DEME KALINLII HESABI
hf
+ 412015
ssn
m
l
lsn = demenin ksa kenarnn temiz akl
s = demenin uyduu tip
s = srekli kenar uzunluu / kenar uzunluu
m = s
l
ll
< 2 ift ynde alma art
D101 DEMES
Tip No 2 : Bir Kenar Sreksiz
m = 035,1462478
= < 2 deme ift dorultuda alyor
s = ( ) 746,047846224784622
=
+
+
lsn = 462 - 25 = 437 cm
hf
+ 4746,01
035,12015
437 hf 9.535 cm
1
D102 DEMES
Tip No 2 :Bir Kenar Sreksiz
m = 195,1400478
= < 2 deme ift dorultuda alyor
s = ( ) 772,040047824004782
=
+
+
lsn = 400-25 = 375 cm
hf
+ 4772,01
195,12015
375 hf 9,535 cm
D103 DEMES
Tip No 2 : Bir Kenar Sreksiz
m = 079,1428462
= < 2 deme ift dorultuda alyor
s = ( ) 80,042846224284622
=
+
+
lsn = 428-25 = 403 cm
hf
+ 480,01
079,12015
403 hf 9,61 cm
D105 DEMES
Tip No 2 : Bir Kenar Sreksiz
2
m = 07,1400428
= < 2 deme ift dorultuda alyor
s = ( ) 742,042840024284002
=
+
+
lsn = 400-25 = 375 cm
hf
+ 4742,01
07,12015
375 hf 9,07 cm
D106 DEMES
Tip No 1 : Drt kenar srekli
m = 079,1428462
= < 2 deme ift dorultuda alyor
s = ( ) 14284622)428462(2
=
+
+
lsn = 428-25 = 403 cm
hf
+ 411
079,12015
403 hf 9,01 cm
D102A DEMES
Tip No 4 : ki Ksa Kenar Sreksiz
3
m = 079,1400478
= < 2 deme ift dorultuda alyor
s = ( ) 544,047840024782
=
+
lsn = 400-25 = 375 cm
hf
+ 4479,01
088,12015
397 hf 10,47 cm
D104 DEMES
hf 12160
12=
snl hf 13,33 cm
D107 D108 DEMES
hf 125,147
12=
snl hf 12,29 cm
balkon ve sahanlkta hf = 13 cm seildi.odalarda hf = 13 cm
DEME YKLERNN (Pd) HESABI
ODALARDA
Betonarme plak arl = 25,32513,0 == bfh kN/m2
Sva ve kaplama arl =..............................= 1,5 kN/m2
4
g =4,75 kN/m2 q = 2 kN/m2
Pd = 1,4.g + 1,6.q = 26,175,44,1 + Pd = 9,85 kN/m2
BALKON VE SAHANLIKTA
Betonarme plak arl = 25,32513,0 == bfh kN/m2
Sva ve kaplama arl =..............................= 1,5 kN/m2
g =4,75 kN/m2 q = 3,5 kN/m2
Pd = 1,4.g + 1,6.q = 5,36,175,44,1 + Pd = 12,25 kN/m2
DEMELERDE MOMENT HESABI
aklkta Mx = x.Pd.lsn2 My = y.Pd.lsn2 mesnetlerde X = - x.Pd.lsn2 Y = - y.Pd.lsn2
lsn = ksa temiz aklk
5
D101 DEMES
m = 1,035 tablodan seilir
Mx = 0,0324 . 9,85 . ( 4,37 ) 2 = 6,09 kNm/m
X = - 0,0438 . 9,85 . ( 4,37 ) 2 = - 8,24 kNm/m
My = 0,031 . 9,85 . ( 4,37 ) 2 = 5,83 kNm/m
Y = - 0,042 . 9,85 . ( 4,37 ) 2 = - 7,90 kNm/m
D102 DEMES
m = 1,195 tablodan seilir
Mx = 0,0398 . 9,85 . ( 3,75 ) 2 = 5,51 kNm/m
X = - 0,0527 . 9,85 . ( 3,75 ) 2 = - 7,30 kNm/m
My = 0,031 . 9,85 . ( 3,75 ) 2 = 5,166 kNm/m
Y = - 0,042 . 9,85 . ( 3,75 ) 2 = - 5,82 kNm/m
D103 DEMES
m = 1,079 tablodan seilir
Mx = 0,031 . 9,85 . ( 4,03 ) 2 = 4,96 kNm/m
X = - 0,042 . 9,85 . ( 4,03 ) 2 = - 6,72 kNm/m
My = 0,0342 . 9,85 . ( 4,03 ) 2 = 5,41 kNm/m
Y = - 0,046 . 9,85 . ( 4,03 ) 2 = - 7,36 kNm/m
D105 DEMES
m = 1,07 tablodan seilir
Mx = 0,0338 . 9,85 . ( 3,75 ) 2 = 4,68 kNm/m
X = - 0,0455 . 9,85 . ( 3,75 ) 2 = - 6,30 kNm/m
My = 0,031 . 9,85 . ( 3,75 ) 2 = 4,29 kNm/m
Y = - 0,042 . 9,85 . ( 3,75 ) 2 = - 5,82 kNm/m
D106 DEMES
m = 1,08 tablodan seilir
Mx = 0,025 . 9,85 . ( 4,03 ) 2 = 4,00 kNm/m
6
X = - 0,033 . 9,85 . ( 4,03 ) 2 = - 5,28 kNm/m
My = 0,029 . 9,85 . ( 4,03 ) 2 = 4,64 kNm/m
Y = - 0,0386 . 9,85 . ( 4,03 ) 2 = - 6,17 kNm/m
D102A DEMES
m = 1,195 tablodan seilir
Mx = 0,049 . 9,85 . ( 3,75 ) 2 = 6,79 kNm/m
X = - 0,065 . 9,85 . ( 3,75 ) 2 = - 9,00 kNm/m
My = 0,044 . 9,85 . ( 3,75 ) 2 = 6,09 kNm/m
Y = 0
D104 DEMES
Y = ==2
)6,1.(25,122. 22snd lP - 15,68 kNm/m
D107 D108 DEMES
Y = ==2
)475,1.(25,122. 22snd lP - 13,33 kNm/m
7
AIKLIK DONATISI HESABI
D101 DEMES
Mx = 6,09 kNm/m > My = 5,83 kNm/m
x-x yn
d1 = hf d = 13 2 =11 cm
k m = 26
2 110.100010.09,6
.=
dbM
w
d = 0,50 kz = 0,976
A s= 191.110.976,010.09,6
..
6
=
ydz
d
fdkM
= 297 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .110 = 165 mm2 / m
A s = 297 mm 2 / m 8 / 16,50 seildi. s 1,5.hf = 19,5 cm ve s 20 cm
8 / 33 dz + 8 / 33 pilye
y-y yn
k m = 26
2 102.100010.83,5
.=
dbM
w
d = 0,56 kz = 0,975
A s= 191.102.975,010.09,6
..
6
=
ydz
d
fdkM
= 285 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .102 = 153 mm2 / m
A s = 285 mm 2 / m 8 / 17,50 seildi. s 1,5.hf = 19,5 cm ve s 25 cm
8 / 35 dz + 8 / 35 pilye
r t = ( 305 + 287 ) / ( 1000 . 110 ) = 0,0054 0,004
D102 DEMES
Mx = 5,51 kNm/m > My = 4,29 kNm/m
x-x yn
d1 = hf d = 13 2 =11 cm
k m = 26
2 110.100010.51,5
.=
dbM
w
d = 0,46 kz = 0,979
A s= 191.110.979,010.51,5
..
6
=
ydz
d
fdkM
= 268 mm 2 / m
8
A s,min = 0,0015 . b . d = 0,0015 . 1000 .110 = 165 mm2 / m
A s = 268 mm 2 / m 8 / 18,50 seildi. s 1,5.hf = 19,5 cm ve s 20 cm
8 / 37 dz + 8 / 37 pilye
y-y yn
k m = 26
2 102.100010.29,4
.=
dbM
w
d = 0,41 kz = 0,981
A s= 191.102.981,010.29,4
..
6
=
ydz
d
fdkM
= 225 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .102 = 153 mm2 / m
A s = 225 mm 2 / m 8 / 19,50 seildi. s 1,5.hf = 19,5 cm ve s 25 cm
8 / 39 dz + 8 / 39 pilye
r t = ( 272 + 258 ) / ( 1000 . 110 ) = 0,0048 0,004
D103 DEMES
My = 5,41 kNm/m > Mx = 4,96 kNm/m
y-y yn
d1 = hf d = 13 2 =11 cm
k m = 26
2 110.100010.41,5
.=
dbM
w
d = 0,45 kz = 0,979
A s= 191.110.979,010.41,5
..
6
=
ydz
d
fdkM
= 263 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .110 = 165 mm2 / m
A s = 263 mm 2 / m 8 / 19 seildi. s 1,5.hf = 19,5 cm ve s 20 cm
8 / 38 dz + 8 / 38 pilye
9
x-x yn
k m = 26
2 102.100010.96,4
.=
dbM
w
d = 0,52 kz = 0,976
A s= 191.102.976,010.96,4
..
6
=
ydz
d
fdkM
= 285 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .102 = 153 mm2 / m
A s = 285 mm 2 / m 8 / 17,50 seildi. s 1,5.hf = 19,5 cm ve s 25 cm
8 / 35 dz + 8 / 35 pilye
r t = ( 287 + 265 ) / ( 1000 . 110 ) = 0,005 0,004
D105 DEMES
Mx = 4,68 kNm/m > My = 4,29 kNm/m
x-x yn
d1 = hf d = 13 2 =11 cm
k m = 26
2 110.100010.68,4
.=
dbM
w
d = 0,39 kz = 0,982
A s= 191.110.982,010.68,4
..
6
=
ydz
d
fdkM
= 227 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .110 = 165 mm2 / m
A s = 227 mm 2 / m 8 / 19,50 seildi. s 1,5.hf = 19,5 cm ve s 20 cm
8 / 39 dz + 8 / 39 pilye
y-y yn
k m = 26
2 102.100010.29,4
.=
dbM
w
d = 0,41 kz = 0,981
A s= 191.102.981,010.29,4
..
6
=
ydz
d
fdkM
= 225 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .102 = 153 mm2 / m
A s = 225 mm 2 / m 8 / 19,50 seildi. s 1,5.hf = 19,5 cm ve s 25 cm
10
8 / 39 dz + 8 / 39 pilye
r t = ( 258 + 258 ) / ( 1000 . 110 ) = 0,0047 0,004
D106 DEMES
My = 4,64 kNm/m > Mx = 4,00 kNm/m
y-y yn
d1 = hf d = 13 2 =11 cm
k m = 26
2 110.100010.64,4
.=
dbM
w
d = 0,38 kz = 0,982
A s= 191.110.982,010.64,4
..
6
=
ydz
d
fdkM
= 225 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .110 = 165 mm2 / m
A s = 225 mm 2 / m 8 / 19,5 seildi. s 1,5.hf = 19,5 cm ve s 20 cm
8 / 39 dz + 8 / 39 pilye
x-x yn
k m = 26
2 102.100010.00,4
.=
dbM
w
d = 0,38 kz = 0,982
A s= 191.102.982,010.00,4
..
6
=
ydz
d
fdkM
= 209 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .102 = 153 mm2 / m
A s = 209 mm 2 / m 8 / 19,50 seildi. s 1,5.hf = 19,5 cm ve s 25 cm
8 / 39 dz + 8 / 39 pilye
r t = ( 258 + 258 ) / ( 1000 . 110 ) = 0,0047 0,004
11
D102A DEMES
Mx = 6,79 kNm/m > My = 5,41 kNm/m
x-x yn
d1 = hf d = 13 2 =11 cm
k m = 26
2 110.100010.79,6
.=
dbM
w
d = 0,56 kz = 0,975
A s= 191.110.975,010.79,6
..
6
=
ydz
d
fdkM
= 332 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .110 = 165 mm2 / m
A s = 332 mm 2 / m 8 / 15 seildi. s 1,5.hf = 19,5 cm ve s 20 cm
8 / 30 dz + 8 / 30 pilye
y-y yn
k m = 26
2 102.100010.09,6
.=
dbM
w
d = 0,59 kz = 0,973
A s= 191.102.973,010.09,6
..
6
=
ydz
d
fdkM
= 321 mm 2 / m
A s,min = 0,0015 . b . d = 0,0015 . 1000 .102 = 153 mm2 / m
A s = 321 mm 2 / m 8 / 15,50 seildi. s 1,5.hf = 19,5 cm ve s 25 cm
8 / 31 dz + 8 / 31 pilye
r t = ( 324 + 335 ) / ( 1000 . 110 ) = 0,006 0,004
12
DEME MESNET DONATILARI HESABI
D101 - D102
24,830,7
=
b
k
XX
= 0,89 > 0,8 Md = Xb = 8,24 kNm / m
k m = 26
2 110.100010.24,8
.=
dbM
w
d = 0,68 kz = 0,969
As,gerekli = 191.110.969,010.24,8
..
6
=
ydz
d
fdkM
= 405 mm 2 / m
As,mevcut = 8 / 33 + 8 / 37 = 288 mm2 / m As,ek = 405 288 = 117 mm2 / m 8 / 33
D101 D106
9,717,6
=
b
k
XX
= 0,78 < 0,8 moment dengelemesi yaplacak !
r21 r23
r21 =
28,4..4
78,4..4
78,4..4
IEIE
IE
+ = 0,47 r23 =
28,4..4
78,4..4
28,4..4
IEIE
IE
+ = 0,53
B1 = ( ) ( ) 47,0.17,690,7.3290,7..
32
1
=
rXXX kbb = 7,36 Md = 7,36 kNm /
m
B2 = ( ) ( ) 53,0.17,690,7.3217,6..
32
2
+=
+ rXXX kbk = 6,78
k m = 26
2 110.100010.36,7
.=
dbM
w
d = 0,61 kz = 0,972
As,gerekli = 191.110.972,010.36,7
..
6
=
ydz
d
fdkM
= 360 mm 2 / m
As,mevcut = 8 / 35 + 8 / 39 = 273 mm2 / m As,ek = 360 273 = 87 mm2 / m 8 / 33
13
D102A D102
00,930,7
=
b
k
XX
= 0,81 > 0,8 Md = Xb = 9,00 kNm / m
k m = 26
2 110.100010.00,9
.=
dbM
w
d = 0,74 kz = 0,967
As,gerekli = 191.110.967,010.00,9
..
6
=
ydz
d
fdkM
= 443 mm 2 / m
As,mevcut = 8 / 30 + 8 / 37 = 304 mm2 / m As,ek = 443 304 = 139 mm2 / m 8 / 33
D101 D103
90,736,7
=
b
k
XX
= 0,93 > 0,8 Md = Xb = 7,90 kNm / m
k m = 26
2 110.100010.90,7
.=
dbM
w
d = 0,65 kz = 0,971
As,gerekli = 191.110.971,010.90,7
..
6
=
ydz
d
fdkM
= 387 mm 2 / m
As,mevcut = 8 / 35 + 8 / 38 = 276 mm2 / m As,ek = 387 276 = 111 mm2 / m 8 / 33
D102 D105 ( simetrik )
82,582,5
=
b
k
XX
= 1 > 0,8 Md = Xb = 5,82 kNm / m
k m = 26
2 110.100010.82,5
.=
dbM
w
d = 0,48 kz = 0,978
As,gerekli = 191.110.978,010.82,5
..
6
=
ydz
d
fdkM
= 283 mm 2 / m
As,mevcut = 8 / 39 + 8 / 39 = 258 mm2 / m As,ek = 283 258 = 25 mm2 / m 8 / 33
14
D105 D106
30,628,5
=
b
k
XX
= 0.84 > 0,8 Md = Xb = 6,30 kNm / m
k m = 26
2 110.100010.30,6
.=
dbM
w
d = 0,52 kz = 0,976
As,gerekli = 191.110.976,010.30,6
..
6
=
ydz
d
fdkM
= 307 mm 2 / m
As,mevcut = 8 / 39 + 8 / 39 = 258 mm2 / m As,ek = 307 258 = 49 mm2 / m 8 / 33
D101 D102A
00,924,8
=
b
k
XX
= 0.92 > 0,8 Md = Xb = 9,00 kNm / m
k m = 26
2 110.100010.00,9
.=
dbM
w
d = 0,74 kz = 0,967
As,gerekli = 191.110.967,010.00,9
..
6
=
ydz
d
fdkM
= 443 mm 2 / m
As,mevcut = 8 / 33 + 8 / 30 = 320 mm2 / m As,ek = 443 320 = 123 mm2 / m 8 / 33
D102 D102
30,730,7
=
b
k
XX
= 1 > 0,8 Md = Xb = 7,30 kNm / m
k m = 26
2 110.100010.30,7
.=
dbM
w
d = 0,60 kz = 0,973
As,gerekli = 191.110.973,010.30,7
..
6
=
ydz
d
fdkM
= 357 mm 2 / m
As,mevcut = 8 / 37 + 8 / 37 = 272 mm2 / m As,ek = 357 272 = 85 mm2 / m 8 / 33
15
D101 D107
Md = 13,13 kNm / m
k m = 26
2 110.100010.33,13
.=
dbM
w
d = 1,10 kz = 0,949
As,gerekli = 191.110.949,010.33,13
..
6
=
ydz
d
fdkM
= 667 mm 2 / m
As,mevcut = 8 / 35 = 144 mm2 / m As,ek = 667 144 = 523 mm2 / m 8 / 9,5
D102 D104
Md = 15,68 kNm / m
k m = 26
2 110.100010.68,15
.=
dbM
w
d = 1,30 kz = 0,938
As,gerekli = 191.110.938,010.68,15
..
6
=
ydz
d
fdkM
= 796 mm 2 / m
As,mevcut = 8 / 39 = 129 mm2 / m As,ek = 796 129 = 667 mm2 / m 8 / 7,5
D103 D108
Md = 13,13 kNm / m
k m = 26
2 110.100010.33,13
.=
dbM
w
d = 1,10 kz = 0,949
As,gerekli = 191.110.949,010.33,13
..
6
=
ydz
d
fdkM
= 667 mm 2 / m
As,mevcut = 8 / 35 = 144 mm2 / m As,ek = 667 144 = 523 mm2 / m 8 / 9,5
D106 D108
Md = 13,13 kNm / m
k m = 26
2 110.100010.33,13
.=
dbM
w
d = 1,10 kz = 0,949
As,gerekli = 191.110.949,010.33,13
..
6
=
ydz
d
fdkM
= 667 mm 2 / m
As,mevcut = 8 / 39 = 129 mm2 / m As,ek = 667 129 = 538 mm2 / m 8 / 9
Balkoan ve sahanlkta datma donats :
D107 , D108 , D104 demelerinde 8 / 25 datma donats kullanlmtr .
16
KR N BOYUT HESABIb w = 250 mm ve h kiri = 600 mm olarak alnd .
KOLON N BOYUT HESABI
S1 Kolonuna Gelen Yk
c/2
D107/14 a = 4,78 m
S1 K101 c = 4,62 m
a/2 D101K
113
SABT YKLER
* Deme Yk = D101 + D107 75,4.60,1.262,475,4.
262,4.
278,4
+= = 43,78
kN
* Kiri Yk = K101 + K113 25.278,4.6,0.25,025.
262,4).13,06,0.(25,0 += = 15,75
kN
* Duvar Yk = D Duvarlar 2,4.1.262,4
278,4
+= = 19,74 kN
* Kolon Kendi Arl = 0,4 . 0,4 . 2,94 . 25 = 11,76 kN G = 91,03 kN
HAREKETL YKLER
* Deme Yk = D101 + D107 5,3.6,1.262,42.
262,4.
278,4
+= = 23,98 kN =Q
Pd = 1,4.G + 1,6.Q = 1,4 . ( 91,03 ) + 1,6 . ( 23.98 ) Pd = 165,81 kN
P = G + Q = 91,03 + 23,98 P = 115,01 kN
17
S2 Kolonuna Gelen Yk c/2
D107/14 d/2
K101 K102 a = 4,78 m S2
D101 D102 c = 4,62 m
a/2 d = 4,00 mK
115
SABT YKLER
* Deme Yk = (D101 + D107 ) + D102
++=
262,4.6,12.
278,4
262,4.
278,4.75,4 = 66,49
kN * Kiri Yk = K101 + K115 + K102 =
++
24.6,0
278,4).13,06,0(
262,4).13,06,0(.25.25,0 = 21,31 kN
* Duvar Yk = D + ( ) 25.60,094,2.278,472,4.1.
200,4
262,4
+
+= = 34,32
kN* Kolon Kendi Arl = 0,3 . 0,6 . 2,94 . 25 = 13,23 kN G = 135,35 kN
HAREKETL YKLER
* Deme Yk = (D101 + D107) + D102 262,4.6,1.5,360,20 += = 33,54 kN =Q
Pd = 1,4.G + 1,6.Q = 1,4 . ( 135,35 ) + 1,6 . ( 33,54 ) Pd = 243,15 kN
P = G + Q = 135,35 + 33,54 P = 168,89 kN
18
S3 Kolonuna Gelen Yk
d/2 d/2
K102 K103 a = 4,22 m S3
D102 D102 d = 4,78 m
a/2 K
117
SABT YKLER
* Deme Yk = D102 + D102
= 75,4.
200,4.
278,4.2 = 45,42
kN
* Kiri Yk= K102 + K103 + K117 25).13,06,0.(278,4.25,025.6,0.2.25,0.2 + = 22,02
kN
* Duvar Yk = D + ( ) 5,2.60,094,2.278,42,4.1.
200,4
200,4
+
+= = 30,78
kN* Kolon Kendi Arl = = 13,23 kN G = 111,450 kN
HAREKETL YKLER
* Deme Yk = D102 + D102
= 2.
200,4.
200,4.2 = 16,00 kN =Q
Pd = 1,4.G + 1,6.Q = 1,4 . ( 111,450 ) + 1,6 . ( 16,00 ) Pd = 181,63 kN
P = G + Q = 111,450 + 16,00 P = 127,45 kN
19
S4 Kolonuna Gelen Yk
c/2
K D101 a = 4,78 m a/2 113 b = 4,28 m
c = 4,62 mS4 K105
D103K
b/2 114
SABT YKLER
* Deme Yk = D101 + D103 + D108 = 26,22 + 23,48 + 16,26 = 65,96 kN * Kiri Yk= K113 + K114 + K105 = 8,96 + 6,29 + 6,79 = 22,04 kN
* Duvar Yk = D + ( ) 5,2.60,094,2.262,42,4.1.
228,5
278,4
+
+= =
34,64kN* Kolon Kendi Arl = = 13,23 kN G = 135,87 kN
HAREKETL YKLER
* Deme Yk = D101 + D103 + D108 = 11,04 + 9,89 + 11,98 = 32,91 kN =Q
Pd = 1,4.G + 1,6.Q = 1,4 . ( 135,87 ) + 1,6 . ( 32,91 ) Pd = 242,87 kN
P = G + Q = 135,87 + 32,91 P = 168,78 kN
20
S5 Kolonuna Gelen Yk
c/2 d/2
D101 D102 K a = 4,78 m 115 a/2 b = 4,28 m
c = 4,62 m
K105 S5 K106 d = 4,00 m
D103 D104
K b/2 116
SABT YKLER
*DemeYk=D101+D102+D103+D104
= 75,4.200,4.
228,4
262,4.
228,4
200,4.
278,4
262,4.
278,4
+++ =
92,74 kN * Kiri Yk= K115 + K116 + K105 + K106
+++
24).13,06,0(
262,4).13,06,0(
228,4.6,0
278,4).13,06,0(.25.25,0 =
27,72 kN
* Duvar Yk = = ( )
++
+228,4
24).6,094,2.(2,55,2.60,094,2
278,4
262,4
= 77,88
kN* Kolon Kendi Arl = 0,5 . 0,5 . 2,94 . 25 = 18,38 kN G = 216,72 kN
HAREKETL YKLER
21
*DemeYk=D101+D102+D103+D104
= 228,4.
24.5,32.
228,4.
262,4
278,4.
200,4
278,4.
262,4
+
++ = 45,47 kN = Q
Pd = 1,4.G + 1,6.Q = 1,4 . ( 216,72 ) + 1,6 . ( 45,47 ) Pd = 376,16 kN
P = G + Q = 216,72 + 45,47 P = 262,19 kNS6 Kolonuna Gelen Yk
d/2 d/2
D102 D102 K a = 4,78 m 117 a/2 b = 4,28 m
d = 4,00 m
K106 S6 K107
D104 D105
K b/2 118
SABT YKLER
*DemeYk=D102+D102+D104+D105
= 75,4.228,4.
200,4
228,4.
200,4
278,4.
200,4.2
++ = 86,07
kN * Kiri Yk= K117 + K118 + K106 + K107
25.24).13,06,0.(25,0.225.
228,4.6,0.25,025.
278,4).13,06,0.(25,0 ++ =
26,81 kN* Duvar Yk = + Merdiven Yakn =
( ) ( ) 2,5.60,094,2.228,4.
200,45,2.60,094,2
278,4
200,4
+
+ = 76,06
kN* Kolon Kendi Arl = 0,5 . 0,5 . 2,94 . 25 = 18,38 kN G = 207,32 kN
22
HAREKETL YKLER
*DemeYk=D102+D102+D104+D105
= 228,4.
24.2
228,4.
24.5,3
278,4.
24
24.2 ++
+ = 42,66 kN = Q
Pd = 1,4.G + 1,6.Q = 1,4 . ( 207,32 ) + 1,6 . ( 42,66 ) Pd = 358,504 kN
P = G + Q = 207,32 + 42,66 P = 249,98 kN
KOLON ENKEST ALANLARI
23
KolonNo
Kat No G Q G + Q
1,4G + 1,6Q N d ( kN )
Ac=Nd/(0.5fck)( mm 2 ) KEST
S 1
4 91,03 23,98 115,01 165,81 16581 30 / 303 182,06 47,96 230,02 331,62 33162 30 / 302 273,09 71,94 345,03 497,43 49743 30 / 301 364,12 95,92 460,04 663,24 66324 30 / 30
Zemin 455,15 119,90 575,05 829,05 82905 30 / 30
S 2
4 135,35 33,54 168,89 243,15 24315 30 / 403 270,70 67,08 304,24 432,64 43264 30 / 402 406,05 100,62 506,67 729,46 72946 30 / 401 541,40 134,16 675,56 972,62 97262 30 / 40
Zemin 676,75 167,70 844,45 1215,77 121577 30 / 45
S 3
4 111,45 16 127,45 181,63 18162 30 / 403 222,90 32 254,90 363,26 36326 30 / 402 334,35 48 382,35 544,89 54489 30 / 401 445,80 64 509,80 726,52 72652 30 / 40
Zemin 557,25 80 637,25 908,15 90815 30 / 40
S 4
4 135,87 32,91 168,78 242,87 24287 40 / 303 271,74 65,82 337,56 485,75 48575 40 / 302 407,61 98,73 506,34 728,62 72862 40 / 301 543,48 131,64 675,12 971,50 97150 40 / 30
Zemin 649,35 164,55 843,90 1214,37 121437 45 / 30
S 5
4 216,72 45,47 262,19 376,16 37616 30 / 303 433,44 90,94 524,38 752,32 75232 30 / 302 650,16 136,41 786,57 1128,48 112848 35 / 351 866,88 181,88 1048,76 1504,64 150464 40 / 40
Zemin 1083,60 227,35 1310,95 1880,80 188080 45 / 45
S 6
4 207,32 42,66 249,98 358,504 35850,40 30 / 303 414,64 85,32 499,96 717,01 71701 30 / 302 621,96 127,98 749,94 1075,51 107551 35 / 351 829,28 170,64 999,92 1434,02 143402 40 / 40
Zemin 1036,60 213,30 1249,90 1792,52 179252 45 / 45
KOLON ATALET MOMENTLER
KOLON KAT hkat b h Ix Iy kx=(Ix/hkat) ky=(Iy/hkat)NO NO (m) (dm) (dm) (dm4) (dm4) (dm4/m) (dm4/m)S 1 4 2,94 3 3 6,75 6,75 2,296 2,296
3 2,94 3 3 6,75 6,75 2,296 2,2962 2,94 3 3 6,75 6,75 2,296 2,2961 2,94 3 3 6,75 6,75 2,296 2,296
Zemin 2,94 3 3 6,75 6,75 2,296 2,296
S 2 4 2,94 3 4 9 16 3,061 5,4423 2,94 3 4 9 16 3,061 5,4422 2,94 3 4 9 16 3,061 5,4421 2,94 3 4 9 16 3,061 5,442
Zemin 2,94 3 4,5 10,125 22,781 3,444 7,749
S 3 4 2,94 3 4 9 16 3,061 5,4423 2,94 3 4 9 16 3,061 5,4422 2,94 3 4 9 16 3,061 5,4421 2,94 3 4 9 16 3,061 5,442
Zemin 2,94 3 4 9 16 3,061 5,442
S 4 4 2,94 4 3 16 9 5,442 3,0613 2,94 4 3 16 9 5,442 3,0612 2,94 4 3 16 9 5,442 3,0611 2,94 4 3 16 9 5,442 3,061
Zemin 2,94 4,5 3 22,781 10,125 7,749 3,444
S 5 4 2,94 3 3 6,75 6,75 2,296 2,2963 2,94 3 3 6,75 6,75 2,296 2,2962 2,94 3,5 3,5 12,505 12,505 4,253 4,2531 2,94 4 4 21,333 21,333 7,256 7,256
Zemin 2,94 4,5 4,5 34,172 34,172 11,623 11,623
S 6 4 2,94 3 3 6,75 6,75 2,296 2,2963 2,94 3 3 6,75 6,75 2,296 2,2962 2,94 3,5 3,5 12,505 12,505 4,253 4,2531 2,94 4 4 21,333 21,333 7,256 7,256
Zemin 2,94 4,5 4,5 34,172 34,172 11,623 11,623
24
Ix = 12. 3bh Iy =
12. 3hb
KR YKLER
1-1 AKSI
** K101 KR **
1) SABT YKLER
* Kiri Arl : ( ) ( ) 25.25,0.13,060,0.. = bwf bhh = 2,938 kN/m * Duvar Arl : 2,4.1. =duvduvh = 4,2 kN/m
* D107 Demesi : 75,4.6,1. 107 =gls = 7,6 kN/m g1 = 14,738 kN/m ( uniform yayl )
* D101 Demesi : 75,4.262,4.
2 101=gls g2 = 10,973 kN/m ( gen
yayl )
2) HAREKETL YKLER
* D107 Demesi : 5,3.6,1. 107 =qls q1 = 5,6 kN/m ( uniform yayl )
* D101 Demesi : 2.262,4.
2 101=qls q2 =4,62 kn/m ( gen yayl )
** K102 KR **
1) SABT YKLER
* Kiri Arl : ( ) ( ) 25.25,0.13,060,0.. = bwf bhh = 2,938 kN / m * Duvar Arl : 2,4.1. =duvduvh = 4,2 kN / m
g1 = 6,575 kN / m ( uniform yayl )
* D102 Demesi : 75,4.200,4.
2 102=gls g2 = 9,50 kN / m ( gen yayl )
2) HAREKETL YKLER
25
* D102 Demesi : 2.200,4.
2 102=qls q2 =4,00 kN / m ( gen yayl )
K103 ve K104 kirilerindeki ykler de K101 ve K102 kirilerinin ki gibidir .C - C AKSI
** K117 KR **
1) SABT YKLER
* Kiri Arl : ( ) ( ) 25.25,0.12,050,0.. = bwf bhh = 2,938 kN / m * Duvar Arl : ( ) ( ) 5,2.60,094,2. = duvkirkat hh = 5,85 kN / m g1 = 8,788 kN / m ( uniform yayl )
* D102 Demesi : 75,4.200,4.2.
2.2 102 =gls g2 = 19 kN / m ( trapez yayl )
2) HAREKETL YKLER
* D102 Demesi : 2.200,4.2.
2.2 102 =qls q1 =8,00 kN / m ( trapez yayl
)
** K118 KR **
1) SABT YKLER
* Kiri Arl : ( ) ( ) 25.25,0.13,060,0.. = bwf bhh = 2,938 kN / m * Duvar Arl : ( ) ( ) 2,5.60,094,2. = duvkirkat hh = 12,168 kN / m g1 = 15,106 kN / m ( uniform yayl )
* D104 Demesi : 75,4.200,4.
2 104=gls g2 = 9,50 kN / m ( trapez yayl )
* D105 Demesi : 75,4.200,4.
2 105=gls g3 = 9,50 kN / m ( trapez yayl )
2) HAREKETL YKLER
* D104 Demesi : 5,3.200,4.
2 104=qls q1 = 7,00 kN / m ( trapez yayl )
26
* D105 Demesi : 2.200,4.
2 105=qls q2 =4,00 kN / m ( trapez yayl )
27
KR KESTLER
Y-Y YN
4,78 m 4,28 m 4,78 m
Lp =0,7 L1 Lp =0,6 L2 Lp =0,7 L1 = 3,346 m = 2,568 m = 3,346 m
**K115-K117-K119 KRLER**
b = bw + 0,2.Lp l = 4,78 m 0,13 0,13 ( D Aklk ) Lp = 3,346 m Lp/10
KR YKLER
KR NO
L(m)
YK NO YK
KR YKLER ANKASTRELK MOMENTLER KESME KUVVETLER YKLEME
M(kNm) Vo(kN)
g q P Pd 0,9g Mg Mq Vog Voqi j i j i j j i j i j
K101 4,62
1 uniform14,73
8 5,6020,33
829,59
3 13,264 26,21 -26,21 9,96 -9,96 34,04 -34,04 12,94 -12,94 G 38,41 -38,41 46,71 -46,71
2 gen 10,973 4,6215,59
322,75
4 9,878 12,20 -12,20 5,14 -5,14 12,67 -12,67 5,34 -5,34 G+Q 53,51 -53,51 64,99 -64,99
TOPLAM 38,41 -38,41 15,10 -15,10 46,71 -46,71 18,28 -18,281,4G+1,6
Q 77,93 -77,93 94,64 -94,64
0,9G 34,57 -34,57 42,04 -42,04
K102 4,00
1 uniform 7,138 0 7,138 9,993 6,424 9,52 -9,52 0 0 14,28 -14,28 0 0 G 17,44 -17,44 23,78 -23,78
2 gen 9,5 4,00 13,50 19,70 8,55 7,92 -7,92 3,33 -3,33 9,50 -9,50 4,00 -4,00 G+Q 20,77 -20,77 27,78 -27,78
TOPLAM 17,44 -17,44 3,33 -3,33 23,78 -23,78 4,00 -4,001,4G+1,6
Q 29,74 -29,74 39,69 -39,69
0,9G 15,70 -15,70 21,40 -21,40
K117 4,78
1 uniform 8,788 0 8,78812,30
3 7,909 16,73 -16,73 0 0 21,00 -21,00 0 0 G 42,89 -42,89 47,41 -47,41
2 trapez 19 8 27 39,40 17,10 26,16 -26,16 11,01 -11,01 26,41 -26,41 11,12 -11,12 G+Q 53,90 -53,90 58,53 -58,531,4G+1,6
Q 77,66 -77,66 84,17 -84,17
TOPLAM 42,89 -42,89 11,01 -11,01 47,41 -47,41 11,12 -11,12 0,9G 38,60 -38,60 42,67 -42,67
K118 4,28
1 uniform15,10
6 015,10
6 21,15 13,595 23,06 -23,06 0 0 32,33 -32,33 0 0 G 42,36 -42,36 53,99 -53,99
2 trapez 19 11 30 44,20 17,10 19,30 -19,30 11,17 -11,17 21,66 -21,66 12,54 -12,54 G+Q 53,53 -53,53 66,53 -66,531,4G+1,6
Q 77,18 -77,18 95,65 -95,65
TOPLAM 42,36 -42,36 11,17 -11,17 53,99 -53,99 12,54 -12,54 0,9G 38,12 -38,12 48,59 -48,59
28
h = 0,60 b = 0,25 + 0,2 . ( 3,346 ) = 0,9192 m A = 2,5 . 6 + 2 . 30346 . 1,3 = 23,6996 dm2 0,25
y0 = 6996,2335,5.3,1.346,3.23.6.5,2 +
= 3,86 dm
I =
+++ 2
32
3
49,1.346,3.3,112
346,3.3,1.286,0.6.5,212
6.5,2 = 76,633 dm4
K = 78,4633,76
=
LI
= 16,032 dm4/m
**K116-K118 KiRiLERi**
b = bw + 0,1.Lp l = 4,28 m 0,13 ( Aklk ) Lp = 2,568 m Lp/10 h = 0,60 b = 0,25 + 0,1 . ( 2,568 ) = 0,5068 m A = 2,5 . 6 + 2,568 . 1,3 = 18,3384 dm2 0,25
y0 = 3384,1835,5.3,1.568,23.6.5,2 +
= 3,4278 dm
I =
+++ 2
32
3
9222,1.568,2.3,112
568,2.3,14278,0.6.5,212
6.5,2 = 60,55 dm4
K = 28,455,60
=
LI
= 14,147 dm4/m
X-X YN
4,62 m 4,00 m 4,00 m 4,62 m
Lp = 0,7.L Lp = 0,6.L Lp = 0,6.L Lp = 0,7.L = 3,234 m = 2,40 m = 2,40 m = 3,234 m
29
**K101-K104 KRLER**
b = bw + 0,2.Lp l = 4,62 m 0,13 0,13 ( D Aklk ) Lp = 3,234 m Lp/10 h = 0,60 b = 0,25 + 0,2 . ( 3,234 ) = 0,8968 m A = 2,5 . 6 + 2 . ( 3,234 . 1,3 ) = 23,4084 dm2 0,25
y0 = 4084,2335,5.3,1.234,3.23.6.5,2 +
= 3,84 dm
I =
+++ 2
32
3
51,1.234,3.3,112
234,3.3,1.284,0.6.5,212
6.5,2 = 75,94 dm4
K = 62,494,75
=
LI
= 16,437 dm4/m
**K102-K103 KRLER**
b = bw + 0,1.Lp l = 4,00 m 0,13 ( Aklk ) Lp = 2,40 m Lp/10 h = 0,60 b = 0,25 + 0,1 . (2,40) = 0,49 m A = 2,5 . 6 + 2,40 . 1,3 = 18,12 dm2 0,25
y0 = 12,1835,5.3,1.4,23.6.5,2 +
= 3,40 dm
I =
+++ 2
32
3
95,1.40,2.3,112
4,2.3,140,0.6.5,212
6.5,2 = 59,70 dm4
K = 00,470,59
=
LI
= 14,925 dm4/m
Btn kirilerin atalet momentleri ve redrleri :
Kiri L I k
30
No ( m )
( dm 4 ) (dm 4 )
K101 4,62 75,94 16,437K102 4,00 59,70 14,925K103 4,00 59,70 14,925K104 4,62 75,94 16,437K105 4,62 75,94 16,437K106 4,00 70,22 17,555K107 4,00 70,22 17,555K108 4,62 75,94 16,437K109 4,62 75,94 16,437K110 4,00 59,70 14,925K111 4,00 70,22 17,555K112 4,62 75,94 16,437K113 4,78 64,23 13,437K114 4,28 71,46 16,696K115 4,78 76,633 16,032K116 4,28 60,55 14,147K117 4,78 76,633 16,032K118 4,28 60,55 14,147K119 4,78 76,633 16,032K120 4,28 71,46 16,696
KRLERE ELVERSZ YKLEMELER
C-C AKSI
5 7 9 11
2,94 m
K117 2 K118 3 K117 4 1
2,94 m
6 8 10 12 S 3 ( 30 / 40 ) S 6 ( 45 / 45 ) S 6 (45 / 45 ) S 3 ( 30 / 40 )
REDR HESABI rij = ij
ij
knkn.
.
* Simetrik Yklemeler in
31
r12 =
8,47633,76.4
4,2916.4
4,2916.4
8,47633,76.4
++= 0,60
r = 0,60 + 2 . ( 0,20 ) = 1
r15 = r16 =
8,47633,76.4
4,2916.4
4,2916.4
4,2900,16.4
++= 0,20
r27 =
8,47633,76.4
4,2917,34.4
8,4255,60.2
4,2933,21.4
4,2933,21.4
+++= 0,17
r = 0,17 + 0,19 + 0,27 + 0,37 = 1
r23 =
8,47633,76.4
4,2917,34.4
8,4255,60.2
4,2933,21.4
80,4255,60.2
+++= 0,19
r28 =
8,47633,76.4
4,2917,34.4
8,4255,60.2
4,2933,21.4
4,2917,34.4
+++= 0,27
r21 =
8,47633,76.4
4,2917,34.4
8,4255,60.2
4,2933,21.4
80,47633,76.4
+++= 0,37
1. GRUP 1. YKLEME ( Pd G Pd )
Mi j Mj iK 117 77,66 -77,66K 118 42,36 -42,36K 117 77,66 -77,66
32
Bu yklemede max MK117 , V12 ve X12 bulunur .
Pd = 39,40 kN / m
Pd = 12,303 kN / m 35,65 kNm 81,46 kNm
74,59 kN 4,78m 93,75 kN V12 V21
V12 = 78,4
278,4.
240,39).78,478,0(
278,4.303,1246,8165,35
2
+
++ = 74,59 kN
V21 = 78,4
278,4.
240,39).78,478,0(
278,4.303,1246,8165,35
2
+
+++ = 93,75 kN
Maximum momentin bulunuu :
)2.(40,3940,39303,1259,74 xx = 0 x = 2,205 m
Mmax = 2205,0.40,39205,0
32.
240,39.2
2205,2.303,12205,2.59,7465,35
22
++
Mmax = 63,74 kNm
D.N 1 2.N 15 16 12 27 28 23 21
r 0,20 0,20 0,60 0,17 0,27 0,19 0,37M0 0 0 77,66 0 0 42,36 -77,361 -15,53 -15,53 -46,60 -23,302 10,84 9,96 15,82 11,13 21,681 -2,17 -2,17 -6,51 -3,262 0,61 0,55 0,88 0,62 1,211 -0,12 -0,12 -0,37 -0,192 0,04 0,03 0,05 0,04 0,071 -0,01 -0,01 -0,02 -0,01
toplam -17,83 -17,83 35,65 10,54 16,75 54,15 -81,46
33
1. GRUP 2. YKLEME ( G Pd G )
Mi j Mj iK 117 42,89 -42,89K 118 77,18 -77,18K 117 42,89 -42,89
D.N 1 2.N 15 16 12 27 28 23 21
r 0,20 0,20 0,60 0,17 0,27 0,19 0,37M0 42,89 77,18 -42,892 -8,58 -8,58 -25,73 -12,871 -3,96 -3,64 -5,78 -4,07 -7,932 0,79 0,79 2,38 1,191 -0,22 -0,20 -0,32 -0,23 -0,442 0,04 0,04 0,13 0,071 -0,02 -0,01 -0,02 -0,01 -0,032 0,005 0,005 0,01 0,005
toplam -7,745 -7,745 15,48 -3,85 -6,12 72,87 -62,895
Bu Yklemede max MK118 Bulunur
Pd = 44,20 kN / m
Pd = 21,15kN / m 72,87 kNm 72,87 kNm
94,765 kN 4,28m 94,765 kN V23 V32
V23 = V32 = 94,765 kN
Ykleme ve Kesit Simetrik x = 2,14 m
M aximum momentin bulunuu :
Mmax = 214,0.14,0.20,4487,72
3214,0.
22.20,44
214,2.45,2114,2.765,94
2
+
Mmax = 44,91 kNm
34
REDR HESABI rij = ij
ij
knkn.
.
* Simetrik Olmayan Yklemeler in1. dm noktas iin simetrik yklemede hesaplanan redrlerle ayndr .
r27 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
4,2933,21.4
+++= 0,14
r23 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
80,4255,60.4
+++= 0,32
r25 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
40,2917,34.4
+++= 0,23 r = 0,14 + 0,32 + 0,23 + 0,31 = 1
r21 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
80,47633,76.4
+++= 0,31
r39 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
4,2933,21.4
+++= 0,14
r32 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
80,4255,60.4
+++= 0,32 r = 0,14 + 0,32 + 0,23 +
0,31 = 1
r310 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
40,2917,34.4
+++= 0,23
r34 =
80,47633,76.4
4,2917,34.4
8,4255,60.4
4,2933,21.4
80,47633,76.4
+++= 0,31
r43 =
8,47633,76.4
4,2916.4
4,2916.4
8,47633,76.4
++= 0,60
r = 0,60 + 2 . ( 0,20 ) = 1
35
r411 = r412 =
8,47633,76.4
4,2916.4
4,2916.4
4,2900,16.4
++= 0,20
1. GRUP 3. YKLEME ( Pd Pd G )
Mi j Mj iK 117 77,16 -77,16K 118 77,18 -77,18K 117 42,89 -42,89
D.N 1 2 3 4.N 15 16 12 21 27 28 23 32 39 310 34 43 412 411
r 0,20 0,20 0,60 0,31 0,14 0,23 0,32 0,32 0,14 0,23 0,31 0,60 0,20 0,20M0 77,66 -77,36 77,18 -77,18 42,89 -42,891 -15,53 -15,53 -46,60 -23,304 12,87 25,73 8,58 8,582 3,69 7,37 3,33 5,47 7,61 3,813 2,82 5,64 2,47 4,05 5,46 2,731 -0,74 -0,74 -2,21 -1,114 -0,82 -1,64 -0,55 -0,552 -0,27 -0,53 -0,24 -0,39 -0,55 -0,283 0,18 0,35 0,15 0,25 0,34 0,171 0,05 0,05 0,17 0,094 -0,06 -0,11 -0,03 -0,032 -0,04 -0,08 -0,04 -0,06 -0,09 -0,053 0,02 0,03 0,02 0,03 0,03 0,021 0,01 0,01 0,02 0,01
Toplam -16,21 -16,21 32,42 -95,21 3,05 5,02 87,17 -67,68 2,64 4,33 60,71 -15,99 8,00 8,00
36
Bu yklemeden max V21 , V23 , X21 ve X23 bulunur
V21 = 78,4
278,4.
240,39).78,478,0(
278,4.303,1221,9542,32
2
+
+++ = 97,31 kN
V23 = 28,4
228,4.
220,44).28,428,0(
228,4.15,2117,8768,67
2
+
+++ = 100,20 kN
X 21 = 95,21 kNm X 23 = 87,17 kNm
2. GRUP 1. YKLEME ( P G P )
D.N 1 2.N 15 16 12 27 28 23 21
r 0,20 0,20 0,60 0,17 0,27 0,19 0,37M0 53,90 42,36 -53,901 -10,78 -10,78 -32,34 -16,172 5,13 4,71 7,48 5,26 10,251 -1,03 -1,03 -3,07 -1,542 0,29 0,26 0,42 0,29 0,571 -0,06 -0,06 -0,17 -0,092 0,02 0,02 0,02 0,02 0,031 -0,005 -0,005 -0,01 -0,005
toplam -11,88 -11,88 23,75 4,99 7,92 47,93 -60,86
Bu yklemede max MK117 , V12 ve X12 bulunur . Pd = 27,00 kN / m
Mi j Mj iK 117 53.90 -53,90K 118 42,36 -42,36K 117 53,90 -53,90
37
Pd = 8,788 kN / m 23,75 kNm 60,86 kNm
50,77 kN 4,78m 66,29 kN V12 V21
V21 = 78,4
278,4.
200,27).78,478,0(
278,4.788,845,2386,60
2
+
++ = 66,29 kN
V12 = 78,4
278,4.
200,27).78,478,0(
278,4.788,875,2386,60
2
+
+++ = 50,77 kN
Maximum momentin bulunuu :
)2.(00,2700,27788,877,50 xx = 0 x = 2,1731 m
Mmax =
21731,0.00,271731,0
32.
200,27.2
21731,2.788,81731,2.77,5075,23
22
++
Mmax = 42,75 kNm
2. GRUP 2. YKLEME ( G P G )
Bu Yklemede max MK118 Bulunur
Pd = 30,00 kN / m
D.N 1 2.N 15 16 12 27 28 23 21
r 0,20 0,20 0,60 0,17 0,27 0,19 0,37M0 42,89 53,33 -42,891 -8,58 -8,58 -25,73 -12,872 0,45 0,41 0,66 0,46 0,901 -0,09 -0,09 -0,27 -0,142 0,03 0,02 0,04 0,03 0,051 -0,006 -0,006 -0,02 -0,01
toplam -8,68 -8,68 17,35 0,43 0,70 53,82 -54,96
38
Pd = 15,106 kN / m 53,87 kNm 53,87 kNm
K118
66,53 kN 4,28m 66,53 kN V23 V32
V23 = V32 = 66,53 kN
Ykleme ve Kesit Simetrik x = 2,14 m
Maximum momentin bulunuu :
Mmax = 214,0.14,0.00,3087,53
3214,0.
22.00,30
214,2.106,1514,2.53,66
2
+
Mmax = 29,42 kNm
2. GRUP 3. YKLEME ( P P G )
Mi j Mj iK 117 53,90 -53,90K 118 53,53 -53,53K 117 42,89 -42,89
D.N 1 2 3 4.N 15 16 12 21 27 28 23 32 39 310 34 43 411 412
r 0,20 0,20 0,60 0,31 0,14 0,23 0,32 0,32 0,14 0,23 0,31 0,60 0,20 0,20M0 53,90 -53,90 53,53 -53,53 42,89 -42,891 -10,78 -10,78 -32,34 -16,174 12,87 25,73 8,58 8,582 2,57 5,13 2,32 3,80 5,29 2,653 -0,78 -1,56 -0,68 -1,12 -1,51 -0,761 -0,51 -0,51 -1,55 -0,784 0,23 0,46 0,15 0,152 0,24 0,48 0,22 0,36 0,50 0,253 -0,08 -0,15 -0,07 -0,11 -0,15 -0,081 -0,05 -0,05 -0,14 -0,074 0,02 0,04 0,02 0,022 0,03 0,05 0,02 0,03 0,05 0,033 -0,01 -0,02 -0,01 -0,01 -0,01 -0,0051 -0,005 -0,005 -0,02 -0,01
Toplam -11,35 -11,35 22,69 -65,27 2,56 4,19 58,5 -52,33 -0,76 -1,24 54,34 -17,51 8,75 8,75
Bu yklemeden max V21 , V23 , X21 ve X23 bulunur
39
V21 = 78,4
278,4.
200,27).78,478,0(
278,4.788,827,6569,22
2
+
+++ = 67,44 kN
V23 = 28,4
228,4.
200,30).28,428,0(
228,4.106,1550,5833,52
2
+
+++ = 67,97 kN
X 21 = 65,27 kNm X 23 = 58,50 kNm
3. GRUP 1. YKLEME ( 0,9G 0,9G 0,9G )
Mi j Mj iK 117 38,60 -38,60K 118 38,12 -38,12K 117 38,60 -38,60
D.N 1 2 .N 15 16 12 21 27 28 23
r 0,20 0,20 0,60 0,37 0,17 0,27 0,19M0 38,60 -38,60 38,121 -7,72 -7,72 -23,16 -11,582 2,23 4,46 2,05 3,26 2,291 -0,45 -0,45 -1,33 -0,672 0,13 0,25 0,11 0,18 0,131 -0,03 -0,03 -0,07 -0,042 0,01 0,02 0,007 0,01 0,0081 -0,002 -0,002 -0,006
Toplam -8,20 -8,20 16,40 -46,16 2,17 3,45 40,55
K117 Kirii :
Pd = 17,10 kN / m
Pd = 7,91 kN / m 16,40 kNm 46,16 kNm
40
36,45 kN 4,78m 48,90 kN V12 V21
V21 = 78,4
278,4.
210,17).78,478,0(
278,4.91,740,1616,46
2
+
++ = 48,90 kN
V12 = 78,4
278,4.
210,17).78,478,0(
278,4.81,740,1616,46
2
+
+++ = 36,45 kN
M aximum momentin bulunuu :
)2.(10,1710,1791,745,36 xx = 0 x = 2,1411 m
Mmax = 21411,0.10,171411,0
32.
210,17.2
21411,2.91,71411,2.45,3640,16
22
++
Mmax = 48,60kNm
K118 Kirii :
Pd = 17,10 kN / m
Pd = 13,60 kN / m 40,55 kNm 40,55 kNm
K118
48,60 kN 4,28m 48,60 kN V23 V32
V23 = V32 = 48,60 kN
Ykleme ve Kesit Simetrik x = 2,14 m
Maximum momentin bulunuu :
Mmax = 214,0.14,0.10,1755,40
3214,0.
22.10,17
214,2.60,1314,2.60,48
2
+
Mmax = 18,69 kNm
41
C-C AKSI MOMENT DZELTMELER
X = X - M M = 3.aV
1. GRUP YKLEME ( P d Yklemesi )
X12 = 340,0.18,7265,35 + = - 26,026 kNm
X21 = 340,0.31,9721,95 + = - 82,24 kNm
X23 = 340,0.20,10017,87 + = - 73,81 kNm
2. GRUP YKLEME ( P Yklemesi )
X12 = 340,0.77,5075,23 + = - 16,98 kNm
X21 = 340,0.44,6727,65 + = - 56,278 kNm
X23 = 340,0.97,6750,58 + = - 49,44 kNm
3. GRUP YKLEME ( 0,9 G Yklemesi )
X12 = 340,0.45,3640,16 + = -11,54 kNm
X21 = 340,0.90,4816,46 + = - 6,52 kNm
X23 = 340,0.60,4855,40 + = - 34,07 kNm
42
C - C AKSI KESME KUVVET DZELTMELER
1. GRUP YKLEME ( P d Yklemesi )
S 3 iin x = 55,0240,0
2+=+ da = 0,75 m S 6 iin x = 55,02
40,02
+=+ da = 0,75 m
V12 = 275,0.745,1675,0.303,1259,74 = 59,08 kN
V21 = 275,0.775,1475,0.303,1231,97 = 82,54 kN
V23 = 275,0.575,1675,0.15,2120,100 = 78,12 kN
2. GRUP YKLEME ( P Yklemesi )
S 3 iin x = 240,0
2=
a= 0,20 m S 6 iin x = 2
40,02
=
a= 0,20 m
V12 = 220,0.05,420,0.788,877,50 = 48,61 kN
V21 = 220,0.70,220,0.788,844,67 = 65,41 kN
V23 = 220,0.00,320,0.106,1597,67 = 64,65 kN
43
C - C AKSI ELVERSZ YKLEMELER
1. Grup Moment Grafii (Pd)
( 73,81 ) ( 73,81 ) ( 26,026 ) ( 82,24 ) 87,17 87,17 ( 82,24 ) ( 26,026 )
35,65 95,21 95,21 35,65 - - - - - - + + +
69,96 44,91 69,96
2. Grup Moment Grafii (G+Q)
( 49,44 ) ( 49,44 ) ( 16,98 ) (56,278 ) 58,50 58,50 ( 56,278 ) ( 16,98 )
44
23,75 65,27 65,27 23,75 - - - - - - + + +
42,75 29,42 42,75
3. Grup Moment Grafii ( 0,9G )
( 11,54 ) ( 39,64 ) ( 34,07 ) ( 34,07 ) ( 39,64 ) ( 11,54 ) 16,40 46,16 40,55 40,55 46,16 16,40 - - - - - - + + +
29,53 18,69 29,53
1. Grup Kesme Kuvveti Grafii ( Pd )
74,59 ( 59,08 ) 100,20 ( 78,12 ) 97,31( 82,54 ) + + +
45
- - -
72,18 97,31 ( 59,08 ) ( 82,54 ) 100,20 ( 78,12 )
2. Grup Kesme Kuvveti Grafii ( G+Q )
50,77 ( 48,61 ) 67,97 ( 64,65 ) 67,44 ( 65,41 ) + + + - - -
50,77 67,44 ( 48,61 ) ( 65,41 ) 67,97 ( 64,65 )
3. Grup Kesme Kuvveti Grafii ( 0,9G )
36,45 48,60 48,90 + + +
46
- - -
36,45 48,90 48,60
1 - 1 AKS I ELVERSZ YKLEMELER
1. Grup Moment Grafii ( Pd )
( 68,935 ) 79,67 ( 60,111 ) ( 60,111 ) ( 68,935 )( 13,643 ) 60,55 ( 21,054 ) ( 21,054 ) 65,55 79,67
22,04 24,64 24,64
22,04 - - - - - - - (13,643) -
+ + + + 18,63 18,63 73,84 73,84
2. Grup Moment Grafii (G+Q)
( 46,938 ) ( 40,702 ) ( 46,938 )( 9,046 ) 54,30 ( 40,702 ) (11,49 ) ( 11,49 ) 44,40 54,30
14,74 44,40 13,74 13,74 14,74 ( 9,046 )
- - - - - - - -47
+ + + +
10,21 10,21 49,58 49,58
3. Grup Moment Grafii (0,9G)
( 30,942 ) ( 26,987 ) ( 26,987 ) ( 30,942 )( 5,599 ) 35,72 29,65 ( 7,113 ) ( 7,113 ) 29,65 35,72
9,23 8,73 8,73 9,23 ( 5,599)
- - - - - - - -
+ + + + 6,00 6,00 31,20 31,20
1. Grup Kesme Kuvveti Grafii ( Pd )
( 84,22 ) ( 60,84 ) ( 44,98 ) ( 26,45 ) 107,35 83,97 54,39 35,86
48
+ + + + - - - - 35,86 54,39 ( 26,45 ) ( 44,98 ) 83,97
107,35 ( 60,84 ) ( 84,22 )
2. Grup Kesme Kuvveti Grafii ( G+Q )
( 70,49 ) ( 53,81 ) ( 35,83 ) ( 21,35 ) 73,62 56,94 36,98 22,50
+ + + + - - - - 22,50 36,98 ( 21,35 ) ( 35,83 ) 56,94
73,62 ( 53,81 ) ( 70,49 )
2. Grup Kesme Kuvveti Grafii ( 0,9G )
47,78 36,31 26,63 16,17
+ + + +
49
- - - - 16,17 26,63 36,31
47,78
DEPREM HESABI
KAT VE BNA AILI ININ BULUNMASI
KOLON BENZER Gi ( kN ) Qi ( kN )S1 4 91,03 23,98S2 4 135,35 33,54S3 2 111,45 16,00S4 4 135,87 32,91S5 4 216,72 45,47S6 2 207,32 42,66
n = 0,3 ( hareketli yk azaltma katsays )
Wi = Gi + n.Qi bir katn arl W = bina al
Wi = ( ) ( )[ ] ++++++++ 47,4591,3254,3398,23.3,072,21687,13535,13503,91.4 ( ) ( )[ ]66,4200,16.3,032,20745,111.2 +++Wi = 3152 kN W = 5.Wi =15670 kN
50
X-X YN KOLON D DEERLER
KAT KOLON BNZ kc k1 k2 k3 k4 k' a D D
5
S1 4 4,225 0,000 10,520 0,000 10,520 2,490 0,555 2,343
39,271
S2 4 1,320 10,520 7,625 10,520 7,625 13,746 0,873 1,152S3 2 1,320 7,625 7,625 7,625 7,625 11,553 0,852 1,125S4 4 1,900 0,000 10,482 0,000 10,482 5,517 0,734 1,394S5 2 4,225 10,482 8,976 10,482 8,976 4,605 0,697 2,946
S5A 2 4,225 9,013 10,482 9,013 10,482 4,614 0,698 2,947S6 1 4,225 8,976 9,013 8,976 9,013 4,258 0,680 2,875
S6A 1 4,225 8,976 7,625 8,976 7,625 3,929 0,663 2,800
4
S1 4 4,225 0,000 10,520 0,000 10,520 2,490 0,555 2,343
39,271
S2 4 1,320 10,520 7,625 10,520 7,625 13,746 0,873 1,152S3 2 1,320 7,625 7,625 7,625 7,625 11,553 0,852 1,125S4 4 1,900 0,000 10,482 0,000 10,482 5,517 0,734 1,394S5 2 4,225 10,482 8,976 10,482 8,976 4,605 0,697 2,946
S5A 2 4,225 9,013 10,482 9,013 10,482 4,614 0,698 2,947S6 1 4,225 8,976 9,013 8,976 9,013 4,258 0,680 2,875
S6A 1 4,225 8,976 7,625 8,976 7,625 3,929 0,663 2,800
3
S1 4 7,207 0,000 10,520 0,000 10,520 1,460 0,422 3,041
52,078
S2 4 1,540 10,520 7,625 10,520 7,625 11,782 0,855 1,317S3 2 1,540 7,625 7,625 7,625 7,625 9,903 0,832 1,281S4 4 3,018 0,000 10,482 0,000 10,482 3,473 0,635 1,915S5 2 7,207 10,482 8,976 10,482 8,976 2,700 0,574 4,140
S5A 2 7,207 9,013 10,482 9,013 10,482 2,705 0,575 4,143S6 1 7,207 8,976 9,013 8,976 9,013 2,496 0,555 4,001
S6A 1 7,207 8,976 7,625 8,976 7,625 2,303 0,535 3,858
2
S1 4 7,207 0,000 10,520 0,000 10,520 1,460 0,422 3,041
52,078
S2 4 1,540 10,520 7,625 10,520 7,625 11,782 0,855 1,317S3 2 1,540 7,625 7,625 7,625 7,625 9,903 0,832 1,281S4 4 3,018 0,000 10,482 0,000 10,482 3,473 0,635 1,915S5 2 7,207 10,482 8,976 10,482 8,976 2,700 0,574 4,140
S5A 2 7,207 9,013 10,482 9,013 10,482 2,705 0,575 4,143S6 1 7,207 8,976 9,013 8,976 9,013 2,496 0,555 4,001
S6A 1 7,207 8,976 7,625 8,976 7,625 2,303 0,535 3,858
1
S1 4 7,207 0,000 10,520 0,000 10,520 1,460 0,422 3,041
63,915
S2 4 2,660 10,520 7,625 10,520 7,625 6,821 0,773 2,057S3 2 2,660 7,625 7,625 7,625 7,625 5,733 0,741 1,972S4 4 3,621 0,000 10,482 0,000 10,482 2,895 0,591 2,141S5 2 11,545 10,482 8,976 10,482 8,976 1,685 0,457 5,280
S5A 2 11,545 9,013 10,482 9,013 10,482 1,689 0,458 5,285S6 1 11,545 8,976 9,013 8,976 9,013 1,558 0,438 5,056
S6A 1 11,545 8,976 7,625 8,976 7,625 1,438 0,418 4,829
ZEM
N S1 4 7,207 0,000 10,520 0,000 0,000 1,460 0,566 4,082 80,072S2 4 2,660 10,520 7,625 0,000 0,000 6,821 0,830 2,208S3 2 2,660 7,625 7,625 0,000 0,000 5,733 0,806 2,144S4 4 3,621 0,000 10,482 0,000 0,000 2,895 0,694 2,511
51
S5 2 11,545 10,482 8,976 0,000 0,000 1,685 0,593 6,846S5A 2 11,545 9,013 10,482 0,000 0,000 1,689 0,593 6,850S6 1 11,545 8,976 9,013 0,000 0,000 1,558 0,578 6,678
S6A 1 11,545 8,976 7,625 0,000 0,000 1,438 0,564 6,508
k' =(k1+k2+k3+k4) / (2.kc) Zemin Katta a = (0,5+k') / (2+k')
a = k' / (2+k') k' =( k1+k2 ) / ( kc )
D=a.kc
X-X YN DEPREM HESABI ( 1-1 AKSI )
Vt = 1000 kN iin
KATLAR Wi ( kN ) Hi ( m ) WiHi VT / WiHi Fi Vi ( kN )
4.KAT 3152 14,70 46334,40 0,00719 333,333 333,3333.KAT 3152 11,76 37067,52 0,00719 266,667 6002.KAT 3152 8,82 27800,64 0,00719 200,00 8001.KAT 3152 5,88 18533,76 0,00719 133,333 913,333Z KAT 3152 2,94 9266,88 0,00719 66,667 1000
BNANIN BRNC DOAL TTREM PERYODUNUN BULUNMASI
KAT m i Fi Vi Di.(12E/h2).104 di dfi Fidfi Midfi2
4.KAT 321,30 333,333 333,333 47,70 6,988 58,374 19457,98 1094837,423.KAT 321,30 266,667 600,00 47,70 12,579 51,386 13702,95 848399,402.KAT 321,30 200,00 800,00 56,00 14,286 38,807 7761,20 483872,421.KAT 321,30 133,333 913,333 66,18 13,801 24,521 3269,46 193191,08Z KAT 321,30 66,667 1000,00 93,28 10,720 10,720 714,67 36923,28
TOPLAM= 44906,26 2657223,60
fidfi = 44906,26 E= 2,8 * 107 ( kN / m2 ) Midfi2
= 2657223,60 h= 2,94 ( m )w2 = 65,6937
w = 8,1052 (rad/sn)T = 0,7752 (sn)
Zemin Snf Z1 ve 1. Deprem Blgesi iin
TA = 0,10 sn TB = 0,30 sn Ra(T1) = R = 8 (sneklik )
A0 = 0,40 ( 1. Deprem blgesi ) I = 1,00 ( konut ) T = 0,7752 > TB = 0,3
52
S(T1) =8,08,0
7752,03,0.5,2.5,2
=
TTB = 1,170
A(T1) = A0.I.S(T1) = 0,40 . 1,00 . 1,170 = 0,4679
Vt = 84679,0.15670
)()(.
1
1=
TRTAW
a = 917kN
Vt = 917 kN iin
KATLARA ETKYEN TASARIM DEPREM YKLER
KATLAR Wi ( kN ) Hi ( m ) WiHi VT/ WiHi Fi Vi ( kN )
4.KAT 3152 14,70 46334,4 0,006597 305,668 305,6683.KAT 3152 11,76 37067,52 0,006597 244,534 550,2022.KAT 3152 8,82 27800,64 0,006597 183,401 733,6031.KAT 3152 5,88 18533,76 0,006597 122,267 855,870Z KAT 3152 2,94 9266,88 0,006597 61,134 917,000
305,668 kN Wi =3152 kN
244,534 kN Wi =3152 kN
183,401 kN Wi =3152 kN
122,267 kN Wi =3152 kN
61,134kN Wi =3152 kN
53
54
Y-Y YN KOLON D DEERLER
KAT KOLON BNZ kC k1 k2 k3 k4 k' a D D
5
S1 4 4,225 0,000 8,634 0,000 8,634 2,044 0,505 2,135
38,516
S2 4 1,900 0,000 10,340 0,000 10,340 5,442 0,731 1,389S3 2 1,900 0,000 9,013 0,000 9,013 4,744 0,703 1,337S4 4 1,320 8,634 7,536 8,634 7,536 12,250 0,860 1,135S5 2 4,225 10,340 8,932 10,340 8,932 4,561 0,695 2,937
S5A 2 4,225 10,340 7,536 10,340 7,536 4,231 0,679 2,869S6 1 4,225 9,013 7,536 9,013 7,536 3,917 0,662 2,797
S6A 1 4,225 9,013 7,536 9,013 7,536 3,917 0,662 2,797
4
S1 4 4,225 0,000 8,634 0,000 8,634 2,044 0,505 2,135
38,516
S2 4 1,900 0,000 10,340 0,000 10,340 5,442 0,731 1,389S3 2 1,900 0,000 9,013 0,000 9,013 4,744 0,703 1,337S4 4 1,320 8,634 7,536 8,634 7,536 12,250 0,860 1,135S5 2 4,225 10,340 8,932 10,340 8,932 4,561 0,695 2,937
S5A 2 4,225 10,340 7,536 10,340 7,536 4,231 0,679 2,869S6 1 4,225 9,013 7,536 9,013 7,536 3,917 0,662 2,797
S6A 1 4,225 9,013 7,536 9,013 7,536 3,917 0,662 2,797
3
S1 4 7,207 0,000 8,634 0,000 8,634 1,198 0,375 2,700
51,141
S2 4 3,018 0,000 10,340 0,000 10,340 3,426 0,631 1,906S3 2 3,018 0,000 9,013 0,000 9,013 2,986 0,599 1,808S4 4 1,540 8,634 7,536 8,634 7,536 10,500 0,840 1,294S5 2 7,207 10,340 8,932 10,340 8,932 2,674 0,572 4,123
S5A 2 7,207 10,340 7,536 10,340 7,536 2,480 0,554 3,990S6 1 7,207 9,013 7,536 9,013 7,536 2,296 0,534 3,852
S6A 1 7,207 9,013 7,536 9,013 7,536 2,296 0,534 3,852
2
S1 4 7,207 0,000 8,634 0,000 8,634 1,198 0,375 2,700
51,141
S2 4 3,018 0,000 10,340 0,000 10,340 3,426 0,631 1,906S3 2 3,018 0,000 9,013 0,000 9,013 2,986 0,599 1,808S4 4 1,540 8,634 7,536 8,634 7,536 10,500 0,840 1,294S5 2 7,207 10,340 8,932 10,340 8,932 2,674 0,572 4,123
S5A 2 7,207 10,340 7,536 10,340 7,536 2,480 0,554 3,990S6 1 7,207 9,013 7,536 9,013 7,536 2,296 0,534 3,852
S6A 1 7,207 9,013 7,536 9,013 7,536 2,296 0,534 3,852
1
S1 4 7,207 0,000 8,634 0,000 8,634 1,198 0,375 2,700
61,559
S2 4 3,621 0,000 10,340 0,000 10,340 2,856 0,588 2,130S3 2 3,621 0,000 9,013 0,000 9,013 2,489 0,554 2,008S4 4 2,660 8,634 7,536 8,634 7,536 6,079 0,752 2,001S5 2 11,545 10,340 8,932 10,340 8,932 1,669 0,455 5,252
S5A 2 11,545 10,340 7,536 10,340 7,536 1,548 0,436 5,038S6 1 11,545 9,013 7,536 9,013 7,536 1,433 0,417 4,820
S6A 1 11,545 9,013 7,536 9,013 7,536 1,433 0,417 4,820
ZEM
N
S1 4 7,207 0,000 8,634 0,000 0,000 1,198 0,531 3,827
78,785
S2 4 3,621 0,000 10,340 0,000 0,000 2,856 0,691 2,502S3 2 3,621 0,000 9,013 0,000 0,000 2,489 0,666 2,411S4 4 2,660 8,634 7,536 0,000 0,000 6,079 0,814 2,166S5 2 11,545 10,340 8,932 0,000 0,000 1,669 0,591 6,825
S5A 2 11,545 10,340 7,536 0,000 0,000 1,548 0,577 6,665S6 1 11,545 9,013 7,536 0,000 0,000 1,433 0,563 6,501
S6A 1 11,545 9,013 7,536 0,000 0,000 1,433 0,563 6,501
55
Y-Y YN DEPREM HESABI ( C - C AKSI )
S(T1) =8,08,0
773696,030,0.5,2.5,2
=
TTB = 1,1716
A(T1) = A0.I.S(T1) = 0,40 . 1,00 . 1,1716 = 0,4686
Vt = 804686.15670
)()(.
1
1=
TRTAW
a = 918 kN
Vt = 1000 iin
Wi (KN) Hi (m) WiHi VT/ WiHi Fi Vi (KN)
4.KAT 3152 14,70 46334,40 0,00719 333,333 333,3333.KAT 3152 11,76 37067,52 0,00719 266,667 6002.KAT 3152 8,82 27800,64 0,00719 200,00 8001.KAT 3152 5,88 18533,76 0,00719 133,333 913,333Z KAT 3152 2,94 9266,88 0,00719 66,667 1000
BNANIN BRNC DOAL TTREM PERYODUNUN BULUNMASI
KAT Mi Fi Vi Di . (12E/h2) di dfi Fidfi Midfi2
4.KAT 321,30 333,333 333,333 48,427 6,883 50,034 19344,60631 1082116,193.KAT 321,30 266,667 600,00 48,427 12,390 51,151 13640,19607 840646,48482.KAT 321,30 200,00 800,00 56,377 14,190 38,761 7752,177751 482723,20751.KAT 321,30 133,333 913,333 65,869 13,866 24,571 3276,085785 193975,0866Z KAT 321,30 66,667 1000,00 93,416 10,705 10,704 713,6571893 36818,67803
TOPLAM= 44726,7231 2636279,647
fidfi = 44726,7231 E= 2,80*107 (kn/m2) Midfi2
= 2636279,647 h= 2,94 (m)w2 = 65,95w = 8,121 (rad/sn)T = 0,773696 (sn)
56
Vt = 918 kN iin
KATLARA ETKYEN TASARIM DEPREM YKLER
KATLAR Wi ( kN ) Hi ( m ) WiHi VT / WiHi Fi Vi ( kN )
4.KAT 3152 14,70 46334,4 0,0066042 306 3063.KAT 3152 11,76 37067,52 0,0066042 244,8 550,802.KAT 3152 8,82 27800,64 0,0066042 183,6 734,401.KAT 3152 5,88 18533,76 0,0066042 122,4 856,80Z KAT 3152 2,94 9266,88 0,0066042 61,20 918,00
306 kN Wi =3152 kN
244,80 kN Wi =3152 kN
183,60 kN Wi =3152 kN
122,40 kN Wi =3152 kN
61,20 kN Wi =3152 kN
57
1-1 AKSI DEPREM YKLER DZELTMELER
S1 S2 S3 S2 S1
34,12 ( 27,16 ) 48,69 ( 38,75 ) 48,29 (38,43 ) 48,69 ( 38,75 ) 34,12 ( 27,16 )
( 19,31 ) 24,97 ( 19,31 ) 38,74 ( 29,96 ) 34,73 ( 26,85 ) 38,74 ( 29,96 ) 24,97 76,888 52,011 49,685 52,011 76,888
30,52 ( 24,86 ) 47,35 ( 38,57 ) 42,45 ( 34,57 ) 47,35 ( 38,57 ) 30,52 ( 24,86 )
58
S1 Kolonu in
34,12
MK101l = 34,12 + 24,97 = 59,09 kNm
24,97
S2 Kolonu in
48,69 k1 = 16,437
k2 = 14,925 MK101 = 16,437 / ( 16,437 + 14,925 ). 87,43 = 45,82 k 1 k 2 MK101 MK102 MK102 = 14,925 / ( 16,437 + 14,925 ) .87,43 = 41,61
38,74
S3 Kolonu in
48,29 k1 = 14,925
k2 = 14,925
k 1 k 2 MK103 = MK102 = ( 48,29 + 34,73 ) / 2 = 41,51MK102 MK103
34,73
MOMENT DEERLER
MK101l = 34,12 + 24,97 = 59,09 kNm
MK101r = 16,437 / ( 16,437 + 14,925 ). 87,43 = 45,82 kNm = MK104l
MK102l =14,925 / ( 16,437 + 14,925 ) .87,43 = 41,61kNm = MK103r
MK102r =( 48,29 + 34,73 ) / 2 = 41,51 kNm = MK103l
KESME KUVVET DEERLER
59
VK101 = VK104 = 62,482,4509,59 +
= 22,71 kN
VK102 = VK103 = 00,451,4161,41 +
= 20,78 kN
MOMENT DZELTMELER
Kiri Dzeltmeleri :
M = 2.
0aVM
MK101l = 230,0.71,2209,59 = 55,68 kNm = MK104r
MK101r = 230,0.71,2282,45 = 42,41 kNm = MK104l
MK102l = 230,0.78,2061,41 = 38,49 kNm = MK103r
MK102r = 230,0.78,2051,41 = 38,39 kNm = MK103l
Kolon Dzeltmeleri :
1. Kat S 1 M1,S1 = 260,0.
94,212,3412,3412,34
+
= 27,16 kNm
Z. Kat S 1 MZ,S1 = 260,0.
94,252,3097,2497,24
+
= 19,31 kNm
1. Kat S 2 M1,S2 = 260,0.
94,269,4869,4869,48
+
= 38,75 kNm
Z. Kat S 2 MZ,S2 = 260,0.
94,235,4774,3874,38
+
= 29,96 kNm
1. Kat S 3 M1,S3 = 260,0.
94,229,4829,4829,48
+
= 38,43 kNm
Z. Kat S 3 MZ,S3 = 260,0.
94,245,4273,3473,34
+
= 26,85 kNm
60
C - C AKSI DEPREM YKLER DZELTMELER
S3 S6 S6 S3
61,98 83,69 83,69 61,98
48,97 97,28 97,28 48,97 61,98 93,69 93,69 61,98
60,58 128,95 128,95 60,58
61
S3 Kolonu in
61,98
MK117l
48,97
S6 Kolonu in
93,69 k1 = 14,147
k2 = 16,032
k 1 k 2 MK117 MK118
97,28
MOMENT DEERLER
MK117l = 61,98 + 48,97 = 110,95 kNm
MK117r = ( ) ( )
+
+032,16147,14
147,14.28,9769,93 = 89,52 kNm
MK118l = ( ) ( )
+
+032,16147,14
032,16.28,9769,93 = 101,45 kNm = MK118r
KESME KUVVET DEERLER
VK117 = 78,452,8995,110 +
= 41,939 kN
VK118 = 28,445,10145,101 +
= 23,703 kN
MOMENT DZELTMELER
62
Kiri Dzeltmesi :
M = 2.
0aVM
MK117l = 240,0.939,4195,110 = 102,56 kNm
MK117r = 240,0.939,4152,89 = 81,13 kNm
MK118l = 240,0.407,4745,101 = 96,97 kNm = MK118r
Kolon dzeltmesi :
1. Kat S3 M1,S2 = 240,0.
94,298,6198,6198,61
+
= 53,547 kNm
Z. Kat S3 MZ,S2 = 240,0.
94,258,6097,4897,48
+
= 41,518 kNm
1. Kat S6 M1,S5 = 240,0.
94,269,9369,9369,93
+
= 80,943 kNm
Z. Kat S6 MZ,S5 = 245,0.
94,295,12828,9728,97
+
= 79,966 kNm
I I AKSI DAGRAMLARI :
KESME KUVVET DAGRAMI :
23,21 33,12 32,85 33,12 23,21
22,71 20,78 22,71
18,87 29,28 26,25 29,28 18,87 NORMAL KUVVET DAGRAMI :
74,88 6,26 6,26 74,88
63
97,59 8,19 8,19 97,59
C C AKSI DAGRAMLARI :
KESME KUVVET DAGRAMI :
42,163 63,735 63,735 42,463
41,939 41,93923,703
37,26 76,946 76,946 37,26
NORMAL KUVVET DAGRAMI :
110,278 39,227 39,227 110,278
152,217 57,463 57,463 152,217
KR DONATI HESABI
64
B B AKSI ELME DONATISI HESABI
1 2 3 4K115 K116 K115
fcd (Mpa) 13 13 13 13 13 13 13 13 13fyd (Mpa) 365 365 365 365 365 365 365 365 365b (mm) 950 950 950 950 950 950 950 950 950bw (mm) 250 250 250 250 250 250 250 250 250d (mm) 460 460 460 460 460 460 460 460 460d (mm) 40 40 40 40 40 40 40 40 40M1,4g+1,6q -52,92 59,97 -76,4 -56,82 32,24 -56,82 -52,92 59,97 -76,4Mg+q -40,7 -52,29 -38,06 -38,06 -40,7 -52,29M0,9g -28,44 -37,34 -26,50 -26,50 -28,44 -37,34Meq 177,21 110,25 121,46 121,46 177,21 110,25Mg+q-eq -217,91 -162,54 -159,52 -159,52 -217,91 -162,54Mg+q+eq -205,65 -147,59 -147,96 -147,96 -205,65 -147,59M0,9g-eq 148,77 72,91 94,96 94,96 148,77 72,91M0,9g+eq 136,21 57,96 83,4 83,4 136,21 57,96min Md -217,91 -162,54 -159,52 -159,52 -217,91 -162,54max Md 148,77 59,97 72,91 94,96 32,24 94,96 148,77 59,97 72,91
KR AIKLIK DONATISI
K115 Kirii Aklk Donats:
My = ( ) ( ) 60,85. . . . 0,5. 0,85.13.950.140. 460 0,5.140 .10 573cd w f ff b h d h kNm = = kNm573 59,97r dM M> > Soyut dikdrtgen kesit hesab
M d = 0,85 . f cd . bw . a . ( d 0,5 a )
59,97 . 10 6 = 0,85 . 13 . 950 . a ( 460 0,5 a ) a = 12,6 mm
A s