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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs Sadrzaj Osnovni podaci o modelu __________________________________________________________________________________________________________________________ 2 Ulazni podaci Ulazni podaci - Konstrukcija _______________________________________________________________________________________________________________ 3 Ulazni podaci - Opterecenje ______________________________________________________________________________________________________________ 10 Rezultati Modalna analiza _______________________________________________________________________________________________________________________ 14 Seizmicki proracun _____________________________________________________________________________________________________________________ 15 Staticki proracun _______________________________________________________________________________________________________________________ 16 Dimenzionisanje (beton) _________________________________________________________________________________________________________________ 18

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Page 1: pbab seizmicki proracun

Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Sadrzaj Osnovni podaci o modelu __________________________________________________________________________________________________________________________ 2 Ulazni podaci

Ulazni podaci - Konstrukcija _______________________________________________________________________________________________________________ 3 Ulazni podaci - Opterecenje ______________________________________________________________________________________________________________ 10

Rezultati

Modalna analiza _______________________________________________________________________________________________________________________ 14 Seizmicki proracun _____________________________________________________________________________________________________________________ 15 Staticki proracun _______________________________________________________________________________________________________________________ 16 Dimenzionisanje (beton) _________________________________________________________________________________________________________________ 18

Page 2: pbab seizmicki proracun

Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Osnovni podaci o modelu Datoteka: pbab.twp Datum proracuna: 15.6.2012

Nacin proracuna: 3D model

X Teorija I-og reda X Modalna analiza Stabilnost

Teorija II-og reda X Seizmicki proracun Faze gradjenja

Nelinearan proracun

Velicina modela Broj cvorova: 7975 Broj plocastih elemenata: 7488 Broj grednih elemenata: 1688 Broj granicnih elemenata: 280 Broj osnovnih slucajeva opterecenja: 4 Broj kombinacija opterecenja: 20

Jedinice mera Duzina: m [cm,mm] Sila: kN Temperatura: Celsius

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Ulazni podaci - Konstrukcija

Sema nivoa Titulli z [m] h [m]

8 24.00 3.00

7 21.00 3.00

6 18.00 3.00

5 15.00 3.00

4 12.00 3.00

3 9.00 3.00

2 6.00 3.00

1 3.00 3.00

Temelji 0.00

Konture ploca No Konturni cvorovi Sklop @1@

Set

1 1065-2757-1339-2174-3757-4752-1635-3482- Nivo: 1 [3.00 m] 1 1927-2-1065

2 1791-3721-2138-3101-4721-5653-2501-4457- Nivo: 2 [6.00 m] 1 2838-24-1791

3 2686-4685-3065-4073-5622-6455-3458-5383- Nivo: 3 [9.00 m] 1 3809-103-2686

4 3650-5586-4037-5020-6424-7122-4432-6222- Nivo: 4 [12.00 m] 1 4773-276-3650

5 4620-6394-4984-5892-7097-7608-5358-6938- Nivo: 5 [15.00 m] 1 5674-577-4620

6 5533-7073-5858-6655-7589-7861-6197-7491- Nivo: 6 [18.00 m] 1 6476-1060-5533

7 6353-7574-6627-7277-7848-7954-6913-7809- Nivo: 7 [21.00 m] 1 7143-1786-6353

8 7044-7841-7255-7690-7947-7975-7470-7936- Nivo: 8 [24.00 m] 1 7623-2681-7044

9 1371-764-1339-2174-1371 Ram: H_3 2

10 2174-1339-2138-3101-2174 Ram: H_3 2

11 3101-2138-3065-4073-3101 Ram: H_3 2

12 4073-3065-4037-5020-4073 Ram: H_3 2

13 5020-4037-4984-5892-5020 Ram: H_3 2

14 5892-4984-5858-6655-5892 Ram: H_3 2

15 6655-5858-6627-7277-6655 Ram: H_3 2

16 7277-6627-7255-7690-7277 Ram: H_3 2

17 4037-5586-6394-4984-4037 Ram: V_2 2

18 2138-3721-4685-3065-2138 Ram: V_2 2

19 4984-6394-7073-5858-4984 Ram: V_2 2

20 1339-2757-3721-2138-1339 Ram: V_2 2

21 5858-7073-7574-6627-5858 Ram: V_2 2

22 3065-4685-5586-4037-3065 Ram: V_2 2

23 6627-7574-7841-7255-6627 Ram: V_2 2

24 764-1862-2757-1339-764 Ram: V_2 2

25 5622-4073-5020-6424-5622 Ram: V_3 2

26 7097-5892-6655-7589-7097 Ram: V_3 2

27 4721-3101-4073-5622-4721 Ram: V_3 2

28 2793-1371-2174-3757-2793 Ram: V_3 2

29 7589-6655-7277-7848-7589 Ram: V_3 2

30 6424-5020-5892-7097-6424 Ram: V_3 2

31 3757-2174-3101-4721-3757 Ram: V_3 2

32 7848-7277-7690-7947-7848 Ram: V_3 2

Konture greda @1@Set 1. b/d=25/50 Oslobadjanje uticaja

No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije

M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T3

1 2 70

2 24 207

3 70 364

4 70 502

5 103 462

6 123 2

7 207 716

8 207 925

9 276 873

10 308 24

11 364 1065

12 364 1339

13 462 1281

14 462 1581

15 502 123

16 502 1635

17 577 1521

18 622 103

19 642 123

20 716 1791

21 716 2138

22 873 2076

23 873 2434

24 925 308

25 925 2501

26 1060 2372

27 1065 2757

28 1116 276

29 1157 308

30 1281 2686

31 1281 3065

32 1339 502

33 1521 3003

34 1521 3384

35 1581 622

36 1581 3458

37 1635 642

38 1635 3482

39 1786 3322

40 1791 3721

41 1848 577

42 1908 622

43 1927 642

44 2076 3650

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

45 2076 4037

46 2138 925

47 2174 3137

48 2372 3977

49 2372 4356

50 2434 1116

51 2434 4432

52 2501 1157

53 2501 4457

54 2681 4298

55 2686 4685

56 2743 1060

57 2757 3757

58 2814 1116

59 2838 1157

60 3003 4620

61 3003 4984

62 3065 1581

63 3101 4113

64 3137 1635

65 3322 4932

66 3322 5282

67 3384 1848

68 3384 5358

69 3458 1908

70 3458 5383

71 3482 1927

72 3650 5586

73 3707 1786

74 3721 4721

75 3757 4752

76 3783 1848

77 3809 1908

78 3977 5533

79 3977 5858

80 4037 2434

81 4073 5060

82 4113 2501

83 4298 5818

84 4298 6125

85 4356 2743

86 4356 6197

87 4432 2814

88 4432 6222

89 4457 2838

90 4620 6394

91 4671 2681

92 4685 5622

93 4721 5653

94 4747 2743

95 4752 3137

96 4773 2814

97 4932 6353

98 4932 6627

99 4984 3384

100 5020 5932

101 5060 3458

102 5282 3707

103 5282 6913

104 5358 3783

105 5358 6938

106 5383 3809

107 5533 7073

108 5586 6424

109 5622 6455

110 5648 3707

111 5653 4113

112 5674 3783

113 5818 7044

114 5818 7255

115 5858 4356

116 5892 6693

117 5932 4432

118 6125 4671

119 6125 7470

120 6197 4747

121 6197 7491

122 6222 4773

123 6353 7574

124 6394 7097

125 6424 7122

126 6450 4671

127 6455 5060

128 6476 4747

129 6627 5282

130 6655 7309

131 6693 5358

132 6913 5648

133 6913 7809

134 6938 5674

135 7044 7841

136 7073 7589

137 7097 7608

138 7122 5932

139 7143 5648

140 7255 6125

141 7277 7716

142 7309 6197

143 7470 6450

144 7470 7936

145 7491 6476

146 7574 7848

147 7589 7861

148 7608 6693

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

149 7623 6450

150 7690 7903

151 7716 6913

152 7809 7143

153 7841 7947

154 7848 7954

155 7861 7309

156 7903 7470

157 7936 7623

158 7947 7975

159 7954 7716

160 7975 7903

Konture greda @1@Set 2. b/d=60/60 Oslobadjanje uticaja

No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije

M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T3

1 2 1

2 24 2

3 70 13

4 103 24

5 123 32

6 207 70

7 308 123

8 364 151

9 462 207

10 502 235

11 622 308

12 642 316

13 716 364

14 873 462

15 925 502

16 1065 582

17 1116 622

18 1157 642

19 1281 716

20 1521 873

21 1581 925

22 1635 958

23 1791 1065

24 1848 1116

25 1908 1157

26 1927 1165

27 2076 1281

28 2372 1521

29 2434 1581

30 2501 1635

31 2686 1791

32 2743 1848

33 2814 1908

34 2838 1927

35 3003 2076

36 3137 2201

37 3322 2372

38 3384 2434

39 3458 2501

40 3482 2524

41 3707 2743

42 3783 2814

43 3809 2838

44 3977 3003

45 4113 3137

46 4298 3322

47 4356 3384

48 4432 3458

49 4457 3482

50 4671 3707

51 4747 3783

52 4752 3788

53 4932 3977

54 5060 4113

55 5282 4356

56 5358 4432

57 5383 4457

58 5648 4747

59 5653 4752

60 5818 4932

61 5932 5060

62 6125 5282

63 6197 5358

64 6450 5648

65 6455 5653

66 6693 5932

67 6913 6197

68 7309 6693

69 7470 6913

70 7716 7309

71 7903 7716

Konture greda @1@Set 3. b/d=60/40 Oslobadjanje uticaja

No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije

M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T3

1 276 103

2 577 276

3 1060 577

4 1786 1060

5 2681 1786

6 3650 2686

7 4620 3650

8 4773 3809

9 5533 4620

10 5674 4773

11 6222 5383

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

12 6353 5533

13 6476 5674

14 6938 6222

15 7044 6353

16 7143 6476

17 7491 6938

18 7623 7143

19 7809 7491

20 7936 7809

Konture greda @1@Set 4. b/d=40/60 Oslobadjanje uticaja

No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije

M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T3

1 7122 6455

2 7608 7122

3 7861 7608

4 7954 7861

5 7975 7954

Konture linijskih oslonaca No Konturni cvorovi @1@

Set

1 1371-2793 1

2 764-1371 1

3 1862-764 1

Konture tackastih oslonaca Cvorovi @1@

Set

1, 13, 32, 151, 235, 316, 582, 958, 1165, 2201, 1 2524, 3788

H_4

V_5

H_1

V_1

H_2

V_4

V_2

H_3V_3

Dispozicija ramova

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Page 8: pbab seizmicki proracun

Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Ulazni podaci - Opterecenje

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Page 14: pbab seizmicki proracun

Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Modalna analiza

Faktori opterecenja za proracun masa No Titulli Koeficienti

1 Stalno (g) 1.00

2 Pokretno 0.50

Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T/m2

8 24.00 7.35 6.57 240.60 1.23

7 21.00 7.38 6.69 264.77 1.36

6 18.00 7.38 6.69 264.77 1.36

5 15.00 7.38 6.69 264.77 1.36

4 12.00 7.38 6.69 264.77 1.36

3 9.00 7.40 6.69 267.06 1.37

2 6.00 7.42 6.70 269.36 1.38

1 3.00 7.42 6.70 269.36 1.38

Temelji 0.00 7.83 7.87 26.46

Ukupno: 13.17 7.39 6.69 2131.92

Polozaj centara krutosti po visini objekta Nivo Z [m] X [m] Y [m]

8 24.00 7.50 9.13

7 21.00 7.50 9.13

6 18.00 7.50 9.13

5 15.00 7.50 9.13

4 12.00 7.50 9.13

3 9.00 7.51 9.12

2 6.00 7.52 9.11

1 3.00 7.52 9.11

Temelji 0.00 7.52 9.11

Ekscentricitet po visini objekta Nivo Z [m] eox [m] eoy [m]

8 24.00 0.15 2.56

7 21.00 0.12 2.44

6 18.00 0.12 2.44

5 15.00 0.12 2.44

4 12.00 0.12 2.44

3 9.00 0.11 2.43

2 6.00 0.10 2.41

1 3.00 0.10 2.41

Temelji 0.00 0.32 1.24

Periodi oscilovanja konstrukcije No T [s] f [Hz]

1 0.7852 1.2735

2 0.6027 1.6593

3 0.5339 1.8731

Page 15: pbab seizmicki proracun

Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Seizmicki proracun Seizmicki proracun: JUS (Multi modalna analiza) Kategorija tla: I Seizmicka zona: VIII (Ks = 0.050) Vrsta konstrukcije: 1 Koeficijent prigusenja: 0.05

Ugao dejstva zemljotresa: Titulli Kx Ky Kz

sx 1.000 0.000 0.000

sy 0.000 1.000 0.000

sx

Ton 1 Ton 2 Ton 3

Nivo Z [m] Px [kN] Py [kN] Pz [kN] Px [kN] Py [kN] Pz [kN] Px [kN] Py [kN] Pz [kN]

8 24.00 17.63 -1.08 0.05 183.05 -4.00 0.68 0.13 5.68 0.04

7 21.00 17.17 -0.93 0.05 178.79 -3.83 0.74 0.13 5.33 0.05

6 18.00 15.39 -0.85 0.05 152.13 -3.01 0.74 0.11 4.37 0.05

5 15.00 13.06 -0.73 0.06 123.17 -2.24 0.72 0.09 3.40 0.04

4 12.00 10.34 -0.59 0.06 92.98 -1.54 0.67 0.07 2.45 0.04

3 9.00 7.43 -0.40 0.05 63.55 -0.97 0.59 0.04 1.58 0.03

2 6.00 4.47 -0.20 0.05 36.07 -0.53 0.44 0.03 0.83 0.03

1 3.00 1.63 -0.08 0.03 12.73 -0.15 0.20 0.01 0.27 0.01

Temelji 0.00 -0.00 -0.00 -0.00 0.05 -0.00 0.00 0.00 0.00 -0.00

Σ= 87.11 -4.86 0.40 842.51 -16.28 4.77 0.60 23.91 0.30

Svi tonovi

Nivo Z [m] Px [kN] Py [kN] Pz [kN]

8 24.00 200.81 0.60 0.78

7 21.00 196.08 0.58 0.84

6 18.00 167.62 0.51 0.84

5 15.00 136.32 0.42 0.82

4 12.00 103.38 0.32 0.77

3 9.00 71.02 0.21 0.67

2 6.00 40.56 0.11 0.51

1 3.00 14.37 0.03 0.25

Temelji 0.00 0.04 0.00 0.00

Σ= 930.22 2.78 5.47

sy

Ton 1 Ton 2 Ton 3

Nivo Z [m] Px [kN] Py [kN] Pz [kN] Px [kN] Py [kN] Pz [kN] Px [kN] Py [kN] Pz [kN]

8 24.00 -0.98 0.06 -0.00 -3.54 0.08 -0.01 5.26 227.56 1.73

7 21.00 -0.96 0.05 -0.00 -3.45 0.07 -0.01 5.01 213.70 1.91

6 18.00 -0.86 0.05 -0.00 -2.94 0.06 -0.01 4.27 175.20 1.86

5 15.00 -0.73 0.04 -0.00 -2.38 0.04 -0.01 3.47 136.20 1.77

4 12.00 -0.58 0.03 -0.00 -1.80 0.03 -0.01 2.64 98.06 1.61

3 9.00 -0.41 0.02 -0.00 -1.23 0.02 -0.01 1.79 63.17 1.38

2 6.00 -0.25 0.01 -0.00 -0.70 0.01 -0.01 1.06 33.41 1.02

1 3.00 -0.09 0.00 -0.00 -0.25 0.00 -0.00 0.41 10.78 0.55

Temelji 0.00 0.00 0.00 0.00 -0.00 0.00 -0.00 0.00 0.03 -0.00

Σ= -4.86 0.27 -0.02 -16.28 0.31 -0.09 23.91 958.13 11.83

Svi tonovi

Nivo Z [m] Px [kN] Py [kN] Pz [kN]

8 24.00 0.74 227.70 1.72

7 21.00 0.60 213.83 1.89

6 18.00 0.47 175.31 1.84

5 15.00 0.36 136.29 1.76

4 12.00 0.26 98.12 1.60

3 9.00 0.15 63.21 1.36

2 6.00 0.12 33.43 1.01

1 3.00 0.07 10.79 0.54

Temelji 0.00 0.00 0.03 -0.00

Σ= 2.78 958.72 11.71

Faktori participacije - relativno ucesce Ton ¥ Titulli 1. sx 2. sy

1 0.094 0.000

2 0.906 0.000

3 0.001 0.999

Faktori participacije - angazovanje mase Ton UX (%) UY (%) UZ (%) ΣUX (%) ΣUY (%) ΣUZ (%)

1 8.02 0.02 0.00 8.02 0.02 0.00

2 65.04 0.02 0.00 73.06 0.05 0.00

3 0.04 68.22 0.01 73.10 68.27 0.01

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Staticki proracun

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Tower - 3D Model Builder 6.0 Registered to aja Radimpex - www.radimpex.rs

Dimenzionisanje (beton)