min 1,0
f
=
pi:
: 1d0
e
3d= =
40 0,563 24
=
: 1d0
p 1
3d 4= =
60 1 0,583 24 4
=
pi ubb du
f min 1,0
f
=
=min 8000,56 2,22 1,0 0,56360
= =
pi :
1 b ub,Rd
2
k f d tF =
=32,5 0,56 360 22 9 111,810 79,83kN 55,9kN
1,25 2
= > =
(2 )
A800 b , pi b=0,56.
21
0
ek min 2,8 1,7, 2,5d
=
=
40min 2,8 1,7 2,96 2,5
24
=
=2.5
O pi pi :
2
0
e 40 1,66 1,50d 24
= = > (pi k1=2,5)
pi :
-77-
1 b ub,Rd
2
k f d tF =
=32,5 0,56 360 22 15 10 133,05kN 111,8kN
1,25
= >
3. pipi :
Ed
pl,Rd
V 1,0V
pi:
V ypl,Rd
0
A fV =
3
V=2 2560 9 50,40 10 mm =
:
2v y 3
pl,Rd0
A f 50,04 10 235 900V 10 683,81kN 450kN23 3 1,0
= = = > =
4. I-I 4.1 -I pi - pi VEd=900kN pi, pi :
3EdM 900(155 10) 10 148,5kNm= + =
4.2 -
- : 2 2
fA 300 28 (730 28) 15 189,3 10 mm= + =
-78-
- 22
v mm103.10515702A ==
-pi . pi pi pi pi:
G 2
702 282 2z 702 15 14 217,0mm
189,3 10
+= + =
-pi IyG
( )23
2yG
4 4 4 4 4
702 15 702I 300 28(217 14) 702 15 217 2812 2
43243,5 10 34615,6 10 32618 10 110476,9 10 mm
= + + =
= + + =
-E pi WyG,el 4
3 3yG,el
110476,9 10W 2153,54 10 mm730 217
= =
4.3 pipi :
Ed
c,Rd
M 1,0M
3 pi , pi:
yG,el yc,Rd el,Rd
M0
W fM M
= = =
362154 10 23510 506,07kNm 148,5kNm
1.0
= >
4.4 pipi :
Ed
pl,Rd
V 1,0V
pi:
v ypl,Rd
0
A fV
3= =
23105,3 10 235 10 1428,7kN 900kN
3 1,0
=
4.5 pi pi- pipi :
Vd=900kN> 0,5 Vpl,Rd 0,5 1428,7 714,3kN= =
-79-
pi pi pi pi-.
2Ed
pl,Rd
2V 1
V
=
=
22 900 1 0,0681428,7
=
pi :
c,Rd,V c,RdM M (1 ) 506,7 (1 0,068) 472,2kNm 148,5kNm= = = >
4.6 pi - EN 1993-1-8:2003
pi pi :
eff,2,Rd u nt M2 y nv M0V =0,5 f A +(1 3 )f A /
pi:
ntA pi pi ,
nvA pi pi
ntA =a2t-0,5d0t=40,0 15 0,5 24 15 =420mm2
nvA =( v 1L +a )t-8,5d0t=(480+40) 15 8,5 24 15 =4740mm2
eff,2,RdV 0,5 360 420 1,25 (1 3)235 4740 / 1,00= + =703,6kN
- (ENV 1993-1-1:1992) pipi pi , pi pi pipi pi.
L1=min{ }1 40mm, 5d 110mm 40mm= = = ( ) ( )u2 2 o,1
y
f 360L kd 40 0,5 24 42,9mmf 235
= = =
-80-
u3 v 1 3 v 1 3 0
y
fL L 480 40 210 730mm (L n d )f
360(730 9 24) 787,4mm235
= + + = + + = < + + =
=
v,eff 1 2 v 3L L L L 40 42,9 480 562,9mm L 730mm= + + = + + = < =
y 3eff,Rd v,eff
f 235V L t 562,9 15 10 1114,59kN 900kN3 1.03
= = = >
-81-
5 ( pi)
: S235 : 22 pi 8.8
VEd=500kN
1. pi pi: l 360mm 0.6h 0.6 500 300mm= = = pi: p8mm t 10mm 10mm = < Api : 90mm
-82-
O pi pi : 2
0
e 40 1,66 1,50d 24
= = > (pi k1=2,5)
ubb d
u
f min 1,0
f
=
pi:
: 1d0
e
3d= =
40 0,563 24
=
: 1d0
p 1
3d 4= =
70 1 0,7223 24 4
=
pi ubb du
f min 1,0
f
=
=min 8000,56 2,22 1,0 0,56360
= =
:
1 b ub,Rd
2
k f d tF =
=32,5 0,56 360 22 10 50010 88,7kN 50kN
1.25 2 5
= > =
2.3 pi pi 600 (t=21,6mm) pi pi .
2.4 pi w pi S235 0,80. pi pi pipi.
H :
3uw,Rd w w
Mw w
f 360f L 2 5 360 10 748,2kN 500kN3 3 1,25 0,8
= = = >
w,RdF :
u u
w M2 w M2
f f3 3
, =
-83-
3. pi 3.1 :
v y 3pl,Rd
0
A f 10 360 235 500V 10 488,44kN 250kN23 3 1,0
= = = > =
3.2.1 pi (EN1993-1-8:2003) pi pi pi:
ynt nveff,2,Rd u
2 0
fA AV 0,5f 3
= +
pi:
ntA pi pi ,
nvA pi pi
ntA = 22 0a t 0,5d t 40,0 10 0,5 24 10 280mm = = ( ) ( ) 2nv V 1 0A L a t 8,5d t 280 40 10 4,5 24 10 2120mm= + = + =
pi:
3eff,2,Rd
280 235 2120 500V 0,5 360 327,96 10 N 327,96kN 250kN1,25 1,0 23
= + = = > =
4. INP500 4.1 = pi - pi VEd=500kN pi, pi :
3EdM 500(120 10) 10 65kNm= + =
-84-
4.2 -
- :
2 2 2f 1/ 2NP500
1 500 1 500A 440 18 179 10 440 18 123 10 mm2 2 2 2
= + = + =
-
( ) 2 2vA 440 27 18 74,34 10 mm= =
-pi . pi pi pi pi:
( ) ( )2G 2
69,6 89,5 10 440 250 18 250 95z 146,57mm
123 10 + +
= =
-pi IyG ( ) ( )2 22 4yG3
4 4
I 146,57 69,6 89,5 10 440 95 146,57 18 190 5150 10
190 18 24947,34 10 mm12
= + + +
+ =
-E pi WyG,el ( 3): 4
3 3yG,el
24947,3 10W 850,2 10 mm440 146,57
= =
4.2
pipi :
Ed
c,Rd
M 1,0M
-85-
3el y 6
c,Rd el,RdM0
W f 850 10 235M M 10 199,75kNm 65kNm 1,0
= = = = >
4.3 . pipi :
Ed
pl,Rd
V 1,0V
pi:
V ypl,Rd
0
A fV
3= =
2374,34 10 235 10 1008,63kN 500kN
3 1,0
= >
4.4 pi pi- pipi :
Vd=500kN
-86-
6 ( -pi pi pi ) pi Vd, pi pi pi pi .
: S235 : 20 pi8.8
VEd
1. pi pi pi (40mm, 50mm) 40202d2 == pi: mm2704506.0h6.0mm280l === pi: 6mm t 12mm 0,15 e 0.15 70 10,5mm = < = =
pi pipi S235: mm122060.0d60.0t == pi pipi :
mm222dd0 =+=
pi (pi pi pi) pi pi h 610mm.
2. 2.1 .
- 8.8 V=0,6 .
3v ub sv,Rd
M2
f A 0,6 800 245F 10 94,08kN 1,25
= = =
pi.
pi pipi:
Ed v,RdF F 94,08kN = pi, pi pi pi , pi :
-87-
iM,Edi Ed2
i
rF Mr
=
pi: ( ) 2222i mm224501002352r =+=
Fm,Edi pi , pi pi pi (65+70/2)mm=100mm, pi:
M,Edi Ed Ed100F V 70 V 0,3118
22450= =
, pi :
EdV,Ed,yi
VFn
= =Ed
EdV 0,25V4
=
pi :
2 2 2 2Edi M,Edi v,Edyi Ed EdF F F V 0,3118 0,25 0,3996V= + = + =
pi pipi , pi pi pi pi :
EdV 94,08 / 0,3996 235,35kN= =
- pi
1 b ub,Rd
2
k f d tF =
21
0
ek min 2,8 1,7 2,5d
=
=
50min 2,8 1,7 14,66 2,5
22
=
= 2,5
O pi pi :
2
0
e 50 2,27 1,50d 22
= = > (pi k1=2,5)
ubb d
u
f min 1,0
f
=
-88-
pi
: 1d0
e
3d= =
40 0,6063 22
=
: 1d0
p 1
3d 4= =
65 1 0,7343 22 4
=
pi ubb du
f min 1,0
f
=
=min 8000,606 2,22 1,0 0,606360
= =
pi :
1 b ub,Rd
2
k f d tF =
=32,5 0,606 360 20 12 10 104,716kN
1,25
= >94,08kN
pi , pi ( pi) pipi pi ( ). pi , pi pipi pi ( pi) . 8.8 V=0,6 .
2 22pid pi 20A 314,16mm
4 4
= = =
3v ubv,Rd
M2
f A 0,6 800 314,16F 10 120,64kN 1,25
= = =
pi.
pi pipi:
Ed b,RdF F 104,72kN =
EdV 104,72 / 0,3996 262,06kN= =
pi pi 450 (t=14mm) pi pi .
3. 3.1 :
-89-
v ypl,Rd
0
A fV
3=
pi:
vA pi , pi pi pi :
v f w fA A 2bt (t 2r)t= + + v w wA h t
pi:
A = 218 2 210 mm ( 450) b = 300mm (pi pi) h = 450mm ( )
wh = 450 26 2 =398mm ( ) r = 27mm ( -pi)
ft = 26mm (pi pi) wt = 14mm (pi ) =1,2 ( 1993-1-5)
pi: 2
vA 218 10 2 300 26 (14 2 27)26= + + = 7968mm2 pipi pi AV 1,2 398 14 = 6686mm2 pi pipi Av=7968mm2.
:
3pl,Rd
7968 235V 10 1081kN3 1,0
= =
>262,06kN
3.2 pi (EN 1993-1-8:2003)
pi pi pi:
ynt nveff,2,Rd u
2 0
fA AV 0,5f 3
= +
pi:
-90-
ntA pi pi , nvA pi pi ,
ntA = 22 0a t 0,5d t 50,0 14 0,5 22 15 546mm = = ( ) 2nvA 100 65 70 65 14 3,5 22 14 3122mm= + + + =
pi:
3 3eff,2,Rd
546 235 3122V 0,5 360 10 10 502,21kN 262,06kN1,25 1,03
= + = >
4. pi 4.1 pi pi pi :
23 3
pl280 12W (100 35) 22 12 199,56 10 mm
4
= + =
pipi :
3 3yEd pl
03
Ed
f 199,56 10 235 46896,6 10V e W mm 1,0 1,0
46896,6 10V 669,95kN1,0 70
= =
=
4.2 pipi :
Ed
pl,Rd
V 1,0V
pi:
v y 3pl,Rd
0
A f 12 280 235V 10 455,87kN3 3 1,0
= = =
>262,06kN
pi pi ( 1993-1-1, 6.2.6).
4.3 pi - pi pi pi pi 262,06kN ( }. 262,06kN>0,5 455,87kN , pi pipi pi -.
pl,Rd46896,6M 46896,6Nmm
1,0= =
-91-
2Ed
Rd,pl
2 V 1
V
=
22 262,06 1 0,0224
455,87
= =
Rd,V pl,Rd M (1 ) 45845,45Nmm= =
Ed45845,45V 654,93kN 262,06kN
70= = >
5. -pipi
Ed Ed EdEd
w
V V V
L a 280 16 4480= = =
23 3
w,el280 16W 209,066 10 mm
6
= =
Ed Ed EdEd 3
w,el
V e V 70 V
W 2986,66209,066 10
= = =
0,5222 2 3
w,Ed Ed Ed Ed Ed1 1
V V 0,40246 104480 2986,66
= + = + =
w S235 0,80. pi :
2uw,Rd
w w
f / 3 360 / 3f 207,85N / mm 0,80 1,25=
= =
pipi:
3 3w,Rd w,Ed Ed Edf 207,85 V 0,40246 10 V 516,439 10 N 516,439kN= =
- :
Ed Ed1
V ( ) / 2 V 0,00023682986,66
= =
:
-92-
Ed Ed1
V ( ) / 2 V 0,00023682986,66
= =
pi :
EdEd
V 0,000223214V
4480= =
pipi :
2 2 2 u
w 2
f 3( )
+ +
pi:
( ) ( ) ( )2 2 2 ud d dw
Ed
f 3600,00024368V 3 0,0002368V 0,000223214V 1,25 0,8 1,25
V 588858,40N
+ + =
=
u
2
f 0,9
pi:
d Ed3600,0002368V 0,9 V 1094594N1,25
=
, pi pi pi
EdV 588858,40N= =589kN
pi, pi pi pi :
EdV 262,06kN= pi .
-93-
7 ( ) pi PEd pi pi (Gerber) .
: S275 : 27 pi 8.8
1. - h=450mm tw=16,2mm tf=24,3 mm b=170mm Wpl,y=2400mm3
- pi pi fy fu pi t 40 mm, pipi : fy=275N/mm2 fu=430N/mm2.
pi: 92.0275235
f235
y
===
.
( ) 363 22,41 72 72 0,92 66,2416,2
= < = = , pi
pipi 1.
(pi ) 170 / 2 16,2 / 2 16,2 2,50 9 9 0,92 8,28
24,3
= < = = pi pi
pipi 1.
1.
-94-
2. pi
a EdEd Ed
P 3.0M 0,75P4
=
pi
b EdEd Ed
P 1.5M 0,75P2
=
3. 3.1 pi INP450: 3pl,yW 2400,0cm= pipi:
Ed
c,Rd
M 1,0M
INP450, pi 1 :
pl yc,Rd pl,Rd
M0
W fM M
= =
pi:
33
Ed Ed2400 10 2750,75P 660 10 kNmm P 880kN
1,0 =
3.2 0,5PEd. pipi :
-95-
Ed
c,Rd
V 1,0V
, pi VC,Rd pi Vpl,Rd, pi pi :
v ypl,Rd
0
A fV
3=
pi pi pipi , pi pi pi 880k. :
v f w fA A 2bt (t 2r)t= + + pipi v w wA h t
pi:
A = 147 2 210 mm ( INP450) b = 170mm (pi pi) h = 450mm ( )
wh = 450 24,3 2 =401,4mm ( ) r = 16,2mm ( -pi)
ft = 24,3mm (pi pi) wt = 16,2mm (pi )
=1,2 ( 1993-1-5) 2
vA 147 10 2 179 24,3 (16,2 2 16,2)24,3= + + = 4819mm2 pipi vA = 1,2 401,4 16,2 = 7803mm
2>4819mm2
V=7803mm2
pi :
= =3
pl,Rd275 / 3V 7803 10 1238,9kN
1,0
pi :
Ed ED0,5P 1238,9 P 2447,8kN
3.3 pi pi-
= = =Ed EdV 0,5 P 0,5 880 440kN 0,5 1238,9 619,4kN pi pi pi-.
4.
4.1 .
-96-
.
8.8 v=0,6 :
= = =3v ub s
v,RdM2
f A 0,6 800 459F 10 176,2kN 1,25
pi.
pipi:
Edv,Ed v,Rd Ed
0,5PF F 176,25 P 705kN2
4.2
pi :
1 b ub,Rd
2
k f d tF =
21
0
ek min 2,8 1,7 2,5d
=
=
100min 2,8 1,7 7,6 2,5
30
=
=2,5
O pi pi :
2
0
e 100 3,33 1,50d 30
= = > (pi k1=2,5)
ubb d
u
f min 1,0
f
=
pi:
1d
0
e
3d= =
225 2,503 30
=
pi ubb du
f min 1,0
f
=
=min 8002,5 1,86 1,0 1,0430
= =
pi :
1 b ub,Rd
2
k f d tF =
=
=32,5 1 430 27 16,2 10 376,2kN
1,25
-97-
pipi:
b,Ed b,Rd Ed Ed F F 0,5P 376,2 P 752,4kN
4.3 pipi :
1d
0
e
3d= =
130 1,673 30
=
pi ubb du
f min 1,0
f
=
=min 8001,67 1,86 1,0 1,0430
= =
pi 20mm>16,2mm (pi ).
4.4. 4.4.1 :
2wA 2 200 7 2800mm= =
pi pi :
( )
2 3w w w 4p y z
4 4 4
30,0 20,0 0,7I I I 2 20,0 0,7 2 102 12
6300 933 10 7233 10 mm
= + = + =
= + =
4.4.2 pi :
wEd EdV 0,5P= ,
pi, pi :
wEd Ed EDM 0,5P (10,0 10,0) 10,0 100P= + =
4 2y 2Ed EdEd w
p
0,5P 20,0 15,0 P 0,5 300 7233 10 10 10
2I 2
= =
-98-
4 2z 2 1Ed EdEd Edw
p w
0,5P 20,0 10,0 0,5P 0,5 200 7233 10 10 0,5 10 P 2800 10
2I 2A 2 2
= + = +
pi:
y 2 z 2 2 2w,Ed Ed Ed Ed Ed Ed P P 0,00010369 0,000158413 0,000189332P= + = + =
4.4.3 -Apipi w S275 0,85. H pi :
2uw,Rd
Mw w
f 430f 233,7N/mm3 3 1,25 0,85
= = =
pi pipi :
w,Ed w,Rd Ed Ed f 0,000189332P 233,7 P 1234kN
- .
pipi :
Ed Ed1
P 0,000158413 P 0,0001120152
= =
pipi :
Ed Ed1
P 0,000158413 P 0,0001121152
= =
pipi pi :
Ed P 0,00010369=
pipi :
( )2 2 2 uw 2
f 3
+ +
pi:
-99-
( ) ( ) ( )2 2 2Ed Ed EdEd
430P 0,000112115 3 P 0,000112115 P 0,000103690,85 1,25
P 2761,5kN
+ +
= = pi tg=50mm 0,2 500 100 = , pi 500 pi .
kj 0,5
1 1j
a bka b
=
,
pi 1.
a1 pi :
{ }{ }
1 ra min a 2a , 5 a, a+hmin 500 2 750 2000, 5 500 2500, 500+700=1200 1200mm
= + =
+ = = =
pi a1=b1=1200mm a=b=500mm.
pi kj 0,5
j1200 1200k 2,40
500 500
= =
.
pi :
2j j j cdf k f 0,67 2,40 23 37N/mm= = =
pi c :
0,5 0,5y
j 0
f 275c t 20 31,5mm 31mm
3f 3 37 1,0
= = =
pi pi :
( ) ( ) 3 2eff 300 11A 300 2 31 300 2 31 2 202 72,66 10 mm2 2
= + + =
pi Ed :
32 2Ed
3eff
N 1450 10 19,96N/ mm 37N/mmA 72,66 10
= = 1400.
pi 80kN, pi :
32
d1450 10
207,14N/mm7000
= =
32
d80 10
11,43N/mm7000
= =
pi:
2 2 2w,Ed 207,14 11,43 207,46 233,66N/mm= + = <
- pipi :
:
2 2 =207,14 2 146,47N mm = =
pipi :
2 2 207,14 2 146,47N mm = = =
pipi :
2 11,43N / mm=
pipi :
2 2 2 u
w 2
f 3( )
+ +
pi:
-105-
2 2 2 2430146,47 3(146,47 11,13 ) 293,15 404,7N / mm0,85 1,25
+ + = = . pi pi tg=50mm 0,2 450 90 = mm, pi 450mm pi .
kj 0,5
1 1j
a bka b
=
, pi
1, .
pi pi :
2j j j cdf k f 0,67 1,0 13,3 8,9N/mm= = =
pi c : 0,5 0,5
y
j 0
f 275c t t 3,21t
3f 3 8,9 1.0
= = =
pi pi pi t=30mm>tf=27mm (pi pi pi). pi c :
c 3,21 30 96,3mm= = . 1 pi pi pi . 2 pi pi pi pi. pi :
effb 2(96,3 15 0,5 185) 407,60mm= + + = . pi 185mm pi pi INP 500.
1.2 pi H pi x pi pi pi :
0,5Ed Ed
2eff j
2M N (2d )x 1,25 d 1 1
b d f
+ =
1 pi pi
2 pi pi pi
-108-
0,56 3
22 250 10 350 10 (2 830 900)
x 1,25 830 1 1 171,25mm415,2 830 8,9
+ = =
pi pi :
3c eff jF 0,8 x b f 0,8 171,25 415,2 8,9 10 506,25kN= = = .
:
t c EdF F N 506,25 350 156,25kN= = =
1.3 pi 156,25/3=52,08kN: :
pi pi
33t
EdF 67,5 52,08 67,5 10M 3515,4 10 kNm 3,54kNm
3 3
= = = =
pi pi :
2 2eff y
pl,Rd 6 6l t f 150,5 30 275M 9,31kNm4 1,0 10 4 1,0 10
= = =
>3,54kNm
2. 2.1 156,25/3=52,08kN:
pipi :
0,85Ft,d Ft,Rd
pi:
3
eff26l 67,5 26 70 150,5mm2
= + + =
3
-109-
0,85 , pi pi pi pi pi , pi . Ft,Rd pi, pi
:
pi k2=0,90.
pi:
t,Rd0,9 400 3530,85F 0,85 0,85 101,66kN 86,41kN 52,08kN
1,25
= = = >
2.2 . 20% pi .
35kN 0,2 350 70kN< = , pi pi pipi pi.
3. pi 3.1 pi pi pi pipi pi 4Error! Reference source not found., pi :
Ed 3506,25 131,50M 33,29kNm 33,29Nmm
2 10
= = =
( pi )
:
Ed506,25V 253,12kN
2= =
3.2 pi . pi pi e pi pi :
( ) ( )250 15 250 0,5 225 30 30 0,5 250e 215mm
250 15 225 30 + +
= =
+
pi pi :
4
2 ub st,Rd
2
k f AF
=
-110-
( )3 2 6 4s 250 15I 250 15 215 250 0,5 66,78 10 mm12
= + =
3.3
yRd el
0
f 66,78 275M W 85,42mm 33,29Nmm 215 1.0
= = = >
3.4 pi :
Veff y 3pl,Rd
0
A f 250 15 275V 10 595,39kN3 3 1.0
= = =
3.5 pi pi-
Ed pl,RdV 0.5 V 253,12kN 0,5 595,39 297,70kN =
pi pi pi-.
4. 4.1 pi pi pi pi , pi :
3Ed Ed
EdN M 350 250 10V 675kN
2 h 2 500
= + = + =
pi 0,5 675 337,5kN = . H pi : w S275 0,85.
2uw,Rd
Mw w
f 430F 233,7N / mm3 3 1,25 0,85
= = =
w=6mm, pi pi :
w337,5 103L 240,8mm 250mm6 233,6
= = 1639,78 vbA = 1912,76mm
2
1.6.3 pi pi- :
Ed pl,RdV 0,5 V 40kN 0,5 209,96 104,98kN =
pi pi pi-.
1.7 pi H :
2uw,Rd
Mw w
f 360f 207,85N/mm3 3 1,25 0,8
= = =
-118-
pi , pi :
3w,Rd w w w,RdF L f 3 190 10 2 207,85 236,95kN 40kN= = = >
pi 190mm h-2c pi .
1.8 pi pi :
1. , pi , pi pi pi 311,26k 2. , pi , pi pi pi 600,87kN
H pi :
Mj,Rd=Fmin(hb-tfb)
Fmin=311,26kN, pi:
( ) 3j,RdM 311,26 240 9,8 10 71,65kNm 35,0kNm= = >
2. pi pi pi , pi pipi .
b 9 t
<
y
235 235 1
f 235= = =
b 100 4 9,6 9 1t 10
= = > , 9,6 10 1< 2
2.1 - pi pi pi :
wcl 0,75 h=
wch 350 2 17,5 315mm= =
pi .
wc15t 15 1 10 150mm= = .
pi: twc pi pi
-119-
wch pi.
:
( ) ( ) 2A 150 150 10 10 100 100 10 5000mm= + + + + =
pi :
( )3 4 410I 100 100 10,0 771,75 10 mm12= + + =
:
4I 771,75 10i 39,44mmA 5000
= = =
-pi :
315 7,98
i 39,44= = =
:
1
7,98 0,084 0,2
93,9= = = < , pi pi .
-120-
11 ( -pi pi ) .
: S235
1 1.1 pi pi - pi pi pi pi, pi pi :
( )eff,b,fc wc fcb t 2 s 7 k t= + +
pi:
y,fcfc
fb y,fb
ftk k 1t f
=
pipi, pi, pi pi pi :
y,fbeff,b,fc fb
u,fb
fb ( )bf
pi: twc: pi pi, 10mm s cr= : pi pi,
27mm c: pi
tfc: pi pi pi, 17,5mm
-121-
tfb: pi pi , 9,8mm bfb: pi pi , 120mm fy,fc: pi pi fy,fb: pi
u,fbf : pi
pi, fy,fc = fy,fb pipi :
17,5k 1 1 k 19,8
= =
:
eff,b,fc wc fc fbb t 2 s 7 k t 10,0 2 27 7 1 17,5 186,5mm b 120mm= + + = + + = > =
pi pi pipi eff,b,fcb pi , eff,b,fcb 120mm= .
pi pi :
y,fbeff,b,fc fb
u,fb
f 235b ( )b ( )120 78,33f 360 = =
pi pi pi pi pi pi , :
eff,b,fc fb y,fbt,fc,Rd
M0
b t fF
= , pi:
3fb fb y,fbt,fc,Rd
M0
b t f 120 9,8 235 10F 276,36kN 1,0
= = =
pi pipi pi pi pi , pi:
3fb fb y,fb
M0
b t f 120 9,8 235 10276,36 276,36kN 1,0
= = .
, pi t,fc,RdF 276,36kN= .
- :
w fb fb wbL b b t 2r 120 120 6,2 2 15 203,8mm= + = + =
-122-
y,fb 3pl,fb,Rd fb fb
f 235N b t 120 9,8 10 276,36kN1,0 1,0
= = =
w S235 0,80. H pipi :
3uw,Rd w w
Mw w
f 360F L 6 203,8 10 254,15kN3 3 1,25 0,80
= = =
pi.
w,Rd w,Rdw,Rd
w w
F F 0,0008178 F
L 6 203,8= = =
w,Rd w,Rdw,Rd
w w
F F 0,0008178 F
L 6 203,8= = =
w,Rdw,Rd
0,0008178 F 0,0005783 F
2
= = =
2 2 uw,Rd
w 2
f 360 3 F 311,26kN
0,8 1,25 + = =
>276,36
uw,Rd w,Rd
f 0,0005783 F 0,9 F
1,25= = 448,21kN
1.2 pi . pi pi , pi :
( ) ( )eff,t,wc fb b fcb t 2 2a 5 t s 9,8 2 2 6,0 5 17,5 27 249mm= + + + = + + + =
pi:
ba : pi pi pi pi
pi
H pi :
3eff,t,wc wc y,wc
t,wc,RdM0
b t f 0,750 249 10 235 10F 439,03kN 1,0
= = =
pi: : , pi pi pi
pi (pi.6.3, 1993-1-8:2003). pi pi pi .
pi 5.3(7).
-123-
=1 (. 5.4 1993-1-8:2005)
pi:
1 2 2eff,c,wc wc vc
1 1 0,750
1 1,3(b t A ) 1 1,3(249 10 4920)= = = =+ +
pi pi vcA pi :
vc c c fc wc fc wc wcA A b t (t 2s)t h t= + +
pi :
2vcA 143 10 2 300 17,5 (10 2 27)17,5 1,20 (350 2 17,5) 10,0= + +
2 2 2vc vcA 4920mm 3780mm A 4920mm= =
pi, Ft,Rd=311,26kN
2 2.1 pi . pi , , pi :
wc y,wc wc eff,c,wc wc y,wc wc eff,c,wcc,wc,Rd c,wc,Rd
M0 M1
k f t b k f t bF F
=
pipi pi, M0 M1 = 1
-124-
3: pi
pi, pi pi, pi :
( ) ( )eff,c,wc fb b fcb t 2 2a 5 t s 9,8 2 2 6,0 5 17,5 27 249mm= + + + = + + + =
pi: kwc: , pi pi pi
pi pi pi pi pi pi -pi. pi :
kwc=1, com,Ed y,wc 0,7 f
kwc= com,Edy,wc
1,7
f , com,Ed y,wc 0,7 f>
pi:
c,Ed c,Edcom,Ed
c c
N M z
A I= +
: , pi pi pi pi (. 6.3 , 1993-1-8:2005). pi pi pi . pi 5.3(7).
-125-
: , pi pi pi () pi. pi :
=1,0 p 0,72
2p p ( 0,2)= p 0,72>
pi:
p pi pi, pi pi :
eff,c,wc wc y,wcp 2
wc
b d f 0,932
Et= wc c fcd h 2(t s)= +
pipi :
( ){ } ( ){ }c fc1 1 1z h 2 t s 350 2 17,5 27 261 130,5mm2 2 2= + = + = =
pi:
3 62 2
com,Ed 2 4140 10 55 10
130,5 31,48N / mm 0,7 235 164,5N / mm143 10 33090 10
= + = < =
kwc=1.
=1 (. 5.4 1993-1-8) 1 2 2
eff,c,wc wc vc
1 1 0,750
1 1,3(b t A ) 1 1,3(249 10 4920)= = = =+ +
pi :
vc c c fc wc c fc wc wc2
2 2 2vc
A A 2 b t (t 2r )t h t143 10 2 300 17,5 (10 2 27)17,5 1,20 (350 2 17,5) 10,0
4920mm 3780mm A 4920mm
= + +
+ +
=
pi pi :
p 2249 261 235
0,932210000 10
=
=0,932 0.832 0,794 = >0,72
:
2 (0,794 0,2) 0,794 0,942= =
-126-
pi pi, , :
3c,wc,Rd
0,750 1 249 10,0 235F 10 439,03kN1,0
= = .
3.
y
235 235 1
f 235= = = .
pi wc
wc
d 261 26,1 69 69t 10
= = < = .
pi pi .
pi :
3y,wc vc
wp,Rd0
0,9 f A 0,9 235 4920 10V 600,78kN3 3 1,0
= = =
.
4. 4.1 - =1 (120-6,2-2 15,0)/9,8=8,55
pi:
vb b b fb wb b fb wb wbA A 2 b t (t 2r )t h t= + + 2
vbA 39,1 10 2 120 9,8 (6,2 2 15)9,8 1,20 220,4 6,2= + + vbA = 1912,76>1639,78 vbA = 1912,76mm
2
-127-
4.3 pi pi- :
Ed pl,RdV 0.5 V 40kN 0,5 209,96 104,98kN =
pi pi pi-.
5. pi w S235 0,80. H pi :
2uw,Rd
Mw w
f 360f 207,85N/mm3 3 1,25 0,80
= = =
pi , pi :
3w,Rd w w w,RdF L f 3 190 10 2 207,85 236,95kN= = = >40k
pi 190mm h-2c pi .
6. pi pi :
1. , pi , pi pi pi 311,26k. 2. , pi , pi pi pi 439,03k. 3. , pi , pi pi pi 600,78kN. pi , pi pi pi :
Fmin=311,26kN
H pi pi :
Mj,Rd=Fmin(hb-tfb)
pi :
( ) 3j,RdM 311,26 240 9,8 10 71,65kNm 35,0kNm= = >
-128-
12 ( pi pi pi) .
: S275
1. pi pi :
EdM 0,35 20 70kNm= =
2. pi pi beff pi :
effb = wc fc t 2r 7kt+ +
pi:
t fc t fb pi pi pi pi , .
ycf ybf pi pi , . ( ).
pi:
ycfc
fb yb
ftk k 1t f
=
:
yc ybf f=
pipi :
k= 11,5 1 0,958 112,0
= , t fc =11,5mm t fb =12,0mm
-129-
pipi:
effb 7,5 2 18 7 k 11,5 120,6mm= + + =
pipi:
( / )eff yb ub bb f f b =275 140 89,53430 = mm. .
pipi pipi pi pi pi .
3. 3.1 pi pi:
w120,6 12 136,0 130 10 65
e 102,4mm120,6 12 130 10 +
= =
+
pi :
2 2 4 4130,03 10,0I 120,6 12 33,6 130 10 37,4 528,30 10 mm12
= + =
3.2 pi :
43 3
u528,3 10W 51,6 10 mm
102,4
= =
pipi:
Ed
c,Rd
M 1,0M
el yc,Rd
M0
W fM
=
pi:
36
El,Rd51,6 10 275M 10 14,19kNm 7,0kNm
1,0
= = >
3.3 pi :
-130-
Ed
c,Rd
V 1,0V
, pi Vc,Rd pi Vpl,Rd, pi pi :
v y 3pl,Rd
1
A f / 3 130 10 275 / 3V 10 206,40kN 20kN 1,0
= = = >
3.4 pi pi-
Ed pl,RdV 0,5 V 20,0kN 0,5 206,4 103,2kN =
pi pi pi-.
4. 4.1 pi pi -pi
pi :
( ) 2 2wfA 120,6 5 1 20,6 10 5 11,56 10 mm= + =
:
2 2wwA 2 110 5 13,0 10 mm= =
pi pi :
( )w 2 2
120,6 12 142,0 120,6 10 5 130 2 5 65e 98,54mm
13,0 10 11,56 10 + +
= =
+
pi :
( ) ( ) ( )( )
2 2w
32 4 4
I 120,6 5 1 42 98,54 120,6 10,0 5 130 98,54
130,0 598,54 65 2 130 5 2 498,0 10 mm12
= + +
+ =
pi :
43
w,el498,0 10W 50,5 10
98,54
= =
- pipi
-131-
:
32
Ed20 10
15,4N/mm130 5 2
= =
:
62
Ed 37,0 10
138,5N/mm50,5 10
= =
pi :
2 2 2w,Ed 15,4 138,5 139,35N/mm= + =
w S275 0,85. H :
2 2uw,Rd
Mw w
f 430f 233,7N/mm 139,35N/mm3 3 1,25 0,85
= = = >
- pipi :
2 138,5 2 97,93N mm = =
pipi
2 97,93N mm = =
pipi pi pi :
2 15,4N mm=
pipi :
2 2 2 u
w 2
f 3( )
+ +
pi:
2 2 2 243097,93 3(97,93 15,40 ) 197,69 404,7N / mm0,85 1,25
+ + 270157
- pipi :
2 = 2 =399,65 2 =282,59N mm
pipi :
2 282,59N mm = =
pipi pi :
0=
pipi :
2 2 2 u
w 2
f 3( )
+ +
pi:
2 2 2 2430282,59 3(282,59 0 ) 565,18 404,7N / mm0,85 1,25
+ + >
pi pi.
pi pi pi , pi pi pi . pi pi .
-134-
pi pipi pi pi 5mm 6mm. pi:
( ) 2 2wfA 140,0 6 140,0 10 6 16,20 10 mm= + =
pi pipi , 1 :
565,18 211,56 403,30 404,70N mm16,20
= <
pi. pi pi:
u
2
f 0,9
pi:
211,56 430282,59 201,65 0,9 309,6N / mm16,20 1,25
= < =
pi.
exofyllo.pdfintroduction_1.pdfSyndeseisw_Theory_1_17_Gen.pdfSyndeseisw_Theory_2_7_Eidi.pdfAskiseisw_1_TO_6_7.pdfAskiseisw_7_TO_12_8.pdf
