ON THE EFFECTS OF CIRCULAR BOLT PATTERNS ON THE ...

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4.5.2 Beam-Column Connection .................................................................................. 56 4.5.2.1 Extended End-Plate Connection ........................................................... 57 4.5.2.2 Top-And-Seat Angle Connection ........................................................... 58 4.5.2.3 Bolted/Bolted Double Web Angle Connection ....................................... 60 4.5.2.4 Welded-bolted Double Web Angle Connection ..................................... 62 4.5.2.5 Flush End-Plate Connection ................................................................. 64 5. DEVELOPMENT OF HYSTERESIS MATHEMATICAL MODELS ................................................ 66 5.1 Introduction ....................................................................................................................... 66 5.2 Selection Of Test Cases ................................................................................................... 66 5.3 Finite Element Modeling ................................................................................................... 70 5.4 Hysteresis Characteristics ................................................................................................ 73 5.5 Finite Element Results ..................................................................................................... 77 5.6 Development Of Hysteresis Model Equation ................................................................... 91 5.6.1 Basis Of Hysteresis Development ...................................................................... 91 5.6.2 Basis Of Regression Analysis ............................................................................. 93 5.6.3 Equations Of Hysteresis Behavior ..................................................................... 96 6. DISCUSSION OF THE RESULTS .............................................................................................. 108 6.1 Introduction ..................................................................................................................... 108 6.2 Results And Discussions ................................................................................................ 109 6.3 Energy Dissipation ......................................................................................................... 111 6.4 Bolt Force Variation Under Monotonic Loading ............................................................. 116 6.5 Bolt-Force Variation Under Cyclic Loading .................................................................... 126 6.6 Effect Of The End-Plate Deformation ............................................................................. 133 7. SUMMARY, CONCLUSION, AND RECOMMENDATIONS ........................................................ 139 7.1 Summary ........................................................................................................................ 139 7.2 Conclusion: ..................................................................................................................... 140 7.3 Recommendations ......................................................................................................... 141 viii
APPENDIX ................................................................................................................................................ 143 A. APPLIED TORGUE VERSUS PRE-TENSIONING BOLT FORCE ............................................ 143 B. TEST MATRIX ............................................................................................................................ 145 C. HYSTERESIS OF THE MODELS WITH SQUARE BOLT PATTERN ........................................ 149 D. HYSTERESIS OF THE MODELS WITH CIRCULAR BOLT PATTERN ..................................... 183 E. COMPARISSON OF THE MODELS WITH CIRCULAR AND SQUARE BOLT PATTERN ........ 215 F. NON-LINIEAR REGRESSION ANALYSIS ................................................................................. 245 REFERENCES .......................................................................................................................................... 263 BIOGRAGHICAL INFORMATION ............................................................................................................. 270 ix
Page 1 and 2: ON THE EFFECTS OF CIRCULAR BOLT PAT
Page 3 and 4: ACKNOWLEDGMENTS I would like to exp
Page 5 and 6: elements during monotonic and cycli
Page 7: 3.2.3.1.2 Surface Preparation .....
Page 11 and 12: 3-15 Configuration Of Extended End-
Page 13 and 14: 5-10 Comparison Of The Predicted Vs
Page 15 and 16: 6-18 End-Plate Deformation Of (a) T
Page 17 and 18: 6-4 Energy Dissipation Percentage V
Page 19 and 20: (a) (b) (c) . Figure 1-1 Failure Mo
Page 21 and 22: noticeable. Among those, Asteneh-as
Page 23 and 24: phenomenon will decrease the bolt-f
Page 25 and 26: Douty and McGuire [3] (1965) conduc
Page 27 and 28: Tsai and Popov [33] performed three
Page 29 and 30: plate moment connection can be use
Page 31 and 32: during moderate earthquake excitati
Page 33 and 34: Gebbeken et al.[56] used the finite
Page 35 and 36: load overcomes the pretension force
Page 37 and 38: Figure 2-3 Tension Angle Free-Body
Page 39 and 40: CHAPTER 3 3. EXPERIMENTAL INVESTIGA
Page 41 and 42: compared with results collected fro
Page 43 and 44: Figure 3-5 Deformed Shape Of The T-
Page 45 and 46: head. Two varnished copper wires we
Page 47 and 48: Figure 3-8 Schematic Drawing Of The
Page 49 and 50: 3.2.4 Test Setup The 400K compressi
Page 51 and 52: The instrumented bolts were connect
Page 53 and 54: Figure 3-14 Applied Force Vs. Flang
Page 55 and 56: describing the configuration of the
Page 57 and 58: column flange by one row of ¾ in.
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prevent out-of-plane buckling of th
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Figure 3-20(c) shows the test instr
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Element Washer Bolt Line Number Tab
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modulus and the rate at which the h
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(a) (b) (c) Figure 4-3 Contacts In
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Bolt Force (kip) 0 2 4 (mm) 6 8 Fig
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It can be seen from the results pre
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a very early stage of loading with
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Moment (kip.ft) 300 200 100 0 -100
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Figure 4-17 Failure Of Bolts In The
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geometrical configuration of bolt h
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Figure 4-23 Failure Of The Angle Du
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CHAPTER 5 5. DEVELOPMENT OF HYSTERE
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The schematic comparison of the pro
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Bolt-4 Bolt-5 Bolt-3 End-Plate Bolt
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The analyses were conducted by appl
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Figure 5-5 Schematic Drawing Of The
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F G Figure 5-6 Tri-Linear Hysteresi
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simulate the hysteresis characteris
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Table 5-5 Continued 80
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Table 5-7 Summary Of The Results An
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Section 5-6-3-4 Figure 5-7 Section
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These techniques yield information
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2 A value of R 1 implies that S is
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(kip.ft) Figure 5-9 Comparison Of T
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M e . .t . .A . .S . (5-17) The p
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Figure 5-16 Comparison Of The Predi
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(ksi) Figure 5-19 Comparison Of The
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(ksi) Figure 5-22 Comparison Of The
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CHAPTER 6 6. DISCUSSION OF THE RESU
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Table 6-2 Energy Dissipation Percen
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espectively. While in similar model
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Moment (kip.ft) 900 450 0 ‐450
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Models Tp1½-Bd½-d30, Tp1-Bd½-d30
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a) Tp½-Bd1¼-d30-CIR 140 Bolt Forc
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a) Tp1½-Bd1¼-d30-CIR 140 Bolt For
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a) Tp1½-Bd½-d30-CIR 25 Bolt Force
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This phenomenon is attributed to th
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6.5 Bolt-Force Variation Under Cycl
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a) Tp1.0-Bd1¼-d30- 140 Bolt Force
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a) Tp½-Bd½-d30- 25 Bolt Force (ki
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a) Tp¾-Bd¾-d30- 60 Bolt Force (ki
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configurations of the finite elemen
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Circular Bolt Pattern Square Bolt P
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0.15 0.3 0.45 0.6 0.75 (a) (b) Figu
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initial stiffness of the connection
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parameters is recommended to study
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The relation between applied torque
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146 Table B-1 Test Matrix of the Co
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Table B-3Test Matrix of the Connect
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The hysteresis results obtained fro
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Moment (kip.ft) 1500 1000 500 0 -2%
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Moment (kip.ft) 1500 1000 500 0 ‐
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Moment (kip.ft) 1500 1000 500 0 ‐
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Moment (kip.ft) Figure C-22 Compari
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Moment (kip.ft) ‐2% ‐1% 0% 1% 2
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) 1000 750 500 250 0
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Moment (kip.ft) 2000 1500 1000 500
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Moment (kip.ft) 1500 1000 500 0 ‐
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The hysteresis results obtained fro
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Moment (kip.ft) 2000 1500 1000 500
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) Figure D-34 Compari
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Moment (kip.ft) 900 600 300 0 -2% -
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) ‐1.5% ‐1.0% ‐
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Moment (kip.ft) 1500 1000 500 0 ‐
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Moment (kip.ft) 1500 1000 500 0 ‐
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The simulated tri-linear hysteresis
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Moment (kip.ft) 1500 1000 500 0 -2%
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) 1500 1000 500 0 -2%
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) Figure E-34 Compari
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Moment (kip.ft) 900 600 300 0 -2% -
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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Moment (kip.ft) Figure E-58 Compari
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Moment (kip.ft) -2% -1% 0% 1% 2% -2
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Moment (kip.ft) -2% -1% 0% 1% 2% -6
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Moment (kip.ft) 2000 1500 1000 500
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Moment (kip.ft) -2% -1% 0% 1% 2% -5
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The statistical parameters used dur
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248
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250
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252
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254
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260
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[11] Morrison, S. J., Astaneh-Asl,
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[33] Tsai K. C., Popov E. P. (1990)
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[56] Gebbeken, N., Rothert, H., and
Page 287:
BIOGRAGHICAL INFORMATION Roozbeh Ki
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