Glavni Nosac Almir

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    Š PROJEKTOVANJE Statički proračun

    MOSTOVA Decembar, 20 !" #o$ine

    3.2. STATIČKI PRORAČUN GLAVNOG NOSAČASadržaj

    3.2.1. Analiza opt r ! nja za prora"#n $la%no$ no&a"a''''''''''''''''''''''''''''''2

    3.2.2. Stati"(i prora"#n # pro$ra)# To* r + za $la%ni no&a" %%%%%%%%%%%%%%%%%%%%%%%

    O'no(ni po$aci o mo$e)u %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    *)a+ni po$aci

    *)a+ni po$aci Kon'trukci-a%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    *)a+ni po$aci Optere/en-e%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    Re+u)tati

    Statički proračun%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    Dimen+ioni'an-e beton1%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    3 .

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    STALNO OPTEREĆENJE

    -Vlastita težina nosača:

    G1 = [5,4∗1,3 + 0,4∗1,02 ∗2+0,4∗0,35∗2+ 0,1∗2,02 ∗2 +0,25 ∗2,0∗2]∗25 = 222,5 kN/m 1

    G2 -težina asfaltnog sloja.......................................................... (10,2*0,08 *2!=1",#8 kN/m1

    G$ -težina %et.og&a'e i težina metal. 'ijela na %et.og&a'i..( )0,22 2# 2 0,$( 2 11,(! kN/m)× × + × =

    k+ no stalno o te&e enje : guk =253,82 kN/m'

    G=11, ! kN/m 2 stalno o t. e lastite te ine gla nog nosa a i asfalta ija te ina o%+3 a ena + &og&am+ a stati ki &o&a +n to4e& 5

    23 .

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    POKRETNO OPTEREĆENJE

    Lmin Lmax = 22,428,0 = 0,8

    6s&=22,4 +28,0 +28,0 +22,4

    4 = 25,2 m

    7'=1,!-0,008*6s& =1,!-0,008*2#,2=1,1"8

    fa } over {fa} *Lsr=0,5*0,35*25,2=4,41 m1

    2∗¿

    b1 r = b1 +2 d k +d-c =3,9+2*0,08+1,3-1,0 = 4,36 m

    b 3 =4,36+

    12∗fa

    fa ∗ Lsr = 4,36 +4,41 = 8,77 m >b=5,94m

    bb3 = 1

    43 .

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    - VOZILO V600

    P v=kd *2P *bb3 = 1,198*200*1,0 =238,4 kN

    - te&e enje is &e' i i a o ila V500

    Piiv = [2∗Bs∗3 +(bk − 3,0 )∗3 +(3,0∗5,0∗kd )]∗bb3 =

    [2∗1,5∗3 +(10,2 − 3 )∗3 +(3∗5,0∗1,198 )]∗1,0

    = !8,# kN/ m

    -9a nomje&no &as o'jeljeno o te&e enje o&e' o ila

    Ppv = [2∗Bs∗3 +(bk − 3,0 )]∗bb3 =

    [2∗1,5∗3 +(10,2 − 3 )∗3] *1,0 =30,6kN/m

    :;?;9;@;NA= * *BC*DN8< E

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    3.2.2. STATIČKI PRORAČUN U PROGRA,U TO- R + /A GLAVNI NOSAČ

    O&no%ni poda0i o )od l#

    Datoteka6 78AVN9 NOSA: t;pDatum proracuna6 2 "4"20 &

    Nacin proracuna6 2D mo$e) r1

    < Teori-a 9 o# re$a Mo$a)na ana)i+a Stabi)no't

    Teori-a 99 o# re$a Sei+micki proracun ?a+e #ra$-en-a

    Ne)inearan proracun

    V li0ina )od la@ro- c(oro(a6@ro- p)oca'ti e)emenata6 0@ro- #re$ni e)emenata6 .@ro- #ranicni e)emenata6 20@ro- o'no(ni ')uca-e(aopterecen-a6

    2

    @ro- kombinaci-a opterecen-a6

    dini0 ) raDu+ina6 m Bcm,mmC

    Si)a6 kNTemperatura6 :e)'iu'

    Sema ni(oaTitu))i + BmC BmC

    !" 0 !" 00"00

    Koor$inate c(oro(aNo < BmC > BmC = BmC

    0"0000 !".!00 !" 002 22"500 !".!00 0"0000

    4 22"500 !".!00 !" 00

    !3 .

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    2

    5 !0"500 !".!00 0"0000

    ! !0"500 !".!00 !" 00

    & . "500 !".!00 0"0000. . "500 !".!00 !" 00

    00" 0 !".!00 !" 00

    Tabe)a materi-a)aNo Na+i( materi-a)a EBkN3m2C BkN3m4C FtB 3:C EmBkN3m2C m

    @etoni M@ 50 4"500eG. 0"20 2!"00 "000e ! 4"500eG. 0"20

    2 @etoni M@ 40 4" !0eG. 0"20 2!"00 "000e ! 4" !0eG. 0"20

    Seto(i #re$a

    Set6 Pre'ek6 T9P T4, ?ikti(na ek'centricno't

    Mat" A A2 A4 9 92 94 @etoni M@ 50 "0H&eG0 &".5.eG0 &".5.eG0 ."..4eG0 4"!00eG "4 eG0

    Set6 2 Pre'ek6 b3$I2 03 20, ?ikti(na ek'centricno't

    220BC

    &3 .

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    Mat" A A2 A4 9 92 942 @etoni M@ 40 2"!20eG0 2" 00eG0 2" 00eG0 .". 0e H"2& e 4"025e

    Konture #re$a Set " T9P T4 O')oba$-an-e utica-a

    No :(or 9

    :(or J :(or 9 :(or J M O+n" po+ici-e

    M M2 M4 N T2 T4 M M2 M4 N T2 T4

    Konture #re$a Set 2" b3$I2 03 00 O')oba$-an-e utica-a

    No :(or 9

    :(or J :(or 9 :(or J M O+n" po+ici-e

    M M2 M4 N T2 T4 M M2 M4 N T2 T44 2

    2 ! 54 . &

    .3 .

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    9+ometri-a

    0

    1

    2

    3

    4

    0

    1

    22.4028.0028.0022.40

    Ulazni poda0i Opt r ! nj

    8i'ta ')uca-e(a opterecen-aNo Na+i(

    'ta)no #12 pokretno4 Komb"6 9G99

    Stalno $4 opt r ! nj I4

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    p=23.48

    0

    1

    2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    1 5

    . 8 0

    Po(r tno opt r ! nj II4

    p=48.57p=48.57 p=48.57p=48.57

    0

    1

    2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    1 5

    . 8 0

    Pokretno opterecen-eOpterecen-e 26 pokretno 8I m

    Tacka'to opterecen-eNo PBkNC < BmC > BmC < > =

    24 "50 5"!0 "00 0"00 0"00 "002 24 "50 4"00 "00 0"00 0"00 "004 24 "50 "!0 "00 0"00 0"00 "008ini-'ko opterecen-e

    No pBkN3mC < BmC > BmC 2BmC < > =."H. &"00 0"00 0"00 0"00 0"00 0"00 "00

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    Stati"(i prora"#n

    *tica-i o$6 Sta)no# #1 optere/en-a 91

    1 8 9 7

    . 2 0

    1 8 9 7

    . 2 0

    15.2279.36

    7 2 9 7

    . 5 9

    7 3 6 5

    . 3 2

    15.2279.36

    7 2 9 7

    . 5 9

    0 1 2 3 4

    0

    1

    22.4028.0028.0022.40

    Opt" 6 'ta)no #1

    Reakci-e o')onaca

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    -7297.59-7365.32-7297.59

    - 1 5

    . 2 2

    0

    1

    2

    3

    4

    0

    1

    22.4028.0028.0022.40

    Opt" 6 'ta)no #1

    *tica-i u #re$i6 maK N I 0"00 3 min N I ,.4&!"42 kN

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    -15.22

    -15.22

    -15.22

    -15.22

    -15.22

    15.22

    15.22

    15.22

    15.22

    15.22

    - 1 8 9 7 .

    2 0

    3 1 6 2

    . 5 1

    - 3 1 3 9

    . 6 8

    3 1 8 4

    . 9 6

    - 3 1 8 4

    . 9 6

    3 1 3 9

    . 6 8

    - 3 1 6 2

    . 5 1

    1 8 9 7

    . 2 0

    - 5 5 7

    . 8 7

    7 8 1

    . 4 7

    2 1 2 0

    . 8 0

    - 1 5 0 2

    . 7 1

    - 1 6

    3 .

    3 8

    1 1 7 5

    . 9 6

    2 5 1 5

    . 2 9

    - 2 5 1 5 . 2 9

    - 1 1 7 5

    . 9 6

    1 6 3

    . 3 8

    1 5 0 2

    . 7 1

    - 2 1 2 0 . 8 0

    - 7 8 1

    . 4 7

    5 5 7

    . 8 7

    0 1 2 3 4

    0

    1

    22.4028.0028.0022.40

    *tica-i u #re$i6 maK T2I 4 5"H& 3 min T2I ,4 5"H& kN

    -161.10

    79.36

    -80.95

    -0.79

    161.10

    -79.36

    80.95

    0.79

    7 9 6 6

    . 3 2

    - 1 4 3 3 2

    . 5 0

    7 4 8 3

    . 3 9

    - 1 4 9 6 6

    . 4 2

    7 4 8 7

    . 9 2

    - 1 4 3 3 2

    . 5 0

    7 9 6 6

    . 3 6

    7 2 7 5

    . 1 5

    6 6 0 9

    . 9 5

    -

    1 9 9 5

    . 6 0

    2 4 8 3

    . 4 9

    4 4 2 6

    . 5 1

    - 6 5 1 9

    . 8 1

    - 6 5 2 2

    . 2 1

    4 4 2 0

    . 0 0

    2 4 8 3

    . 3 6

    -

    1 9 8 9

    . 3 5

    6 6 1 2

    . 7 4

    7 2 7 7

    . 5 4

    0

    1 2

    3

    4

    0

    1

    22.4028.0028.0022.40

    Opt" 6 'ta)no #1

    *tica-i u #re$i6 ma M4I .H&&"4& 3 min M4I 5H&&"52 kNm

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    Uti0aji od5 Po(r tno$ opt r ! nja II4

    86.04

    402.87

    2 0 4 4

    . 4 3

    98.90

    493.01

    1 9 3

    . 8 2

    138.12

    778.04

    2 1 0 3

    . 6 7

    138.12

    777.91

    2 3 9

    . 4 4

    98.88

    493.11

    2 0 4 4

    . 6 1

    86.03

    402.85

    1 9 3

    . 8 4

    9 8 9

    . 5 8

    1 6 7

    . 1 3

    1 0 4 2

    . 3 0

    1 6 7

    . 1 3

    0

    1 2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    Opt" 26 pokretno

    Reakci-e o')onaca Min3Ma 1

    956.531407.241072.64

    5 0 3 4

    . 4 5

    4 1 5 5

    . 5 4

    4 6 9 3

    . 3 2

    2 0 4 2

    . 6 7

    6 4 6

    . 4 3

    3 0 6 6

    . 6 6

    4 9 5 7

    . 7 9

    3 9 5 4

    . 6 5

    9 5 1

    . 8 8

    9 5 8

    . 9 9

    3 9 6 5

    . 2 5

    3 0 7 8

    . 6 8

    6 4 6

    . 1 2

    2 0 5 4

    . 1 1

    4 7 0 2

    . 3 8

    4 1 5 1

    . 9 4

    -1072.47-1406.84-956.50

    - 5 4 3 2

    . 9 8

    - 8 1 7

    . 2 1

    - 1 5 5 0

    . 9 1

    - 2 3 2 6

    . 3 6

    - 3 7 4 2

    . 8 4

    -

    1 5 8 2

    . 1 3

    - 1 3 6 1

    . 9 8

    - 1 6 9 6

    . 7 2

    - 2 7 8 2

    . 9 3

    - 2 7 8 3

    . 8 3

    - 1 6 9 6

    . 8 5

    -

    1 3 6 7

    . 3 7

    -

    1 5 8 2

    . 3 2

    - 3 7 4 2

    . 6 3

    - 2 3 2 6

    . 4 7

    - 1 5 5 0

    . 9 8

    - 8 1 6

    . 9 1

    0

    1 2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    Opt" 26 pokretno

    *tica-i u #re$i6 ma M4I !045"5! 3 min M4I !542"H kNm

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    193.82239.44193.84

    8 6

    . 0 3

    8 6

    . 0 3

    8 6

    . 0 3

    8 6

    . 0 3

    8 6

    . 0 3

    8 6

    . 0 3

    8 6

    . 0 4

    8 6

    . 0 4

    8 6

    . 0 4

    8 6

    . 0 4

    8 6

    . 0 4

    -2044.43-2103.67-2044.61

    - 9

    8 .

    9 0

    - 9

    8 .

    8 8

    - 9

    8 .

    8 8

    - 9

    8 .

    8 8

    - 9

    8 .

    8 8

    - 9

    8 .

    8 8

    - 9

    8 .

    9 0

    - 9

    8 .

    9 0

    - 9

    8 .

    9 0

    - 9

    8 .

    9 0

    0

    1 2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    *tica-i u #re$i6 ma N I 24H"55 3 min N I 2 04"&. kN

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    86.04138.1298.88

    1 3 3 1

    . 4 6

    1 6 7

    . 1 3

    2 2 6

    . 6 5

    5 3 4

    . 6 5

    9 8 4

    . 6 0

    1 6 5

    . 6 8

    1 6 7

    . 5 1

    3 3 8

    . 6 2

    6 9 9

    . 5 0

    1 1 3 0

    . 2 4

    1 5 3

    . 9 4

    1 9 9

    . 8 9

    3 8 8

    . 7 1

    8 3 1

    . 9 9

    1 2 5 1

    . 8 4

    9 7

    . 4 4

    2 0 5

    . 0 4

    5 6 2

    . 8 6

    9 8 9

    . 5 8

    -98.90-138.12-86.03 - 1 3

    5 8

    . 6 1

    - 1 0 4 2

    . 3 0

    - 5 5 2

    . 9 2

    - 2 0 8

    . 7 9

    - 9 6

    . 5 4

    - 1 2

    6 4

    . 7 2

    -

    8 2 3

    . 4 7

    - 3 7 9

    . 9 3

    - 1 9 1

    . 8 7

    - 1 5 3

    . 6 9

    - 1 1 6 0

    . 9 3

    -

    7 3 3

    . 7 2

    - 3 2 9

    . 9 0

    - 1 8 6

    . 8 5

    - 1 6 6

    . 3 7

    - 9 7 6

    . 3 8

    - 5 2 5

    . 0 3

    - 2 2 3

    . 6 2

    - 1 6 7

    . 1 3

    0

    1 2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    Opt" 26 pokretno

    *tica-i u #re$i6 ma T2I 44 "5& 3 min T2I 4! "& kN

    Uti0aji od5 An% lopa Stalno $4 6 Po(r tno I6II4

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    70.82

    323.51

    9 3 4 2

    . 0 1

    114.12

    572.37

    7 1 0 3

    . 7 7

    138.12

    778.04

    9 4 6 8

    . 9 9

    138.12

    777.91

    7 1 2 5

    . 8 8

    114.10

    572.47

    9 3 4 2

    . 2 0

    70.82

    323.49

    7 1 0 3

    . 7 5

    2 8 8 6

    . 7 8

    1 7 3 0

    . 0 8

    2 9 3 9

    . 5 1

    1 7 3 0

    . 0 8

    0

    1

    2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    Reakci-e o')onaca Min3Ma 1

    795.431407.241233.74

    1 2 8 1 9

    . 3 7

    1 2 5 0 5

    . 4 6

    1 2 4 9 4

    . 1 0

    1 2 8 2 4

    . 3 5

    1 1 4 3 0

    . 6 9

    1 1 3 0 3

    . 2 7

    4 7

    . 0 8

    5 5 5 0

    . 1 5

    8 3 8 1

    . 1 6

    8 3 8 5

    . 2 4

    5 5 6 2

    . 0 4

    6 4

    . 7 6

    1 1 3 1 5

    . 1 2

    1 1 4 2 9

    . 4 8

    -1233.58-1406.84-795.40

    - 1 9 5 0 0

    . 3 0

    - 2 0 3 9 9

    . 4 0

    - 1 9 4 9 9

    . 2 0

    - 4 3 2 1

    . 9 6

    - 9 3 0 2

    . 7 4

    - 9 3 0 6

    . 0 4

    - 4 3 1 5

    . 8 2

    0

    1

    2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    *tica-i u #re$i6 maK M4I 2 25"4& 3 min M4I ,204HH"50 kNm

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    70.82138.12114.10

    4 4 3 9

    . 6 0

    4 5 1 6

    . 4 2

    4 4 6 7

    . 1 7

    2 8 8 6

    . 7 8

    1 3 1 6

    . 1 2

    3 1 0 5

    . 4 0

    1 7 5

    . 2 4

    1 8 7 5

    . 4 6

    3 6 4 5

    . 5 3

    5 5 2

    . 0 9

    2 3 3 4

    . 7 0

    1 1 2 0

    . 7 3

    -114.12-138.12-70.82 -

    2 9 3 9

    . 5 1

    - 4 4 9 4

    . 2 5

    - 4 5 4 3

    . 5 7

    - 4 4 6 6

    . 6 0

    - 1 1 1 0

    . 7 9

    - 2 3 2 6

    . 1 8

    - 5 4 3

    . 3 1

    - 3 6 7 6

    . 2 2

    - 1 9 0 9

    . 6 7

    - 1 6 6

    . 5 3

    - 3 0 9 7

    . 1 8

    - 1 3 0 6

    . 5 0

    0

    1

    2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    *tica-i u #re$i6 maK T2I 5! &"52 3 min T2I ,5!54"!. kN

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    7 0

    . 8 2

    -9342.01-9468.99-9342.20

    - 1 1 4

    . 1 2

    - 1 1 4

    . 1 0

    - 1 1 4

    . 1 0

    - 1 1 4

    . 1 0

    - 1 1 4

    . 1 0

    - 1 1 4

    . 1 0

    - 1 1 4

    . 1 2

    - 1 1 4

    . 1 2

    - 1 1 4

    . 1 2

    - 1 1 4

    . 1 2

    0

    1

    2

    3

    4

    0

    1

    22.40 28.00 28.00 22.40

    *tica-i u #re$i6 maK N I .0" 2 3 min N I ,H5& "HH kN

    7i) nzioni&anj 8 ton4