5/22/2018 Ali
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. . .
. :
.
.
":.
.
.
"
.
5/22/2018 Ali
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. . .
............. ....................................................................................................
) .................................................................................... (
) ................................................................................................... ( ......................................................................
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5/22/2018 Ali
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. . .
..........................................................
) ............................................................ (...
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(T) ...................................................
..........................................................................
..........................................................................................
(T) ................................................................
5/22/2018 Ali
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. . .
....................................................................................
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.................................
) .. (................................................................................... ) ................................................................... (....
.............................................................................................
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5/22/2018 Ali
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. . .
...................................................................
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5/22/2018 Ali
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. . .
))((
.
:
) ( "
.
:
.
) (......
.
:
.
.
) . (
.
.
5/22/2018 Ali
7/145
. . .
:
:
.
.
" .
"
:
.
.
.
:
)ho/D(
)ho/D(.
)
(20% .
,
%. %
5/22/2018 Ali
8/145
. . .
* *
:
:
][ .
. : Ferrous)
Fe( )( .
)(
:
][][
:
: :
- : ). (
)Fe(Iron
Steel
Wrought
Cast Iron
MILD
5/22/2018 Ali
9/145
. . .
- :
.
: .
. : ...
:
.
: .
:
.
: .
: .
:
][][ %
. ][
.
][ .
:
Low Carbon Steel:
),(% .
Mild Steel:
),,%( .
5/22/2018 Ali
10/145
. . .
Medium Carbon Steel:
),,%( .
High Carbon Steel:
),,%( . :
: :
][][ :
.
" .
.
.
.
.
.
.
.
:
.
.
5/22/2018 Ali
11/145
. . .
:
" .
]
[]
[
. .
.
:
][][][
. ][.
F L .
][][)( .
(A) (B).
(D)
(C).
)(
5/22/2018 Ali
12/145
. . .
:
][][][:
).(
. )( .
:
:
][][." :
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) .
5/22/2018 Ali
13/145
. . .
(z) .
:
.
. )( )(
][][.
)(
)(
5/22/2018 Ali
14/145
. . .
:
][][
.
. :Allowable Stress State
][][
Fy.
:Limit State
][][
:
:ultimate Limit state
:
.
) . (
.
). (
.
.
" :
5/22/2018 Ali
15/145
. . .
"": .
":
.
"": . ) . (
. "
:Service ability Limit state
:
:.
.
.
.
.
. "
.
5/22/2018 Ali
16/145
. . .
:
]
[]
[
.
. )(I
][][
][.
)(
:
][
[
][][.
5/22/2018 Ali
17/145
. . .
) . (
:
][][][:
)(: )
( .
: ) (
.
: ) (
.
.
) : (
][][][
:
:
][][
( )
(F) Fy
a )( :
) (Mn = My= Sx Fy
:
5/22/2018 Ali
18/145
. . .
Sx: MnMy:
:
][][ y (y max)
(Fy)
)(b
.
:
][][
)((e) )(
e)( ). (
(b)
)(a.
b.
)(
) (Mp= Fy. Z
:: Mp:
y
y
5/22/2018 Ali
19/145
. . .
.
. ][
.
:Assumption of plastic analysis
][][
:
.
.
.
.
.
""
.
.
.
][][
.
5/22/2018 Ali
20/145
. . .
:Plastic Behavior of simple Beams
AB )( L
0
p
. ]
[]
[]
[]
[]
[
.
"
.
][][
.
)(.
)(
5/22/2018 Ali
21/145
. . .
)(
)(
.
][][.
)(
:
][][:
.
)) ((
.
"
. .
. )( )(
][][][.
Fy
x
L
(L/2)-X
xFy
Pu/2
Pu
(L/2)-X
Fy
Fy
Fy
Fy
5/22/2018 Ali
22/145
. . .
)(
)(
:" )( I
)( ][][][.
5/22/2018 Ali
23/145
. . .
:
][ :
) (EI
Lwe
3
1max
.=
:w: ) (..... ) (.E: 200000 Mpa.I: .
1: ) (. ][ :
) (EIPL
e48
3
=
)( ][ :
) (E
FyY =
][:
) (2/dEIMyY
Y ==
:
Y: .My: .
d: .: .Fy: .
:
Mp
][.
5/22/2018 Ali
24/145
. . .
) (pyu +=
:
: y: p:
)(
+= 2.
. 3
1
p
Pp
L
LLEI
Lwu
:
) (yy
pd
152/
15==
) (LZx
xLp )
51( =
p: .Lp: I 8/LLp =). (L: .
5/22/2018 Ali
25/145
. . .
)(
.
) (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+=
5/22/2018 Ali
26/145
. . .
) :(
][
)(
). (
5/22/2018 Ali
27/145
. . .
:
:
.
:
. . .
. ....
(
)( .
)(
:
.
.
.
5/22/2018 Ali
28/145
. . .
.
.
.
.
:
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:
5/22/2018 Ali
29/145
. . .
:
][][ "" )b(
(a)
(b)
)( a.
b.
:
(shear Zone) (web)
) ( .
" .
D
D
5/22/2018 Ali
30/145
. . .
:
)( .
)(
:
.Rigid Frame
. Simplified Analyze Method
.Vierendeel Truss Method
. Finite Element Analyses
:
][][
.
)(
:
:
.
)(.
5/22/2018 Ali
31/145
. . .
:
. )(
). (
)(
)( ) (
5/22/2018 Ali
32/145
. . .
)( ) ( :
][][][ (T)
.
(T)
]
[]
[
)( (T) .
)(
5/22/2018 Ali
33/145
. . .
:
][][ "
]
[
. ][][ . )(
) .(
)( ) (
][][
)9. (
)9( ) (
D
5/22/2018 Ali
34/145
. . .
:
][][
.
)( :
. :
:
]
[]
[
. (T) . ) (
.
) (
). (
)(
5/22/2018 Ali
35/145
. . .
:
.
.
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: .
][ :
5/22/2018 Ali
36/145
. . .
) (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
5/22/2018 Ali
37/145
. . .
:Mp: .Vp: .M1: ) (.M2: ) . (
V2: ) (.
V/Vp .
). (
(AHMED AFIFI + Q AQISH)][ (T) )
( )
( . ). (
)( (T) :
N.
Q V/2.
Mp (T).
5/22/2018 Ali
38/145
. . .
)( T
(T) (Von misses)
][:
) (222
2
4
3
w
yts
V=
:: .
y: .tw: .V: .S: T.
T )()(
). (
)(
5/22/2018 Ali
39/145
. . .
)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 +=
)(
5/22/2018 Ali
40/145
. . .
)(
][ :
)(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+
++
=
)(
"" .
)( .
.
5/22/2018 Ali
41/145
. . .
)(
(E.H.Fahmy)][ """
M/V)( :
M/V (T) T
. .(A,B) ). ( M/V T ) (
T. T
. T
Ntop Vtop MT ). (
)(
5/22/2018 Ali
42/145
. . .
)( (T)
)(BC
( .
)a) (b()( )a(
)b(
T T
. T
.
T .
)( )( C D )(
T D E
5/22/2018 Ali
43/145
. . .
). (
:
(K.F.chung + C.H.liu)(A.C.H.ko)][][
) (" .
T .
:
.
.
.
][][ )(
T
.
. (
)(
T :
sdN Msd.
5/22/2018 Ali
44/145
. . .
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=
5/22/2018 Ali
45/145
. . .
) (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 ++= ..
5/22/2018 Ali
46/145
. . .
0.50D )
(
. LMS
Qp
=2 ): (
)(
LMS
HM .
LMS T
HMS.
0.5D )( )2A3A(
( .
5/22/2018 Ali
47/145
. . .
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) . (
5/22/2018 Ali
48/145
. . .
)(
) (MWFM poypo = .
) (4
.2
WoPLpo
tdWW =
) (VAFV Voypo = .
) (woVVo tdAA .=:
Mpo: .Vpo: .WPL: .WPo: .Apo: .
do: .tw: .Fy: 0.577Fy.
M: .V: .
5/22/2018 Ali
49/145
. . .
.
T
. ): (
)(
(T)
.
. v
][:
) (po
iVpo
V
Vv .=
Vpo: .vpo: .
v: ). (
)( ][:
3
2v
5/22/2018 Ali
50/145
. . .
) (12
2
=+
m
v
v
3
2v
) (13/23/2( 2
2
=+
mvv
:
) (pov
vv =
) (poivpo
M
MM=
m: )()(.Mpo: .
Mpo: .V: .Vpo: .
: .
)( ). (
) ( v
5/22/2018 Ali
51/145
. . .
)( )(
][
:
) 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
5/22/2018 Ali
52/145
. . .
) (( )
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
5/22/2018 Ali
53/145
. . .
)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 .
5/22/2018 Ali
54/145
. . .
M / MpLQ / QpLN / NpL
). (
)( M / MpLQ / QpLN / NpL
:
(R.GREDWOOD)][][
). (
.
). (
)(
5/22/2018 Ali
55/145
. . .
][ :
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: . )( ). (
5/22/2018 Ali
56/145
. . .
)(
(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
+
+
+
=
][ ). (
)(
5/22/2018 Ali
57/145
. . .
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: .
5/22/2018 Ali
58/145
. . .
(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 .
5/22/2018 Ali
59/145
. . .
:
) (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) ).(
5/22/2018 Ali
60/145
. . .
)(
(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=
5/22/2018 Ali
61/145
. . .
) (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
62/145
. . .
) (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( )
. (
5/22/2018 Ali
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. . .
)37(
:
(D)) ( ][][ . )( .
. (D/2)
)( " ][
[][.
5/22/2018 Ali
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. . .
)(
) (
5/22/2018 Ali
66/145
. . .
)(
)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
5/22/2018 Ali
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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
+=
5/22/2018 Ali
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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
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. . .
" ][
)(sb +=
: .
: . ][ ) (
.
). (
)(
][:
) ( .L
b=
][:
) ( .L=
: .
][:
) (..2
1L=
5/22/2018 Ali
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. . .
:
(Peter Cooper + Snell + Fellows)][ )(
e = 5 cm )(
. )( .
)(
)(
5/22/2018 Ali
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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)][
.
)(). (
) (
) (
.
. )( .
5/22/2018 Ali
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. . .
) (
" :
.
)0.3 D - 0.5 D(
.
)0.55 D - 0.75D(.
.
.
5/22/2018 Ali
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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
76/145
. . .
)(
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
5/22/2018 Ali
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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
5/22/2018 Ali
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. . .
5A:
(IPE 300)(I 300) .
). (
)( A5
:
][][][
)ASTM
. (
.
I 300
IPE 300
5/22/2018 Ali
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. . .
:
0-15 N/mm2.s ][][][][][][][][
[
. (Fy)
. )( .)(
.
)a( I 300
)b( I 300
5/22/2018 Ali
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. . .
)c( IPE 300
)d( IPE 300
)e(
5/22/2018 Ali
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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-
5/22/2018 Ali
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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
5/22/2018 Ali
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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.
5/22/2018 Ali
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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,,,,,*,
5/22/2018 Ali
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. . .
:
)(
.
: do= 0.65D Lo=ho = 0.65D
.
:
) ( ) . (
.
(a)
(b)
)(
)a(
)b(
5/22/2018 Ali
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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
5/22/2018 Ali
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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(
) )()((
5/22/2018 Ali
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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 (
5/22/2018 Ali
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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 (
5/22/2018 Ali
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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(
)()( )
()( .
5/22/2018 Ali
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. . .
)( I 300
)( IPE 300
)( I 300
SMises
kg/cm2
SMises
k /cm2
SMises
kg/cm2
5/22/2018 Ali
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. . .
)( IPE 300
)( I 300
)( IPE 300
SMiseskg/cm
2
SMises
kg/cm2
SMises
kg/cm2
5/22/2018 Ali
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. . .
)( I 300
)( IPE 300
)( )(
SMises
kg/cm2
SMises
kg/cm2
5/22/2018 Ali
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. . .
)( )(
: :
cm=LH cm=
LV .
)()( .
: cm15=LH
cm11=LV
)()( .
:
." " )()( .
)( )(
5/22/2018 Ali
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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
5/22/2018 Ali
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. . .
)( )(
)( )(
ho/=,) ( AF,
) ( )(). (
5/22/2018 Ali
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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,( ) (
5/22/2018 Ali
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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) (
5/22/2018 Ali
103/145
. . .
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) (
5/22/2018 Ali
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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) (
5/22/2018 Ali
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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
5/22/2018 Ali
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. . .
.
: :
cm,=LH
cm,=LV .
)()( .
:
cm=LH
cm=LV
)()( .
)( )(
5/22/2018 Ali
107/145
. . .
)(
)( )(
)(
5/22/2018 Ali
108/145
. . .
:
) (
: :
" )
(
"
:
) ( =
)(:
)( "
* ** ***
I
30
,
,
,
,
,
,
,
,
,
IP
30
,
,
,
,
,
,
,
,
,
** ***
)()(:
5/22/2018 Ali
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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
110/145
. . .
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
IPE 300
KG
)( IPE300) (
:
I 300 :
.
I 300 :
.
IPE 300 :
.
IPE 300 :
.
.
5/22/2018 Ali
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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) (
)()(
)()(
5/22/2018 Ali
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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-
5/22/2018 Ali
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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) ( )(
5/22/2018 Ali
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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 :
"
5/22/2018 Ali
115/145
. . .
.
.
IPE 300
: .
.
IPE 300 :
.
:
hodo=1.215
hos =1.244 ho
hor = ho
:
hodo=1.163
hos =1.189 ho
hor =0.95 ho
)()
)()
5/22/2018 Ali
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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
( )
( )
5/22/2018 Ali
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. . .
)( IPE300) ( )(
:
" )ROBOT(
"
" :
.
.
.
.
:
)(
:
:
)(
.
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,,,,,*,
5/22/2018 Ali
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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]
)(
. )()(
) , (
)()( .
5/22/2018 Ali
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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,(
5/22/2018 Ali
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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,(
5/22/2018 Ali
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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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American Institute of Steel Construction, December 27, 1999.
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1969.
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3. .
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3. .
Mansor, M. Tan, Kiang-Hwee. - Concrete Beams with Openings Analysis and Design -1999. Bower, John.- Recommended Design Procedure for Beams with Web Openings -Engineering
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Redwood
, R. G. - Tables for Plastic Design of Beams with Rectangular Holes -Engineering Journal,
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