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Ulazni podaci - Konstrukcija
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
Tabela materijalaNo Naziv materijala E[kN/m2] m g[kN/m3] at[1/C] Em[kN/m2] mm1 Celik 2.100e+8 0.30 78.50 1.000e-5 2.100e+8 0.30
Setovi greda
@1@Set: 1 Presek: HOP [] 300x200x8, Fiktivna ekscentricnost
3
2
20
30
0.8
[cm]
T
Mat. A1 A2 A3 I1 I2 I31 - Celik 7.524e-3 4.800e-3 3.200e-3 1.063e-4 5.042e-5 9.389e-5
@1@Set: 2 Presek: IPE 300, Fiktivna ekscentricnost
3
2
15
30
0.71
1.07
[cm]
T
Mat. A1 A2 A3 I1 I2 I31 - Celik 5.380e-3 2.567e-3 2.813e-3 2.020e-7 6.040e-6 8.360e-5
@1@Set: 3 Presek: HOP [] 180x80x4, Fiktivna ekscentricnost
3
2
8
18
0.4
[cm]
T
Mat. A1 A2 A3 I1 I2 I31 - Celik 1.975e-3 1.440e-3 6.400e-4 5.680e-6 2.228e-6 7.923e-6
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
Izometrija
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
H_1
H_2
H_3
V_1
Dispozicija ramovaPO
S S-
1
POS GN-1
Ram: H_1
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
POS
S-2
POS GN-2
Ram: H_2PO
S S-
3
POS GN-3
Ram: H_3
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
POS
S-1
POS
S-2
POS
S-3
Ram: V_1
POS
R-1
POS
R-2
POS GN-1
POS GN-2
POS GN-3
POS
R-5
POS
R-6
POS
R-3
POS
R-4
Pogled: R
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
Grede - predmer po setovima@1@Set Presek/Materijal g [kN/m3] L [m] V [m3] m [T]
1 HOP [] 300x200x8 78.500 10.500 0.079 0.632 Celik
2 IPE 300 78.500 15.075 0.081 0.649 Celik
3 HOP [] 180x80x4 78.500 30.000 0.059 0.474 Celik
Ukupno: 55.575 0.219 1.756
Rekapitulacija kolicina materijalaMaterijal g [kN/m3] V [m3] m [T]
Celik 78.500 0.219 1.756
Ulazni podaci - Opterecenje
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
Lista slucajeva opterecenjaNo Naziv1 g (g)2 w3 w+4 wb
No Naziv5 Komb.: I6 Komb.: I+II7 Komb.: I+III8 Komb.: I+IV
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
p=-0.38
p=-0.38
p=-0.38
p=-0.75p=-0.75
p=-0.38
Opt. 1: g (g)
Pogled: R
p=2.26
p=2.26
p=2.26
p=4.52p=4.52
p=2.26
Opt. 2: w
Pogled: R
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
p=-1.14
p=-1.14
p=-1.14
p=-2.29p=-2.29
p=-1.14
Opt. 3: w+
Pogled: R
p=0.
30
p=0.
30
p=0.
30
Opt. 4: wb
Ram: V_1
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
p=0.50
p=0.50
Opt. 4: wb
Pogled: R
Staticki proracun
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
Deformacija cvorova: max. |Xp|Cvor LC Xp [mm] Yp [mm] Zp [mm]11 7 -12.084 0.000 7.8989 7 -11.286 0.000 -0.0798 7 -10.246 0.000 -10.493
11 6 9.739 0.000 -6.6319 6 9.069 0.000 0.071
Cvor LC Xp [mm] Yp [mm] Zp [mm]8 6 8.164 0.000 9.1135 7 -7.655 0.000 -36.4116 7 -7.150 0.000 4.699
15 7 -7.150 0.000 4.6994 7 -6.675 0.000 -0.043
Deformacija cvorova: max. |Yp|Cvor LC Xp [mm] Yp [mm] Zp [mm]10 8 -1.992 12.127 -8.5131 8 -1.992 12.127 -8.5135 8 -3.110 12.125 -13.4523 8 -2.595 4.811 -2.477
13 8 -2.595 4.811 -2.477
Cvor LC Xp [mm] Yp [mm] Zp [mm]8 8 -4.064 4.805 -3.9094 8 -2.840 2.727 -0.018
14 8 -2.840 2.727 -0.0189 8 -4.451 2.650 -0.029
15 8 -3.037 1.855 1.948
Deformacija cvorova: max. |Zp|Cvor LC Xp [mm] Yp [mm] Zp [mm]
5 7 -7.655 0.000 -36.4115 6 5.878 0.000 31.9621 7 -4.559 0.000 -21.218
10 7 -4.559 0.000 -21.2181 6 3.086 0.000 16.617
Cvor LC Xp [mm] Yp [mm] Zp [mm]10 6 3.086 0.000 16.6175 8 -3.110 12.125 -13.4525 5 -3.110 0.000 -13.4528 7 -10.246 0.000 -10.4938 6 8.164 0.000 9.113
Presecne sile u gredama - Ekstremne vrednosti - Opterecenje: 5-8Oznaka LC x [m] N1 [kN] T2 [kN] M2 [kNm] M3 [kNm]
POS S-2 (9 - 7) 7 3.500 |-36.802| -2.275 0.000 -33.744POS S-2 (9 - 7) 6 0.000 |33.015| 4.500 0.000 39.826POS S-1 (4 - 2) 7 3.500 |-20.496| -1.138 0.000 -20.195POS S-3 (14 - 12) 7 3.500 |-20.496| -1.138 0.000 -20.195POS S-1 (4 - 2) 6 0.000 |15.446| 2.250 0.000 20.592POS S-3 (14 - 12) 6 0.000 |15.446| 2.250 0.000 20.592POS S-2 (9 - 7) 8 3.500 |-14.052| 0.000 7.360 -14.329POS S-2 (9 - 7) 5 3.500 |-14.052| 0.000 0.000 -14.329POS S-1 (4 - 2) 8 3.500 |-9.121| 0.000 7.556 -9.143POS S-3 (14 - 12) 8 3.500 |-9.121| 0.000 7.556 -9.143POS GN-2 (5 - 11) 7 3.769 0.875 |25.899| 0.000 -53.006POS GN-2 (5 - 11) 6 2.512 0.822 |-25.695| 0.000 18.879POS GN-1 (1 - 6) 7 3.769 0.517 |13.741| 0.000 -29.529POS GN-3 (10 - 15) 7 3.769 0.517 |13.741| 0.000 -29.529POS GN-1 (1 - 6) 6 2.512 0.464 |-12.319| 0.000 10.328POS GN-3 (10 - 15) 6 2.512 0.464 |-12.319| 0.000 10.328POS R-4 (8 - 13) 6 0.000 0.000 |8.978| 0.000 0.000POS R-3 (3 - 8) 6 0.000 0.000 |8.978| 0.000 0.000POS GN-2 (5 - 11) 7 3.769 -0.317 |-8.890| 0.000 -11.299POS GN-2 (5 - 11) 8 3.769 0.875 |8.751| 2.495 -18.140POS S-1 (4 - 2) 8 3.500 -9.121 0.000 |7.556| -9.143POS S-3 (14 - 12) 8 3.500 -9.121 0.000 |7.556| -9.143POS S-2 (9 - 7) 8 3.500 -14.052 0.000 |7.360| -14.329POS GN-2 (5 - 11) 8 3.769 0.875 8.751 |2.495| -18.140POS GN-1 (1 - 6) 8 3.769 0.517 5.168 |2.303| -11.060POS GN-3 (10 - 15) 8 3.769 0.517 5.168 |2.303| -11.060POS R-4 (8 - 13) 6 2.500 0.000 0.000 |-1.406| -11.223POS R-3 (3 - 8) 6 2.500 0.000 0.000 |-1.406| -11.223POS R-4 (8 - 13) 7 2.500 0.000 0.000 |0.711| 9.949POS R-3 (3 - 8) 7 2.500 0.000 0.000 |0.711| 9.949POS GN-2 (5 - 11) 7 3.769 0.875 25.899 0.000 |-53.006|POS GN-2 (5 - 11) 6 3.769 0.875 -25.167 0.000 |50.826|POS S-2 (9 - 7) 7 0.000 -34.735 -2.275 0.000 |-41.707|POS S-2 (9 - 7) 6 0.000 33.015 4.500 0.000 |39.826|POS GN-1 (1 - 6) 7 3.769 0.517 13.741 0.000 |-29.529|POS GN-3 (10 - 15) 7 3.769 0.517 13.741 0.000 |-29.529|POS GN-1 (1 - 6) 6 3.769 0.517 -11.792 0.000 |25.473|POS GN-3 (10 - 15) 6 3.769 0.517 -11.792 0.000 |25.473|POS S-1 (4 - 2) 7 0.000 -18.429 -1.138 0.000 |-24.176|POS S-3 (14 - 12) 7 0.000 -18.429 -1.138 0.000 |-24.176|
Deformacija greda L.K.S. - Ekstremne vrednosti - Opterecenje: 5-8
Oznaka LC x [m] u2 [mm]POS R-1 (1 - 5) 7 3.500 |-38.400|POS R-2 (5 - 10) 7 1.500 |-38.400|POS GN-2 (5 - 11) 7 0.000 |-35.468|POS R-1 (1 - 5) 6 3.500 |34.096|POS R-2 (5 - 10) 6 1.500 |34.096|POS GN-2 (5 - 11) 6 0.000 |31.218|POS R-4 (8 - 13) 6 2.500 |24.380|POS R-3 (3 - 8) 6 2.500 |24.380|POS R-4 (8 - 13) 7 2.500 |-23.787|POS R-3 (3 - 8) 7 2.500 |-23.787|
Deformacija greda GLO - Ekstremne vrednosti - Opterecenje: 5-8Oznaka LC x [m] Zp [mm]
POS R-1 (1 - 5) 7 3.500 |-38.400|POS R-2 (5 - 10) 7 1.500 |-38.400|POS GN-2 (5 - 11) 7 0.000 |-36.411|POS R-1 (1 - 5) 6 3.500 |34.096|POS R-2 (5 - 10) 6 1.500 |34.096|POS GN-2 (5 - 11) 6 0.000 |31.962|POS R-4 (8 - 13) 6 2.500 |24.380|POS R-3 (3 - 8) 6 2.500 |24.380|POS R-3 (3 - 8) 7 2.500 |-23.787|POS R-4 (8 - 13) 7 2.500 |-23.787|
Uticaji u tackastim osloncima - Ekstremne vrednosti - Opterecenje: 5-8Oznaka LC R1 [kN] R2 [kN] R3 [kN] M1 [kNm] M2 [kNm] M3 [kNm]
7 7 -2.275 0.000 |36.802| 0.000 33.744 0.0007 6 4.500 0.000 |-30.948| 0.000 -24.076 0.00012 7 -1.138 0.000 |20.496| 0.000 20.195 0.0002 7 -1.138 0.000 |20.496| 0.000 20.195 0.0007 8 0.000 -2.688 |14.052| 7.360 14.329 2.124
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
Uticaji u tackastim osloncima - Ekstremne vrednosti - Opterecenje: 5-8Oznaka LC R1 [kN] R2 [kN] R3 [kN] M1 [kNm] M2 [kNm] M3 [kNm]
7 5 0.000 0.000 |14.052| 0.000 14.329 0.00012 6 2.250 0.000 |-13.379| 0.000 -12.717 0.0002 6 2.250 0.000 |-13.379| 0.000 -12.717 0.00012 8 0.000 -2.743 |9.121| 7.556 9.143 2.07912 5 0.000 0.000 |9.121| 0.000 9.143 0.000
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
50.83
39.83
-53.01
-41.71
Opt. 9: [Anv] 5-8
Uticaji u gredi: max M3= 50.83 / min M3= -53.01 kNm Ram: H_2
25.90
4.50
-25.69
-2.28
Opt. 9: [Anv] 5-8
Uticaji u gredi: max T2= 25.90 / min T2= -25.69 kN Ram: H_2
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
0.88
33.01
-0.32
-36.80
Opt. 9: [Anv] 5-8
Uticaji u gredi: max N1= 33.01 / min N1= -36.80 kN Ram: H_2
5.22 9.95
9.95 5.22
25.
47
5.22
5.22
50.
83
25.
47
-5.37 -11.22
-11.22 -5.37
-29
.53
-5.37
-5.37
-53
.01
-29
.53
Opt. 9: [Anv] 5-8
Uticaji u gredi: max M3= 50.83 / min M3= -53.01 kNm Pogled: R
Dimenzionisanje (celik)
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
POS R-4 (13-8)POPRENI PRESEK : HOP [] 180x80x4@2@JUS
GEOMETRIJSKE KARAKTERISTIKE PRESEKA
z
y
8 0
18
0
4
[m m ]
T
Ax = 19.750 cm2 Ay = 14.400 cm2 Az = 6.400 cm2 Iz = 792.32 cm4 Iy = 222.85 cm4 Ix = 567.99 cm4 Wz = 88.036 cm3 Wy = 55.712 cm3
FAKTORI ISKORIENJA PO KOMBINACIJAMA OPTEREENJA 6. =0.95 7. =0.78 8. =0.20 5. =0.20
KONTROLA DEFORMACIJA
Maksimalni ugib tapa u = 24.323 mm(sluaj optereenja 6, na 240.0 cm od poetka tapa)
SLUAJ OPTEREENJA: 6FAKTOR SIGURNOSTI : 1.50DOPUTENI NAPON : 16.00MERODAVNI UTICAJI (na 240.0 cm od poetka tapa)
Momenat savijanja oko z ose Mz = -11.133 kNmMomenat savijanja oko y ose My = -1.395 kNmTransverzalna sila u z pravcu Tz = -0.045 kNTransverzalna sila u y pravcu Ty = 0.359 kNSistemska duina tapa L = 500.00 cm
TAP IZLOEN SAVIJANJU
Normalni napon s_max = 15.150 kN/cm2Doputeni napon s_dop = 16.000 kN/cm2
Kontrola napona: s_max
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
POS S-2 (7-9)POPRENI PRESEK : HOP [] 300x200x8@2@JUS
GEOMETRIJSKE KARAKTERISTIKE PRESEKA
z
y
2 00
30
0
8
[m m ]
T
Ax = 75.240 cm2 Ay = 48.000 cm2 Az = 32.000 cm2 Iz = 9389.3 cm4 Iy = 5041.7 cm4 Ix = 10627 cm4 Wz = 625.95 cm3
FAKTORI ISKORIENJA PO KOMBINACIJAMA OPTEREENJA 7. =0.46 6. =0.42 8. =0.27 5. =0.17
KONTROLA DEFORMACIJA
Maksimalni ugib tapa u = 11.286 mm(sluaj optereenja 7, poetak tapa)
SLUAJ OPTEREENJA: 7FAKTOR SIGURNOSTI : 1.50DOPUTENI NAPON : 16.00MERODAVNI UTICAJI (poetak tapa)
Raunska normalna sila N = -34.735 kNMomenat savijanja oko z ose Mz = -41.707 kNmTransverzalna sila u y pravcu Ty = -2.275 kNSistemska duina tapa L = 350.00 cmDuina izvijanja oko z ose li,z = 350.00 cmDuina izvijanja oko y ose li,y = 350.00 cmKriva izvijanja za z osu CKriva izvijanja za y osu C
TAP IZLOEN PRITISKU I SAVIJANJU
KONTROLA STAB.PRI EKSC. PRITISKU JUS U.E7.096
Poluprenik inercije i,z = 11.171 cmPoluprenik inercije i,y = 8.186 cmVitkost lz = 31.331Vitkost ly = 42.757Relativna vitkost l'z = 0.337Relativna vitkost l'y = 0.460Relativni napon s' = 0.029Koef.zavisan od oblika Mz b = 1.016Bezdimenzionalni koeficijent k,z = 0.930Bezdimenzionalni koeficijent k,y = 0.865Koeficijent poveanja uticaja Kmz = 1.019Koeficijent poveanja uticaja Kmy = 1.000Uticaj ukupne imperfekc. tapa Knz = 1.067Uticaj ukupne imperfekc. tapa Kny = 1.128Odnos h / b = 1.500
Tower - 3D Model Builder 6.0 Radimpex - www.radimpex.rsRegistered to inge
POS GN-2 (11-5)POPRENI PRESEK : IPE 300@2@JUS
GEOMETRIJSKE KARAKTERISTIKE PRESEKA
z
y
1 50
30
0
7 .11
0.7
[m m ]
T
Ax = 53.800 cm2 Ay = 25.670 cm2 Az = 28.130 cm2 Iz = 8360.0 cm4 Iy = 604.00 cm4 Ix = 20.200 cm4 Wz = 557.33 cm3
FAKTORI ISKORIENJA PO KOMBINACIJAMA OPTEREENJA 7. =0.75 6. =0.71 8. =0.48 5. =0.25
KONTROLA DEFORMACIJA
Maksimalni ugib tapa u = 35.468 mm(sluaj optereenja 7, poetak tapa)
SLUAJ OPTEREENJA: 7FAKTOR SIGURNOSTI : 1.50DOPUTENI NAPON : 16.00MERODAVNI UTICAJI (na 376.9 cm od poetka tapa)
Raunska normalna sila N = 0.875 kNMomenat savijanja oko z ose Mz = -53.006 kNmTransverzalna sila u y pravcu Ty = 25.899 kNSistemska duina tapa L = 502.49 cm
TAP IZLOEN ZATEZANJU I SAVIJANJU
Normalni napon s_max = 9.527 kN/cm2Doputeni napon s_dop = 16.000 kN/cm2
Kontrola napona: s_max