hinge definition and comparision

92
Pasticier Bal Dio Rocking (P) θu Rocking (P) θu Rocking (P) KN-m Rad KN-m Rad KN-m 1 4.6771 0.0198 4.6771 0.0050 4.6771 2 3.4759 0.0148 3.4759 0.0050 3.4759 3 0.1839 0.0133 0.1839 0.0050 0.1839 4 6.9104 0.0195 6.9104 0.0050 6.9104 5 44.8011 0.0224 44.8011 0.0050 44.8011 6 70.3866 0.0224 70.3866 0.0050 70.3866 7 116.1237 0.0224 116.1237 0.0050 116.1237 8 137.0833 0.0224 137.0833 0.0050 137.0833 9 20.0211 0.0224 20.0211 0.0050 20.0211 10 0.1839 0.0180 0.1839 0.0050 0.1839 11 0.1839 0.0180 0.1839 0.0050 0.1839 12 27.4459 0.0224 27.4459 0.0050 27.4459 13 1.7032 0.0224 1.7032 0.0050 1.7032 14 7.9962 0.0224 7.9962 0.0050 7.9962 15 0.1839 0.0184 0.1839 0.0050 0.1839 16 0.1839 0.0170 0.1839 0.0050 0.1839 17 56.7320 0.0224 56.7320 0.0050 56.7320 18 0.1839 0.0068 0.1839 0.0050 0.1839 19 19.1956 0.0224 19.1956 0.0050 19.1956 20 77.0815 0.0224 77.0815 0.0050 77.0815 21 8.4589 0.0224 8.4589 0.0050 8.4589 22 4.8398 0.0224 4.8398 0.0050 4.8398 23 17.7534 0.0224 17.7534 0.0050 17.7534 24 8.8983 0.0173 8.8983 0.0050 8.8983 25 4.8398 0.0224 4.8398 0.0050 4.8398 26 0.1839 0.0224 0.1839 0.0050 0.1839 27 132.3230 0.0224 132.3230 0.0050 132.3230 28 16.0673 0.0194 16.0673 0.0050 16.0673 29 19.1956 0.0224 9.8103 0.0050 9.8103 30 77.0815 0.0224 77.0815 0.0050 77.0815 31 8.4589 0.0224 8.4589 0.0050 8.4589 32 4.8398 0.0224 4.8398 0.0050 4.8398 33 17.7534 0.0224 17.7534 0.0050 17.7534 34 8.8983 0.0173 8.8983 0.0050 8.8983 35 0.1839 0.0170 0.1839 0.0050 0.1839 36 56.7320 0.0224 56.7320 0.0050 56.7320 37 0.1839 0.0068 0.1839 0.0050 0.1839 38 1.7032 0.0224 1.7032 0.0050 1.7032 39 7.9962 0.0224 7.9962 0.0050 7.9962 40 0.1839 0.0184 0.1839 0.0050 0.1839 41 0.1839 0.0180 0.1839 0.0050 0.1839 42 27.4459 0.0224 27.4459 0.0050 27.4459

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Page 1: Hinge Definition and Comparision

Pasticier Bal DiogoRocking (P) θu Rocking (P) θu Rocking (P) θu

KN-m Rad KN-m Rad KN-m Rad1 4.6771 0.0198 4.6771 0.0050 4.6771 0.01982 3.4759 0.0148 3.4759 0.0050 3.4759 0.01483 0.1839 0.0133 0.1839 0.0050 0.1839 0.01334 6.9104 0.0195 6.9104 0.0050 6.9104 0.01955 44.8011 0.0224 44.8011 0.0050 44.8011 0.02246 70.3866 0.0224 70.3866 0.0050 70.3866 0.02247 116.1237 0.0224 116.1237 0.0050 116.1237 0.02248 137.0833 0.0224 137.0833 0.0050 137.0833 0.02249 20.0211 0.0224 20.0211 0.0050 20.0211 0.0224

10 0.1839 0.0180 0.1839 0.0050 0.1839 0.018011 0.1839 0.0180 0.1839 0.0050 0.1839 0.018012 27.4459 0.0224 27.4459 0.0050 27.4459 0.022413 1.7032 0.0224 1.7032 0.0050 1.7032 0.022414 7.9962 0.0224 7.9962 0.0050 7.9962 0.022415 0.1839 0.0184 0.1839 0.0050 0.1839 0.018416 0.1839 0.0170 0.1839 0.0050 0.1839 0.017017 56.7320 0.0224 56.7320 0.0050 56.7320 0.022418 0.1839 0.0068 0.1839 0.0050 0.1839 0.006819 19.1956 0.0224 19.1956 0.0050 19.1956 0.022420 77.0815 0.0224 77.0815 0.0050 77.0815 0.022421 8.4589 0.0224 8.4589 0.0050 8.4589 0.022422 4.8398 0.0224 4.8398 0.0050 4.8398 0.022423 17.7534 0.0224 17.7534 0.0050 17.7534 0.022424 8.8983 0.0173 8.8983 0.0050 8.8983 0.017325 4.8398 0.0224 4.8398 0.0050 4.8398 0.022426 0.1839 0.0224 0.1839 0.0050 0.1839 0.022427 132.3230 0.0224 132.3230 0.0050 132.3230 0.022428 16.0673 0.0194 16.0673 0.0050 16.0673 0.019429 19.1956 0.0224 9.8103 0.0050 9.8103 0.022430 77.0815 0.0224 77.0815 0.0050 77.0815 0.022431 8.4589 0.0224 8.4589 0.0050 8.4589 0.022432 4.8398 0.0224 4.8398 0.0050 4.8398 0.022433 17.7534 0.0224 17.7534 0.0050 17.7534 0.022434 8.8983 0.0173 8.8983 0.0050 8.8983 0.017335 0.1839 0.0170 0.1839 0.0050 0.1839 0.017036 56.7320 0.0224 56.7320 0.0050 56.7320 0.022437 0.1839 0.0068 0.1839 0.0050 0.1839 0.006838 1.7032 0.0224 1.7032 0.0050 1.7032 0.022439 7.9962 0.0224 7.9962 0.0050 7.9962 0.022440 0.1839 0.0184 0.1839 0.0050 0.1839 0.018441 0.1839 0.0180 0.1839 0.0050 0.1839 0.018042 27.4459 0.0224 27.4459 0.0050 27.4459 0.022443 20.0211 0.0224 20.0211 0.0050 20.0211 0.022444 0.1839 0.0180 0.1839 0.0050 0.1839 0.018045 44.8011 0.0224 44.8011 0.0050 44.8011 0.0224

Page 2: Hinge Definition and Comparision

46 70.3866 0.0224 70.3866 0.0050 70.3866 0.022447 116.1237 0.0224 116.1237 0.0050 116.1237 0.022448 137.0833 0.0224 137.0833 0.0050 137.0833 0.022449 4.6771 0.0198 4.6771 0.0050 4.6771 0.019850 3.4759 0.0148 3.4759 0.0050 3.4759 0.014851 0.1839 0.0133 0.1839 0.0050 0.1839 0.013352 6.9104 0.0195 6.9104 0.0050 6.9104 0.0195

Page 3: Hinge Definition and Comparision

Bucchi LagomarsinoRocking (P) θu Rocking (P) θu

KN-m Rad KN-m Rad4.6771 0.0060 4.7085 0.00803.4759 0.0060 3.4992 0.00800.1839 0.0060 0.1851 0.00806.9104 0.0060 6.9568 0.0080

44.8011 0.0060 45.1019 0.008070.3866 0.0060 70.8592 0.0080

116.1237 0.0060 116.9033 0.0080137.0833 0.0060 138.0036 0.0080

20.0211 0.0060 20.1555 0.00800.1839 0.0060 0.1851 0.00800.1839 0.0060 0.1851 0.0080

27.4459 0.0060 27.6302 0.00801.7032 0.0060 1.7146 0.00807.9962 0.0060 8.0499 0.00800.1839 0.0060 0.1851 0.00800.1839 0.0060 0.1851 0.0080

56.7320 0.0060 57.1128 0.00800.1839 0.0060 0.1851 0.0080

19.1956 0.0060 19.3244 0.008077.0815 0.0060 77.5990 0.0080

8.4589 0.0060 8.5157 0.00804.8398 0.0060 4.8723 0.0080

17.7534 0.0060 17.8726 0.00808.8983 0.0060 8.9580 0.00804.8398 0.0060 4.8723 0.00800.1839 0.0060 0.1851 0.0080

132.3230 0.0060 133.2114 0.008016.0673 0.0060 16.1751 0.0080

9.8103 0.0060 9.8762 0.008077.0815 0.0060 77.5990 0.0080

8.4589 0.0060 8.5157 0.00804.8398 0.0060 4.8723 0.0080

17.7534 0.0060 17.8726 0.00808.8983 0.0060 8.9580 0.00800.1839 0.0060 0.1851 0.0080

56.7320 0.0060 57.1128 0.00800.1839 0.0060 0.1851 0.00801.7032 0.0060 1.7146 0.00807.9962 0.0060 8.0499 0.00800.1839 0.0060 0.1851 0.00800.1839 0.0060 0.1851 0.0080

27.4459 0.0060 27.6302 0.008020.0211 0.0060 20.1555 0.0080

0.1839 0.0060 0.1851 0.008044.8011 0.0060 45.1019 0.0080

0.0198 0.0148 0.0133 0.0195 0.0224 0.0224 0.0224 0.0224 0.0224 0.01800.0000

20.0000

40.0000

60.0000

80.0000

100.0000

120.0000

140.0000

160.0000

4.6771 3.47590.1839

6.9104

44.8011

70.3866

116.1237

137.0833

20.0211

0.1839

Rocking

Plasticier et al 2008

Member elements

Mom

ent (

KN-m

)

Page 4: Hinge Definition and Comparision

70.3866 0.0060 70.8592 0.0080116.1237 0.0060 116.9033 0.0080137.0833 0.0060 138.0036 0.0080

4.6771 0.0060 4.7085 0.00803.4759 0.0060 3.4992 0.00800.1839 0.0060 0.1851 0.00806.9104 0.0060 6.9568 0.0080

Page 5: Hinge Definition and Comparision

0.0198 0.0148 0.0133 0.0195 0.0224 0.0224 0.0224 0.0224 0.0224 0.01800.0000

20.0000

40.0000

60.0000

80.0000

100.0000

120.0000

140.0000

160.0000

4.6771 3.47590.1839

6.9104

44.8011

70.3866

116.1237

137.0833

20.0211

0.1839

Rocking

Plasticier et al 2008

Member elements

Mom

ent (

KN-m

)

Page 6: Hinge Definition and Comparision

0.0198 0.0148 0.0133 0.0195 0.0224 0.0224 0.0224 0.0224 0.0224 0.01800.0000

20.0000

40.0000

60.0000

80.0000

100.0000

120.0000

140.0000

160.0000

4.6771 3.47590.1839

6.9104

44.8011

70.3866

116.1237

137.0833

20.0211

0.1839

Rocking

Plasticier et al 2008

Member elements

Mom

ent (

KN-m

)

Page 7: Hinge Definition and Comparision

Pasticier Bal DiogoRocking (P) θu Rocking (P) θu Rocking (P) θu

KN-m Rad KN-m Rad KN-m Rad1 5 0 5 0 5 02 3 0 3 0 3 03 0 0 0 0 0 04 7 0 7 0 7 05 45 0 45 0 45 06 70 0 70 0 70 07 116 0 116 0 116 08 137 0 137 0 137 09 20 0 20 0 20 0

10 0 0 0 0 0 011 0 0 0 0 0 012 27 0 27 0 27 013 2 0 2 0 2 014 8 0 8 0 8 015 0 0 0 0 0 016 0 0 0 0 0 017 57 0 57 0 57 018 0 0 0 0 0 019 19 0 19 0 19 020 77 0 77 0 77 021 8 0 8 0 8 022 5 0 5 0 5 023 18 0 18 0 18 024 9 0 9 0 9 025 5 0 5 0 5 026 0 0 0 0 0 027 132 0 132 0 132 028 16 0 16 0 16 029 19 0 10 0 10 030 77 0 77 0 77 031 8 0 8 0 8 032 5 0 5 0 5 033 18 0 18 0 18 034 9 0 9 0 9 035 0 0 0 0 0 036 57 0 57 0 57 037 0 0 0 0 0 038 2 0 2 0 2 039 8 0 8 0 8 040 0 0 0 0 0 041 0 0 0 0 0 042 27 0 27 0 27 043 20 0 20 0 20 044 0 0 0 0 0 045 45 0 45 0 45 0

Page 8: Hinge Definition and Comparision

46 70 0 70 0 70 047 116 0 116 0 116 048 137 0 137 0 137 049 5 0 5 0 5 050 3 0 3 0 3 051 0 0 0 0 0 052 7 0 7 0 7 0

Page 9: Hinge Definition and Comparision

Bucchi LagomarsinoRocking (P) θu Rocking (P) θu

KN-m Rad KN-m Rad5 0 5 03 0 3 00 0 0 07 0 7 0

45 0 45 070 0 71 0

116 0 117 0137 0 138 0

20 0 20 00 0 0 00 0 0 0

27 0 28 02 0 2 08 0 8 00 0 0 00 0 0 0

57 0 57 00 0 0 0

19 0 19 077 0 78 0

8 0 9 05 0 5 0

18 0 18 09 0 9 05 0 5 00 0 0 0

132 0 133 016 0 16 010 0 10 077 0 78 0

8 0 9 05 0 5 0

18 0 18 09 0 9 00 0 0 0

57 0 57 00 0 0 02 0 2 08 0 8 00 0 0 00 0 0 0

27 0 28 020 0 20 0

0 0 0 045 0 45 0

1 2 3 4 5 6 7 8 9 100

20

40

60

80

100

120

140

5 30

7

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

71

117

138

20

0

Rocking (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Mom

ent (

KN-m

)

Page 10: Hinge Definition and Comparision

70 0 71 0116 0 117 0137 0 138 0

5 0 5 03 0 3 00 0 0 07 0 7 0

Page 11: Hinge Definition and Comparision

3.34360

9.277777778

1 2 3 4 5 6 7 8 9 100

20

40

60

80

100

120

140

5 30

7

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

71

117

138

20

0

Rocking (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Mom

ent (

KN-m

)

Page 12: Hinge Definition and Comparision

1 2 3 4 5 6 7 8 9 100

20

40

60

80

100

120

140

5 30

7

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

70

116

137

20

05 3

07

45

71

117

138

20

0

Rocking (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Mom

ent (

KN-m

)

Page 13: Hinge Definition and Comparision

Pasticier Bal DiogoDiagonal Cracking (P) δuf= Diagonal Cracking (P) δuf= Diagonal Cracking (P) δuf=

KN m KN m KN m1 29 0 10 0 56 02 25 0 9 0 48 03 6 0 2 0 11 04 36 0 12 0 68 05 127 0 44 0 243 06 170 0 59 0 326 07 219 0 76 0 419 08 238 0 83 0 455 09 78 0 27 0 149 0

10 6 0 2 0 11 011 6 0 2 0 11 012 106 0 37 0 204 013 18 0 6 0 34 014 49 0 17 0 94 015 6 0 2 0 11 016 6 0 2 0 11 017 153 0 53 0 293 018 6 0 2 0 11 019 75 0 26 0 143 020 166 0 58 0 318 021 39 0 14 0 75 022 30 0 10 0 57 023 69 0 24 0 132 024 40 0 14 0 77 025 30 0 10 0 57 026 6 0 2 0 11 027 234 0 81 0 447 028 63 0 22 0 120 029 75 0 15 0 81 030 166 0 58 0 318 031 39 0 14 0 75 032 30 0 10 0 57 033 69 0 24 0 132 034 40 0 14 0 77 035 6 0 2 0 11 036 153 0 53 0 293 037 6 0 2 0 11 038 18 0 6 0 34 039 49 0 17 0 94 040 6 0 2 0 11 041 6 0 2 0 11 042 106 0 37 0 204 043 78 0 27 0 149 044 6 0 2 0 11 045 127 0 44 0 243 0

Page 14: Hinge Definition and Comparision

46 170 0 59 0 326 047 219 0 76 0 419 048 238 0 83 0 455 049 29 0 10 0 56 050 25 0 9 0 48 051 6 0 2 0 11 052 36 0 12 0 68 0

Page 15: Hinge Definition and Comparision

Bucchi LagomarsinoDiagonal Cracking (P) δuf= Diagonal Cracking (P) δuf=

KN m KN m19 0 27 016 0 23 04 0 5 0

23 0 32 080 0 115 0

108 0 155 0139 0 199 0151 0 216 049 0 71 04 0 5 04 0 5 0

67 0 97 011 0 16 031 0 45 04 0 5 04 0 5 0

97 0 139 04 0 5 0

47 0 68 0105 0 151 025 0 36 019 0 27 044 0 63 026 0 37 019 0 27 04 0 5 0

148 0 212 040 0 57 027 0 39 0

105 0 151 025 0 36 019 0 27 044 0 63 026 0 37 04 0 5 0

97 0 139 04 0 5 0

11 0 16 031 0 45 04 0 5 04 0 5 0

67 0 97 049 0 71 04 0 5 0

80 0 115 0

1 2 3 4 5 6 7 8 9 10-40

10

60

110

160

210

260

310

360

410

460

29 256

36

127

170

219238

78

610 9 212

4459

76 83

27

2

56 48

11

68

243

326

419

455

149

1119 164

23

80

108

139151

49

427 23

5

32

115

155

199216

71

5

Diagonal Cracking (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 16: Hinge Definition and Comparision

108 0 155 0139 0 199 0151 0 216 019 0 27 016 0 23 04 0 5 0

23 0 32 0

Page 17: Hinge Definition and Comparision

1 2 3 4 5 6 7 8 9 10-40

10

60

110

160

210

260

310

360

410

460

29 256

36

127

170

219238

78

610 9 212

4459

76 83

27

2

56 48

11

68

243

326

419

455

149

1119 164

23

80

108

139151

49

427 23

5

32

115

155

199216

71

5

Diagonal Cracking (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 18: Hinge Definition and Comparision

1 2 3 4 5 6 7 8 9 10-40

10

60

110

160

210

260

310

360

410

460

29 256

36

127

170

219238

78

610 9 212

4459

76 83

27

2

56 48

11

68

243

326

419

455

149

1119 164

23

80

108

139151

49

427 23

5

32

115

155

199216

71

5

Diagonal Cracking (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 19: Hinge Definition and Comparision

Pasticier Bal DiogoSliding (P) δuf= Sliding (P) δuf= Sliding (P) δuf=

KN m KN m KN m1 2 0 2 0 2 02 2 0 2 0 2 03 0 0 0 0 0 04 3 0 3 0 3 05 15 0 12 0 16 06 23 0 18 0 25 07 36 0 27 0 41 08 42 0 31 0 48 09 7 0 6 0 7 0

10 0 0 0 0 0 011 0 0 0 0 0 012 9 0 8 0 10 013 1 0 1 0 1 014 3 0 3 0 3 015 0 0 0 0 0 016 0 0 0 0 0 017 19 0 15 0 21 018 0 0 0 0 0 019 7 0 6 0 7 020 24 0 19 0 28 021 3 0 3 0 3 022 2 0 2 0 2 023 6 0 6 0 7 024 4 0 4 0 5 025 2 0 2 0 2 026 0 0 0 0 0 027 41 0 30 0 46 028 7 0 6 0 7 029 7 0 3 0 4 030 24 0 19 0 28 031 3 0 3 0 3 032 2 0 2 0 2 033 6 0 6 0 7 034 4 0 4 0 5 035 0 0 0 0 0 036 19 0 15 0 21 037 0 0 0 0 0 038 1 0 1 0 1 039 3 0 3 0 3 040 0 0 0 0 0 041 0 0 0 0 0 042 9 0 8 0 10 043 7 0 6 0 7 044 0 0 0 0 0 045 15 0 12 0 16 0

Page 20: Hinge Definition and Comparision

46 23 0 18 0 25 047 36 0 27 0 41 048 42 0 31 0 48 049 2 0 2 0 2 050 2 0 2 0 2 051 0 0 0 0 0 052 3 0 3 0 3 0

Page 21: Hinge Definition and Comparision

Bucchi LagomarsinoSliding (P) δuf= Sliding (P) δuf=

KN m KN m27 0 2 023 0 2 05 0 11 0

32 0 3 077 0 15 0

104 0 23 0133 0 36 0144 0 42 055 0 7 05 0 0 05 0 0 0

65 0 9 016 0 1 045 0 3 05 0 0 05 0 0 0

93 0 19 05 0 0 0

54 0 7 0101 0 24 036 0 3 027 0 2 052 0 6 037 0 4 027 0 2 05 0 0 0

142 0 41 049 0 7 039 0 3 0

101 0 24 036 0 3 027 0 2 052 0 6 037 0 4 05 0 0 0

93 0 19 05 0 0 0

16 0 1 045 0 3 05 0 0 05 0 0 0

65 0 9 055 0 7 05 0 0 0

77 0 15 0

1 2 3 4 5 6 7 8 9 10-10

10

30

50

70

90

110

130

150

2 2 0 3

15

23

3642

702 2 0 3

1218

2731

602 2 0 3

16

25

4148

70

2723

5

32

77

104

133

144

55

52 2

11

3

15

23

3642

70

Sliding (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 22: Hinge Definition and Comparision

104 0 23 0133 0 36 0144 0 42 027 0 2 023 0 2 05 0 0 0

32 0 3 0

Page 23: Hinge Definition and Comparision

1 2 3 4 5 6 7 8 9 10-10

10

30

50

70

90

110

130

150

2 2 0 3

15

23

3642

702 2 0 3

1218

2731

602 2 0 3

16

25

4148

70

2723

5

32

77

104

133

144

55

52 2

11

3

15

23

3642

70

Sliding (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 24: Hinge Definition and Comparision

1 2 3 4 5 6 7 8 9 10-10

10

30

50

70

90

110

130

150

2 2 0 3

15

23

3642

702 2 0 3

1218

2731

602 2 0 3

16

25

4148

70

2723

5

32

77

104

133

144

55

52 2

11

3

15

23

3642

70

Sliding (Piers)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 25: Hinge Definition and Comparision

Pasticier Bal DiogoSliding (S) δuf= Sliding (S) δuf= Sliding (S) δuf=

KN m KN m KN m1 28 0 12 0 55 02 16 0 7 0 32 03 11 0 5 0 23 04 13 0 6 0 27 06 28 0 12 0 55 07 16 0 7 0 32 09 12 0 5 0 24 0

12 16 0 7 0 32 013 12 0 5 0 23 014 20 0 9 0 41 015 6 0 2 0 11 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 019 0 0 0 0 0 020 0 0 0 0 0 021 0 0 0 0 0 022 0 0 0 0 0 023 0 0 0 0 0 024 0 0 0 0 0 025 0 0 0 0 0 026 0 0 0 0 0 027 0 0 0 0 0 028 0 0 0 0 0 029 0 0 0 0 0 030 0 0 0 0 0 031 0 0 0 0 0 032 0 0 0 0 0 033 0 0 0 0 0 034 0 0 0 0 0 035 0 0 0 0 0 036 0 0 0 0 0 037 0 0 0 0 0 038 0 0 0 0 0 039 0 0 0 0 0 040 0 0 0 0 0 041 0 0 0 0 0 042 0 0 0 0 0 043 0 0 0 0 0 044 0 0 0 0 0 045 0 0 0 0 0 046 0 0 0 0 0 047 0 0 0 0 0 048 0 0 0 0 0 049 0 0 0 0 0 0

Page 26: Hinge Definition and Comparision

50 0 0 0 0 0 051 0 0 0 0 0 052 0 0 0 0 0 0

Page 27: Hinge Definition and Comparision

Bucchi LagomarsinoSliding (S) δuf= Sliding (S) δuf=

KN m KN m28 0 55 016 0 32 011 0 23 013 0 27 028 0 55 016 0 32 012 0 24 016 0 32 012 0 23 020 0 41 06 0 11 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0

1 2 3 4 6 7 90

10

20

30

40

50

60

28

16

1113

28

16

1212

75 6

12

75

55

32

23

27

55

32

2428

16

1113

28

16

12

55

32

23

27

55

32

24

Sliding (Spandrels)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elementsSh

ear F

orce

(KN

)

Page 28: Hinge Definition and Comparision

0 0 0 00 0 0 00 0 0 0

Page 29: Hinge Definition and Comparision

1 2 3 4 6 7 90

10

20

30

40

50

60

28

16

1113

28

16

1212

75 6

12

75

55

32

23

27

55

32

2428

16

1113

28

16

12

55

32

23

27

55

32

24

Sliding (Spandrels)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 30: Hinge Definition and Comparision

1 2 3 4 6 7 90

10

20

30

40

50

60

28

16

1113

28

16

1212

75 6

12

75

55

32

23

27

55

32

2428

16

1113

28

16

12

55

32

23

27

55

32

24

Sliding (Spandrels)

Pasticier et al 2008 Bal et al 2008 Diogo et al 2009Bucchi et al 2013 Lagomarsino et al 2013

Member elements

Shea

r For

ce (K

N)

Page 31: Hinge Definition and Comparision

Pasticier et al. (2008)

PIER

Rocking Mu= 6.80 0.018666667

Diagonal Cracking Vuf= 32.94 0.009333333

Sliding Vus= 0.00 0.009333333

SPANDREL Sliding Vu= 12.00 0.0024

KN/m^2 30.8 μ= 0.25

m D= 1.5 1.5

m t= 0.2 ξ= 1.87

k= 0.55 2.333333333 m

KN/m^2 3000 h= 0.6 m

KN/m 100 h'=H= 2.8

θu=

δuf=

δus=

δus=

σ0=ϒm=

Heff=fd=fvod=

Page 32: Hinge Definition and Comparision
Page 33: Hinge Definition and Comparision

No D t(P) H desnsity weigth Area h (S)m m m KN/m3 KN m2 m

1 1.16 0.23 2.8 11 8.22 0.27 0.702 1.00 0.23 2.8 11 7.08 0.23 0.703 0.23 0.23 2.8 11 1.63 0.05 0.704 1.41 0.23 2.8 11 9.99 0.32 0.705 3.85 0.20 2.8 11 23.72 0.77 1.206 4.50 0.23 2.8 11 31.88 1.04 1.207 5.78 0.23 2.8 11 40.95 1.33 1.208 6.28 0.23 2.8 11 44.49 1.44 1.209 2.40 0.23 2.8 11 17.00 0.55 1.20

10 0.23 0.23 2.8 11 1.63 0.05 0.7011 0.23 0.23 2.8 11 1.63 0.05 0.7012 2.81 0.23 2.8 11 19.91 0.65 1.2013 0.70 0.23 2.8 11 4.96 0.16 1.2014 1.18 0.38 2.8 11 13.81 0.45 1.2015 0.23 0.23 2.8 11 1.63 0.05 0.7016 0.23 0.23 2.8 11 1.63 0.05 0.7017 4.04 0.23 2.8 11 28.62 0.93 1.2018 0.23 0.23 2.8 11 1.63 0.05 0.7019 2.35 0.23 2.8 11 16.65 0.54 1.2020 5.05 0.20 2.8 11 31.11 1.01 1.2021 1.56 0.23 2.8 11 11.05 0.36 1.2022 1.18 0.23 2.8 11 8.36 0.27 1.2023 2.26 0.23 2.8 11 16.01 0.52 1.2024 1.60 0.23 2.8 11 11.33 0.37 1.2025 1.18 0.23 2.8 11 8.36 0.27 1.2026 0.23 0.23 2.8 11 1.63 0.05 0.7027 6.17 0.23 2.8 11 43.71 1.42 1.2028 2.15 0.23 2.8 11 15.23 0.49 1.2029 2.35 0.23 2.8 11 16.65 0.54 1.2030 5.05 0.20 2.8 11 31.11 1.01 1.2031 1.56 0.23 2.8 11 11.05 0.36 1.2032 1.18 0.23 2.8 11 8.36 0.27 1.2033 2.26 0.23 2.8 11 16.01 0.52 1.2034 1.60 0.23 2.8 11 11.33 0.37 1.2035 0.23 0.23 2.8 11 1.63 0.05 0.7036 4.04 0.23 2.8 11 28.62 0.93 1.2037 0.23 0.23 2.8 11 1.63 0.05 0.7038 0.70 0.23 2.8 11 4.96 0.16 1.2039 1.18 0.38 2.8 11 13.81 0.45 1.2040 0.23 0.23 2.8 11 1.63 0.05 0.7041 0.23 0.23 2.8 11 1.63 0.05 0.70

Page 34: Hinge Definition and Comparision

42 2.81 0.23 2.8 11 19.91 0.65 1.2043 2.40 0.23 2.8 11 17.00 0.55 1.2044 0.23 0.23 2.8 11 1.63 0.05 0.7045 3.85 0.20 2.8 11 23.72 0.77 1.2046 4.50 0.23 2.8 11 31.88 1.04 1.2047 5.78 0.23 2.8 11 40.95 1.33 1.2048 6.28 0.23 2.8 11 44.49 1.44 1.2049 1.16 0.23 2.8 11 8.22 0.27 0.7050 1.00 0.23 2.8 11 7.08 0.23 0.7051 0.23 0.23 2.8 11 1.63 0.05 0.7052 1.41 0.23 2.8 11 9.99 0.32 0.70

Page 35: Hinge Definition and Comparision

t(S) Ho AXES σ0= ξm m KN/m2 m

0.23 2.41 1 30.8 2.41 1.50 2.470.23 1.60 30.8 2.80 1.50 1.850.23 1.60 30.8 12.17 1.50 1.660.23 2.34 30.8 1.99 1.50 2.430.20 2.80 A 30.8 0.73 1.00 2.800.23 2.8 B 30.8 0.62 1.00 2.800.23 2.8 C 30.8 0.48 1.00 2.800.23 2.8 D 30.8 0.45 1.00 2.800.23 2.80 2 30.8 1.17 1.17 2.800.23 2.23 30.8 12.17 1.50 2.250.23 2.23 2' 30.8 12.17 1.50 2.250.23 2.8 30.8 1.00 1.00 2.800.23 2.80 3 30.8 4.00 1.50 2.800.23 2.80 30.8 2.37 1.50 2.800.23 2.28 B 30.8 12.17 1.50 2.300.23 2.1 C 30.8 12.17 1.50 2.130.23 2.8 4 30.8 0.69 1.00 2.800.23 0.5 D 30.8 12.17 1.50 0.850.23 2.8 A 30.8 1.19 1.19 2.800.20 2.8 5 30.8 0.55 1.00 2.800.23 2.8 B 30.8 1.79 1.50 2.800.23 2.8 B# 30.8 2.37 1.50 2.800.23 2.8 C 30.8 1.24 1.24 2.800.23 1.92 D 30.8 1.75 1.50 2.160.23 2.8 B# 30.8 2.37 1.50 2.800.23 2.8 C 30.8 12.17 1.50 2.800.23 2.80 6 30.8 0.45 1.00 2.800.23 2.25 D 30.8 1.30 1.30 2.430.23 2.80 A 30.8 1.19 1.19 2.800.20 2.8 7 30.8 0.55 1.00 2.800.23 2.8 B 30.8 1.79 1.50 2.800.23 2.8 B# 30.8 2.37 1.50 2.800.23 2.8 C 30.8 1.24 1.24 2.800.23 1.92 D 30.8 1.75 1.50 2.160.23 2.1 C 30.8 12.17 1.50 2.130.23 2.8 8 30.8 0.69 1.00 2.800.23 0.5 D 30.8 12.17 1.50 0.850.23 2.80 9 30.8 4.00 1.50 2.800.23 2.80 30.8 2.37 1.50 2.800.23 2.28 B 30.8 12.17 1.50 2.300.23 2.23 9' 30.8 12.17 1.50 2.25

Heff=

Page 36: Hinge Definition and Comparision

0.23 2.8 30.8 1.00 1.00 2.800.23 2.80 10 30.8 1.17 1.17 2.800.23 2.23 30.8 12.17 1.50 2.250.20 2.80 A 30.8 0.73 1.00 2.800.23 2.8 B 30.8 0.62 1.00 2.800.23 2.8 C 30.8 0.48 1.00 2.800.23 2.8 D 30.8 0.45 1.00 2.800.23 2.41 11 30.8 2.41 1.50 2.470.23 1.60 30.8 2.80 1.50 1.850.23 1.60 30.8 12.17 1.50 1.660.23 2.34 30.8 1.99 1.50 2.43

Page 37: Hinge Definition and Comparision

Pasticier

Rocking (P) Diagonal Cracking (P) Sliding (P)KN-m Rad KN m KN m

4.68 0.020 29.29 0.010 1.95 0.0103.48 0.015 25.25 0.007 2.15 0.0070.18 0.013 5.81 0.007 0.12 0.0076.91 0.019 35.60 0.010 2.93 0.010

44.80 0.022 126.80 0.011 14.78 0.01170.39 0.022 170.45 0.011 22.74 0.011

116.12 0.022 218.93 0.011 36.06 0.011137.08 0.022 237.87 0.011 41.94 0.01120.02 0.022 77.92 0.011 6.93 0.0110.18 0.018 5.81 0.009 0.09 0.0090.18 0.018 5.81 0.009 0.09 0.009

27.45 0.022 106.43 0.011 9.37 0.0111.70 0.022 17.68 0.011 0.63 0.0118.00 0.022 49.23 0.011 2.88 0.0110.18 0.018 5.81 0.009 0.08 0.0090.18 0.017 5.81 0.009 0.09 0.009

56.73 0.022 153.02 0.011 18.60 0.0110.18 0.007 5.81 0.003 0.37 0.003

19.20 0.022 74.71 0.011 6.65 0.01177.08 0.022 166.33 0.011 24.48 0.0118.46 0.022 39.39 0.011 3.01 0.0114.84 0.022 29.80 0.011 1.75 0.011

17.75 0.022 69.09 0.011 6.17 0.0118.90 0.017 40.40 0.009 4.50 0.0094.84 0.022 29.80 0.011 1.75 0.0110.18 0.022 5.81 0.011 0.07 0.011

132.32 0.022 233.70 0.011 40.62 0.01116.07 0.019 62.53 0.010 6.85 0.01019.20 0.022 74.71 0.011 6.65 0.01177.08 0.022 166.33 0.011 24.48 0.0118.46 0.022 39.39 0.011 3.01 0.0114.84 0.022 29.80 0.011 1.75 0.011

17.75 0.022 69.09 0.011 6.17 0.0118.90 0.017 40.40 0.009 4.50 0.0090.18 0.017 5.81 0.009 0.09 0.009

56.73 0.022 153.02 0.011 18.60 0.0110.18 0.007 5.81 0.003 0.37 0.0031.70 0.022 17.68 0.011 0.63 0.0118.00 0.022 49.23 0.011 2.88 0.0110.18 0.018 5.81 0.009 0.08 0.0090.18 0.018 5.81 0.009 0.09 0.009

θu δuf= δuf=

Page 38: Hinge Definition and Comparision

27.45 0.022 106.43 0.011 9.37 0.01120.02 0.022 77.92 0.011 6.93 0.0110.18 0.018 5.81 0.009 0.09 0.009

44.80 0.022 126.80 0.011 14.78 0.01170.39 0.022 170.45 0.011 22.74 0.011

116.12 0.022 218.93 0.011 36.06 0.011137.08 0.022 237.87 0.011 41.94 0.011

4.68 0.020 29.29 0.010 1.95 0.0103.48 0.015 25.25 0.007 2.15 0.0070.18 0.013 5.81 0.007 0.12 0.0076.91 0.019 35.60 0.010 2.93 0.010

Page 39: Hinge Definition and Comparision

7.3534711781.96190611

Page 40: Hinge Definition and Comparision

No h (S) t(S) AXES Sliding (S)m m KN m

53 1.20 0.23 1 &11 27.6 0.004854 0.70 0.23 16.1 0.002855 0.57 0.20 2&10 11.4 0.002356 0.58 0.23 2´&9´ 13.34 0.002357 0.23 3 &9 0 0.000058 1.20 0.23

A 27.6 0.0048

59 0.70 0.23 16.1 0.002860 0.23 0 0.000061 0.52 0.23

B11.96 0.0021

62 0.23 0 0.000063 0.23 0 0.000064 0.70 0.23 C 16.1 0.002865 0.50 0.23

D11.5 0.0020

66 0.89 0.23 20.47 0.003667 0.24 0.23 5.52 0.0010

δuf=

Page 41: Hinge Definition and Comparision

Bal et al. (2008)

PIER

Rocking Mu= #DIV/0! 0.005

Diagonal Cracking Vuf= #DIV/0! 0

Sliding Vus= #DIV/0! 0

SPANDREL Rocking Mu= #DIV/0! 0.005

SPANDREL Sliding Vu= 0.00 0

μ=D=t= ξ=k=

h=

θu=

δuf=

δus=

θu=

δu=

σ0=ϒm=

Heff=fd= Hp=ftu= fhd=

Page 42: Hinge Definition and Comparision
Page 43: Hinge Definition and Comparision

No D t(P) H desnsity weigth Area h (S)m m m KN/m3 KN m2 m

1 1.16 0.23 2.8 11 8.22 0.27 0.702 1.00 0.23 2.8 11 7.08 0.23 0.703 0.23 0.23 2.8 11 1.63 0.05 0.704 1.41 0.23 2.8 11 9.99 0.32 0.705 3.85 0.20 2.8 11 23.72 0.77 1.206 4.50 0.23 2.8 11 31.88 1.04 1.207 5.78 0.23 2.8 11 40.95 1.33 1.208 6.28 0.23 2.8 11 44.49 1.44 1.209 2.40 0.23 2.8 11 17.00 0.55 1.20

10 0.23 0.23 2.8 11 1.63 0.05 0.7011 0.23 0.23 2.8 11 1.63 0.05 0.7012 2.81 0.23 2.8 11 19.91 0.65 1.2013 0.70 0.23 2.8 11 4.96 0.16 1.2014 1.18 0.38 2.8 11 13.81 0.45 1.2015 0.23 0.23 2.8 11 1.63 0.05 0.7016 0.23 0.23 2.8 11 1.63 0.05 0.7017 4.04 0.23 2.8 11 28.62 0.93 1.2018 0.23 0.23 2.8 11 1.63 0.05 0.7019 2.35 0.23 2.8 11 16.65 0.54 1.2020 5.05 0.20 2.8 11 31.11 1.01 1.2021 1.56 0.23 2.8 11 11.05 0.36 1.2022 1.18 0.23 2.8 11 8.36 0.27 1.2023 2.26 0.23 2.8 11 16.01 0.52 1.2024 1.60 0.23 2.8 11 11.33 0.37 1.2025 1.18 0.23 2.8 11 8.36 0.27 1.2026 0.23 0.23 2.8 11 1.63 0.05 0.7027 6.17 0.23 2.8 11 43.71 1.42 1.2028 2.15 0.23 2.8 11 15.23 0.49 1.2029 1.68 0.23 2.8 11 11.90 0.39 1.2030 5.05 0.20 2.8 11 31.11 1.01 1.2031 1.56 0.23 2.8 11 11.05 0.36 1.2032 1.18 0.23 2.8 11 8.36 0.27 1.2033 2.26 0.23 2.8 11 16.01 0.52 1.2034 1.60 0.23 2.8 11 11.33 0.37 1.2035 0.23 0.23 2.8 11 1.63 0.05 0.7036 4.04 0.23 2.8 11 28.62 0.93 1.2037 0.23 0.23 2.8 11 1.63 0.05 0.7038 0.70 0.23 2.8 11 4.96 0.16 1.2039 1.18 0.38 2.8 11 13.81 0.45 1.2040 0.23 0.23 2.8 11 1.63 0.05 0.7041 0.23 0.23 2.8 11 1.63 0.05 0.70

Page 44: Hinge Definition and Comparision

42 2.81 0.23 2.8 11 19.91 0.65 1.2043 2.40 0.23 2.8 11 17.00 0.55 1.2044 0.23 0.23 2.8 11 1.63 0.05 0.7045 3.85 0.20 2.8 11 23.72 0.77 1.2046 4.50 0.23 2.8 11 31.88 1.04 1.2047 5.78 0.23 2.8 11 40.95 1.33 1.2048 6.28 0.23 2.8 11 44.49 1.44 1.2049 1.16 0.23 2.8 11 8.22 0.27 0.7050 1.00 0.23 2.8 11 7.08 0.23 0.7051 0.23 0.23 2.8 11 1.63 0.05 0.7052 1.41 0.23 2.8 11 9.99 0.32 0.70

Page 45: Hinge Definition and Comparision

t(S) Ho AXES σ0= ξ Hpm m KN/m2 m

0.23 2.41 1 30.8 2.41 1.50 2.47 106.900.23 1.60 30.8 2.80 1.50 1.85 106.900.23 1.60 30.8 12.17 1.50 1.66 106.900.23 2.34 30.8 1.99 1.50 2.43 106.900.20 2.80 A 30.8 0.73 1.00 2.80 159.360.23 2.8 B 30.8 0.62 1.00 2.80 183.260.23 2.8 C 30.8 0.48 1.00 2.80 183.260.23 2.8 D 30.8 0.45 1.00 2.80 183.260.23 2.80 2 30.8 1.17 1.17 2.80 183.260.23 2.23 30.8 12.17 1.50 2.25 106.900.23 2.23 2' 30.8 12.17 1.50 2.25 106.900.23 2.8 30.8 1.00 1.00 2.80 183.260.23 2.80 3 30.8 4.00 1.50 2.80 183.260.23 2.80 30.8 2.37 1.50 2.80 302.780.23 2.28 B 30.8 12.17 1.50 2.30 106.900.23 2.1 C 30.8 12.17 1.50 2.13 106.900.23 2.8 4 30.8 0.69 1.00 2.80 183.260.23 0.5 D 30.8 12.17 1.50 0.85 106.900.23 2.8 A 30.8 1.19 1.19 2.80 183.260.20 2.8 5 30.8 0.55 1.00 2.80 159.360.23 2.8 B 30.8 1.79 1.50 2.80 183.260.23 2.8 B# 30.8 2.37 1.50 2.80 183.260.23 2.8 C 30.8 1.24 1.24 2.80 183.260.23 1.92 D 30.8 1.75 1.50 2.16 183.260.23 2.8 B# 30.8 2.37 1.50 2.80 183.260.23 2.8 C 30.8 12.17 1.50 2.80 106.900.23 2.80 6 30.8 0.45 1.00 2.80 183.260.23 2.25 D 30.8 1.30 1.30 2.43 183.260.23 2.80 A 30.8 1.67 1.50 2.80 183.260.20 2.8 7 30.8 0.55 1.00 2.80 159.360.23 2.8 B 30.8 1.79 1.50 2.80 183.260.23 2.8 B# 30.8 2.37 1.50 2.80 183.260.23 2.8 C 30.8 1.24 1.24 2.80 183.260.23 1.92 D 30.8 1.75 1.50 2.16 183.260.23 2.1 C 30.8 12.17 1.50 2.13 106.900.23 2.8 8 30.8 0.69 1.00 2.80 183.260.23 0.5 D 30.8 12.17 1.50 0.85 106.900.23 2.80 9 30.8 4.00 1.50 2.80 183.260.23 2.80 30.8 2.37 1.50 2.80 302.780.23 2.28 B 30.8 12.17 1.50 2.30 106.900.23 2.23 9' 30.8 12.17 1.50 2.25 106.90

Heff=

Page 46: Hinge Definition and Comparision

0.23 2.8 30.8 1.00 1.00 2.80 183.260.23 2.80 10 30.8 1.17 1.17 2.80 183.260.23 2.23 30.8 12.17 1.50 2.25 106.900.20 2.80 A 30.8 0.73 1.00 2.80 159.360.23 2.8 B 30.8 0.62 1.00 2.80 183.260.23 2.8 C 30.8 0.48 1.00 2.80 183.260.23 2.8 D 30.8 0.45 1.00 2.80 183.260.23 2.41 11 30.8 2.41 1.50 2.47 106.900.23 1.60 30.8 2.80 1.50 1.85 106.900.23 1.60 30.8 12.17 1.50 1.66 106.900.23 2.34 30.8 1.99 1.50 2.43 106.90

Page 47: Hinge Definition and Comparision

BAL

Rocking (P) Diagonal Cracking (P) Sliding (P)KN-m Rad KN m KN m

4.68 0.005 10.20 0.007 1.8900 0.0103.48 0.005 8.80 0.006 2.0283 0.0070.18 0.005 2.02 0.005 0.1245 0.0076.91 0.005 12.40 0.007 2.7752 0.010

44.80 0.005 44.17 0.008 12.2916 0.01170.39 0.005 59.38 0.008 18.3071 0.011

116.12 0.005 76.27 0.008 27.3975 0.011137.08 0.005 82.86 0.008 31.2101 0.01120.02 0.005 27.14 0.008 6.2588 0.0110.18 0.005 2.02 0.007 0.0906 0.0090.18 0.005 2.02 0.007 0.0906 0.009

27.45 0.005 37.08 0.008 8.2545 0.0111.70 0.005 6.16 0.008 0.6365 0.0118.00 0.005 17.15 0.008 2.8319 0.0110.18 0.005 2.02 0.007 0.0886 0.0090.18 0.005 2.02 0.006 0.0960 0.009

56.73 0.005 53.31 0.008 15.3193 0.0110.18 0.005 2.02 0.003 0.3604 0.003

19.20 0.005 26.02 0.008 6.0298 0.01177.08 0.005 57.94 0.008 19.2034 0.0118.46 0.005 13.72 0.008 2.8767 0.0114.84 0.005 10.38 0.008 1.7141 0.011

17.75 0.005 24.07 0.008 5.6257 0.0118.90 0.005 14.07 0.006 4.0828 0.0094.84 0.005 10.38 0.008 1.7141 0.0110.18 0.005 2.02 0.008 0.0726 0.011

132.32 0.005 81.41 0.008 30.3602 0.01116.07 0.005 21.78 0.007 6.0893 0.0109.81 0.005 14.78 0.008 3.2949 0.011

77.08 0.005 57.94 0.008 19.2034 0.0118.46 0.005 13.72 0.008 2.8767 0.0114.84 0.005 10.38 0.008 1.7141 0.011

17.75 0.005 24.07 0.008 5.6257 0.0118.90 0.005 14.07 0.006 4.0828 0.0090.18 0.005 2.02 0.006 0.0960 0.009

56.73 0.005 53.31 0.008 15.3193 0.0110.18 0.005 2.02 0.003 0.3604 0.0031.70 0.005 6.16 0.008 0.6365 0.0118.00 0.005 17.15 0.008 2.8319 0.0110.18 0.005 2.02 0.007 0.0886 0.0090.18 0.005 2.02 0.007 0.0906 0.009

θu δuf= δuf=

Page 48: Hinge Definition and Comparision

27.45 0.005 37.08 0.008 8.2545 0.01120.02 0.005 27.14 0.008 6.2588 0.0110.18 0.005 2.02 0.007 0.0906 0.009

44.80 0.005 44.17 0.008 12.2916 0.01170.39 0.005 59.38 0.008 18.3071 0.011

116.12 0.005 76.27 0.008 27.3975 0.011137.08 0.005 82.86 0.008 31.2101 0.011

4.68 0.005 10.20 0.007 1.8900 0.0103.48 0.005 8.80 0.006 2.0283 0.0070.18 0.005 2.02 0.005 0.1245 0.0076.91 0.005 12.40 0.007 2.7752 0.010

Page 49: Hinge Definition and Comparision

7.3534711781.96190611

Page 50: Hinge Definition and Comparision

No h (S) t(S) AXES Hp Rocking (S)m m m kN-m Rad

53 1.20 0.23 1 &11183.264 29.98865454545 0.005

54 0.70 0.23 106.904 10.20447272727 0.00555 0.57 0.20 2&10 75.696 5.883643636364 0.00556 0.58 0.23 2´&9´ 88.5776 7.005682909091 0.00557 0.23 3 &9 0 #DIV/0! 0.00558 1.20 0.23

A 183.264 29.98865454545 0.005

59 0.70 0.23 106.904 10.20447272727 0.00560 0.23 0 #DIV/0! 0.00561 0.52 0.23

B79.4144 5.631202909091 0.005

62 0.23 0 #DIV/0! 0.00563 0.23 0 #DIV/0! 0.005

64 0.70 0.23 C 106.904 10.20447272727 0.00565 0.50 0.23

D76.36 5.206363636364 0.005

66 0.89 0.23 135.9208 16.49584254545 0.00567 0.24 0.23 36.6528 1.199546181818 0.005

θu

Page 51: Hinge Definition and Comparision

Sliding (S)KN m

12.144 0.00487.084 0.00285.016 0.0023

5.8696 0.00230 0.0000

12.144 0.00487.084 0.0028

0 0.00005.2624 0.0021

0 0.00000 0.0000

7.084 0.00285.06 0.0020

9.0068 0.00362.4288 0.0010

δuf=

Page 52: Hinge Definition and Comparision

No D t(P) H density weigth Area h (S) t(S) Hom m m KN/m3 KN m2 m m m

1 1.16 0.23 2.8 11 8.22 0.27 0.70 0.23 2.412 1.00 0.23 2.8 11 7.08 0.23 0.70 0.23 1.603 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 1.604 1.41 0.23 2.8 11 9.99 0.32 0.70 0.23 2.345 3.85 0.20 2.8 11 23.72 0.77 1.20 0.20 2.806 4.50 0.23 2.8 11 31.88 1.04 1.20 0.23 2.87 5.78 0.23 2.8 11 40.95 1.33 1.20 0.23 2.88 6.28 0.23 2.8 11 44.49 1.44 1.20 0.23 2.89 2.40 0.23 2.8 11 17.00 0.55 1.20 0.23 2.80

10 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2311 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2312 2.81 0.23 2.8 11 19.91 0.65 1.20 0.23 2.813 0.70 0.23 2.8 11 4.96 0.16 1.20 0.23 2.8014 1.18 0.38 2.8 11 13.81 0.45 1.20 0.23 2.8015 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2816 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.117 4.04 0.23 2.8 11 28.62 0.93 1.20 0.23 2.818 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 0.5

19 2.35 0.23 2.8 11 16.65 0.54 1.20 0.23 2.8

20 5.05 0.20 2.8 11 31.11 1.01 1.20 0.20 2.8

21 1.56 0.23 2.8 11 11.05 0.36 1.20 0.23 2.8

22 1.18 0.23 2.8 11 8.36 0.27 1.20 0.23 2.8

23 2.26 0.23 2.8 11 16.01 0.52 1.20 0.23 2.824 1.60 0.23 2.8 11 11.33 0.37 1.20 0.23 1.9225 1.18 0.23 2.8 11 8.36 0.27 1.20 0.23 2.826 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.827 6.17 0.23 2.8 11 43.71 1.42 1.20 0.23 2.8028 2.15 0.23 2.8 11 15.23 0.49 1.20 0.23 2.2529 1.68 0.23 2.8 11 11.90 0.39 1.20 0.23 2.8030 5.05 0.20 2.8 11 31.11 1.01 1.20 0.20 2.831 1.56 0.23 2.8 11 11.05 0.36 1.20 0.23 2.832 1.18 0.23 2.8 11 8.36 0.27 1.20 0.23 2.833 2.26 0.23 2.8 11 16.01 0.52 1.20 0.23 2.834 1.60 0.23 2.8 11 11.33 0.37 1.20 0.23 1.9235 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.136 4.04 0.23 2.8 11 28.62 0.93 1.20 0.23 2.837 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 0.538 0.70 0.23 2.8 11 4.96 0.16 1.20 0.23 2.8039 1.18 0.38 2.8 11 13.81 0.45 1.20 0.23 2.8040 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2841 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2342 2.81 0.23 2.8 11 19.91 0.65 1.20 0.23 2.8

Page 53: Hinge Definition and Comparision

43 2.40 0.23 2.8 11 17.00 0.55 1.20 0.23 2.8044 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2345 3.85 0.20 2.8 11 23.72 0.77 1.20 0.20 2.8046 4.50 0.23 2.8 11 31.88 1.04 1.20 0.23 2.847 5.78 0.23 2.8 11 40.95 1.33 1.20 0.23 2.848 6.28 0.23 2.8 11 44.49 1.44 1.20 0.23 2.849 1.16 0.23 2.8 11 8.22 0.27 0.70 0.23 2.4150 1.00 0.23 2.8 11 7.08 0.23 0.70 0.23 1.6051 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 1.6052 1.41 0.23 2.8 11 9.99 0.32 0.70 0.23 2.34

Page 54: Hinge Definition and Comparision

DIEGO

AXES σ0= ξ Rocking (P) Diagonal Cracking (P)KN/m2 m KN-m Rad KN

1

30.8 2.41 1.50 2.47 4.677 0.020 56.030.8 2.80 1.50 1.85 3.476 0.015 48.330.8 12.17 1.50 1.66 0.184 0.013 11.130.8 1.99 1.50 2.43 6.910 0.019 68.1

A 30.8 0.73 1.00 2.80 44.801 0.022 242.6B 30.8 0.62 1.00 2.80 70.387 0.022 326.0C 30.8 0.48 1.00 2.80 116.124 0.022 418.8D 30.8 0.45 1.00 2.80 137.083 0.022 455.0

2 30.8 1.17 1.17 2.80 20.021 0.022 149.130.8 12.17 1.50 2.25 0.184 0.018 11.1

2' 30.8 12.17 1.50 2.25 0.184 0.018 11.130.8 1.00 1.00 2.80 27.446 0.022 203.6

3 30.8 4.00 1.50 2.80 1.703 0.022 33.830.8 2.37 1.50 2.80 7.996 0.022 94.2

B 30.8 12.17 1.50 2.30 0.184 0.018 11.1C 30.8 12.17 1.50 2.13 0.184 0.017 11.14 30.8 0.69 1.00 2.80 56.732 0.022 292.7D 30.8 12.17 1.50 0.85 0.184 0.007 11.1

A 30.8 1.19 1.19 2.80 19.196 0.022 142.9

5 30.8 0.55 1.00 2.80 77.081 0.022 318.2

B 30.8 1.79 1.50 2.80 8.459 0.022 75.4

B# 30.8 2.37 1.50 2.80 4.840 0.022 57.0

C 30.8 1.24 1.24 2.80 17.753 0.022 132.2D 30.8 1.75 1.50 2.16 8.898 0.017 77.3B# 30.8 2.37 1.50 2.80 4.840 0.022 57.0C 30.8 12.17 1.50 2.80 0.184 0.022 11.16 30.8 0.45 1.00 2.80 132.323 0.022 447.1D 30.8 1.30 1.30 2.43 16.067 0.019 119.6A 30.8 1.67 1.50 2.80 9.810 0.022 81.27 30.8 0.55 1.00 2.80 77.081 0.022 318.2B 30.8 1.79 1.50 2.80 8.459 0.022 75.4

B# 30.8 2.37 1.50 2.80 4.840 0.022 57.0C 30.8 1.24 1.24 2.80 17.753 0.022 132.2D 30.8 1.75 1.50 2.16 8.898 0.017 77.3C 30.8 12.17 1.50 2.13 0.184 0.017 11.18 30.8 0.69 1.00 2.80 56.732 0.022 292.7D 30.8 12.17 1.50 0.85 0.184 0.007 11.1

9 30.8 4.00 1.50 2.80 1.703 0.022 33.830.8 2.37 1.50 2.80 7.996 0.022 94.2

B 30.8 12.17 1.50 2.30 0.184 0.018 11.1

9' 30.8 12.17 1.50 2.25 0.184 0.018 11.130.8 1.00 1.00 2.80 27.446 0.022 203.6

Heff= θu

Page 55: Hinge Definition and Comparision

10 30.8 1.17 1.17 2.80 20.021 0.022 149.130.8 12.17 1.50 2.25 0.184 0.018 11.1

A 30.8 0.73 1.00 2.80 44.801 0.022 242.6B 30.8 0.62 1.00 2.80 70.387 0.022 326.0C 30.8 0.48 1.00 2.80 116.124 0.022 418.8D 30.8 0.45 1.00 2.80 137.083 0.022 455.0

11

30.8 2.41 1.50 2.47 4.677 0.020 56.030.8 2.80 1.50 1.85 3.476 0.015 48.330.8 12.17 1.50 1.66 0.184 0.013 11.130.8 1.99 1.50 2.43 6.910 0.019 68.1

Page 56: Hinge Definition and Comparision

DIEGO

Sliding (P)m KN m

0.010 2.07 0.0100.007 2.30 0.0070.007 0.12 0.0070.010 3.13 0.0100.011 16.32 0.0110.011 25.36 0.0110.011 40.96 0.0110.011 47.95 0.0110.011 7.48 0.0110.009 0.09 0.0090.009 0.09 0.0090.011 10.18 0.0110.011 0.66 0.0110.011 3.05 0.0110.009 0.09 0.0090.009 0.10 0.0090.011 20.60 0.0110.003 0.39 0.003

0.011 7.18 0.011 KN/m^2 30.8 μ=0.011 27.52 0.011 k= 0.550.011 3.21 0.011 KN/m^2 30000.011 1.85 0.011 KN/m tgϕ= 0.70.011 6.65 0.011 KN/m^2 Cu= 2000.009 4.85 0.0090.011 1.85 0.0110.011 0.07 0.0110.011 46.37 0.0110.010 7.44 0.0100.011 3.71 0.0110.011 27.52 0.0110.011 3.21 0.0110.011 1.85 0.0110.011 6.65 0.0110.009 4.85 0.0090.009 0.10 0.0090.011 20.60 0.0110.003 0.39 0.0030.011 0.66 0.0110.011 3.05 0.0110.009 0.09 0.0090.009 0.09 0.0090.011 10.18 0.011

δuf= δuf=

σ0=ϒm=

fd=

Page 57: Hinge Definition and Comparision

0.011 7.48 0.0110.009 0.09 0.0090.011 16.32 0.0110.011 25.36 0.0110.011 40.96 0.0110.011 47.95 0.0110.010 2.07 0.0100.007 2.30 0.0070.007 0.12 0.0070.010 3.13 0.010

Page 58: Hinge Definition and Comparision

0.251.5

Page 59: Hinge Definition and Comparision

No h (S) t(S) AXES Sliding (S)m m KN m

53 1.20 0.23 1 &11 55.2 0.004854 0.70 0.23 32.2 0.002855 0.57 0.20 2&10 22.8 0.002356 0.58 0.23 2´&9´ 26.68 0.002357 0.23 3 &9 0 0.000058 1.20 0.23

A 55.2 0.0048

59 0.70 0.23 32.2 0.002860 0.23 0 0.000061 0.52 0.23

B23.92 0.0021

62 0.23 0 0.000063 0.23 0 0.000064 0.70 0.23 C 32.2 0.002865 0.50 0.23

D23 0.0020

66 0.89 0.23 40.94 0.003667 0.24 0.23 11.04 0.0010

KN/m^2

KN/m^2

KN/m

KN/m^2

δuf=

Page 60: Hinge Definition and Comparision

30.8 μ= 0.25k= 0.55 1.5

3000tgϕ= 0.7Cu= 200

σ0=ϒm=

fd=

Page 61: Hinge Definition and Comparision

No D t(P) H density weigth Area h (S) t(S) Hom m m KN/m3 KN m2 m m m

1 1.16 0.23 2.8 11 8.22 0.27 0.70 0.23 2.412 1.00 0.23 2.8 11 7.08 0.23 0.70 0.23 1.603 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 1.604 1.41 0.23 2.8 11 9.99 0.32 0.70 0.23 2.345 3.85 0.20 2.8 11 23.72 0.77 1.20 0.20 2.806 4.50 0.23 2.8 11 31.88 1.04 1.20 0.23 2.87 5.78 0.23 2.8 11 40.95 1.33 1.20 0.23 2.88 6.28 0.23 2.8 11 44.49 1.44 1.20 0.23 2.89 2.40 0.23 2.8 11 17.00 0.55 1.20 0.23 2.80

10 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2311 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2312 2.81 0.23 2.8 11 19.91 0.65 1.20 0.23 2.813 0.70 0.23 2.8 11 4.96 0.16 1.20 0.23 2.8014 1.18 0.38 2.8 11 13.81 0.45 1.20 0.23 2.8015 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2816 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.1

17 4.04 0.23 2.8 11 28.62 0.93 1.20 0.23 2.8

18 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 0.5

19 2.35 0.23 2.8 11 16.65 0.54 1.20 0.23 2.8

20 5.05 0.20 2.8 11 31.11 1.01 1.20 0.20 2.8

21 1.56 0.23 2.8 11 11.05 0.36 1.20 0.23 2.8

22 1.18 0.23 2.8 11 8.36 0.27 1.20 0.23 2.8

23 2.26 0.23 2.8 11 16.01 0.52 1.20 0.23 2.824 1.60 0.23 2.8 11 11.33 0.37 1.20 0.23 1.9225 1.18 0.23 2.8 11 8.36 0.27 1.20 0.23 2.826 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.827 6.17 0.23 2.8 11 43.71 1.42 1.20 0.23 2.8028 2.15 0.23 2.8 11 15.23 0.49 1.20 0.23 2.2529 1.68 0.23 2.8 11 11.90 0.39 1.20 0.23 2.8030 5.05 0.20 2.8 11 31.11 1.01 1.20 0.20 2.831 1.56 0.23 2.8 11 11.05 0.36 1.20 0.23 2.832 1.18 0.23 2.8 11 8.36 0.27 1.20 0.23 2.833 2.26 0.23 2.8 11 16.01 0.52 1.20 0.23 2.834 1.60 0.23 2.8 11 11.33 0.37 1.20 0.23 1.9235 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.136 4.04 0.23 2.8 11 28.62 0.93 1.20 0.23 2.837 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 0.538 0.70 0.23 2.8 11 4.96 0.16 1.20 0.23 2.8039 1.18 0.38 2.8 11 13.81 0.45 1.20 0.23 2.8040 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2841 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.23

Page 62: Hinge Definition and Comparision

42 2.81 0.23 2.8 11 19.91 0.65 1.20 0.23 2.843 2.40 0.23 2.8 11 17.00 0.55 1.20 0.23 2.8044 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 2.2345 3.85 0.20 2.8 11 23.72 0.77 1.20 0.20 2.8046 4.50 0.23 2.8 11 31.88 1.04 1.20 0.23 2.847 5.78 0.23 2.8 11 40.95 1.33 1.20 0.23 2.848 6.28 0.23 2.8 11 44.49 1.44 1.20 0.23 2.849 1.16 0.23 2.8 11 8.22 0.27 0.70 0.23 2.4150 1.00 0.23 2.8 11 7.08 0.23 0.70 0.23 1.6051 0.23 0.23 2.8 11 1.63 0.05 0.70 0.23 1.6052 1.41 0.23 2.8 11 9.99 0.32 0.70 0.23 2.34

Page 63: Hinge Definition and Comparision

Bucchi

AXES σ0= ξ Rocking (P) Diagonal Cracking (P)KN/m2 m KN-m Rad KN

1

30.8 2.41 1.50 2.47 4.68 0.006 18.530.8 2.80 1.50 1.85 3.48 0.006 16.030.8 12.17 1.50 1.66 0.18 0.006 3.730.8 1.99 1.50 2.43 6.91 0.006 22.5

A 30.8 0.73 1.00 2.80 44.80 0.006 80.3B 30.8 0.62 1.00 2.80 70.39 0.006 107.9C 30.8 0.48 1.00 2.80 116.12 0.006 138.6D 30.8 0.45 1.00 2.80 137.08 0.006 150.6

2 30.8 1.17 1.17 2.80 20.02 0.006 49.330.8 12.17 1.50 2.25 0.18 0.006 3.7

2' 30.8 12.17 1.50 2.25 0.18 0.006 3.730.8 1.00 1.00 2.80 27.45 0.006 67.4

3 30.8 4.00 1.50 2.80 1.70 0.006 11.230.8 2.37 1.50 2.80 8.00 0.006 31.2

B 30.8 12.17 1.50 2.30 0.18 0.006 3.7C 30.8 12.17 1.50 2.13 0.18 0.006 3.7

4 30.8 0.69 1.00 2.80 56.73 0.006 96.9

D 30.8 12.17 1.50 0.85 0.18 0.006 3.7

A 30.8 1.19 1.19 2.80 19.20 0.006 47.3

5 30.8 0.55 1.00 2.80 77.08 0.006 105.3

B 30.8 1.79 1.50 2.80 8.46 0.006 24.9

B# 30.8 2.37 1.50 2.80 4.84 0.006 18.9

C 30.8 1.24 1.24 2.80 17.75 0.006 43.7D 30.8 1.75 1.50 2.16 8.90 0.006 25.6B# 30.8 2.37 1.50 2.80 4.84 0.006 18.9C 30.8 12.17 1.50 2.80 0.18 0.006 3.76 30.8 0.45 1.00 2.80 132.32 0.006 148.0D 30.8 1.30 1.30 2.43 16.07 0.006 39.6A 30.8 1.67 1.50 2.80 9.81 0.006 26.97 30.8 0.55 1.00 2.80 77.08 0.006 105.3B 30.8 1.79 1.50 2.80 8.46 0.006 24.9

B# 30.8 2.37 1.50 2.80 4.84 0.006 18.9C 30.8 1.24 1.24 2.80 17.75 0.006 43.7D 30.8 1.75 1.50 2.16 8.90 0.006 25.6C 30.8 12.17 1.50 2.13 0.18 0.006 3.78 30.8 0.69 1.00 2.80 56.73 0.006 96.9D 30.8 12.17 1.50 0.85 0.18 0.006 3.7

9 30.8 4.00 1.50 2.80 1.70 0.006 11.230.8 2.37 1.50 2.80 8.00 0.006 31.2

B 30.8 12.17 1.50 2.30 0.18 0.006 3.7

9' 30.8 12.17 1.50 2.25 0.18 0.006 3.7

Heff= θu

Page 64: Hinge Definition and Comparision

9'30.8 1.00 1.00 2.80 27.45 0.006 67.4

10 30.8 1.17 1.17 2.80 20.02 0.006 49.330.8 12.17 1.50 2.25 0.18 0.006 3.7

A 30.8 0.73 1.00 2.80 44.80 0.006 80.3B 30.8 0.62 1.00 2.80 70.39 0.006 107.9C 30.8 0.48 1.00 2.80 116.12 0.006 138.6D 30.8 0.45 1.00 2.80 137.08 0.006 150.6

11

30.8 2.41 1.50 2.47 4.68 0.006 18.530.8 2.80 1.50 1.85 3.48 0.006 16.030.8 12.17 1.50 1.66 0.18 0.006 3.730.8 1.99 1.50 2.43 6.91 0.006 22.5

Page 65: Hinge Definition and Comparision

Bucchi

Sliding (P)m KN m

0.010 26.7 0.0100.007 23.0 0.0070.007 5.3 0.0070.010 32.4 0.0100.011 77.0 0.0110.011 103.5 0.0110.011 132.9 0.0110.011 144.4 0.0110.011 55.2 0.0110.009 5.3 0.0090.009 5.3 0.0090.011 64.6 0.0110.011 16.1 0.0110.011 44.8 0.0110.009 5.3 0.0090.009 5.3 0.009

0.011 92.9 0.011

0.003 5.3 0.003

0.011 54.1 0.011

0.011 101.0 0.011

0.011 35.9 0.011

0.011 27.1 0.011

0.011 52.0 0.0110.009 36.8 0.0090.011 27.1 0.0110.011 5.3 0.0110.011 141.9 0.0110.010 49.5 0.0100.011 38.6 0.0110.011 101.0 0.0110.011 35.9 0.0110.011 27.1 0.0110.011 52.0 0.0110.009 36.8 0.0090.009 5.3 0.0090.011 92.9 0.0110.003 5.3 0.0030.011 16.1 0.0110.011 44.8 0.0110.009 5.3 0.0090.009 5.3 0.009

δuf= δuf=

Page 66: Hinge Definition and Comparision

0.011 64.6 0.0110.011 55.2 0.0110.009 5.3 0.0090.011 77.0 0.0110.011 103.5 0.0110.011 132.9 0.0110.011 144.4 0.0110.010 26.7 0.0100.007 23.0 0.0070.007 5.3 0.0070.010 32.4 0.010

Page 67: Hinge Definition and Comparision

KN/m^2 30.8 μ= 0.25k= 0.55 1.5

KN/m^2 3000KN/m^2 1660KN/m^2 90KN/m^2 100

σ0=ϒm=

fd=fhd=ftd=fvd=

Page 68: Hinge Definition and Comparision

No h (S) t(S) AXES Sliding (S) Hр Rocking (S)m m KN m KN KN rad

53 1.20 0.23 1 &11 27.6 0.0048 11.04 6.33 0.0654 0.70 0.23 16.1 0.0028 6.44 2.16 0.0655 0.57 0.20 2&10 11.4 0.0023 4.56 1.24 0.0656 0.58 0.23 2´&9´ 13.34 0.0023 5.336 1.48 0.0657 0.23 3 &9 0 0.0000 0 0.00 0.0658 1.20 0.23

A 27.6 0.0048 11.04 6.33 0.06

59 0.70 0.23 16.1 0.0028 6.44 2.16 0.0660 0.23 0 0.0000 0 0.00 0.0661 0.52 0.23

B11.96 0.0021 4.784 1.19 0.06

62 0.23 0 0.0000 0 0.00 0.0663 0.23 0 0.0000 0 0.00 0.0664 0.70 0.23 C 16.1 0.0028 6.44 2.16 0.0665 0.50 0.23

D11.5 0.0020 4.6 1.10 0.06

66 0.89 0.23 20.47 0.0036 8.188 3.48 0.0667 0.24 0.23 5.52 0.0010 2.208 0.25 0.06

δuf= θu

Page 69: Hinge Definition and Comparision

KN/m^2 30.8 μ= 0.25k= 0.55 1.5

KN/m^2 3000KN/m^2 1660KN/m^2 90KN/m^2 100

σ0=ϒm=

fd=fhd=ftd=fvd=

Page 70: Hinge Definition and Comparision
Page 71: Hinge Definition and Comparision

No D t(P) H desnsity weigth Area h (S)m m m KN/m3 KN m2 m

1 1.16 0.23 2.8 11 8.22 0.27 0.702 1.00 0.23 2.8 11 7.08 0.23 0.703 0.23 0.23 2.8 11 1.63 0.05 0.704 1.41 0.23 2.8 11 9.99 0.32 0.705 3.85 0.20 2.8 11 23.72 0.77 1.206 4.50 0.23 2.8 11 31.88 1.04 1.207 5.78 0.23 2.8 11 40.95 1.33 1.208 6.28 0.23 2.8 11 44.49 1.44 1.209 2.40 0.23 2.8 11 17.00 0.55 1.20

10 0.23 0.23 2.8 11 1.63 0.05 0.7011 0.23 0.23 2.8 11 1.63 0.05 0.7012 2.81 0.23 2.8 11 19.91 0.65 1.2013 0.70 0.23 2.8 11 4.96 0.16 1.2014 1.18 0.38 2.8 11 13.81 0.45 1.2015 0.23 0.23 2.8 11 1.63 0.05 0.7016 0.23 0.23 2.8 11 1.63 0.05 0.7017 4.04 0.23 2.8 11 28.62 0.93 1.2018 0.23 0.23 2.8 11 1.63 0.05 0.7019 2.35 0.23 2.8 11 16.65 0.54 1.2020 5.05 0.20 2.8 11 31.11 1.01 1.20

21 1.56 0.23 2.8 11 11.05 0.36 1.20

22 1.18 0.23 2.8 11 8.36 0.27 1.20

23 2.26 0.23 2.8 11 16.01 0.52 1.20

24 1.60 0.23 2.8 11 11.33 0.37 1.20

25 1.18 0.23 2.8 11 8.36 0.27 1.20

26 0.23 0.23 2.8 11 1.63 0.05 0.70

27 6.17 0.23 2.8 11 43.71 1.42 1.2028 2.15 0.23 2.8 11 15.23 0.49 1.2029 1.68 0.23 2.8 11 11.90 0.39 1.2030 5.05 0.20 2.8 11 31.11 1.01 1.2031 1.56 0.23 2.8 11 11.05 0.36 1.2032 1.18 0.23 2.8 11 8.36 0.27 1.2033 2.26 0.23 2.8 11 16.01 0.52 1.2034 1.60 0.23 2.8 11 11.33 0.37 1.2035 0.23 0.23 2.8 11 1.63 0.05 0.7036 4.04 0.23 2.8 11 28.62 0.93 1.2037 0.23 0.23 2.8 11 1.63 0.05 0.7038 0.70 0.23 2.8 11 4.96 0.16 1.20

Page 72: Hinge Definition and Comparision

39 1.18 0.38 2.8 11 13.81 0.45 1.2040 0.23 0.23 2.8 11 1.63 0.05 0.7041 0.23 0.23 2.8 11 1.63 0.05 0.7042 2.81 0.23 2.8 11 19.91 0.65 1.2043 2.40 0.23 2.8 11 17.00 0.55 1.2044 0.23 0.23 2.8 11 1.63 0.05 0.7045 3.85 0.20 2.8 11 23.72 0.77 1.2046 4.50 0.23 2.8 11 31.88 1.04 1.2047 5.78 0.23 2.8 11 40.95 1.33 1.2048 6.28 0.23 2.8 11 44.49 1.44 1.2049 1.16 0.23 2.8 11 8.22 0.27 0.7050 1.00 0.23 2.8 11 7.08 0.23 0.7051 0.23 0.23 2.8 11 1.63 0.05 0.7052 1.41 0.23 2.8 11 9.99 0.32 0.70

Page 73: Hinge Definition and Comparision

t(S) Ho AXES σ0= ξm m KN/m2 m

0.23 2.41 1 30.8 2.41 1.50 2.470.23 1.60 30.8 2.80 1.50 1.850.23 1.60 30.8 12.17 1.50 1.660.23 2.34 30.8 1.99 1.50 2.430.20 2.80 A 30.8 0.73 1.00 2.800.23 2.8 B 30.8 0.62 1.00 2.800.23 2.8 C 30.8 0.48 1.00 2.800.23 2.8 D 30.8 0.45 1.00 2.800.23 2.80 2 30.8 1.17 1.17 2.800.23 2.23 30.8 12.17 1.50 2.250.23 2.23 2' 30.8 12.17 1.50 2.250.23 2.8 30.8 1.00 1.00 2.800.23 2.80 3 30.8 4.00 1.50 2.800.23 2.80 30.8 2.37 1.50 2.800.23 2.28 B 30.8 12.17 1.50 2.300.23 2.1 C 30.8 12.17 1.50 2.130.23 2.8 4 30.8 0.69 1.00 2.800.23 0.5 D 30.8 12.17 1.50 0.850.23 2.8 A 30.8 1.19 1.19 2.800.20 2.8 5 30.8 0.55 1.00 2.80

0.23 2.8 B 30.8 1.79 1.50 2.80

0.23 2.8 B# 30.8 2.37 1.50 2.80

0.23 2.8 C 30.8 1.24 1.24 2.80

0.23 1.92 D 30.8 1.75 1.50 2.16

0.23 2.8 B# 30.8 2.37 1.50 2.80

0.23 2.8 C 30.8 12.17 1.50 2.80

0.23 2.80 6 30.8 0.45 1.00 2.800.23 2.25 D 30.8 1.30 1.30 2.430.23 2.80 A 30.8 1.67 1.50 2.800.20 2.8 7 30.8 0.55 1.00 2.800.23 2.8 B 30.8 1.79 1.50 2.800.23 2.8 B# 30.8 2.37 1.50 2.800.23 2.8 C 30.8 1.24 1.24 2.800.23 1.92 D 30.8 1.75 1.50 2.160.23 2.1 C 30.8 12.17 1.50 2.130.23 2.8 8 30.8 0.69 1.00 2.800.23 0.5 D 30.8 12.17 1.50 0.850.23 2.80 9 30.8 4.00 1.50 2.80

Heff=

Page 74: Hinge Definition and Comparision

0.23 2.80 30.8 2.37 1.50 2.800.23 2.28 B 30.8 12.17 1.50 2.300.23 2.23 9' 30.8 12.17 1.50 2.250.23 2.8 30.8 1.00 1.00 2.800.23 2.80 10 30.8 1.17 1.17 2.800.23 2.23 30.8 12.17 1.50 2.250.20 2.80 A 30.8 0.73 1.00 2.800.23 2.8 B 30.8 0.62 1.00 2.800.23 2.8 C 30.8 0.48 1.00 2.800.23 2.8 D 30.8 0.45 1.00 2.800.23 2.41 11 30.8 2.41 1.50 2.470.23 1.60 30.8 2.80 1.50 1.850.23 1.60 30.8 12.17 1.50 1.660.23 2.34 30.8 1.99 1.50 2.43

Page 75: Hinge Definition and Comparision

Lagomarsino

Rocking (P) Diagonal Cracking (P) Sliding (P)KN-m Rad KN m KN m

4.71 0.008 26.61 0.010 1.95 0.0993.50 0.008 22.94 0.007 2.15 0.0740.19 0.008 5.28 0.007 10.99 0.0666.96 0.008 32.35 0.010 2.93 0.097

45.10 0.008 115.20 0.011 14.78 0.11270.86 0.008 154.85 0.011 22.74 0.112

116.90 0.008 198.89 0.011 36.06 0.112138.00 0.008 216.10 0.011 41.94 0.11220.16 0.008 70.79 0.011 6.93 0.1120.19 0.008 5.28 0.009 0.09 0.0900.19 0.008 5.28 0.009 0.09 0.090

27.63 0.008 96.69 0.011 9.37 0.1121.71 0.008 16.06 0.011 0.63 0.1128.05 0.008 44.72 0.011 2.88 0.1120.19 0.008 5.28 0.009 0.08 0.0920.19 0.008 5.28 0.009 0.09 0.085

57.11 0.008 139.02 0.011 18.60 0.1120.19 0.008 5.28 0.003 0.37 0.034

19.32 0.008 67.87 0.011 6.65 0.11277.60 0.008 151.11 0.011 24.48 0.112

8.52 0.008 35.79 0.011 3.01 0.112

4.87 0.008 27.07 0.011 1.75 0.112

17.87 0.008 62.77 0.011 6.17 0.112

8.96 0.008 36.70 0.009 4.50 0.087

4.87 0.008 27.07 0.011 1.75 0.112

0.19 0.008 5.28 0.011 0.07 0.112

133.21 0.008 212.31 0.011 40.62 0.11216.18 0.008 56.81 0.010 6.85 0.0979.88 0.008 38.54 0.011 3.48 0.112

77.60 0.008 151.11 0.011 24.48 0.1128.52 0.008 35.79 0.011 3.01 0.1124.87 0.008 27.07 0.011 1.75 0.112

17.87 0.008 62.77 0.011 6.17 0.1128.96 0.008 36.70 0.009 4.50 0.0870.19 0.008 5.28 0.009 0.09 0.085

57.11 0.008 139.02 0.011 18.60 0.1120.19 0.008 5.28 0.003 0.37 0.0341.71 0.008 16.06 0.011 0.63 0.112

θu δuf= δuf=

Page 76: Hinge Definition and Comparision

8.05 0.008 44.72 0.011 2.88 0.1120.19 0.008 5.28 0.009 0.08 0.0920.19 0.008 5.28 0.009 0.09 0.090

27.63 0.008 96.69 0.011 9.37 0.11220.16 0.008 70.79 0.011 6.93 0.1120.19 0.008 5.28 0.009 0.09 0.090

45.10 0.008 115.20 0.011 14.78 0.11270.86 0.008 154.85 0.011 22.74 0.112

116.90 0.008 198.89 0.011 36.06 0.112138.00 0.008 216.10 0.011 41.94 0.112

4.71 0.008 26.61 0.010 1.95 0.0993.50 0.008 22.94 0.007 2.15 0.0740.19 0.008 5.28 0.007 0.12 0.0666.96 0.008 32.35 0.010 2.93 0.097

Page 77: Hinge Definition and Comparision

7.3534711781.96190611

KN/m^2 30.8 μ= 0.25k= 0.55 1.5

KN/m^2 3000KN/m^2 1660KN/m^2 τ0= 90KN/m^2 100KN/m^2 Cu= 200

σ0=ϒm=

fd=fhd=

fvd=

Page 78: Hinge Definition and Comparision
Page 79: Hinge Definition and Comparision

No h (S) t(S) Hp AXES Rocking (P)m m KN KN-m Rad

53 1.20 0.23 11.04 1 &11 6.33 0.008

54 0.70 0.23 6.44 2.16 0.008 55 0.57 0.20 4.56 2&10 1.24 0.008 56 0.58 0.23 5.34 2´&9´ 1.48 0.008 57 0.23 0.00 3 &9 - 0.008 58 1.20 0.23 11.04

A 6.33 0.008

59 0.70 0.23 6.44 2.16 0.008 60 0.23 0.00 - 0.008 61 0.52 0.23 4.78

B 1.19 0.008

62 0.23 0.00 - 0.008 63 0.23 0.00 - 0.008

64 0.70 0.23 6.44 C 2.16 0.008 65 0.50 0.23 4.60

D 1.10 0.008

66 0.89 0.23 8.19 3.48 0.008 67 0.24 0.23 2.21 0.25 0.008

θu

Page 80: Hinge Definition and Comparision

Sliding (S)KN m55.2 0.004832.2 0.002822.8 0.0023

26.68 0.00230.0000

55.2 0.004832.2 0.0028

0.000023.92 0.0021

0.00000.0000

32.2 0.002823 0.0020

40.94 0.003611.04 0.0010

KN/m^2 30.8k= 0.55

KN/m^2 3000KN/m^2 1660KN/m^2 τ0= 90KN/m^2 100KN/m^2 Cu= 200

δuf=

σ0=

fd=fhd=

fvd=

Page 81: Hinge Definition and Comparision

μ= 0.251.5ϒm=