Transcript
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FY BLGLER:
H ! E D " B A0 8 0 4 2 1 2 1
#at y$ksek%&'& ()* + ,00 -m#at says + Zem&n . , norma% katYap ku%%anm ama- + /yer&
a , -m
(440.2".2A* (440.2.2* 444 -m
- (480.,B."* (480.3.1* 48 -m
5 (430.,A.2B* (430.,.4* 43 -m
e (400.2A.,B* (400.2.3* 408-m
Deprem 6%7es& Ma%eme Zem&n 9n: Zem&n ruu Zem&n $;en%&ker&%mes&
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DEME HESAPLARI
DEME ALIMA BMNN BELRLENMES:
2%%+ms
% >
&se tek 5o'ru%tu5a >a%/an k&r&/%& 56/eme5&r?
2%
%+m
s
%
&se >&:t 5o'ru%tu5a >a%/an k&r&/%& 56/eme5&r?
D101-D105-D111-D115 :
101 10 111 11,
481@0 2
444m m m m= = = = = =
32
2
7erek%&
2 2 2
me;-ut
me;-ut 7erek%&
8@ 31 10As 221mm
0@38 (1,0 20* ,3
As 221mm
As 8 = ,(12mm * 8 = ,(12mm * 28mm
As As o%5u'un5an ek yap%masna 7erek yok tur?
= =
=
= + =>
!129#D102-D103) !132#D103-D104)
L102C8@31 km=mL10,C1,@13 km=mM5 C11@ km=m
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( )
3
m Z2
11@ 10k 0@2 k 0@4
1000 1,0 20
= = => =
32
2
7erek%&
2 2 2
me;-ut
me;-ut 7erek%&
2 2
ek
11@ 10As ,02mm
0@4 (1,0 20* ,3
As ,02mm
As 8 = ,(12mm * 8 = ,8(1,2mm * 231mm
As As o%5u'un5an ek yap%mas 7erek&r?
As ,02 231 41mm N Ek 5onat 8 = ,,(12mm * o%arak
= =
=
= + =&%m&/t&r?
!125#D106-D107) !134#D109-D110)
L103C1,@,0 km=mL10C1@,1 km=mM5 C1@,1 km=m
( )
3
m Z21@,1 10k 1@23 k 0@42
1000 1,0 20= = => =
32
2
7erek%&
2 2 2
me;-ut
me;-ut 7erek%&
2 2
ek
1@,1 10As 40mm
0@42 (1,0 20* ,3
As 40mm
As 8 = ,(12mm * 8 = ,,(12mm * 281mm
As As o%5u'un5an ek yap%mas 7erek&r?
As 40 281 124mm N Ek 5onat 8 = ,,(12mm * o%arak
= =
= + =&%m&/t&r?
!127#D112-D113) !134#D113-D114)
L112 C8@31 km=mL11,C10@, km=mM5 C10@, km=m
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( )
3
m Z2
10@ , 10k 0@8 k 0@30
1000 1,0 20
= = => =
32
27erek%&
2 2 2me;-ut
me;-ut 7erek%&
2 2ek
10@, 10As 23mm
0@30 (1,0 20* ,3
As 23mm
As 8 = ,(12mm * 8 = ,(12mm * 28mm
As As o%5u'un5an ek yap%mas 7erek&r?
As 23 28 11mm N Ek 5onat 8 = ,,(12mm * o%arak s
= =
=
= + =
&%m&/t&r?
Y-Y D"RLSNDA MESNE DNAISI HESABI:
!106#D101-D106) !111#D106-D111)!115#D110-D115)!110#D105-D110)
Y101 C8@8 km=mY103 C11@8 km=mM5 C10@ km=m
( )
3
m Z210@ 10k 0@ k 0@3,
1000 1,0 20= = => =
32
2
7erek%&
2 2 2
me;-ut
me;-ut 7erek%&
2 2
ek
10@ 10As 282 mm
0@3, (1,0 20* ,3
As 28mm
As 8 = ,(12mm * 8 = ,(12mm * 28mm
As As o%5u'un5an ek yap%mas 7erek&r?
As 282 28 24mm N Ek 5onat 8 = ,,(12mm * o%arak s
= =
=
= + =&%m&/t&r?
!107#D102-D107) !112#D107-D112)!109 #D104-D109)!114#D109-D114)
Y102 C@2, km=mY10 C12@83 km=mM5 C11@8 km=m
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( )
3
m Z2
11@8 10k 0@ k 0@3
1000 1,0 20
= = => =
32
2
7erek%&
2 2 2
me;-ut
me;-ut 7erek%&
2 2
ek
11@8 10As ,02 mm
0@3 (1,0 20* ,3
As ,02mm
As 8 = ,(12mm * 8 = ,(1,3mm * 23mm
As As o%5u'un5an ek yap%mas 7erek&r?
As ,02 23 ,mm N Ek 5onat 8 = ,,(12mm * o%arak
= =
=
= + =
&%m&/t&r?
!LN JE !RLERN NBY HESABI
!RE NBY JERLMES:
m&n Q 20mm ( Deprem Y6netme%&'&*
)k&r&/,00 mm @ )k&r&/,P): ,P1,0 ,0 mm
)maJ,@PQ ,@P20 8 mm
Q20 mm
) 00mm se>&%5&?
!LNLARA NBY JERLMES:
S1-S6-S19-S24 !'%'(%$+:
S$ Y8&%.:
D6/eme A'r%'
101 113
4@44 4@8 4@81? 4?8 ?0 1? 44?88
2 2 2 2 2 2
b c cg g kN
+ = + =
Du;ar A'r%'
2
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( ) ( )
;ar ;ar ( 1@3 0@ 2* * ( * *2 2
4@8 4@44, 0@ 1@3 0@2 2@ , 0@ 2@ 24@28
2 2
kat kiri kat kiriddu ddu
c bh h g h h g
kN
+ +
+ + =
#o%on #en5& A'r%'
0@,0 0@,0 , 2 3@kolon kolon B h kN = =
#&r&/ A'r%'
#101@#12,4@8 4@ 44
( * 0@2 (0@ 0@1,* 2 10@32 2 2 2
kir i d !eme" B
b cb h h kN
+ = + =
83@3d!eme du#ar kolon kiri$ $ $ $ $ kN = + + + =
H$.&.% Y8&%.:
101 113
4@44 4@8 4@81? 2 1? 2@0
2 2 2 2 2 2
b c bq q kN
+ = + =
,2 2
1@4 1@3 1@ 4 88@,1 1@3 2@0 13@8
13@8 10138 138
0@ 0@ 20
d
dc
ck
P $ % kN
P mm cm
f
= + = + =
= = =
S2-S5-S20-S23 !'%'(%$+:
S$ Y8&%.:
D6/eme A'r%'
101 102 113 1@2 2 2 2 2
4@44 4@8 4@44 4@3 4@84@8 4@8 @0 1@ 0?2,
2 2 2 2 2
b c b d bg g g
kN
+ + + + =
,0
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Du;ar A'r%'
( )
;ar( 1@3 0@2* *2 2
4@8 4@ 3, 0@ 1@3 0@2 2@ 1@482 2
kat kiri ddu
c dh h g
kN
+ +
+ + =
#o%on #en5& A'r%'
0@40 0@,0 , 2 kolon kolon B h kN = =
#&r&/ A'r%'
#101@#1024@44 4@8 4@3
( * 0@2 (0@ 0@1,* 2 13@12 2 2 2 2 2
kir i d!eme" B
b c db h h kN
+ + = + + =
110@88d!eme du#ar kolon kiri$ $ $ $ $ kN = + + + =
H$.&.% Y8&%.:
101 102 113 0@2 2 2 2 2
4@44 4@8 4@44 4@3 4@82 2 P 1? 30@32
2 2 2 2 2
b c b d cq q q x
kN
+ +
+ + =
,2 2
1@ 4 1@3 1@4 110@88 1@3 30@32 22@ 224
22@224 10
2222 220@ 0@P20
d
d
cck
P $ % kN
P
mm cmf
= + = + =
= = =
S3-S4-S21-S22 !'%'(%$+:
S$ Y8&%.:
D6/eme A'r%'
,1
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102 10,
4@44 4@3 4@ 44 4@084@8 4@8 4@4
2 2 2 2 2 2 2 2
b d b eg g kN
+ = + =
Du;ar A'r%'
( ) ( ) ( )
;ar ;ar ;ar ( 1@3 0@2* . ( * . ( * . *2 2 2 4
4@3 4@08 4@44 4@44, 0@ 1@3 0@2 2@ , 0@ 2@ , 0@ 2@4
2 2 2 4
kat kiri kat kiri kat kiriddu ddu i&du
d d b bh h g h h g h h g + + + +
+ + + +
4,@0,kN=
#o%on #en5& A'r%'
0@,0 0@40 , 2 kolon kolon B h kN = =
#&r&/ A'r%'
#102@#10,@#124@ 44 4@3 4@08
( * 0@2 (0@ 0@1,* 2 1@22 2 2 2 2 2
k iri d! eme" B
b d eb h h kN
+ + = + + =
114@d!eme du#ar kolon kiri$ $ $ $ $ kN = + + + =
H$.&.% Y8&%.:
102 10,2 2 2 2
4@ 44 4@3 4@ 44 4@ 082 P ,,@01
2 2 2 2
b d b eq q
kN
+
+ =
,2 2
1@4 1@3 1@ 4 114@ 1@3 ,,@01 21,@4421,@44 10
21,44 2140@ 0@P20
d
dc
ck
P $ % kNP
mm cmf
= + = + =
= = =
S7-S12-S13-S1 !'%'(%$+:
S$ Y8&%.:
D6/eme A'r%'
,2
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101 103
4@ 44 4@8 @, 4@84@8 @22 30@4,
2 2 2 2 2 2 2 2
b c a cg g kN
+ = + =
Du;ar A'r%'
( ) ( )
;ar ;ar ( * * ( * *
2 2 2 2
4@44 @, 4@8 4@8, 0@ 2@ , 0@ 2@ 4 3@,
2 2 2 2
kat kiri kat kiriddu i&du
b a c ch h g h h g
kN
+ + +
+ + + =
#o%on #en5& A'r%'
0@40 0@,0 , 2 kolon kolon B h kN = =
#&r&/ A'r%'
#103@#122@#12,@, 4@ 44
( * 0@2 (0@ 0@1,* 4@8 2 13@2 2 2 2 2
k iri d! eme" B
a b cb h h kN
+ + = + + =
12@,1d!eme du#ar kolon kiri$ $ $ $ $ kN = + + + =
H$.&.% Y8&%.:
101 1032 2 2 2
4@44 4@8 @, 4@82 ,@ P ,,@31
2 2 2 2
b c a cq q
kN
+
+ =
,2 2
1@4 1@3 1@4 12@,1 1@3 ,,@31 23@01
23@01 102301 23
0@ 0@P20
d
dc
ck
P $ % kN
P mm cm
f
= + = + =
= = =
S-S11-S14-S17 !'%'(%$+:
S$ Y8&%.:
,,
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D6/eme A'r%'
101 102 103 102 2 2 2 2 2 2 2
4@44 4@8 4@44 4@3 @, 4@8 @, 4@34@8 4@8 @ 22 @22 118@,2 2 2 2 2 2 2 2
b c b d a c a d g g g g
kN
+ + +
+ + + =
Du;ar A'r%'
( ) ( )
;ar ;ar ( * * ( * *2 2 2 2
4@8 4@3 @, 4@8, 0@ 2@4 , 0@ 2@4 30@2
2 2 2 2
kat kiri kat kiriddu i&du
c d a ch h g h h g
kN
+ + +
+ + + =
#o%on #en5& A'r%'0@,0 0@0 , 2 11@2kolon kolon B h kN = =
#&r&/ A'r%'
#103@#10@#12@#123@, 4@44 4@8 4@3
( * 0@2 (0@ 0@1,* 2 22@,2 2 2 2 2 2 2 2
kir i d ! eme" B
a b c d b h h kN
+ + + = + + + =
212@1d!eme du#ar kolon kiri$ $ $ $ $ kN = + + + =
H$.&.% Y8&%.:
101 102 103 102 2 2 2 2 2 2 2
4@44 4@8 4@44 4@3 @, 4@3 @, 4@82 2 84@8
2 2 2 2 2 2 2 2
b c b d a c a d q q q q
kN
+ + + + + + =
,2 2
1@4 1@3 1@4 212@1 1@3 84@8 4,,@482
4,,@482 104,,482 4,4
0@ 0@P20
d
dc
ck
P $ % kN
P mm cm
f
= + = + =
= = =
S9-S10-S16-S16 !'%'(%$+:
,4
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S$ Y8&%.:
D6/eme A'r%'
102 10, 10 108 10
4@ 44 4@ 3 4@ 44 4@ 08 @ , 4@ 3 4@ 08 4@ 08 4@8 4@8 @ 22 @ 0 1@ 2 @ 28
2 2 2 2 2 2 2 2
1@ 2 1@ 22 2 2 2 2 2 2 2 2
'ayans
b d b e a d e e ag g g g g
+ + + +
+ + + +
@ ,1@ 2 114@ ,
2k =
Mer5&;en Kayans%ar
1 1 23@,0
-os 0@84
tg
= =
=
2
2
2
2
2
2
+ 0@1, 2 =0@ 84 ,@ 34 =
+ 0@ 01 20 = 0@84 0@ ,4 =
+ 0@ 0@1 24 1@80 =
+ 0@0, 28 0@84 =
+ 0@0, 2 0@33 =
@28 ='ayans
Payans (rl( kN m
)#a kN m
Basamak kN m
Mermer *a'lama kN m
+ar& " kN m
g kN m
= =
=
=
=
=
Du;ar A'r%'
( ) ( )
;ar ;ar ( * * ( * *
2 2 2 2 4
@, 4@08 4@44 4@3 4@44, 0@ ,@ , 0@ 2@4 8@0
2 2 2 2 4
kat kiri kat kirimerdi#en du i&du
a e b d bh h g h h g
kN
+ + + +
+ + + + =
#o%on #en5& A'r%'
0@40 0@40 , 2 12kolon kolon B h kN = =
,
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#&r&/ A'r%'
#10@#108@#128@#12@, 4@44 4@3 4@08
( * 0@2 (0@ 0@1,* 2 21@ 442 2 2 2 2 2 2 2
kir i d ! eme" B
a b d eb h h kN
+ + + = + + + =
223@1d!eme du#ar kolon kiri$ $ $ $ $ kN = + + + =
H$.&.% Y8&%.:
102 10, 10 1082 2 2 2 2 2 2 2
4@44 4@3 4@44 4@08 @, 4@3 @, 4@082 1@,
2 2 2 2 2 2 2 2
b d b e a d a eq q q q
kN
+ + +
+ + + =
,2 2
1@4 1@3 1@ 4 223@1 1@3 1@, 43,@842
43,@842 1043,842 434
0@ 0@P20
d
dc
ck
P $ % kN
P cm
f
= + = + =
= = =
KatKolo
nG(kN)
Q(kN)
P = G + Q(kN)
Pd= 1.4G + 1.6Q (kN)
Ac(cm2)
Seilen
3.Kat
S1
86,67 29,07 115,74 167,85 168 30x30
2.Kat173,34 58,14 231,48 335,7
33630x30
1.Kat260,01 87,21 347,22 503,55
50430x30
ZeminK.
346,68
116,28 462,96 671,4
67230x30
3.Kat
S2
110,88 60,62 171,5 252,224
25225x30
2.Kat221,76
121,24 343 504,448
50425x30
1.Kat332,64
181,86 514,5 756,672
75630x40
Zemin
K.
443,5
2
242,4
8 686 1008,8961008
30x403.Kat S3 114,7 33,01 147,78 213,494 214 30x25
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7
2.Kat229,54 66,02 295,56 426,988
42830x25
1.Kat344,31 99,03 443,34 640,482
64240x30
ZeminK. 459,08 132,04 591,12 853,976 856 40x30
3.Kat
S7
152,31 33,61 185,92 267,01
26725x30
2.Kat304,62 67,22 371,84 534,02
53425x30
1.Kat456,93
100,83 557,76 801,03
80130x40
ZeminK.
609,24
134,44 743,68 1068,04
106830x40
3.Kat
S8
212,51 84,98 297,49 433,482
43435x35
2.Kat425,02
169,96 594,98 866,964
86835x35
1.Kat637,53
254,94 892,47 1300,446
130245x45
ZeminK.
850,04
339,92 1189,96 1733,928
173645x45
3.Kat
S9
226,71 91,53 318,24 463,842
46440x40
2.Kat453,42
183,06 636,48 927,684
92840x40
1.Kat
680,1
3
274,5
9 954,72 1391,5261392
50x50ZeminK.
906,84
366,12 1272,96 1855,368
185650x50
,
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MERDJEN SA! JE BENARME HESABI
Y8& A($%K:
S$*$(%+& P%$+
#en5& A'r%'+ 2 J 0@1, ,@2 k= m2Mer5&;en K%ak A'r%' + 28 J 0@0, 0@84 k= m2
&mento Har-+ 22 J 0@0, 0@33 k= m2
9;a+ 20 J 0@01 0@, k= m2
@0 k=m2 S k=m2
K5 1?4 J @0 . 1@3 J 1@0 k=m2
M.?.( !'% /%$+
1 1 23@ -os 0@84,0
tg = = =
#en5& A'r%'+ 0@1, J 2=0@84 ,@34 k= m2
Basamak A'r%' + 0@1 J 2,=2 1@2 k= m2
&mento Har-+ 0@0, J 22 0@33 k= m2
9;a+ 0@01 J 20 0@, k= m2
Mermer #ap%ama+ 0@0,J 28 0@84 k= m2
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
@1 k=m2 S k=m2
K5 1?4 J @1 . 1@3 J 18@02 k=m2
K5sa)? 1@1 J 1@0 2@8 k=m2
K5ko%? 1@1 J 18@02 ,0@ k=m2
$
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
Ara sa)an%k p%a' ;e mer5&;en ko% p%a' &>&n tasarma esas e'&%me moment& ( )esap moment&*M 5&ya7ramn5a en $y$k 5e'er o%an M5 44@3 km 5&r?
!$ S$*$(%++ /%$+ (:
#at sa)an%' p%a' &>&n )esap%anan M5 12@3 km 5e'er& mer5&;en 7en&/%&'&ne 6%$nerek1 m mer5&;en 7en&/%&'&ne 7e%en e'&%me moment& 5e'er& )esap%anr? Bu 5e'er@ p%ak>6$m$n5en 7e%en 5e'er &%e kar/%a/tr%arak tasarma esas kes&t tes&r& e%&r%en&r? Tasarmaesas kesme ku;;et& &se en $y$k 5e'er o%an mesnet kes&m&n5ek& 5e'er@ 5 1,, k /ek%&n5e5e'er%en5&r&%e-ekt&r?
1m 7en&/%&k &>&n e'&%me moment& +
12@3,@21 =
1@1kNm m=
Deme moment hea!"n#an $e%en e&i%me momenti #e&e'i ( 9,36)*m+m
Lk @,3 km=mL ,@21 km=m
LkO 0?8 GL o%5u'un5an 5en7e%eme yap%mas 7erekmekte5&r?
L C Lk 3,@8
r1
,444
, ,
444 ,
EI
EI EI+
0@ r2
,,
, ,
444 ,
EI
EI EI+
0@4
A$ S$*$(%+& P%$+ ?. M.?.( !'% P%$+ B.'($. H.
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0, = !- !s 0@8 J 1, J 11 J 24@11 AsJ ,3
As 121@122 mm2
122 13
8@4-onat dedi =
2 2 2
11 114 200 114 11
13 1
10 = 2,(,41 * 8 = 2,(,41 * 382 ?
-onat ral( mm mm
mm -./ mm Pliye mm se&ilmitir
= <
+ =
!$ S$*$(%++ P%$+ B.'($. H.at%ama 76r$%meye-e'&n5en@ kayma 5onats )esana 7erek yoktur?
#at 9a)an%'n5ak& M5 2@, km e'&%me moment&n&n kontro%$+
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
0M = Mr M5 0@8 J 1, J 11 J a ( 110 a=2* 2@,J103
a 14@,, mm
0, = !- !s 0@8 J 1, J 11 J 14@,, AsJ ,3
As 44 mm2
2 10 = 2, 1310 44
?
me#cut
me#cut gerekli
s mm
s s oldu(undan ek ya'lmas gerek yoktur
= = > >
EMN !A AJANI - JE 1-1 A!SLARININ D>EY Y>!LERE GRE SA!EREJE HESAPLARI
1=1 A!SI !RLERE GELEN Y>!LERN BELRLENMES :
!101- !105 !%. :
S$ Y8&%. :
D8K8( Y$+%+ Y8&
-#&r&/&n ken5& a'r%' +( ) ( )0@2 0@0 0@1, 2 2@,1" f bab h h kNm = =
CDu;ar a'r%'+( ) ( ), 0@0 2@ @,8 kmkat kir ddu#h h = =
CD113 56/emes& 113 ?, 1?32 8?31 kH=mg l = =
$/.K Y$+%+ Y8&
CD101 56/emes&
101
4?444?8 10@83 k=m
2 2
bg = =
H$.&.% Y8&%. :
D8K8( Y$+%+ Y8&
CD113 56/emes& 113 1?32 8?1, k=mq l = =
$/.K Y$+%+ Y8&
42
7/24/2019 Aykut zdemi r b.a Tasarim
43/160
7/24/2019 Aykut zdemi r b.a Tasarim
44/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
H$.&.% Y8&%. :
>.( Y$+%+ Y8&
CD10, 56/emes&
10,
4?08 10?2 k=m
2 2
bq = =
- A&
7/24/2019 Aykut zdemi r b.a Tasarim
45/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
CD10, 56/emes&
10,
4?08 10@2 k=m
2 2
bq = =
!12 ! :
S$ Y8&%. :
D8K8( Y$+%+ Y8&
-#&r&/&n ken5& a'r%' +( ) ( )0@2 0@0 0@1, 2 2@,1" f bab h h kNm = =
CDu;ar a'r%'+( ) ( ), 0@0 2@4 3@1, kHmkat kir i&du#h h = =
$/.K Y$+%+ Y8&
CD10 56/emes&
10
4?3?22 12?1 k=m
2 2
bg = =
>.( Y$+%+ Y8&
C9a)an%k ?0 1?2 3?03 kH=msahanlkg l = =
.&% Y8&
-Mer5&;en Kayans = 2 (@28 1?1* 2? = 2 13?83 kH=m'ayansg l = =
H$.&.% Y8&%. :
>.( Y$+%+ Y8&
C9a)an%k 1?2 3 k=msahanlkq l = =
$/.K Y$+%+ Y8&
CD10 56/emes&
10
4?3 11@38 k=m
2 2
bq = =
.&% Y8&
4
7/24/2019 Aykut zdemi r b.a Tasarim
46/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
-Mer5&;en Kayans
= 2 ( 1?1* 2? = 2 11?8 kH=m'ayansq l = =
E!L ABLA GENL!LER JE AALE MMENLERNN BLNMASI :
!101- !105- !116- !120 !%. #!.($ !) :
1
2 ,
2 ,
0@ 0@ 48 ,40@ A
2
0@1 ,40@ A ,4@ 0A
A,@18
'
"
"
l 1 cm
b cm
b b cm
b b b b cm
= = =
=
= = =
= + + =
b
bw b3b2
hf =13 cm
37 cm
(,@18 4,? (2 ,* 18?,2@38
(,?18 1,* (2 ,*$y cm
13) + = =
+
, 22 2
1 2
4 4
,@18 1, 2 ,(,?18 1,* (10?18* (2 ,* (14?18*
12 12
40,,?24 4?04
x x x
x
I I I
I cm dm
= + = + + +
= =
!102- !104- !117- !119 !%. # !) :
43
7/24/2019 Aykut zdemi r b.a Tasarim
47/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
1
1
0@ 3 0@ 3 43 280?2
2
0@1 280@ 2 28@ 02
,@ 02
'
"
"
l 1 cm
b cm
b cm
b b b cm
= = =
=
= =
= + =
b
bw b1
hf =13 cm
37 cm
(,@02 4,? (2 ,* 18?2@1
(,?02 1,* (2 ,*$y cm
13) + = =
+
, 22 2
1 2
4 4
,@02 1, 2 ,(,@ 02 1,* (14?,,* (2 ,* (10@ 3*
12 12
,3208,?1 ,3@21
x x x
x
I I I
I cm dm
= + = + + +
= =
!103- !11 !%. # !) :
4
7/24/2019 Aykut zdemi r b.a Tasarim
48/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
1
1
0@ 3 0@ 3 408 244?8
2
0@1 244@ 8 24@ 48
4A@ 48
'
"
"
l 1 cm
b cm
b cm
b b b cm
= = =
=
= =
= + =
b
bw b1
hf =13 cm
37 cm
28@$y cm=
4 4,11,@ ,@1xI cm dm= =
!106- !110- !111- !115 !%. #!.($ !) :
1
2 ,
2 ,
0@ 0@ 48 ,40@ A
2
0@1 ,40@ A ,4@ 0A
A,@18
'
"
"
l 1 cm
b cm
b b cm
b b b b cm
= = =
=
= = =
= + + =
b
bw b3b2
hf =13 cm
37 cm
48
7/24/2019 Aykut zdemi r b.a Tasarim
49/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
(,@18 4,? (2 ,* 18?,2@38
(,?18 1,* (2 ,*$y cm
13) + = =
+
, 22 2
1 2
4 4
,@18 1, 2 ,
(,?18 1,* (10?18* (2 ,* (14?18*12 1240,,?24 4?04
x x x
x
I I II cm dm
= + = + + + = =
!107- !109- !112- !114 !%. # !) :
1
2 ,
2 ,
0@ 3 0@ 3 43 280@ 2
2
0@1 280@ 2 28@ 02
81@ 04
'
"
"
l 1 cm
b cm
b b cm
b b b b cm
= = =
=
= = =
= + + =
b
bw b3b2
hf =13 cm
37 cm
,1@81$y cm=
4 442820,? 42?82xI cm dm= =
!10 ! # !) :
4
7/24/2019 Aykut zdemi r b.a Tasarim
50/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
1
1
0@ 3 0@ 3 408 244?8
2
0@1 244@ 8 24@ 48
4A@ 48
'
"
"
l 1 cm
b cm
b cm
b b b cm
= = =
=
= =
= + =
b
bw b1
hf =13 cm
37 cm
28@$y cm=
4 4,11,@ ,@1xI cm dm= =
!113 ! # !) :
1
2 ,
2 ,
0@ 3 0@ 3 408 244@ 8
2
0@1 244@ 8 24@ 48
,@ A3
'
"
"
l 1 cm
b cm
b b cm
b b b b cm
= = =
=
= = =
= + + =
b
bw b3b2
hf =13 cm
37 cm
0
7/24/2019 Aykut zdemi r b.a Tasarim
51/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
,1@24$y cm=
4 441,20?2 41?,xI cm dm= =
!121- !123-!136-!13 !%. #!.($ !) :
1
1
1
0@ 0@ 444 ,10?8
2
0@1 ,10?8 ,1@ 0 8
3@08
'
"
"
l 1 cm
b cm
b cm
b b b cm
= = =
=
= =
= + =
b
bw b1
hf =13 cm
37 cm
2@2$y cm=
4 4,0310@3 ,@03xI cm dm= =
!122- !137 !%. # !) :
1
7/24/2019 Aykut zdemi r b.a Tasarim
52/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
1
1
0@ 3 0@ 3 , ,21
2
0@1 ,21 ,2@1
@1
'
"
"
l 1 cm
b cm
b cm
b b b cm
= = =
=
= =
= + =
b
bw b1
hf =13 cm
37 cm
2@3,$y cm=
4 4,,,38@3 ,@,4xI cm dm= =
!124- !126- !133- !135 !%. #!.($ !) :
2
7/24/2019 Aykut zdemi r b.a Tasarim
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7/24/2019 Aykut zdemi r b.a Tasarim
54/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
,2@41$y cm=
4 444,41@3 44@,xI cm dm= =
!127- !129- !130- !132 !%. #!.($ !) :
1
2 ,
2 ,
0@ 0@ 444 ,10@8
2
0@1 ,10@ 8 ,1@ 08
8@13
'
"
"
l 1 cm
b cm
b b cm
b b b b cm
= = =
=
= = =
= + + =
b
bw b3b2
hf =13 cm
37 cm
,2@23$y cm=
4 44,2@ 4,@8xI cm dm= =
!12- !131 !%. # !) :
4
7/24/2019 Aykut zdemi r b.a Tasarim
55/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
1
1
0@ 3 0@ 3 , ,21
2
0@1 ,21 ,2@1
@1
'
"
"
l 1 cm
b cm
b cm
b b b cm
= = =
=
= =
= + =
b
bw b1
hf =13 cm
37 cm
2@3,$y cm=
4 4,,,38@3 ,@,4xI cm dm= =
N': 12 6*, ?. 12 L'1O2 12 L'2O2 $%$+ &'('% .% ?.
7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
!LN AALE MMENLERNN BLNMASI :
S1 S6 !'%'(%$+ :
2
,4 4
4
4
,0 ),0-m A 00-m ) ,
,0 ,0300 3@
12
3@2@2 =
) ,
3@ 2@2 =) ,
kat
X y
XX
kat
yy
kat
b cm m
I I cm dm
Ik dm m
Ik dm m
= =
= = = =
= = =
= = =
S2 S5 !'%'(%$+ :
2
,4 4
,4 4
4
4
,0 )40-m A 1200-m ) ,
,0 0 130000 1312
00000
12
13@,, =
) ,
, =
) ,
kat
X
y
XX
kat
y
y
kat
b cm m
I cm dm
I cm dm
Ik dm m
Ik dm m
= =
4= = =
403= = =
= = =
= = =
3
7/24/2019 Aykut zdemi r b.a Tasarim
57/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
S3 S4 !'%'(%$+ :
2
,4 4
,4 4
4
4
40 ),0-m A 1200-m ) ,
40 00000
12
0130000 13
12
, =
) ,
13@,, =
) ,
kat
X
y
XX
kat
y
y
kat
b cm m
I cm dm
I cm dm
Ik dm m
Ik dm m
= = 3
= = =
304= = =
= = =
= = =
S9 S15 !'%'(%$+ :
2
,4 4
4
4
0 )0-m A 200-m ) ,
0 0208,,@,, 2@08
12
2@08 1@,3 =) ,
2@081@,3 =
) ,
kat
X y
XX
kat
y
y
kat
b cm m
I I cm dm
Ik dm m
Ik dm m
= =
5= = = =
= = =
= = =
AN!ASREL! MMENLERNN JE !ESME !JJELERNNBLNMASI:
A(&$
7/24/2019 Aykut zdemi r b.a Tasarim
58/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
MjiMij
l
q
2
12
2
23 32
23 32
lM M q
l4 4 q
= =
= =
MjiMij
q
l
a a
2
A3
4
23 32
23 32
M M q l
l4 4 q
= =
= =
MjiMij
q
l
l/2 l/2
8
7/24/2019 Aykut zdemi r b.a Tasarim
59/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
MjiMij
P
l
a
P
a
( )
( )
221 2
12
2
23 32
23 32
qlM M a a
q l a4 4
= =
= =
(1 *23 32
23 32
M M P a
4 4 P
= =
= =
MjiMij
q
l
c
q
c
22V1 1@ 0@3 W
,
2
23 32
23 32
qcM M
q l4 4
= = +
= =
7/24/2019 Aykut zdemi r b.a Tasarim
60/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
= = =c 1 a 1 B 1 = = =
!101- !105 !%. :
D8K8( Y$+%+ Y8&%.
2
2
4@8C 18@, ,3@1
12
4@8C 18@, 44@3
2
4@8C 8@1, 13@0
12
4@8C 8@1, 1A@8
2
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kN
M M kNm
4 4 kN
= = =
= = =
= = =
= = =
$/.K Y$+%+ Y8&%.
( )
( )
( )
( )
22
22
10@83 4@81 0@ 43 2 0@43 14@8A
12
10@83 4@8 2@2214@,A
2
4@44 4@81 0@43 2 0@43 @A3
12
4@44 4@8 2@22@88
2
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kNm
M M kNm
4 4 kNm
= = =
= = =
= = =
= = =
!102- !104 !%. :
D8K8( Y$+%+ Y8&%.
30
7/24/2019 Aykut zdemi r b.a Tasarim
61/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
24@3C A@3A 1@31
12
4@3C A@3A 22@3,
2C C 0
3g2g
3g2g
3q 3q2q 2q
M M kNm
4 4 kN
M M 4 4
= = =
= = =
= = = =
$/.K Y$+%+ Y8&%.
( )
( )
( )
( )
22
22
10@83 4@31 0@48 2 0@48 12@A4
12
10@83 4@3 2@221,@,0
2
4@44 4@31 0@48 2 0@48 @28A
12
4@44 4@3 2@22@44
2
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kNm
M M kNm
4 4 kNm
= = =
= = =
= = =
= = =
!103 ! :
D8K8( Y$+%+ Y8&%.
24@08C A@3A 1,@44
12
4@08C A@3A 1A@
2
C C 0
3g2g
3g2g
3q 3q2q 2q
M M kNm
4 4 kN
M M 4 4
= = =
= = =
= = = =
>.( Y$+%+ Y8&%.
31
7/24/2019 Aykut zdemi r b.a Tasarim
62/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
2
2
A@A8 4@08 8@3
A3
4@08A@A8 10@18
4
10@12 4@08 8@84
A3
4@0810@12 10@40
4
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kN
M M kNm
4 4 kN
= = =
= = =
= = =
= = =
!127-!129 !%. :
D8K8( Y$+%+ Y8&%.
24@44C 8@44 1,@8
12
4@44C 8@44 18@4
2
C C 0
3g2g
3g2g
3q 3q2q 2q
M M kNm
4 4 kN
M M 4 4
= = =
= = =
= = = =
>.( Y$+%+ Y8&%.
2
2
10@83 4@44 11@1
A3
4@4410@83 12@03
4
4@44 4@44 4@3
A3
4@444@44 4@A,
4
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kN
M M kNm
4 4 kN
= = =
= = =
= = =
= = =
$/.K Y$+%+ Y8&%.
32
7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
( )
( )
( )
( )
22
22
A@A8 4@441 0@ 43 2 0@ 43 11@03
12
A@A8 4@44 2@0411@A8
210@2 4@44
1 0@ 43 2 0@ 43 11@,012
10@2 4@44 2@0412@24
2
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kNm
M M kNm
4 4 kNm
= = =
= = =
= = =
= = =
!12 ! :
D8K8( Y$+%+ Y8&%.
2@,C 8@44 20@1,
12
@,C 8@44 22@82
C C 0
3g2g
3g2g
3q 3q2q 2q
M M kNm
4 4 kN
M M 4 4
= = =
= = =
= = = =
.&% Y8&%.
13@83 1@2V1 1@
13@83
11@8 1@2V1 10@8
11@8
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kN
M M kNm
4 4 kN
= = (1, 2 / 5, 35)] =
= =
= = (1, 2 / 5, 35)] =
= =
>.( Y$+%+ Y8&%.
3,
7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
22V1 1@ 0@3 W 2@ 42
,
,@34
22@4
,@3
3g2g
3q2q
3g2g
3q2q
qcM M kNm
q l4 4 kN
M M kNm
4 4 kN
= = + =
= = =
= =
= =
$/.K Y$+%+ Y8&%.
34
7/24/2019 Aykut zdemi r b.a Tasarim
65/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
( )
( )
( )
( )
22
22
12@1A @,1 0@44 2 0@44 20@,8
12
12@1A @, 2@,418@,
2
11@38 @,1 0@44 2 0@44 1A@,
12
11@38 @, 2@,41@8
2
3g2g
3g2g
3q2q
3q2q
M M kNm
4 4 kNm
M M kNm
4 4 kNm
= = =
= = =
= = =
= = =
3
7/24/2019 Aykut zdemi r b.a Tasarim
66/160
7/24/2019 Aykut zdemi r b.a Tasarim
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- / D
K
S3 9
S3 9S21 9
S9 52,083
S9 52,083
S15 52,083
S15 52,083
K129 K127128
43,98 37,34 43,98
444 444535
S21 9300
300
Betonarme Yap Tasarm08042121 Aykut ZDEMR
!%.. E%?.
7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
B 5$'$m noktas+
4 4,@8
4@44 0@184 4,@8 4 4 4
4@44 , , @,
4
, 0@,284 4,@8 4 4 4
4@44 , , @,
4
@,4 4,@8 4 4
4@44 ,
B
B$ B+
B5
E
rE E E E
E
r rE E E E
E
rE E E
= = 52,083 52,083 37,34
+ + +
52,083
= = = 52,083 52,083 37,34+ + +
37,34
=
52,083 52,+ +
0@14
, @,
1B B$ B+ B5
E
r r r r
=
083 37, 34+
+ + + =
38
7/24/2019 Aykut zdemi r b.a Tasarim
69/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
3
7/24/2019 Aykut zdemi r b.a Tasarim
70/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
0
7/24/2019 Aykut zdemi r b.a Tasarim
71/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
7/24/2019 Aykut zdemi r b.a Tasarim
72/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
2
7/24/2019 Aykut zdemi r b.a Tasarim
73/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
,
7/24/2019 Aykut zdemi r b.a Tasarim
74/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
4
7/24/2019 Aykut zdemi r b.a Tasarim
75/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
7/24/2019 Aykut zdemi r b.a Tasarim
76/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
3
7/24/2019 Aykut zdemi r b.a Tasarim
77/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
A+&%+& M'.(%.(( ?. !.
7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
(#128 #&r&/&*
@, m
123@3 kHm123@3 kHm
11@813 kH=m
,@4 kH=m
"BB"
B "
18@084 kH=m42@1,2 kH42@1,2kH
2@,4 m 0@3 m 2@,4 m
1@,2 m 2@0 m 1@,2 m
XM" 0B"1,8@40 kXMB 0"B1,8@40 k
MmaJ Moment&n&n Yer& ;e De'er& +
J 2@38 m ( 9&metr& *MmaJ@3 km
P-G-P(#12C#12 #&r&/%er&*
4@44 m
33@4 kHm1@1 kHm
8@44 kH=m
20@180 kH=m
1@,0 kH=m
BAABA B
2@04 m 0@,3m 2@04 m
XMB 0AB4@4 kXMA 0BA0@4, k
MmaJ Moment&n&n Yer& ;e De'er& +
J 1@ mMmaJ,@ km
8
7/24/2019 Aykut zdemi r b.a Tasarim
79/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
G-P-G:(#128 #&r&/&*
@, m
8@4 kHm8@4 kHm
8@44 kH=m
2,@8 kH=m
"BB"
B "
12@03 kH=m28@44 kH28@44 kH
2@,4 m 0@3 m 2@,4 m
1@,2 m 2@0 m 1@,2 m
XM" 0B"4@181 kXMB 0"B4@181 k
MmaJ Moment&n&n Yer& ;e De'er& +J 2@38 m ( 9&metr& *MmaJ4@3 km
0@ (#12C#12 #&r&/%er&*
7/24/2019 Aykut zdemi r b.a Tasarim
80/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
4@44 m
44@40 km11@81 km
@3 k=m
8@8 k=m
@ k=m
BAAB
A B
2@04 m 0@,3 m 2@04 m
XMB 0AB,1@1 kXMA 0BA4@8, k
MmaJ Moment&n&n Yer& ;e De'er& +
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MmaJ Moment&n&n Yer& ;e De'er& + J 2@38 m ( 9&metr& *MmaJ2@,8 km
80
7/24/2019 Aykut zdemi r b.a Tasarim
81/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
M.
7/24/2019 Aykut zdemi r b.a Tasarim
82/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
K5 Y$k%emes&+
20@,08 kH=m
,@,,
A
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2@04 2@22
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1 2
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82
7/24/2019 Aykut zdemi r b.a Tasarim
83/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1 2
,@4 0@1 18@084 0@10@1 t 10@8 t 10@
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4 kN
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8,
7/24/2019 Aykut zdemi r b.a Tasarim
84/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
12@04 k=m
A
2,@8 k=m
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@0k
1 2
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84
7/24/2019 Aykut zdemi r b.a Tasarim
85/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1 2
8@8 0@20@2 t 1@10 t @ 1@12
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2 2B5
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4 kN
= = = = =
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8
7/24/2019 Aykut zdemi r b.a Tasarim
86/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
"C" Aks E%;er&/s& Y$k%eme%er& >&n Moment D&ya7ram%ar
83
7/24/2019 Aykut zdemi r b.a Tasarim
87/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
"C" Aks E%;er&/s& Y$k%eme%er& >&n #esme #u;;et& D&ya7ram%ar
8
7/24/2019 Aykut zdemi r b.a Tasarim
88/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1=1 Aks E%;er&/s& Y$k%eme%er& >&n Moment D&ya7ram%ar
88
7/24/2019 Aykut zdemi r b.a Tasarim
89/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1=1 Aks E%;er&/s& Y$k%eme%er& >&n #esme #u;;et& D&ya7ram%ar
8
7/24/2019 Aykut zdemi r b.a Tasarim
90/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
YAPININ YAAY Y>!LERE #DEPREM) GRE HESABI
!$ ?. B($ A+%++(+( B@%@($
7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
!R REDRLERNN HESABI
bL
bw
hfA1
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bw
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1
7/24/2019 Aykut zdemi r b.a Tasarim
92/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
2
7/24/2019 Aykut zdemi r b.a Tasarim
93/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1-1 A!SI#C-C YN> N HESAP)
+
+
i0- Yatay2/afi 6i0itlik
a -./eltme *atsays
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1 2 3 4
2
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kc
+ + +=
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2
ka
k=
+
Zem&n katta+1 2
k kk
kc
+=
;e
0,5
2
ka
k
+=
+
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7/24/2019 Aykut zdemi r b.a Tasarim
94/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
ij CD a k=
B($(+( B(; D'$% . P.'@(@( H.&n E- 2@8 J 10 ks2=m
= =2
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h Di
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2!a" 401%4& 300%00 700%00 1&24&4%73 0%003&4 0%00'42 2%&3 0%035(5
1!a" 401%4& 200%00 '00%00 300254%77 0%00300 0%0055' 1%12 0%01254
#emin 401%4& 100%00 1000%00 3&(0(4%34 0%0025' 0%0025' 0%2( 0%002('
) &%&5 0%11
2 84,24 T1 ( 1. #o&a% tit'eim pe'iBo#C ;n=, T2+E
= 9,18 0,68
Ta 0,15 Zemin S"n"F"
T! 0,4
S;T= 1,627
A*T1+ 0%4&&
, &
-" '7'%521 G 481,77
Hn 29,386
4
7/24/2019 Aykut zdemi r b.a Tasarim
95/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
E.. D./. Y8&8 Y(.:
A(T1*6 6n$ne a%nan 5eprem 5o'ru%tusu &>&n &nann 1? 5o'a% t&tre/&m per&yo5u T1e kar/7e%en spektra% &;me katsays
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in4014,784
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2
I 120443,52
7/24/2019 Aykut zdemi r b.a Tasarim
96/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
>?> @nAn#e : 'e)an"n"n ea!"
kat mi=Wi/g Ffi Vfi $5i i dfi Ffidfi mi.dfi2
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5409,4
4182484,7
30,0022436
90,0115324
44,38 0,05
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4694,4
8182484,7
30,0038056
90,0092887
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1.)at 401,48190,0
3884,5
1300254,7
70,0029458
60,0054830
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401,48 95,01979,5
2386064,3
40,0025372 0,0025372 0,24 0,00
8,31 0,10
:= 80,96 T1 ( 1. #o&a% tit'eim pe'iBo#C ;n=, T2+EE 9,00 0,70
3
7/24/2019 Aykut zdemi r b.a Tasarim
97/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
! D./. M'.(%.(( B@%@($
7/24/2019 Aykut zdemi r b.a Tasarim
98/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
787 ; 5?P@? K@C 5?P@? D?NEF?@NDKE
AK1&1(#
ol)
K1&1(#a)
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K1&:(#a)
K1&,(#ol0#a)
A 21,29 ? 8,64 7,24 K 10,16 11,30B 50,25 2 20,39 17,10 F 23,99 26,67 58,25 G 33,58 28,15 41,35 45,97
5 47,51 - 37,34 31,30 N 48,82 54,28
C-C D"RLS 1-1 A!SI !R DEPREM MMEN D>ELMELERKat ! N' M
7/24/2019 Aykut zdemi r b.a Tasarim
99/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
787 5DI@JFEJSJ 181 AKS> K@C 5?P@? K?S? KJ//?EF?@
KAEND
K@C NDK1&1 K1&: K1&, K1&4 K1&*
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, 6,15 ?6,15 3,73 ?3,73 5,54 ?5,54 3,73 ?3,73 6,15 ?6,15
:14,5
1?14,51 8,80 ?8,80
13,07
?13,07 8,80 ?8,8014,5
1?14,51
118,8
6?18,86
14,88
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4?22,54
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787 ;NL 484 AKS> KDFDN JM D?NEF?@ 5LH?FE?S
Kat Kolon Malt Mst M'alt M'st
3S1 17,42 21,29 14,20 18,07S: 13,00 15,88 10,59 13,48S, 17,56 21,46 14,31 18,21
2S1 32,83 32,83 27,36 27,36S: 24,49 24,49 20,41 20,41S, 33,09 33,09 27,58 27,58
1
S1 25,41 25,41 21,18 21,18S: 37,23 37,23 31,03 31,03S, 54,23 54,23 45,19 45,19
ZminS1 27,01 22,10 22,91 18,00S: 38,39 31,41 32,57 25,59S, 59,74 48,88 50,69 39,83
- A!SI#Y-Y YN>) N HESAP
7/24/2019 Aykut zdemi r b.a Tasarim
100/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
Y-Y D'@%@
7/24/2019 Aykut zdemi r b.a Tasarim
101/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
Kat %i -i %i-i(/t)0
(%i-i)23=%i-i(/t)0
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412 48177,41
0,008302647
400,00 400,00
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4
9,0
0
36133,060,008302
647
300,00 700,00
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24088,700,008302
647200,00 900,00
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43,00
12044,350,008302
647100,00 1000,00
$ 120443,52
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7/24/2019 Aykut zdemi r b.a Tasarim
102/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
t 0 51.ka
t4014,784
6,00
24088,70 0,00785994 189,34881,2
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4014,7843,00
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6
I 120443,52
;8; 5o!"lt"#" iin !ekan#nn e#a
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O23 /3 $5i i d3
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80,0113918
7 4,31 0,05
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401,48284,0
0691,9
5183580,7
60,0037692
10,0091696
92,60 0,03
1.kat
401,48189,3
4881,2
9300661,0
30,0029311
70,0054004
81,02 0,01
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401,48 94,67975,9
6395235,7
00,0024693
10,0024693
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8,17 0,10
:
= 81,73 T1 ( 1. #o&a% tit'eim pe'iBo#C ;n=, T2+EE 9,04 0,70
102
7/24/2019 Aykut zdemi r b.a Tasarim
103/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
10,
7/24/2019 Aykut zdemi r b.a Tasarim
104/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
;8; ; 5?P@? K@C 5?P@?D?NEF?@
NDKEA K1:(#ol)
NDKEAK1:(#a
)K1:(#ol0#a)
A 14,37 ? 22,23 31,55B 33,90 2 77,53 54,62 53,37 G 101,26 71,345 58,46 - 105,38 74,25
;8; 5DI@JFEJSJ 8 AKS> K@C 5?P@? D?NE 5LH?FE?F?@Kat Ki!iT No #ol #a F a#1:&0: a#1140: U#ol U#a
,K127 14,37 22,23 4,440 0,125 0,2 13,33 20,58
K128 31,55 31,55 5,350 0,2 29,19 29,19
K129 22,23 14,37 4,440 0,125 0,2 20,58 13,33
:K127 33,90 77,53 4,440 0,125 0,2 30,77 72,51K128 54,62 54,62 5,350 0,2 50,54 50,54
K129 77,53 33,90 4,440 0,125 0,2 72,51 30,77
1K127 53,37 101,26 4,440 0,15 0,25 48,14 92,55
K128 71,34 71,34 5,350 0,25 64,68 64,68
K129 101,26 53,37 4,440 0,15 0,25 92,55 48,14
H?NK127 58,46 105,38 4,440 0,15 0,25 52,93 96,16
K128 74,25 74,25 5,350 0,25 67,31 67,31
K129 105,38 58,46 4,440 0,15 0,25 96,16 52,93
;8; 5DI@JFEJSJ 8 AKS> K@C 5?P@? K?S? KJ//?EF?@
KAE NDK@C ND
K1:6 K1: K1:SDF SAI SDF SAI SDF SAI
, 8,24 ?8,24 11,79 ?11,79 8,24 ?8,24: 25,10 ?25,10 20,42 ?20,42 25,10 ?25,101 34,82 ?34,82 26,67 ?26,67 34,82 ?34,82
H?N 36,90 ?36,90 27,76 ?27,76 36,90 ?36,90
;8; ;
7/24/2019 Aykut zdemi r b.a Tasarim
105/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1*1 $K+, --M MM-N $4$M,
91 92 9,
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10
7/24/2019 Aykut zdemi r b.a Tasarim
106/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
91 92 9,
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7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
7*7 $K+, --M K-+M- K5VV- $4$M,
9, 9A
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7/24/2019 Aykut zdemi r b.a Tasarim
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Betonarme Yap Tasarm08042121 Aykut ZDEMR
!R BENARME HESAPLARI- A!SI
A+&%+& D'($+%$+(+(H.
7/24/2019 Aykut zdemi r b.a Tasarim
109/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
`
2
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420@00,
20 430
maJ 0@02
maJ 0@8
300 1, 3000@8 k 0@8 0@013300 ,3 300 ,3
maJ 0@8 0@013 0@01,3
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se&ilen
b
b
s
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==
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a 8@ mm
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maJ 2@ @@ @
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7/24/2019 Aykut zdemi r b.a Tasarim
117/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
2
@ @ ?4,0s. s .st me#cut Ek donatya ihtiya& yokturmm < =
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2
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!129U!12 M.
7/24/2019 Aykut zdemi r b.a Tasarim
118/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
m&n
1@040@8 0@8 0@0028
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yd
f
f = = =
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m&n maJ < N 9?D?#?H?
0@8G1,G81@3Ga 124@1G10,
a 12@8 mm3
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= =
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!129 S$ M.
7/24/2019 Aykut zdemi r b.a Tasarim
121/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
a 3@81 mm
ekme Donatsnn A'r%k Merke&ne 6re Moment Den7e Denk%em& +
( ) ( )@ @1 @ @3
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7/24/2019 Aykut zdemi r b.a Tasarim
122/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
0@0013 0@013b = < =N
s ydf = >ekme 5onats akm/tr?
Basn> Donats Akma #o/u%u+
21 1, 40 3000@8 0@00,,3 430 300 ,3b
= =
1 0@0013 0@00,b = < = asn> 5onats akmam/tr?
!=D=D
@ @ @ @0@8
400@8 1, 20 ,40 300 (1 0@8 * 1100 ,3
cd " s alt se&ilen s s .st se&ilen sf b a
aa
+ =
+ =
a 3@81 mm
ekme Donatsnn A'r%k Merke&ne 6re Moment Den7e Denk%em& +
( ) ( )@ @1 @ @3
@ @1
0@8 0@
((0@8 1, 20 3@81 (430 0@ 3@81** (3 ,,4@41 (430 40** 10 138@81
r . cd " s alt se&ilen s
r .
M f b a d a d d
M kNm
= +
= + =
@ @1 @ @11?4 1@ 4 138@81 2,3@,4' . r .M M kNm= = =
P'K, M'.( $+$ !$/$
7/24/2019 Aykut zdemi r b.a Tasarim
123/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
!ESME DNAISI # ERYE ) HESABI
M. =
=
=
Asa% asn> 7er&%me%er& ne5en&y%e 76;5e etonunun e&%memes& &>&n kesme ku;;et& $st snr+
,
@maJ
@maJ
22
0@22 0@22 1, 20 430 10 ,28@
?
124@ 32@1 32@3
2 8 32@3
100@, 100@, 23@8 24 ,3 430
r cd "
d r
" d c
"s" s"
y"d
4 f b d kN
4 4 oldu(undan kesit Yeterlidir
4 4 4 kN
4 s s
mm s mm cmf d
= = =
= = =
= = = = = =
1
012 10 s 8 3
4 4
hs mm s mm mm = = =
9e>&%en Donat8=
12,
7/24/2019 Aykut zdemi r b.a Tasarim
124/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
!129 S$ M.
7/24/2019 Aykut zdemi r b.a Tasarim
125/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
!12 S'% M.
7/24/2019 Aykut zdemi r b.a Tasarim
126/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
A+&%+& !.
7/24/2019 Aykut zdemi r b.a Tasarim
127/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
222 8 41@3100@, 100 40@4 41
4 ,3 430
= 2 20 2 8 = 2
"s" s"
y"d
cm
4 s s mm s mm cm
f d
s h mm cm )e&ilen
= = = = = =
= =
!12
[ ]
( 0*
( 2 *
( 2 *maJ
1@4 1@3 @( 2 *
4@18 @14 132@31
12@ 1@2 12@03 1@2132@31 8@44 1@2 14,@
2 2
\
14,@ 12
e x dy
e x h
d e x h
d
g q x h
4 4 4 kN
4 kN
4 4 4
4 kN * &klk hesa' kesme ku##eti
=
=
=+ =
= + = + =
= = =
=
,
,
@maJ
@maJ
0@3 0@3 1@04 20 430 10 @4
0@22 0@22 1, 20 430 10 ,28@
o%5u'un5an kayma 5onats )esap%a u%una-aktur?
0@8 0@8 @4 32@114,@
cr ctd "
r cd "
cr d r
c cr
" d c
4 f b d kN
4 f b d kN
4 4 4
4 4 kN 4 4 4
= = =
= = =
< JENL"
Y U Y YN> #- ) A!SI S3 !LN
D./.( S'%$( S$$ E&.
7/24/2019 Aykut zdemi r b.a Tasarim
144/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1
1 1 2
2
,0
2m&n( @ *
2m&n(20@20* 40
"
" 0
b
b
b b b b b
==
< =
= =
0@4e 0 cd4 b h f
,0@4 400 400 1, 10e4
1@,2 ,3kN kN
D./.( S$$( S'%$ E&.
7/24/2019 Aykut zdemi r b.a Tasarim
145/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1@4 1@3 31@4g qN kN+ =
0@,x ya a m= =
20@, 2 10 =g B
h kN m = = =
2
@ 24, 12@ 2,4@2 =net / emn g kN m = = =
432@31@8 1@4
2,4@2 x y
net
ix y9
N b b b b m
= = = = =
!'('%%.
2 2
1@ 4 0@
2@1 1
x y
9
b b m m
m m
= = >
= >
+$%$$ $*&& ?. ..% Y8&
7/24/2019 Aykut zdemi r b.a Tasarim
146/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
0@,
0@4x
y
a m
a m
==
20@ 4 2 10 =g Bh kN m = = =
2
@ 24, 10 2,0 =net / emn g kN m = = =
3832@4
2,,
1@
2@0
net
x
y
ix y9
N b b
b m
b m
= = =
==
!'('%%.
2 2
1@ @ 2 0@
, 1
x y
9
b m b m m
m m
= = >
= >
+$%$$ $*&& ?. ..% Y8&
7/24/2019 Aykut zdemi r b.a Tasarim
147/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
0@,
0@4x
y
a m
a cm
==
20@ 4 2 11@ 2 =g Bh kN m = = =
2
@ 24, 11@2 2,1@ =net / emn g kN m = = =
4,@38,@2
2,1@
1@3
2@1
net
x
y
ix y9
N b b
b m
b m
= = =
==
!'('%%.
2 2
1@ 3 @ 2@1 0@
,@,3 1
x y
9
b m b m m
m m
= = >
= >
+$%$$ $*&& ?. ..% Y8&
7/24/2019 Aykut zdemi r b.a Tasarim
148/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1@4 1@3 1,,@,g qN kN+ =
0@4
0@4x
y
a m
a m
==
20@ 2 12@ =g Bh kN m = = =
2
@ 24, 12@ 2,0@ =net / emn g kN m = = =
118@3@13
2,0@
2@,
net
x y
ix y9
N b b
b b m
= = =
= =
!'('%%.
2 2
2@, 0@
@2 1
x y
9
b b m m
m m
= = >
= >
+$%$$ $*&& ?. ..% Y8&
7/24/2019 Aykut zdemi r b.a Tasarim
149/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
122@3i g qN N kN+= =
1@4 1@3 18@,38g qN kN+ =
0@
0@x
y
a m
a m
==
20@ 2 12@ =g Bh kN m = = =
2
@ 24, 12@ 2,0@ =net / emn g kN m = = =
122@3@2
2,0@
2@4
net
x y
ix y9
N b b
b b m
= = =
= =
!'('%%.
2 2
2@4 0@
@3 1
x y
9
b b m m
m m
= = >
= >
+$%$$ $*&& ?. ..% Y8& JE HESABI :
14
7/24/2019 Aykut zdemi r b.a Tasarim
150/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
1 U 1 A&
7/24/2019 Aykut zdemi r b.a Tasarim
151/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
+$%$$ $*&& ?...% Y8&
7/24/2019 Aykut zdemi r b.a Tasarim
152/160
7/24/2019 Aykut zdemi r b.a Tasarim
153/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
( H.E*Y2@1k( M.E*Y,8@2 km( .E*Y33@,8 k
?)?J?y 2 G 0@ G 1@8G1@4 ,2@,8 k0 ,8@ 2 0@ 2@1 0@88altM M + h kNm= + = + =
0 0@88 0@08 0@2, TRAKEZ ERcME DAd
7/24/2019 Aykut zdemi r b.a Tasarim
154/160
7/24/2019 Aykut zdemi r b.a Tasarim
155/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
( ) ( )
( ) 21 1 21@4 0@,
,48@0 ,48@0 ,11@, ,,,@33 =2 2 1@ 4
y yk k
y
b akN m
b x
= = =
( ) ( ) ( ) ( )
2 2
@ 1 1@4 0@,2 1@8 2 ,48@0 ,,,@33 3@024 24y y
II II x kb aM b kNm = + = + =
( ) ( )
( )1@,48@0 ,,,@33
1@8 1@ 4 2@ 2 0@, ,43@844 4
kII II x y y4 b b a kN
++= = =
%.. W D./. Y8&%.(. G. #G W X W E)
I U I !.
7/24/2019 Aykut zdemi r b.a Tasarim
156/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
0@83 1@40@0, 0@2, Trape er&%me Da'%/
33@18 3 3
yoo
bMe
N= = = < = =
2 2
1@2 1 2
33@18 3 0@0,1 ,2@8 = 184@ =
1@8 1@4 1@4kN m kN m
= = =
( ) ( )
( ) 21 1 21@4 0@,
,2@8 ,2@8 184@ 283@82 =2 2 1@4
y yk k
y
b akN m
b
= = =
( )( )
( )( )
2 2
@ 1
1@4 0@,2 1@8 2 ,2@8 283@82 2@8
24 24y y
II II x k
b aM b kNm
= + = + =
( ) ( )
( )1@,2@8 283@82
1@8 1@ 4 0@, ,2@44 4
kII II x y y4 b b a kN
++= = =
S'(@ !.
7/24/2019 Aykut zdemi r b.a Tasarim
157/160
7/24/2019 Aykut zdemi r b.a Tasarim
158/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
3 EMEL DNAILARININ EMA! GSERLMES
BA" !R BYLANDIRILMASI
,2maJ
2
0@08 0@ 08 8,@ 3 10m&n 18
,3
+ 4 13(804 *
yd
NB grubu /e mm
f
se&ilen mm
= =
18
7/24/2019 Aykut zdemi r b.a Tasarim
159/160
Betonarme Yap Tasarm08042121 Aykut ZDEMR
4414@0
,04,2
14@40,0
,38 12@2 ,0 ,0 ?,0403@
1,@,0
413@
,0
cm
cm
cm kesit alan se&ilir
cm
cm
= = = = =
!'@%$;$& ..(( *.&%5&
maJ 20) cm=
30 cm
30 cm
41(
1
7/24/2019 Aykut zdemi r b.a Tasarim
160/160
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