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  • 8/3/2019 1 - HAFTA _ DEME HESAPLARI _

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    Hazrlayan : Hseyin Gren Seluk niversitesi naat Blm

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    Blm I :

    at Demelerinde yanlzca yklerin hesaplanmas ve 1. Normal katt demelerinde tayc sistem ve

    betonarme hesabn yaplarak, kalp ve donat plannn 1/50 leinde izilmesi.

    1- Kiri Gvde Genilii Tayini :

    Kiri gde genilii minimum 250 mm alnabilir. DBYBHY-2007Kiri gvde genilii 250 mm alnmtr.

    2- Demelerin alma ekli

    DN01 demesi iin; l

    s

    lm

    l= =

    3801,027 2

    370= ( ift Dorultuda alan Deme )

    DN02 demesi iin; l

    s

    lm

    l= =

    4401,158 2

    380= ( ift Dorultuda alan Deme )

    DN03 demesi iin; ls

    lm l= =

    3701,213 2305 = ( ift Dorultuda alan Deme )

    DN04 demesi iin; l

    s

    lm

    l= =

    4401,443 2

    305= ( ift Dorultuda alan Deme )

    DD01 demesi iin; l

    s

    lm

    l= =

    5151,355 2

    380= ( ift Dorultuda alan Deme )

    3- Deme Kalnlklarnn Belirlenmesi

    DN01 Demesi

    s(345 345 355 355) 1(345 345 355 355)

    + + +

    = =+ + +

    345 1t * (1 ) 7,51

    20 4151,027

    = =

    +

    cm

    DN02 Demesi

    s

    (415 415 355)0,769

    2 * (355 415)

    + += =

    +

    355 0,769

    t * (1 ) 8,8920 4151,158

    = =+ cm

    DN03 Demesi

    s

    (345 345 280)0,776

    2 * (345 280)

    + += =

    +

    280 0,776t * (1 ) 7,17

    20 4151,213

    = =

    +

    cm

    DN04 Demesi

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    Hazrlayan : Hseyin Gren Seluk niversitesi naat Blm

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    s

    (415 415 280)0,779

    2 * (415 280)

    + += =

    +

    280 0,779t * (1 ) 7,81

    20 4151,443

    = =

    +

    cm

    DDN01 Demesis 0 =

    355t 11,93

    2015

    1,355

    = =

    +

    cm

    DNB01 Demesi

    75,1210

    5,127h f == cm

    4- Demelerin Sehim Kontrol

    Boyutlar en byk olan deme, DN02 ye gre sehim kontrol yaplr.

    snl 355t 11,8430 30

    = = = cm

    DN01, DN02, DN03, DN04 DDN01 Demeleri iin t = 12 cm seilmitir.

    DNB01 Demeleri iin t = 14 cm seilmitir.

    5- Yk Analizleri

    A ) at Demesi

    Ahap oturtma at + poliretanl at Paneli = 0,075 t/m2

    Is yaltm malzemesi = 0,025 t/m2

    Betonarme plak = 0,300 t/m2

    Tavan Svas = 0,040 t/m2

    Toplam = 0,440 t/m2

    B ) Ahap Parke Kapl Demeler

    ( DN01, DN02, DN03, DN04 )

    Ahap Parke = 0,021 t/m2

    Tesviye Betonu + ap = 0,110 t/m2

    Betonarme Plak = 0,300 t/m2

    Tavan Svas = 0,040 t/m2

    Toplam = 0,471 t/m2

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    C ) Seramik Kapl Mozaik Kapl Dk Demeler

    ( DDN01 )

    Fayans Kaplama = 0,040 t/m2

    Tesviye Betonu = 0,110 t/m2

    Cruf Dolgu = 0,532 t/m2

    Betonarme Plak = 0,300 t/m2

    Tavan Svas = 0,040 t/m2

    Toplam = 1,022 t/m2

    D ) Seramik Mozaik Kaplamal Deme

    ( DNB01 )

    Seramik Kaplama = 0,040 t/m2

    Tesviye Betonu + ap = 0,110 t/m2

    Betonarme Plak = 0,300 t/m2

    Tavan Svas = 0,040 t/m2

    Toplam = 0,540 t/m2

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    6- Hareketli Ykler

    at iin kar yk deeri Kayseri iin olan deer alnmtr. q = 0,1155 t/m2

    Normal katlar iin; maaza, lokanta v.b. iin. q = 0,500 t/m2

    Balkonlar iin q = 0,500 t/m2

    Kayseri Merkez 1. Zati Kar yk blgesindedir.

    g ( t/m2 ) q ( t/m2 ) Pd ( t/m2 )DN01 0,471 0,500 1,459DN02 0,471 0,500 1,459DN03 0,471 0,500 1,459DN04 0,471 0,500 1,459

    DDN01 1,022 0,500 2,231

    DNB01 0,540 0,500 1,556at D. 0,440 0,116 0,801

    7- Deme Statik Hesab

    DN01 Demesi

    m = 1,027

    ml 0,0330 = al 0,0250 =

    ms 0,0349 = as 0,0265 =

    Ksa Kenar Dorultusunda Statik Hesap ( d = 10 cm )

    tcm73,4855,3*459,1*100*0265,0M 2as ==

    21,20573,48

    10*100K

    2

    == cm2 /t iin 0013,0= < 0015,0= minimum donat kullanlr.

    5,110*100*0015,0A s == cm2

    =

    cm20

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2

    )

    tcm17,6455,3*459,1*100*0349,0M 2ms ==

    Uzun Kenar Dorultusunda Statik Hesap ( d = 9 cm )

    tcm00,4655,3*459,1*100*0250,0M 2al ==

    1,17646

    9*100K

    2

    == cm2 /t iin 0016,0= > 0015,0=

    0035,0ls + olmal 0035,00016,00027,0 + 44,19*100*0016,0A s == cm

    2

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    =

    cm25

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    tcm67,6055,3*459,1*100*0330,0M 2ml ==

    DN02 Demesi

    m = 1,158

    ml 0,0410 = al 0,0310 = x

    ms 0,0446 = as 0,0334 = x

    Ksa Kenar Dorultusunda Statik Hesap ( d = 10 cm )

    tcm413,6155,3*459,1*100*0334,0M 2as ==

    84,162413,61 10*100K2

    == cm2 /t iin 00174,0= > 0015,0=

    74,110*100*00174,0A s == cm2

    =

    cm20

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    tcm006,8255,3*459,1*100*0446,0M 2ms ==

    Uzun Kenar Dorultusunda Statik Hesap ( d = 9 cm )

    tcm00,5755,3*459,1*100*0310,0M2

    al ==

    1,14257

    9*100K

    2

    == cm2 /t iin 0020,0= > 0015,0=

    0035,0ls + olmal 0035,00020,00027,0 +

    8,19*100*0020,0A s == cm2

    =

    cm25

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    tcm39,7555,3*459,1*100*0410,0M 2ml ==

    DN03 Demesi

    m = 1,213

    ml 0,0410 = al 0,0310 =

    ms 0,0529 = as 0,0404 =

    Ksa Kenar Dorultusunda Statik Hesap ( d = 10 cm )

    2asM 0,0404 * 100 * 1,459 * 2,8 46,21tcm= =

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    2100*10K 216,4

    46,21= = cm2 /t iin 0013,0= < 0015,0= minimum donat kullanlr.

    5,110*100*0015,0A s == cm2

    =

    cm20

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    2msM 0,0529 * 100 * 1,459 * 2,8 60,47tcm= =

    Uzun Kenar Dorultusunda Statik Hesap ( d = 9 cm )

    tcm45,358,2*459,1*100*0310,0M 2al ==

    4,22845,35

    9*100K

    2

    == cm2 /t iin 0013,0= < 0015,0= minimum donat kullanlr.

    0035,0ls + olmal 0035,00015,00027,0 +

    35,19*100*0015,0A s == cm

    2

    =

    cm25

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    tcm89,468,2*459,1*100*0410,0M 2ml ==

    DN04 Demesi

    m = 1,443ml 0,0410 = al 0,0310 =

    ms 0,0626 = as 0,0472 =

    Ksa Kenar Dorultusunda Statik Hesap ( d = 10 cm )

    tcm99,538,2*459,1*100*0472,0M 2as ==

    219,185991,53

    10*100K

    2

    == cm2 /t iin 0013,0= < 0015,0= minimum donat kullanlr.

    5,110*100*0015,0A s == cm2

    =

    cm20

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    tcm60,718,2*459,1*100*0626,0M 2ms ==

    Uzun Kenar Dorultusunda Statik Hesap ( d = 9 cm )

    tcm45,358,2*459,1*100*0310,0M 2al ==

    4,22845,35

    9*100K

    2

    == cm2

    /t iin 0013,0= < 0015,0= minimum donat kullanlr.

    0035,0ls + olmal 0035,00015,00027,0 +

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    35,19*100*0015,0A s == cm2

    =

    cm25

    cm18t5,1smax seilen : 18/8 (2,79 cm

    2)

    tcm89,468,2*459,1*100*0410,0M 2ml ==

    DDN01 Demesi

    m = 1,355443

    al 0,0500 =

    as 0,0692 =

    Ksa Kenar Dorultusunda Statik Hesap ( d = 10 cm )

    tcm56,19455,3*231,2*100*0692,0M 2

    as==

    40,5156,194

    10*100K

    2

    == cm2 /t iin 0057,0= > 0015,0=

    7,510*100*0057,0A s == cm2

    =

    cm20

    cm18t5,1smax seilen : 5,13,10 (5,87 cm

    2)

    Uzun Kenar Dorultusunda Statik Hesap ( d = 9 cm )

    tcm58,14055,3*231,2*100*0500,0M2

    al ==

    62,5758,140

    9*100K

    2

    == cm2 /t iin 0050,0= > 0015,0=

    0035,0ls + olmal 0035,00015,00027,0 +

    5,49*100*0050,0A s == cm2

    =

    cm25

    cm18t5,1smax seilen : 17/10 (4,62 cm

    2)

    DDN01 Demesi

    236,12

    4,1*261,1

    2

    l*PM

    22d

    konsol === tm

    8- Mesnet Momenti Dzeltmeleri Ve Donat Hesab

    DN01 DNB01 Aras Mesnet Donats

    konsolM 123,6tcm= DN01 = t = 12 cm

    mlM 75,387tcm= DNB01 = t = 14 cm

    Deme kalnlklar farkl olduu iin her iki moment e gre hesap yaplr ve byk olan seilir.

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    2100*10K 138,3

    75,39= = 0,0020 = sA 0,0020 *100 *10 2= = cm

    2

    2100*12K 116,5

    123,6= = 0,0024 = sA 0,0024 *100 *12 2,88= = cm

    2

    Mevcut Donat : 8 / 3 6 (1,395 cm2)

    htiya Mesnet Donats : 2,88 1,395 = 1,485 cm2

    lave Donat : 8 / 33 (1,525 cm2)

    DNB01 Datma Donats : 2,88 / 5 = 0,576 cm2 8 / 3 0

    DN02 DNB01 Aras Mesnet Donats

    konsolM 123,6tcm= DN01 = t = 12 cm

    mlM 82,006tcm= DNB01 = t = 14 cm

    Deme kalnlklar farkl olduu iin her iki moment e gre hesap yaplr ve byk olan seilir.

    2100*10K 121,94

    82,006= = 0,0025 = sA 0,0025 *100 *10 2,5= = cm

    2

    2100*12K 116,5

    123,6= = 0,0024 = sA 0,0024 *100 *12 2,88= = cm

    2

    Mevcut Donat : 8 / 3 6 (1,395 cm2)

    htiya Mesnet Donats : 2,88 1,395 = 1,485 cm2

    lave Donat : 8 / 33 (1,525 cm2)

    DN01 DN02 Aras Mesnet Donats

    DN01 demesi Mms = 64,17 tcm

    DN02 demesi Mml = 75,39 tcm

    mk

    ml

    M 64,170,85 0,8

    M 75,39= = ( moment datm yaplmaz )

    2100*10K 132,64

    75,39

    = = 0,0021 = sA 0,0021* 100 *12 2,1= = cm2

    Mevcut Donat : 8 / 36 (1,395 cm2) + 8 / 36 (1,395 cm2) = 2,79 cm2

    htiya Mesnet Donats : 2,1 cm2

    lave Donat : mevcut donat yeterlidir.

    DN01 DN03 Aras Mesnet Donats

    DN01 demesi Mml = 60,67 tcm

    DN03 demesi Mms = 60,67 tcm

    mk

    ml

    M 60,671 0,8

    M 60,67= = ( moment datm yaplmaz )

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    2100*10K 164,82

    60,67= = 0,0017 = sA 0,0017 *100 *10 1,7= = cm

    2

    Mevcut Donat : 8 / 3 6 (1,395 cm2) + 8 / 3 6 (1,395 cm2) = 2,79 cm2

    htiya Mesnet Donats : 1,7 cm2

    lave Donat : mevcut donat yeterlidir.

    DN02 DN04 Aras Mesnet Donats

    DN02 demesi Mms = 82,006 tcm

    DN04 demesi Mms = 71,60 tcm

    mk

    ml

    M 71,600,873 0,8

    M 80,006= = ( moment datm yaplmaz )

    2100*10K 121,94

    82,006

    = = 0,0025 = sA 0,0025 *100 *10 2,5= = cm2

    Mevcut Donat : 8 / 36 (1,395 cm2) + 8 / 36 (1,395 cm2) = 2,79 cm2

    htiya Mesnet Donats : 2,5 cm2

    lave Donat : mevcut donat yeterlidir.

    DN03 DN04 Aras Mesnet Donats

    DN02 demesi Mml = 46,89 tcm

    DN04 demesi Mml = 46,89 tcm

    mk

    ml

    M 46,891 0,8

    M 46,89= = ( moment datm yaplmaz )

    2100*10K 213,26

    46,89= = 0,0013 = sA 0,0015 *100 *10 1,5= = cm

    2

    Mevcut Donat : 8 / 3 6 (1,395 cm2) + 8 / 3 6 (1,395 cm2) = 2,79 cm2

    htiya Mesnet Donats : 1,5 cm2

    lave Donat : mevcut donat yeterlidir.