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8/19/2019 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,$( 2 11,(! kN/m)× × + × =
k+ no stalno o te&e enje : guk =253,82 kN/m'
G=11, ! kN/m 2 stalno o t. e lastite te ine gla nog nosa a i asfalta ija te ina o%+3 a ena + &og&am+ a stati ki &o&a +n to4e& 5
23 .
8/19/2019 Glavni Nosac Almir
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POKRETNO OPTEREĆENJE
Lmin Lmax = 22,428,0 = 0,8
6s&=22,4 +28,0 +28,0 +22,4
4 = 25,2 m
7'=1,!-0,008*6s& =1,!-0,008*2#,2=1,1"8
fa } over {fa} *Lsr=0,5*0,35*25,2=4,41 m1
2∗¿
b1 r = b1 +2 d k +d-c =3,9+2*0,08+1,3-1,0 = 4,36 m
b 3 =4,36+
12∗fa
fa ∗ Lsr = 4,36 +4,41 = 8,77 m >b=5,94m
→
bb3 = 1
43 .
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- VOZILO V600
P v=kd *2P *bb3 = 1,198*200*1,0 =238,4 kN
- te&e enje is &e' i i a o ila V500
Piiv = [2∗Bs∗3 +(bk − 3,0 )∗3 +(3,0∗5,0∗kd )]∗bb3 =
[2∗1,5∗3 +(10,2 − 3 )∗3 +(3∗5,0∗1,198 )]∗1,0
= !8,# kN/ m
-9a nomje&no &as o'jeljeno o te&e enje o&e' o ila
Ppv = [2∗Bs∗3 +(bk − 3,0 )]∗bb3 =
[2∗1,5∗3 +(10,2 − 3 )∗3] *1,0 =30,6kN/m
:;?;9;@;NA= * *BC*DN8< E
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3.2.2. STATIČKI PRORAČUN U PROGRA,U TO- R + /A GLAVNI NOSAČ
O&no%ni poda0i o )od l#
Datoteka6 78AVN9 NOSA: t;pDatum proracuna6 2 "4"20 &
Nacin proracuna6 2D mo$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 .
8/19/2019 Glavni Nosac Almir
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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
8/19/2019 Glavni Nosac Almir
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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
8/19/2019 Glavni Nosac Almir
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Stati"(i prora"#n
*tica-i o$6 Sta)no# #1 optere/en-a 91
1 8 9 7
. 2 0
1 8 9 7
. 2 0
15.2279.36
7 2 9 7
. 5 9
7 3 6 5
. 3 2
15.2279.36
7 2 9 7
. 5 9
0 1 2 3 4
0
1
22.4028.0028.0022.40
Opt" 6 'ta)no #1
Reakci-e o')onaca
8/19/2019 Glavni Nosac Almir
11/17
-7297.59-7365.32-7297.59
- 1 5
. 2 2
0
1
2
3
4
0
1
22.4028.0028.0022.40
Opt" 6 'ta)no #1
*tica-i u #re$i6 maK N I 0"00 3 min N I ,.4&!"42 kN
8/19/2019 Glavni Nosac Almir
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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
8/19/2019 Glavni Nosac Almir
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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$i6 ma M4I !045"5! 3 min M4I !542"H kNm
8/19/2019 Glavni Nosac Almir
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193.82239.44193.84
8 6
. 0 3
8 6
. 0 3
8 6
. 0 3
8 6
. 0 3
8 6
. 0 3
8 6
. 0 3
8 6
. 0 4
8 6
. 0 4
8 6
. 0 4
8 6
. 0 4
8 6
. 0 4
-2044.43-2103.67-2044.61
- 9
8 .
9 0
- 9
8 .
8 8
- 9
8 .
8 8
- 9
8 .
8 8
- 9
8 .
8 8
- 9
8 .
8 8
- 9
8 .
9 0
- 9
8 .
9 0
- 9
8 .
9 0
- 9
8 .
9 0
0
1 2
3
4
0
1
22.40 28.00 28.00 22.40
*tica-i u #re$i6 ma N I 24H"55 3 min N I 2 04"&. kN
8/19/2019 Glavni Nosac Almir
15/17
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 $4 6 Po(r tno I6II4
8/19/2019 Glavni Nosac Almir
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70.82
323.51
9 3 4 2
. 0 1
114.12
572.37
7 1 0 3
. 7 7
138.12
778.04
9 4 6 8
. 9 9
138.12
777.91
7 1 2 5
. 8 8
114.10
572.47
9 3 4 2
. 2 0
70.82
323.49
7 1 0 3
. 7 5
2 8 8 6
. 7 8
1 7 3 0
. 0 8
2 9 3 9
. 5 1
1 7 3 0
. 0 8
0
1
2
3
4
0
1
22.40 28.00 28.00 22.40
Reakci-e o')onaca Min3Ma 1
795.431407.241233.74
1 2 8 1 9
. 3 7
1 2 5 0 5
. 4 6
1 2 4 9 4
. 1 0
1 2 8 2 4
. 3 5
1 1 4 3 0
. 6 9
1 1 3 0 3
. 2 7
4 7
. 0 8
5 5 5 0
. 1 5
8 3 8 1
. 1 6
8 3 8 5
. 2 4
5 5 6 2
. 0 4
6 4
. 7 6
1 1 3 1 5
. 1 2
1 1 4 2 9
. 4 8
-1233.58-1406.84-795.40
- 1 9 5 0 0
. 3 0
- 2 0 3 9 9
. 4 0
- 1 9 4 9 9
. 2 0
- 4 3 2 1
. 9 6
- 9 3 0 2
. 7 4
- 9 3 0 6
. 0 4
- 4 3 1 5
. 8 2
0
1
2
3
4
0
1
22.40 28.00 28.00 22.40
*tica-i u #re$i6 maK M4I 2 25"4& 3 min M4I ,204HH"50 kNm
8/19/2019 Glavni Nosac Almir
17/17
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