35237522-betonarme-hesapları

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


s = ( ) 772,040047824004782

=

+

+

lsn = 400-25 = 375 cm

hf

+ 4772,01

195,12015

375 hf 9,535 cm

D103 DEMES


m = 079,1428462


s = ( ) 80,042846224284622

=

+

+

lsn = 428-25 = 403 cm

hf

+ 480,01

079,12015

403 hf 9,61 cm

D105 DEMES


2

m = 07,1400428


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


)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



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



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

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

35237522-betonarme-hesapları

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