stubiŠte st6
TRANSCRIPT
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PRORAUN AB STUBIŠTA ST6
1. ANALIZA OPTERE#ENJA
o Vlastita težina
U stati%kom modelu krakovi stubišta modelirani su kao plo%e debljine d=20cm.
Vlastita težina krak: 7,667 kN/m2
Vlastita težina plo%e: 5,667 kN/m2
Razlika optere'enja je zadana kao površinsko optere'enje: 2 kN/m2
o Dodatno stalno optere'enje: g=2,0 kN/m2
o Korisno optere'enje: p=5,0 kN/m2
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Sadržaj
Osnovni podaci o modelu __________________________________________________________________________________________________________________ 3
Ulazni podaci
Ulazni podaci - Konstrukci ja _______________________________________________________________________________________________________ 4
Ulazni podaci - Optereenje _______________________________________________________________________________________________________ 9
Rezultati
Stati#ki prora#un _______________________________________________________________________________________________________________ 17
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Osnovni podaci o modelu
Datoteka: ST1.twp
Datum prora#una: 15.11.2011
Na#in prora#una: 3D model
X Teorija I-og reda Modalna analiza Stabilnost
Teorija II-og reda Seizmi#ki prora#un Faze gra%enja
Nelinearni prora#un
Veliina modela
Broj #vorova: 1654Broj plo#astih elemenata: 1305Broj grednih elemenata: 0Broj grani#nih elemenata: 876Broj osnovnih slu#ajeva optereenja: 3Broj kombinacija optereenja: 2
Jedinice mjera
Dužina: m [cm,mm]Sila: kNTemperatura: Celsius
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Ulazni podaci - Konstrukcija
Shema nivoaNaziv z [m] h [m]
15.12 2.44
12.68 2.52
10.16 1.96
8.20 2.20
6.00 2.76
3.24 3.24
0.00
Setovi plo#aNo d[m] e[m] Materijal Tip prora#una Ortotropi ja E2[kN/ m2] G[kN/m2] &
<1> 0.200 0.100 1 Tanka plo#a Izotropna
Setovi linijskih ležajevaSet K,R1 K,R2 K,R3 K,M1 Tlo [m]
1 1.000e+10 1.000e+10 1.000e+10
Izometrija
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0
1 .
8 0
1
5 .
1 0
2
3 .
6 0
3
0
1.55
1
1.55
2
1.40
3
H_1
H_2
H_3
Dispozicija okvira
0
1 .
8 0
1
5 .
1 0
2
3 .
6 0
3
0
3.24
1
2.76
2
2.20
3
1.96
4
2.52
5
2.44
6
Okvir: H_1 0
1 .
8 0
1
5 .
1 0
2
3 .
6 0
3
0
3.24
1
2.76
2
2.20
3
1.96
4
2.52
5
2.44
6
Okvir: H_3
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0
1 .
8 0
1
5 .
1 0
2
3 .
6 0
3
0
3.24
1
2.76
2
2.20
3
1.96
4
2.52
5
2.44
6
Okvir: H_2
0
1.55
1
1.55
2
1.40
3
Pogled: K1
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0
1.55
1
1.55
2
1.40
3
Pogled: K2
0
1.55
1
1.55
2
1.40
3
Pogled: K3
0
1.55
1
1.55
2
1.40
3
Pogled: K4
0
1.55
1
1.55
2
1.40
3
Pogled: K5
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0
1.55
1
1.55
2
1.40
3
Pogled: K6
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Ulazni podaci - Optere enje
Lista slu#ajeva optereenja
No Naziv pX [kN] pY [kN] pZ [kN]1 VLASTITA TEZINA (g) 0.00 0.00 -694.76
2 DODATNO STALNO 0.00 0.00 -179.87
3 KORISNO 0.00 0.00 -599.56
4 Komb.: I+II+III 0.00 0.00 -1474.19
5 Komb.: 1.35xI+1.35xII+ 0.00 0.00 -2080.09+1.5xIII
q = -2.00
Opt. 1: VLASTITA TEZINA (g)
Pogled: K1
q = -2.00
Opt. 1: VLASTITA TEZINA (g)
Pogled: K2
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q = -2.00
Opt. 1: VLASTITA TEZINA (g)
Pogled: K3
q = -2.00
Opt. 1: VLASTITA TEZINA (g)
Pogled: K4
q = -2.00
Opt. 1: VLASTITA TEZINA (g)
Pogled: K5
q = -2.00
Opt. 1: VLASTITA TEZINA (g)
Pogled: K6
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q = -1.50
Opt. 2: DODATNO STALNO
Nivo: [15.12 m]
q = -1.50
Opt. 2: DODATNO STALNO
Nivo: [12.68 m]
q = -1.50
Opt. 2: DODATNO STALNO
Nivo: [10.16 m]
q = -1.50
Opt. 2: DODATNO STALNO
Nivo: [8.20 m]
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q = -1.50
Opt. 2: DODATNO STALNO
Nivo: [6.00 m]
q = -1.50
Opt. 2: DODATNO STALNO
Nivo: [3.24 m]
q = -1.50
Opt. 2: DODATNO STALNO
Pogled: K1
q = -1.50
Opt. 2: DODATNO STALNO
Pogled: K2
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q = -1.50
Opt. 2: DODATNO STALNO
Pogled: K3
q = -1.50
Opt. 2: DODATNO STALNO
Pogled: K4
q = -1.50
Opt. 2: DODATNO STALNO
Pogled: K5
q = -1.50
Opt. 2: DODATNO STALNO
Pogled: K6
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q = -5.00
Opt. 3: KORISNO
Nivo: [15.12 m]
q = -5.00
Opt. 3: KORISNO
Nivo: [12.68 m]
q = -5.00
Opt. 3: KORISNO
Nivo: [10.16 m]
q = -5.00
Opt. 3: KORISNO
Nivo: [8.20 m]
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q = -5.00
Opt. 3: KORISNO
Nivo: [6.00 m]
q = -5.00
Opt. 3: KORISNO
Nivo: [3.24 m]
q = -5.00
Opt. 3: KORISNO
Pogled: K1
q = -5.00
Opt. 3: KORISNO
Pogled: K2
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q = -5.00
Opt. 3: KORISNO
Pogled: K3
q = -5.00
Opt. 3: KORISNO
Pogled: K4
q = -5.00
Opt. 3: KORISNO
Pogled: K5
q = -5.00
Opt. 3: KORISNO
Pogled: K6
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Stati # ki prora# un
80.84
80.84
1.17
2.77
1.08
1.17
9 .
0 5
1 7 .
0 3
2 5
. 0 0
3 2 .
9 8
4 0
. 9 6
4 8 .
9 4
5 6
. 9 2
6 4
. 8 9
7 2
. 8 7
7 2 .
8 7
6 4 .
8 9
5 6 .
9 2
4 0 .
9 6
4 8
. 9 4
3 2 .
9 8
1 7
. 0 3
2 5
. 0 0
9 .
0 5
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 80.84 / min Mx= 1.08 kNm/m Pogled: K1
2.73
70.35
2.43
0.6370.35
7 .
6 0
1 4
. 5 7
2 1 .
5 5
2 8 .
5 2
3 5 .
4 9
4 2
. 4 6
4 9 .
4 3
5 6 .
4 1
6 3 .
3 8
6 3 .
3 8
5 6 .
4 1
4 9 .
4 3
4 2 .
4 6
2 8 .
5 2
3 5
. 4 9
1 4 .
5 7
2 1
. 5 5
7 .
6 0
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 70.35 / min Mx= 0.63 kNm/m Pogled: K2
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36.41 1.32
0.97
36.42 0.25
1.39
3 .
8 7
7 .
4 9
1 1 .
1 0
1 4
. 7 2
1 8
. 3 4
2 1
. 9 6
2 5
. 5
8
2 9
. 1 9
3 2
. 8 1
3 2 .
8 1
2 5 .
5 8
2 9
. 1 9
1 8 .
3 4
2 1
. 9 6
1 1 .
1 0
1 4
. 7 2
3 .
8 7
7 .
4 9
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 36.42 / min Mx= 0.25 kNm/m Pogled: K3
40.65
40.66
1.24
1.071.03
1.22 1.30
1.22
4 .
9 8
8 .
9 5
1 2
. 9 1
2 0 .
8 4
2 4
. 8 0
2 8 .
7 7
3 2
. 7 3
3 6 .
7 0
3 6
. 7 0
3 2
. 7 3
2 8
. 7 7
2 0
. 8 4
2 4 .
8 0
1 2
. 9 1
1 6 .
8 8
4 .
9 8
8 .
9 5
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 40.66 / min Mx= 1.03 kNm/m Pogled: K4
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43.15
43.14
1.17
1.671.72
1.20
5 .
3 7
9 .
5 7
1 3
. 7 6
1 7
. 9 6
2 2
. 1 6
2 6
. 3 6
3 0
. 5 6
3 4
. 7 5
3 8
. 9 5
3 8 .
9 5
3 4 .
7 5
3 0 .
5 6
2 2 .
1 6
2 6
. 3 6
1 3 .
7 6
1 7
. 9 6
5 .
3 7
9 .
5 7
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 43.15 / min Mx= 1.17 kNm/m Pogled: K5
1.48
2.01
1.74
61.71
1.50
1.74
61.71
7 .
4 9
1 3
. 5 2
1 9 .
5 5
2 5 .
5 7
3 1 .
5 9
3 7
. 6 2
4 3 .
6 5
4 9 .
6 7
5 5 .
6 9
5 5
. 6 9
4 9
. 6 7
4 3
. 6 5
3 7
. 6 2
2 5
. 5 7
3 1 .
5 9
1 9 .
5 5
1 3
. 5 2
7 .
4 9
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 61.71 / min Mx= 1.48 kNm/m Pogled: K6
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-0.65
-1.26
4.30
0 .
0 0
0 .
5 4
- 0 .6 3
1 . 0 8
2 . 6 9
1 .
0 8
1. 6 1
2 .1 5
2 .
6 9
0 . 5 4
3 .
2 2
3. 7 6
0 .
5 4
0. 5 4
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 4.30 / min Mx= -1.26 kNm/m Nivo: [3.24 m]
18.44
-0.27
-0.24 -0.25
2 .
0 5
4 . 1
0
6 .1 5
8 . 2 0
1 0
. 2 4
2.05
1 4. 3 4
1 2 .2 9
0 . 0
0
2. 0 5
4. 1 0
0. 0 0
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max My= 18.44 / min My= -0.27 kNm/m Nivo: [3.24 m]
34.49
0 . 0
0
2 . 8 8
5 .
7 5
8 .
6 3
1 1 .
5 0
8 .
6 3
1 1
. 5 0
2 .
8 8
5 .
7 5
- 1 1. 7 4
- 5 .
8 7
0 .
0 0
0 .
0 0
- 5
. 8 7
-11.7 4
- 1 7 .
6 1
- 3 5
. 2 1
0 . 0
0
0 . 0
0
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 34.49 / min Mx= -82.15 kNm/m Nivo: [6.00 m]
28.11
0 .0 0
4 . 6 9
0 .0 0
0 .0 0
4 . 6 9
-9.31
-4 .6 6
0 .0 0
-18.63
- 4. 6 6
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max My= 28.11 / min My= -65.18 kNm/m Nivo: [6.00 m]
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-0.28
4.57 -0.10
-0.31
0 .
5 1
0 .
0 0
1 .
0 2
0. 5 1
0 .5 1
1 .
5 2
2 .0 3
2 . 5 4
0 .
5 1
3 .
0 5
3 .
5 5
4 .0 6
0 .
0 0
0. 5 1
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 4.57 / min Mx= -0.31 kNm/m Nivo: [8.20 m]
-0.17
7.80
-0.17
7.68
-0.42
-0.14
0 .0 0
0 .
8 7
1 .
7 4
2 .
6 0
3 .
4 7
4 .3 4
0. 0 0
5 .
2 1
3.47
3 .
4 7
1 . 7 4
4. 3 4
0. 0 0
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max My= 7.80 / min My= -0.42 kNm/m Nivo: [8.20 m]
-52.30
34.48
0 . 0
0
- 2 . 9 0
0 . 0 0
- 3 4 . 8 5
- 8 . 7
1
- 5. 8 1
- 2 .9 0
0 .
0 0
5 . 7
5
8 .
6 2
1 1
. 5 0
8 .
6 2
1 1
. 5 0
5 .
7 5
0 .
0 0
0 .
0 0
- 2 .
9 0
- 5 . 8
1
0 . 0 0
-8.71
- 1 1 . 6 2
- 3
4 .
8 5
- 8
. 7 1
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 34.48 / min Mx= -81.31 kNm/m Nivo: [10.16 m]
28.39
4 .7 3
7 .1 0
0. 0 0
7. 1 0
9 .4 6
4 . 7 3
0. 0 0 4. 7 3
-9.35
- 7. 0 1
- 4 .6 8
0. 0 0
- 1 8 . 7
1
- 7. 0 1
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max My= 28.39 / min My= -65.46 kNm/m Nivo: [10.16 m]
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-0.34
-0.15
-0.00
-0.07
4.53
0 .
5 0
0 .
0 0
1 .
0 1
0. 5 0
0 . 0 0
1 .
5 1
2 .0 2
0 .
5 0
2 . 5
2
3 .
0 3
3 . 5
3
4 .0 4
0 .
0 0
0 .0 0
0 .5 0
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 4.53 / min Mx= -0.34 kNm/m Nivo: [12.68 m]
-0.16
-0.16
8.61
9.27
-0.45
-0.11
0.00
1 .
0 3 2
. 0 6
3. 0 9
4 .
1 2
5.15
0. 0 0
6 .
1 8
4 .1 2
3 .0 9
4.1 2
5.1 5
0. 0 0
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max My= 9.27 / min My= -0.45 kNm/m Nivo: [12.68 m]
21.32
21.20
13.23
- 2 8
. 5 0
- 9
. 5 0
-4 .7 5
0 .
0 0
2 . 6 6
5 .
3 3
7 .
9 9
1 0
. 6 6
7 .
9 9
1 0
. 6
6
2 .
6 6
5 .
3 3
0. 0 0
- 4. 7 5
- 1 1
. 8 7
-9.50
- 2 8
. 5 0
0.00
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max Mx= 21.32 / min Mx= -75.99 kNm/m Nivo: [15.12 m]
22.75
-3 .9 9 0 .0 0
3. 7 9
7 .5 8
7 . 5
8
0 .0 0
-3.99
-1 9. 9 4 -
1 1
. 9 6
- 3. 9 9
Opt. 5: 1.35xI+1.35xII+1.5xIII
Utjecaji u plo#i: max My= 22.75 / min My= -55.82 kNm/m Nivo: [15.12 m]
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2. DIMENZIONIRANJE
Ø GRADIVO
· Beton: C 30/37
= =30
1,5 = 20,0 = 2,0
· elik: B 500B
= =500
1,15 = 434,78 = 43,48
Visina presjeka: h = 20 cm
Zaštitni sloj betona: c = 2 cm
Stati%ka visina presjeka: = 18
Ø Dimenzioniranje kraka K1
= 80 /
Bezdimenzionalni moment savijanja:
=! !
=8000
100 ! 18 ! 2,0 = 0,123 < , = 0,159
Za = 0,125 o%itano:
= = 0,916
= = 0,213
2 0
20
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= 10 ‰
= 2,7 ‰
Potrebna površina armature u polju:
=! !
=8000
0,916 ! 18 ! 43,48 = 11,15 /
Minimalna armatura:
, = 0,0015 ! ! = 0,0015 ! 100 ! 18 = 2,7 /
ODABRANO: / (11,3 / )
O12/10 cm
4O8
4O8
4O8
4O8
O12/10 cm4O8
4O8
O12/10 cm
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Ø Dimenzioniranje kraka K2, K6
= 70 /
Bezdimenzionalni moment savijanja:
=! !
=7000
100 ! 18 ! 2,0 = 0.108 < , = 0,159
Za = 0,110 o%itano:
= = 0,925
= = 194
= 10 ‰
= 2,4 ‰
Potrebna površina armature u polju:
=! !
=7000
0,925 ! 18 ! 43,48 = 9,66 /
Minimalna armatura:
, = 0,0015 ! ! = 0,0015 ! 100 ! 18 = 2,7 /
ODABRANO: / (11,3 / )
2 0
20
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Ø Dimenzioniranje kraka K3, K4
= 40 /
Bezdimenzionalni moment savijanja:
=! !
=4000
100 ! 18 ! 2,0 = 0.062 < , = 0,159
Za = 0,065 o%itano:
O12/10 cm
4O8
4O8
4O8
4O8
O12/10 cm
4O8
4O8
O12/10 cm
2 0
20
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= = 0,950
= = 0,138
= 10 ‰
= 1,6 ‰
Potrebna površina armature u polju:
=! !
=4000
0,950 ! 18 ! 43,48 = 5,37 /
Minimalna armatura:
, = 0,0015 ! ! = 0,0015 ! 100 ! 18 = 2,7 /
ODABRANO: / (7,52 / )
O12/15 cm
4O8
4O8
4O8
4O8
O12/15 cm
4O8
4O8
O12/15 cm
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Ø Dimenzioniranje podesta na koti 2,08 m; 7,04 m; 12,48 m
, = 5 /
, = 10 /
Bezdimenzionalni moment savijanja:
=! !
=1000
100 ! 17 ! 2,0 = 0,017 < , = 0,159
Za = 0,017 o%itano:
= = 0,977
= = 0,065
= 10 ‰
= 0,7 ‰
Potrebna površina armature u polju:
=! !
=1000
0,977 ! 17 ! 43,48 = 1,40 /
Minimalna armatura:
, = 0,0015 ! ! = 0,0015 ! 100 ! 17 = 2,55 /
ODABRANO: ± ( )
O12/( 10,15cm)
4O12
Q 335
6O14Q 335
O10/15
7/23/2019 STUBIŠTE ST6
http://slidepdf.com/reader/full/stubiste-st6 29/29
Ø Dimenzioniranje podesta na koti 4,96 m; 9,12 m; 14,08 m
, = 20 /
, = 15 /
Bezdimenzionalni moment savijanja:
=! !
=2000
100 ! 17 ! 2,0 = 0,035 < , = 0,159
Za = 0,037 o%itano:
= = 0,965
= = 0,099
= 10 ‰
= 1,1 ‰
Potrebna površina armature u polju:
=! !
=2000
0,965 ! 17 ! 43,48 = 2,80 /
Minimalna armatura:
, = 0,0015 ! ! = 0,0015 ! 100 ! 17 = 2,55 /
ODABRANO: ± ( )