Ali
of 145
description
تأثير الفتحات على الجوائز الفولاذية
Transcript of Ali
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(T) ...................................................
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(T) ................................................................
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. . .
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. . .
))((
.
:
) ( "
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) (......
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) . (
.
.
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. . .
:
:
.
.
" .
"
:
.
.
.
:
)ho/D(
)ho/D(.
)
(20% .
,
%. %
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. . .
* *
:
:
][ .
. : Ferrous)
Fe( )( .
)(
:
][][
:
: :
- : ). (
)Fe(Iron
Steel
Wrought
Cast Iron
MILD
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. . .
- :
.
: .
. : ...
:
.
: .
:
.
: .
: .
:
][][ %
. ][
.
][ .
:
Low Carbon Steel:
),(% .
Mild Steel:
),,%( .
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. . .
Medium Carbon Steel:
),,%( .
High Carbon Steel:
),,%( . :
: :
][][ :
.
" .
.
.
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:
.
.
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. . .
:
" .
]
[]
[
. .
.
:
][][][
. ][.
F L .
][][)( .
(A) (B).
(D)
(C).
)(
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. . .
:
][][][:
).(
. )( .
:
:
][][." :
s = 3mm mmsmm 5.43
s > 4.5mm .
:
][][][ :
(I)
.
I-BeamUniversal Beam )I( IPN IPE.
(H) Universal Column
(HEB-HEA-HEM)
). ((T) I H .
.
(u) (Channel) .(L) .
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. . .
(z) .
:
.
. )( )(
][][.
)(
)(
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. . .
:
][][
.
. :Allowable Stress State
][][
Fy.
:Limit State
][][
:
:ultimate Limit state
:
.
) . (
.
). (
.
.
" :
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. . .
"": .
":
.
"": . ) . (
. "
:Service ability Limit state
:
:.
.
.
.
.
. "
.
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. . .
:
]
[]
[
.
. )(I
][][
][.
)(
:
][
[
][][.
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. . .
) . (
:
][][][:
)(: )
( .
: ) (
.
: ) (
.
.
) : (
][][][
:
:
][][
( )
(F) Fy
a )( :
) (Mn = My= Sx Fy
:
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. . .
Sx: MnMy:
:
][][ y (y max)
(Fy)
)(b
.
:
][][
)((e) )(
e)( ). (
(b)
)(a.
b.
)(
) (Mp= Fy. Z
:: Mp:
y
y
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. . .
.
. ][
.
:Assumption of plastic analysis
][][
:
.
.
.
.
.
""
.
.
.
][][
.
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. . .
:Plastic Behavior of simple Beams
AB )( L
0
p
. ]
[]
[]
[]
[]
[
.
"
.
][][
.
)(.
)(
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. . .
)(
)(
.
][][.
)(
:
][][:
.
)) ((
.
"
. .
. )( )(
][][][.
Fy
x
L
(L/2)-X
xFy
Pu/2
Pu
(L/2)-X
Fy
Fy
Fy
Fy
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. . .
)(
)(
:" )( I
)( ][][][.
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. . .
:
][ :
) (EI
Lwe
3
1max
.=
:w: ) (..... ) (.E: 200000 Mpa.I: .
1: ) (. ][ :
) (EIPL
e48
3
=
)( ][ :
) (E
FyY =
][:
) (2/dEIMyY
Y ==
:
Y: .My: .
d: .: .Fy: .
:
Mp
][.
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. . .
) (pyu +=
:
: y: p:
)(
+= 2.
. 3
1
p
Pp
L
LLEI
Lwu
:
) (yy
pd
152/
15==
) (LZx
xLp )
51( =
p: .Lp: I 8/LLp =). (L: .
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. . .
)(
.
) (128
1515
2Lyp =
][:
) (23
.128
225
48Ly
EI
PLu +=
y][ )(
) (EI
LM
EI
PLu
y
128
.225
48
23
+=
][
) ().128
225
48(
1 23
LMPL
EIu y+=
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. . .
) :(
][
)(
). (
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. . .
:
:
.
:
. . .
. ....
(
)( .
)(
:
.
.
.
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. . .
.
.
.
.
:
opening shape
opening size
Number and location of openings
Loading condition
The amount and detail of shear
Horizontal Reinforcement around Opening
Eccentry city of opening
:
][][.
:
% Dho 3.0)a: (
) (Dho 3.0
:D: oh:
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. . .
:
][][ "" )b(
(a)
(b)
)( a.
b.
:
(shear Zone) (web)
) ( .
" .
D
D
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. . .
:
)( .
)(
:
.Rigid Frame
. Simplified Analyze Method
.Vierendeel Truss Method
. Finite Element Analyses
:
][][
.
)(
:
:
.
)(.
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. . .
:
. )(
). (
)(
)( ) (
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. . .
)( ) ( :
][][][ (T)
.
(T)
]
[]
[
)( (T) .
)(
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. . .
:
][][ "
]
[
. ][][ . )(
) .(
)( ) (
][][
)9. (
)9( ) (
D
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. . .
:
][][
.
)( :
. :
:
]
[]
[
. (T) . ) (
.
) (
). (
)(
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. . .
:
.
.
e = 0
75.0/0 Dh
.
][:
) (vvHv FDh
Ff .10
=
:Fv: ). (FvH: .
vf: .h0: .D: .
][ )(:
)(v
w
F
w
F
vHv F
D
h
A
A
h
A
D
h
D
h
A
A
D
h
Ff .4
1.4
611
0
0
0
0
2
0
+
+
=
:
AF: .Aw: .A: .
][ :
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. . .
) (b
w
FvH
vbH F
A
A
D
h
F
FF .
61
11
3
0
+
=
Fb: .FbH: .
][ .
(R.GReDwood)][][ "
MV ). (
)( MV
)( )(][:
) (AFAw
D
h
A
A
M
M F
w
p 4/1
14
1
2
0
1
+
+
=
) (Fw
F
w
p AA
D
h
A
A
M
M
4/1
1
21
41
2
0
2
+
+
=
) (
+
=
11 02
D
h
V
V
p
) (2
0
2
116
3
=
D
h
A
D
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. . .
:Mp: .Vp: .M1: ) (.M2: ) . (
V2: ) (.
V/Vp .
). (
(AHMED AFIFI + Q AQISH)][ (T) )
( )
( . ). (
)( (T) :
N.
Q V/2.
Mp (T).
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. . .
)( T
(T) (Von misses)
][:
) (222
2
4
3
w
yts
V=
:: .
y: .tw: .V: .S: T.
T )()(
). (
)(
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. . .
)T( ][ :
) (21
12
2
2
1
1
10
..
2.
2.
.2
.1
)( AtwAb
AA
AtA
b
C
Va
tsb
Cy
y
wy
y
+
++
++
=
) (( ) 1
11
2.1Cva
tsbCtAy
F +
=
) (( ) 1
12
2
.1
C
Va
tst
CsA
w
+
=
) (( )
wy
yFw
tb
tsbtC
+
+=
2
1
:b: .tF: .a: .
" ). (
][ :
)(M = N(d-y0)
)(1
12
.12....
C
VaCtstbN wyF +=
)(
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. . .
)(
][ :
)(M = N(d-2C2)
)(1.2.... BbtstbN ywyF +=
)(421 CCB =
)(y
wyF
b
tstbC
.2
....2
+=
)(y
b
VaC
CCC
.4
.
23
224
+=
)(( )
..
2.)(.5.0
2
22
2
3
wyF
FwyF
tsCtb
CsttsCtb
C+
++
=
)(
"" .
)( .
.
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. . .
)(
(E.H.Fahmy)][ """
M/V)( :
M/V (T) T
. .(A,B) ). ( M/V T ) (
T. T
. T
Ntop Vtop MT ). (
)(
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. . .
)( (T)
)(BC
( .
)a) (b()( )a(
)b(
T T
. T
.
T .
)( )( C D )(
T D E
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. . .
). (
:
(K.F.chung + C.H.liu)(A.C.H.ko)][][
) (" .
T .
:
.
.
.
][][ )(
T
.
. (
)(
T :
sdN Msd.
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. . .
sdV Vsd.
sdM ) ()(
T LMS)low moment side( HMS)high moment side(.
)( T LMS HMS
T poNpoVpoM
)( T.
T M
T .
. Q0= 0 ][
:
) (MxhcI
IIN
o
Topo
2=
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. . .
) (vv po2
1=
) (MI
IM
o
Tpo =
:Io: .IT: T .hc: T .V: .M: .
(T) . : )()()(
(T) ][:
) (2
sin.2
cos.
popo VNN +=
) (2
cos.
2
sin.
popo VNV +=
) (popopo MyNuVM = ..
:
: .u , v: (T) .
][:
) (2
sin.2
cos.
popo VNN =
) (2
cos.2
sin..
popo VNV +=
) (popopo MVNuVM ++= ..
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. . .
0.50D )
(
. LMS
Qp
=2 ): (
)(
LMS
HM .
LMS T
HMS.
0.5D )( )2A3A(
( .
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. . .
2A .
T
3A 2A
.
)(
)( )( :
) (15.25.2
+
popo M
M
V
V
:
)(1..
33
=
+
popo V
V
M
M
V , M: .Vpo, Mp: ..: =0.9) . (
-
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. . .
)(
) (MWFM poypo = .
) (4
.2
WoPLpo
tdWW =
) (VAFV Voypo = .
) (woVVo tdAA .=:
Mpo: .Vpo: .WPL: .WPo: .Apo: .
do: .tw: .Fy: 0.577Fy.
M: .V: .
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. . .
.
T
. ): (
)(
(T)
.
. v
][:
) (po
iVpo
V
Vv .=
Vpo: .vpo: .
v: ). (
)( ][:
3
2v
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. . .
) (12
2
=+
m
v
v
3
2v
) (13/23/2( 2
2
=+
mvv
:
) (pov
vv =
) (poivpo
M
MM=
m: )()(.Mpo: .
Mpo: .V: .Vpo: .
: .
)( ). (
) ( v
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. . .
)( )(
][
:
) T ( :
)( T). ( " a
b .
)(
a: ][ Fte
) (wF
FFwFF
tred
NtbtthredZ
.2
.)(0
+=
) (( ) ( )[ ]
+++=
2..
2.222 0
2
0
22 FFF
w
FFF
tetb
teZthZthredM
b: ][) (te
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. . .
) (( )
b
NtbtthredZ
F
FFwFF
.2
..0
+=
) (( ) ( )[ ] ( ) ( )2
2222
.2 02
0
222 beZtZtt
eththredM FFFw
FFF
+=
:
.
.
) ( ][
:
) (AVF= (h-tF) . tw+ tF. tw
h: T.tF: .tw: .
)( T .
)( T
:
)a( T][Fte
) (wF
FFwF
tred
NtbthredZ
.2
...0
=
) (( ) ( )[ ]
+=
2..
2.22 0
2
0
2 FFF
w
F
tetb
teZhZhredM
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. . .
)b( T][Fte
) (( )btredNtbthred
ZFwF
FFwF
..2
....0
+
+=
) (( ) ( )[ ] ( ) ( )[ ]2.222.2.22 02
0
2
0
2
0
2 b
eZtZt
t
eZhZhredM Fw
F +=
:
) (22 3 = FFved
) (( ) wF tth
Q
.=
) (wth
Q.
=
)(wtbb =
) (( ) wFPL ttphQ =3
) (wFPL thQ .3
=
) (( )eD
M
e
MN
21 ==
red: .
F: .h: T.tw: T.tF: T.b: T.M: .N: .Q: .QPL: .e: T .
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. . .
M / MpLQ / QpLN / NpL
). (
)( M / MpLQ / QpLN / NpL
:
(R.GREDWOOD)][][
). (
.
). (
)(
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. . .
][ :
cBA +
) (A
AcBB
A
A
F
r
2
42 ++=
cBA +
) (A
cB
A
A
F
r +=
) (D
hA o=
)(
+
+
+
+
=
D
h
D
h
A
A
D
a
Vp
V
A
A
D
h
A
A
Mp
M
B
oo
F
w
F
wo
F
w
1/13
1
4411
2
) (
+
=
D
h
D
a
Vp
V
A
AC o
F
w 134
12
) (
D
aAA wr
3min
:V,M: .VpL, Mp: ) (.a: .ho: .AF:.
D: .Ar: .
AW: . )( ). (
-
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. . .
)(
(0) ][ :
)(Fr AA
=
w
roo
A
A
a
D
D
h
Vp
V13
)(Fr AA Fw
F
ro
o
AA
A
A
D
h
Mp
M
4/1
1
+
=
) (Fw
o
F
ro
F
w
AA
D
h
A
A
D
h
A
A
Mp
M
4/1
14
1
2
1
+
+
+
=
][ ). (
)(
-
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. . .
a: T][:
) (( )
wF
uuFFwFo
tred
NtbtbthredZ
.2
....
+=
)(
( ) ( )[ ]
( ) ( )
++
+=
etbtbtbtbhtb
teZhZhredM
uuFuuFuuF
wooF
.....2
1..
2.222
22
22
b: T][:
)(( )
( )btredNtbtbthred
ZFwF
uuFFwFo
..2
....
+
++=
)(( ) ( )[ ]
( ) ( )[ ]
+
+=
ebtbZtt
htbb
Zt
teZhZhredM
uuoFu
uuoFF
wooF
..22
.2
2
2.222
22
22
c: ][:
)(( )( )
( )uFwFuuFuFwF
obtred
NtbtbbhthredZ
..2
...2..
+
++=
)(
( ) ( )[ ]
( ) ( )[ ]
+
+=
etbtbbZh
bt
bXt
thZh
teZhZhredM
uuFuo
Fu
uu
o
F
wooF
...2
22..
2
2.222
222
22
:
wth
Q
.=22
3 =
FFred
wuu tbb =wtbb =
ub: .
tu: .
-
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. . .
(ASCE Standard)][
:
( . .
.
4
0a :
) (w
wr
t
AL
23
Arw: .
) (32
.0 ww
taAr =
a0: .
:) (( ) 3/rFFw AAAr +
) (5.2=o
o
h
a
) (MpaFyt
s
w
t
365
) (20*
dV
M
:ArF: .st: T .
-
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. . .
:
) (rorw PR 2.=
:9.0=o
) (wrr AFyP .=
G.s.Verissimo R.H.Fahmy)(][][
.
) (
= o
o
wpo hArh
tFyMpM .2
.2
:Ar: .Fy: .tw: .ho: .Mp: .
][ :
) (( )[ ][ ] rrwowFppo AFythttDFyVV ..577.0*2..2577.0 +=
:
D: .
Fyr: .
Vp: .
e:
(E.H.Fahmy)][ e )+(
.
(e/D) ).(
-
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. . .
)(
(G.s.Verissimo R.H.Fahmy)][) (][][
: 0e 0=Ar)(
][:
) (
+=
22
0
2eeh
htFyMpM owpo
(T) ][:
) (mBmtpo VVV +=
) (pTt
mT VV .3
6
+=
) (pBbmB VV .36
+=
) (twpT stFyV ...577.0=
)(BwpB stFyV ...577.0=
-
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. . .
) (B
o
b s
a=
t
o
t s
a=
:VmTVBT: T .
VPtVpB: T . St, SB: T .ao: .
0e0Ar)(][:
:
w
r
t
Ae
) (
+= oro
owpo hAeehh
tFyMpM .4
22
w
r
t
Ae >
) (
+=
w
rorwopo
t
Ae
hAthFyMpM
24)2.(
][:
) (mBmtpo VVV +=
) (pBb
bmB
VV .3
6
+
+
=
pt
t
tmt VV
3
6
+
+=
)(bwpB stFyV ...577.0=
twpt stFyV ...577.0=
) (B
o
bs
a=
t
o
ts
a=
) (F
BBb
Arss
2=
F
ttb
Arss
2=
-
5/22/2018 Ali
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. . .
) (BpB
b sV
drpr
.
..2=
tptt sV
drpr
.
..2=
)(pr = Ar . Fy
:Pr: .dr: (T) .
.t.b .t: .
) ( 0e 0=Ar
) ( 0e0Ar
:
:
-
5/22/2018 Ali
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. . .
:
"][][][ (LRFD):
) (ksiFyt
b
F
F
65
2
) (ksiFyt
D
w
640
:
(ho)][][:
) (Dho 7.0
: .)36( ho:
)36(
ao:
) (Dao 5.1
)37( )
. (
-
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. . .
)37(
:
(D)) ( ][][ . )( .
. (D/2)
)( " ][
[][.
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. . .
)(
) (
-
5/22/2018 Ali
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. . .
)(
)T( :
)((T) )0.15D( (T)
)(][][.
) (12=S
ao
(T) )0.15D( (T) )12(
Vmt=0. .
-
5/22/2018 Ali
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. . .
:
s)( ][][:
) (ohs
) (
Vp
V
Vp
V
as oo
.1
.
0
(s) )(
.. .
:
3.0/0
-
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. . .
) (VpVn 45.0and2.2o
o
n
a
][:
)(6.5/6 += Dh
n
aP o
o
o
o
)T( :
20 < Mu / (Vu.D)][SB/ tw> 4][) ( (T)
][][ a0=.
:
T ][][ . :
][][
.
.
][][. ][
)+( )(
:
) ()(
.
)(
.
M
by
P
sy +=
) (ME
aPGA
L
ALAL bbttyt.375.1
2 2220
+
++
=
:
) (beq
eqN
+=
-
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. . .
) (GAy
I
t
eq
eq .
8=
( )[ ]
eq
eq
eqa
I
+=
12/
8
2
0
) (GAy
EI
b
b
b .=
( )[ ]
b
b
ba
I
+=
12/20
:
) (twhA tyt .=
)(twhA bby .=
)()14(. 2121 tttteq IIIII +=
:
Ayt.A: T .It1: (T) .It2: (T) .G: .E: .
P: .M: .Ib.It: T .
)(
-
5/22/2018 Ali
70/145
. . .
" ][
)(sb +=
: .
: . ][ ) (
.
). (
)(
][:
) ( .L
b=
][:
) ( .L=
: .
][:
) (..2
1L=
-
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. . .
:
(Peter Cooper + Snell + Fellows)][ )(
e = 5 cm )(
. )( .
)(
)(
-
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. . .
)(
( ) . (
)( )(
)( )( .
.
.
340-300 575-685 .
. )(
.
)(
-
5/22/2018 Ali
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. . .
(T.C.H.K.F.Chunj. A.C.H)][
.
)(). (
) (
) (
.
. )( .
-
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. . .
) (
" :
.
)0.3 D - 0.5 D(
.
)0.55 D - 0.75D(.
.
.
-
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. . .
* *
:
: )( .
" .
.
(IPE 300 I 300 ) )(
.
.
:
). ( .
)( ). (
:
Fy )(
. )( .
)(
Fy tf bf tw D
mm mm Cm Kg\cm2
mm mm mm mm
195*195 195 4443.5 1.3 135 6.5 300
I 300
195*195 195 200 3521.5 10.7 150 7.1 300 IPE 300
-
5/22/2018 Ali
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. . .
)(
1A:
(IPE 300) (I 300)
do= 0.65D
)( e = 0 :
[ BC I-1 , BC I-2, BC I-3 ] [ BC IPE-1, BC IPE-2 BC IPE-3 ] (50cm). )(
.
-
5/22/2018 Ali
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. . .
)( A1
2A:
(IPE 300) (I 300)
0.65D=Lo= h o
)( :[ BQI-1, BQI-2, BQI-3 ] [ BQIPE-1, BQIPE-2 , BQIPE-3 ]
)(
.
I 300
IPE 300
-
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. . .
)( A2
3A:
(IPE 300) 0.65Ddo=
)(
(38cm x 6cm x 0.6cm
. :
BCRIPE-1 BCRIPE-2 BCRIPE-3 )(
.
I 300
IPE 300
-
5/22/2018 Ali
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. . .
)4( A3
4A:
(I 300) 0.65D=Lo= h o
)(
(e = (38cm x 6cm x 0.6cm)
. :
BQRI-1 BQRI-2 BQRI-3
)( . .
)( A4
IPE 300
I 300
-
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. . .
5A:
(IPE 300)(I 300) .
). (
)( A5
:
][][][
)ASTM
. (
.
I 300
IPE 300
-
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. . .
:
0-15 N/mm2.s ][][][][][][][][
[
. (Fy)
. )( .)(
.
)a( I 300
)b( I 300
-
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. . .
)c( IPE 300
)d( IPE 300
)e(
-
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. . .
)f( )(
)
(
N/mm2KNN/mm2mmmm
web446.263.8531.77.1 - 6-BEAM1 (A30)
flange442.573608.27.81 - 610.28 - 8
web364.362504.17.8 6-BEAM2 (IPE 300)
flange34079.7503.27.8 - 610.01 - 8
2332.361469.48-6- RIEN -FORCEMENT3353.766.4483.27.6-6-
-
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. . .
)3(
FyFu
N/mm2N/mm2
BEAM1 (I300)444.35569.95
ASTM 572-60421.84527.30ASTM 572-65456.99562.45
BS 55-430438.47560.84DIN 17100367.09520.05EU S420428.28601.63G ST 390397.68550.64
BEAM2 (IPE 300)352.15503
ASTM 913-50351.53421.84ASTM 442-50351.53492.14
BS 55-340346.7509.85DIN 17100331.4520.05G ST 345351.8499.66
Reinforcement,
ASTM 913-50351.53421.84ASTM 442-50351.53492.14
BS 55-340
346.7
509.85
DIN ST52 -3331.4520.05
-
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. . .
:
)Tecno test(
. )(
) (.
.
(Dial gauge)( 1 division = 0.01 mm )
.
. .
(Loading System) ][][][][:
:(0-10%)Pmax 5% .
:(20-80%)Pmax 10% .
: .
)( .
1sec/5.0 bar.
-
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. . .
:
:
][][][ Robot
.
.
)()( )()()(
( (Beam Loader) )
( .
:
)(
:
:
)(
.
-
5/22/2018 Ali
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. . .
)(
) (
DbftftwFy
0.65D
0.65D
CmCmCmCmKg\cm2
CmCm
A 30,,,,,,*,
A 40,,,,*
A 60,,,*
IPE 300,,,,,*,
) (
DbftftwFy
0.65D
0.65D
CmCmCmCmKg\cm2
CmCm
HEA 300,,,,,*,
HEA 500,,,,,*,
) (
DbftftwFy
0.65D
0.65D
CmCmCmCmKg\cm2
CmCm
HEM 300,,,,,*,
HEM 50052.4,,,,,*,
-
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. . .
:
)(
.
: do= 0.65D Lo=ho = 0.65D
.
:
) ( ) . (
.
(a)
(b)
)(
)a(
)b(
-
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. . .
* *
:
)()( )()()()(
Fy)( )(
do= (0.65 D) ho= ao= (0.65 D))
( .
. )()(
ho/)=,() ( AF,
)Pu( ) . ( )()(
ho/=, ) .(
)(
Fy tf bf tw D
mm mm Cm Kg\cm2
mm mm mm mm
195*195 195 4443.5 1.3 135 6.5 300
I 300
195*195 195 3521.5 10.7 150 7.1 300 IPE 300
-
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. . .
I300 (ho/D =0.65)
0
10000
20000
30000
40000
50000
60000
Pu
Kg
I 300
)( ),=ho/D(I300
) )()()()((
(ho/D =0.65) IPE300
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
Pu
Kg
I PE300
)( ),=ho/D(IPE300
) )()()()((
( ) I300 -
0
0.1
0.2
0.3
0.4
0.5
0.6
0 50 100 150 200 250
cm
I 300
0.65 D
)( ),=ho/D(
) )()((
-
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. . .
( ) IPE300 -
0
0.050.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0 50 100 150 200 250
cm
IPE 300
0.65D
)( ),=ho/D(
) )()((
:
.
.
)()( ho/D=,) (
AF, Pu ) (.
)()( ho/D=,
) .(
(ho/D =0.65) FEA I300
0
10000
20000
30000
40000
50000
60000
P
u
Kg
I 300
)( ),=ho/D() I300 (
-
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. . .
(ho/D =0.65) FEA I300
0
10000
20000
30000
40000
50000
60000
Pu
Kg
I 300
)( ),=ho/D() I300 (
(ho/D =0.65) FEA IPE300
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
Pu
Kg
I PE300
)( ),=ho/D() IPE300 (
(ho/D =0.65) FEA IPE300
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
Pu
Kg
I PE300
)( ),=ho/D() IPE300 (
-
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. . .
FEA( ) I300 -
0
0.1
0.2
0.3
0.4
0.5
0.6
0 50 100 150 200 250
cm
I 300
0.65D Circle
0.65D Squara
)( ),=ho/D( ) I300(
FEA( ) IPE300 -
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0 50 100 150 200 250
cm
IPE 300
0.65D Circle
0.65D Squara
)( ),=ho/D( ) IPE300(
)()( )
()( .
-
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. . .
)( I 300
)( IPE 300
)( I 300
SMises
kg/cm2
SMises
k /cm2
SMises
kg/cm2
-
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. . .
)( IPE 300
)( I 300
)( IPE 300
SMiseskg/cm
2
SMises
kg/cm2
SMises
kg/cm2
-
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. . .
)( I 300
)( IPE 300
)( )(
SMises
kg/cm2
SMises
kg/cm2
-
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. . .
)( )(
: :
cm=LH cm=
LV .
)()( .
: cm15=LH
cm11=LV
)()( .
:
." " )()( .
)( )(
-
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. . .
)( )(
)( )(
"
. )(
)()( ) ( .
-
5/22/2018 Ali
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. . .
)(
KN
KN
KN
KN
BC I-1BQI-1
BC I-2BQI-2
BC I-3
BQI-3
,
BC IPE-1,BQIPE-1
BC IPE-2,BQIPE-2,
BC IPE-3,
,
BQIPE-3,
,
KN
KN
KN
KN
BCRIPE-1BQRI-1
BCRIPE-2BQRI-2,
BCRIPE-3,
,
BQRI-3,
,
KNI 300302
IPE 300327
-
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. . .
)( )(
)( )(
ho/=,) ( AF,
) ( )(). (
-
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. . .
0
5000
10000
15000
20000
25000
30000
35000
BC I-1 BC I-2 BC I-3 BC IPE-1 BC IPE-2 BC IPE-3
A 1
KG
po
p
)( ) (
0
5000
10000
15000
20000
25000
30000
35000
BQI-1 BQI-2 BQI-3 BQIPE-1 BQIPE-2 BQIPE-3
A 2
KG po
p
)( ) (
0
5000
10000
15000
20000
25000
30000
35000
BCRIPE-1 BCRIPE-2 BCRIPE-3
A 3
KG po
p
)( )AF,( ) (
-
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. . .
0
5000
10000
15000
20000
25000
30000
35000
BQRI-1 BQRI-2 BQRI-3
A 4
KG
po
pop
)( )AF,( ) (
)()( )(
) ( .
)( :
: .
: .
: .: .
1
0
5000
10000
15000
20000
25000
30000
35000
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
cm
KG
I 300
CIRCLE
SQUARE
)( I300) (
-
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. . .
4
0
5000
10000
15000
20000
25000
30000
35000
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
cm
KG
I 300
CIRCLE
SQUARE
)( I300) (
2
0
5000
10000
15000
20000
25000
30000
35000
0 0.2 0.4 0.6 0.8 1 1.2 1.4
cm
KG
I 300
CIRCLE
SQUARE
)( I300) (
3
0
5000
10000
15000
20000
25000
30000
35000
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
cm
KG
I 300
CIRCLE
SQUARE
)( I300) (
-
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. . .
1
0
5000
10000
15000
20000
25000
30000
35000
0 0.2 0.4 0.6 0.8 1
cm
KG
I PE 300
CIRCLE
SQUARE
)( IPE300) (
4
0
5000
10000
15000
20000
25000
30000
35000
0 0.2 0.4 0.6 0.8
cm
KG
I PE 300
CIRCLE
SQUARE
)( IPE300) (
2
0
5000
10000
15000
20000
25000
30000
35000
0 0.2 0.4 0.6 0.8 1 1.2 1.4
cm
K
G
I PE 300
CIRCLE
SQUARE
)( IPE300) (
-
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. . .
3
0
5000
10000
15000
20000
25000
30000
35000
0 0.2 0.4 0.6 0.8 1
cm
K
G
I PE 300
CIRCLE
SQUARE
)( IPE300) (
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 50 100 150 200 250
Cm
Cm
I 300
)( ) (I300
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 50 100 150 200 250
Cm
C
m
IPE 300
)( ) (IPE300
-
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. . .
.
: :
cm,=LH
cm,=LV .
)()( .
:
cm=LH
cm=LV
)()( .
)( )(
-
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. . .
)(
)( )(
)(
-
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. . .
:
) (
: :
" )
(
"
:
) ( =
)(:
)( "
* ** ***
I
30
,
,
,
,
,
,
,
,
,
IP
30
,
,
,
,
,
,
,
,
,
** ***
)()(:
-
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. . .
0
10000
20000
30000
40000
50000
60000
I 300
KG
)( I300) (
0
10000
20000
30000
40000
50000
60000
I 300
KG
)( I300) (
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
IPE 300
KG
)( IPE300) (
-
5/22/2018 Ali
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. . .
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
IPE 300
KG
)( IPE300) (
:
I 300 :
.
I 300 :
.
IPE 300 :
.
IPE 300 :
.
.
-
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. . .
ho :
hodo=1.11
hos =2.11 ho
hor = ho
hodo= 1.1
hos =1.85 ho
hor = ho
:
do: .hos: .ho: .
) ( X = 0.6.
:
38000
40000
42000
44000
46000
48000
IPE 300
KG
()
()
)5( I300) (
)()(
)()(
-
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. . .
0
10000
20000
30000
40000
50000
60000
I 300
KG
()()
)( IPE300) (
: " )
( ): (
)(
) (
Cm
) (
Cm
) (
Cm
0.3802-,,,,0.5366-0.7450.5703
0.5034-,,,,0.78-1.2640.89 I 3
--,,,,0.534-0.74330.541
0.4996-,,,,0.52430.48330.7633- IP30
0.5034-,,,,0.7790.69261.2023-
-
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. . .
--,,,,0.5110.46660.7353-
) ( ) ( )( )()(:
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
I 300
Cm
)( I300) ( )(
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
I 300
Cm
)( I300) ( )(
-
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. . .
0
0.1
0.2
0.3
0.4
0.5
0.6
IPE 300
Cm
)( IPE300) ( )(
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
IPE 300
Cm
)( IPE300) ( )(
" :
I 300 :
.
.
I 300 :
"
-
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. . .
.
.
IPE 300
: .
.
IPE 300 :
.
:
hodo=1.215
hos =1.244 ho
hor = ho
:
hodo=1.163
hos =1.189 ho
hor =0.95 ho
)()
)()
-
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. . .
:
do: .hos: .ho: .
( Z = 2.33
.
:
00.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
1.3
1.4
I 300
cm
( ) ( )
)( I300) ( )(
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
IPE 300
cm
( )
( )
-
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. . .
)( IPE300) ( )(
:
" )ROBOT(
"
" :
.
.
.
.
:
)(
:
:
)(
.
-
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. . .
)(
) (
DbftftwFy
0.65D
0.65D
CmCmCmCmKg\cm2
CmCm
A 30,,,,,,*,
A 40,,,,*
A 60,,,*
IPE 300,,,,,*,
) (
DbftftwFy
0.65D
0.65D
CmCmCmCmKg\cm2
CmCm
HEA 300,,,,,*,
-
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. . .
HEA 500,,,,,*,
) (
DbftftwFy
0.65D
0.65DCmCmCmCmKg\cm
2CmCm
HEM 300,,,,,*,
HEM 50052.4,,,,,*,
:
)(
.
:
) ( ) (
. " .
:
)(do=[ 0.3D , . , 0.75D])(Lo=ho =[ 0.3D , . , 0.75D]
)(
. )()(
) , (
)()( .
-
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. . .
I300
20000
25000
30000
35000
40000
45000
50000
55000
60000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
I 300
)( I300 )AF,(
I400
10000
15000
20000
25000
30000
35000
40000
45000
50000
55000
60000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
I 400
)( I400 )AF,(
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. . .
I600
0
20000
40000
60000
80000
100000
120000
140000
160000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
I 600
)( I600 )AF,(
HEA300
40000
45000
50000
55000
60000
65000
70000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
HEA 300
)( HEA300HEA500
90000
110000
130000
150000
170000
190000
210000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
HEA 500
)( HEA500 )AF,(
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. . .
HEM300
150000
200000
250000
300000
350000
400000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
HEM 500
)( HEM300 )AF,(
HEM500
110000
120000
130000
140000
150000
160000
170000
180000
190000
200000
210000
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
P
Kg
HEM 300
)( HEM500 )AF,(
0
0.2
0.4
0.6
0.8
1
1.21.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
3.2
3.4
0 25 50 75 100 125 150 175 200 225
cm
cm
I 300
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55HDo= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
)( )AF,( I300
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. . .
00.050.1
0.150.2
0.250.3
0.350.4
0.450.5
0.550.6
0.650.7
0.750.8
0.850.9
0.951
1.051.1
1.151.2
1.251.3
1.351.4
1.45
0 25 50 75 100 125 150 175 200 225
cm
cm
I 400
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55H
Do= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
)( )AF,( I400
0
0.050.1
0.15
0.20.25
0.3
0.350.4
0.45
0.50.55
0.60.65
0.7
0.750.8
0.850.9
0.95
1
0 25 50 75 100 125 150 175 200 225
cm
cm
I 600
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55H
Do= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
)( )AF,( I600
00.050.1
0.150.2
0.250.3
0.350.4
0.450.5
0.550.6
0.65
0.70.750.8
0.850.9
0.951
1.051.1
1.151.2
1.251.3
1.351.4
1.451.5
0 25 50 75 100 125 150 175 200 225
cm
cm
HEA 300
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55H
Do= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
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. . .
)( HEA300
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.50.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
0 25 50 75 100 125 150 175 200 225
cm
cm
HEA 500
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55H
Do= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
)( )AF,( HEA500
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0 25 50 75 100 125 150 175 200 225
cm
cm
HEM 300
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55H
Do= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
)( )AF,( HEM300
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0 25 50 75 100 125 150 175 200 225
cm
cm
HEM 500
Do= 0.3H
Do= 0.35H
Do= 0.4H
Do= 0.45H
Do= 0.5H
Do= 0.55H
Do= 0.6H
Do= 0.65H
Do= 0.7H
Do= 0.75H
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. . .
)( )AF,( HEM500
:
0.3 D- 0.4 D
. 0.6D- 0.45 D .
0.65 D 0.75 D .
)
()( :
I300
46000
48000
50000
52000
54000
56000
58000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
0.25af
0.3af
0.35af
0.4af
0.45af
)( I300
I400
40000
42000
44000
46000
48000
50000
52000
54000
56000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
0.25af
0.3af
0.35af
0.4af
0.45af
0.5af
0.55af
0.6af
0.65af
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. . .
)( I400
I600
100000
110000
120000
130000
140000
150000
160000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
0.25af
0.3af
0.35af
0.4af
0.45af
0.5af
0.55af
0.6af
0.65af
0.7af
0.75af
0.8af
0.85af
)( I600
HEA300
59000
60000
61000
62000
63000
64000
65000
66000
67000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
)( HEA300
HEA500
165000
170000
175000
180000
185000
190000
195000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
0.25af
0.3af
0.35af
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. . .
)( HEA500
HEM300
180000
185000
190000
195000
200000
205000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
)( HEM300
HEM500
300000
310000
320000
330000
340000
350000
360000
0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Kg
Po
P
0.1af
0.15af
0.2af
0.25af
0.3af
0.35af
)( HEM500
:
0.3 D- 0.4 D 0.2 AF%
. 0.6 D- 0.45 D 0.35 AF%
.
0.65 D 0.75 D 0.4 AF%
.
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. . .
:
.
. .
:
)(
, T
. )()( 0.65 D
0.4 af ) (. )()(
.
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 50 100 150 200 250
cm
cm
I 300
)( I300
-
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. . .
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 50 100 150 200 250
cm
cm
I 400
)8( I400
0
0.05
0.1
0.15
0.2
0.25
0.3
0 50 100 150 200 250
cm
cm
I 600
)89( I600
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0 50 100 150 200 250
cm
cm
HEA 300
)90( HEA300
-
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. . .
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 50 100 150 200 250
cm
cm
HEA 500
)( HEA500
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 50 100 150 200 250
cm
cm
HEM 300
)( HEM300
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 50 100 150 200 250
cm
cm
HEM 500
-
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. . .
)( HEM500
)( ) (
kg/cm2
)( e = 0.75* T
X=50X=100X=50X=100X=50X=100
I 30046126926613136111380I 40029570132710884361102
I 600252425301657423732HEA 3004106674259964831069HEA 500324401400686524721HEM 300235564263870281966HEM 500168409237662257699
)( ) (
kg/cm2
)(
e = 0.75* T
X=50X=100X=50X=100X=50X=100
I 30046126955413459481421
I 40029570152411145931163
-
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. . .
I 60025242571593010181095
HEA 30041066764711877661278HEA 500324401661759806886HEM 30023556455711746731271HEM 500168409890933985998
:
.
.
.
:
)( do=[ 0.65D] Lo=ho =[ 0.65D]
S= 10,30,50CM( )()(
)( .
)()( )()(
.
)(S = 10
SMises
kg/cm2
-
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. . .
)(S = 30
)(S = 50
)(S = 10
SMises
kg/cm2
SMiseskg/cm
2
SMises
kg/cm2
-
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. . .
)(S = 30
)(S = 50
0
0.5
1
1.5
2
2.5
0 100 200 300 400 500 600
cm
cm
I 300
S 10S 30S 50S 10
S 30
S 50
)( I 300
SMises
kg/cm2
SMises
kg/cm2
-
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. . .
0
0.5
1
1.5
2
2.5
0 100 200 300 400 500 600
cm
cm
I 400
S 10S 30S 50S 10
S 30
S 50
)( I 400
0
0.5
1
1.5
2
2.5
0 100 200 300 400 500 600
cm
cm
I 600
S 10S 30S 50S 10
S 30
S 50
)( I 600
0
0.5
1
1.5
2
2.5
3
0 100 200 300 400 500 600
cm
cm
HEA 300
S 10S 30S 50S 10
S 30
S 50
)( HEA 300
-
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. . .
0
0.5
1
1.5
2
2.5
0 100 200 300 400 500 600
cm
cm
HEA 500
S 10S 30S 50S 10
S 30
S 50
)( HEA 500
0
0.5
1
1.5
2
2.5
0 100 200 300 400 500 600
cm
cm
HEM 300
S 10S 30S 50S 10
S 30
S 50
)( HEM 300
0
0.5
1
1.5
2
2.5
0 100 200 300 400 500 600
cm
cm
HEM 500
S 10S 30S 50S 10
S 30
S 50
)( HEM 500
-
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. . .
)8( ) (
kg/cm2
)(
S = 10cmS = 30 cmS = 50 cm
X=100X=250X=100X=250X=100X=250X=100X=250
I 300
I 400
I 600
HEA 300
HEA 500
HEM 300
HEM 500
)9( ) (
kg/cm2
-
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. . .
)( S = 10cmS = 30 cmS = 50 cm
X=100X=250X=100X=250X=100X=250X=100X=250
I 300
I 400
I 600
HEA 30
HEA 50
HEM 30
HEM 50
S "" . .
:
ho/D0.4
.
)
(20% .
-
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. . .
,
%. %
.
.
"
. "
"
.
" "
.
. . .
2 . .
. .
4 Salmon, Charles. Johnson, John.-Steel Structures Design and Behavior-Fourth Edition, 1996.
5 Cooper, Sole. Chen, Andrew. - Designing Steel Structures Method and Cases- 1985.
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