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CopyrightbyDavid Andrew Dunkman2009
- Page 3 and 4: Bursting and Spalling in Pretension
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- Page 7 and 8: 2.4.2.3 Itani & Galbraith, 1986 ...
- Page 9 and 10: 4.2.2.4 Beam 1: Lateral-Bar Burstin
- Page 11 and 12: List of TablesTable 2.1 Range of st
- Page 13 and 14: Figure 2.25 Mechanical gage points
- Page 15 and 16: Figure 3.30 Thermocouple placement
- Page 17: CHAPTER 1Introduction1.1 IMPETUS FO
- Page 20: At present, current end-region deta
- Page 23 and 24: Figure 2.1 Severe cracking in a pre
- Page 25 and 26: through use of tensioned, high-stre
- Page 27 and 28: As splitting stress is bond-related
- Page 29 and 30: Figure 2.6 Effect of bursting & spa
- Page 31 and 32: magnitude of the end-region transve
- Page 33 and 34: FEA can readily output color maps o
- Page 35 and 36: 2.3.1.3 Plastic Analysis of Beam En
- Page 38 and 39: force can increase by 400% (Yettram
- Page 40 and 41: 2.4 EXPERIMENTAL STUDIES OF BURSTIN
- Page 42 and 43: The trial specimens included one 40
- Page 44 and 45: mechanical gage (2 in. gage length)
- Page 46 and 47: Bursting stress(normalized by prest
- Page 48 and 49: proprietary post-tensioning anchors
- Page 50 and 51: Though Marshall and Mattock placed
- Page 52 and 53: ectangular beam” (p. 21). At high
- Page 56 and 57: The behavior of these beams was dom
- Page 58 and 59: 2.4.2 Studies of End-Region Transve
- Page 60 and 61: Figure 2.28 I-beams studied by Mars
- Page 62 and 63: transverse forces compared to those
- Page 64 and 65: (a) Actual spalling stress variatio
- Page 66 and 67: stirrups in Gergely, Sozen and Sies
- Page 68 and 69: 50% more reinforcement than require
- Page 70 and 71: strength concrete, increasingly hig
- Page 72 and 73: the reinforcement located within th
- Page 74 and 75: Typical crack patterns for the beam
- Page 76 and 77: “Very common”crack locationPred
- Page 78 and 79: Figure 2.38 Typical gage locations
- Page 80 and 81: 2.4.2.7 Smith et al., 2008Most rece
- Page 82 and 83: the provided transverse reinforceme
- Page 84 and 85: Itani and Galbraith (1986) reported
- Page 86 and 87: Figure 2.45 Confining reinforcement
- Page 88 and 89: cracks located along lines of prest
- Page 90 and 91: odies relevant to pretensioned conc
- Page 92 and 93: than that in another shape. For thi
- Page 94 and 95: Figure 2.47 Required splitting rein
- Page 96 and 97: No attempt was made in the Tentativ
- Page 98 and 99: No citation is provided in the PCI
- Page 100 and 101: Section Propertiesy b22.4 in.A 1120
- Page 102 and 103: minimum for greater skews. For beam
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treatment (counting the transverse
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Pretensioned/post-tensioned beams h
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Figure 2.57 Harped strands in webs
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transversereinforcementwithin voidp
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2.8 SUMMARYIn this chapter, literat
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3.2.1.1 Linear and Nonlinear Stress
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Empirical expressions can be used t
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where: 0.021 = spalling force,
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3.3 CONCRETE PROPERTIES3.3.1 Concre
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It was reasoned that the dimensiona
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Splitting tensile-strength testing
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For temperature-match curing, therm
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3.4.1 Reinforcing-Bar Mechanical Te
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Grade 60 rebar yielded at 65 ksi an
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Equation 3.10where:ε1,2 = gage str
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Figure 3.17 Typical strand failure
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SouthNorth North120NorthSouthFigure
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Beam 1 also included an additional
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Figure 3.22 Strand strain-gage inst
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Figure 3.25 Interface board used to
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eam has a “hot spot” (measureme
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3.6 BEAM FABRICATION3.6.1 Beam Cast
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Figure 3.33 Installing the interior
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In order to use a pretensioning bed
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standardside-formprofilespecialtape
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Figure 3.41 Strands installed, tens
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Correspondence between the values o
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Figures 3.45 to 3.50 show the fabri
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Figure 3.49 Casting end block (and
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Figure 3.52 Detensioning by gradual
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CHAPTER 4Results & Discussion4.1 OV
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The strain time history for each ga
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1DNorthSouth1E18 ksi1C1C,E1D1521B1B
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Figure 4.4 Beam 1 prestress losses
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crack adjacent to this location was
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The temperatures in the end blocks
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Table 4.4 Beam 2 applied prestressi
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Figure 4.10 Beam 2 prestress losses
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terms of force distribution seems t
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limits were only exceeded at locati
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spalling stresses were measured in
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transverse reinforcement contained
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Based on Figure 4.18, the 4% Pi des
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Uniform and linearly-decreasing tra
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4.3.5 Contributing Factors to High
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stress ratio multiplied by a typica
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Figure 4.25 Relation between total
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4.4.1 Recommended Texas U-Beam Rein
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Figure 4.28 Proposed end-region det
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At present, AASHTO LRFD (2009) lack
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CHAPTER 5Conclusions5.1 SUMMARY OF
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tested at transfer and under shear
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APPENDIX ADatabase of Transverse-Ba
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194Figure A.1 U-beam with skewed en
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196Figure A.3 Shallow Texas bulb te
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198Figure A.5 Lightweight-concrete
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200Figure A.7 Washington bulb tee (
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202Figure A.9 Nebraska bulb tees an
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204Figure A.11 Nebraska bulb tees a
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206Figure A.13 Shallow I-beams
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where:= lower-bound concrete tensil
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B.3.4 Transmission Length (Clause 6
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Equation B.11where:= bursting force
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50High Web gage4030Max Moment heigh
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C.2 CONCRETE RELEASE STRENGTHA bott
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Table C.1 Specimen Design for Beams
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Table D.1 Beam 1 match-cured cylind
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D.1.2 Beam 28Release-Point Cylinder
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Cylinder Strength (ksi)131197Ambien
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D.2 REINFORCING-BAR MODULUS & STREN
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APPENDIX EEnd-Block Temperature Pro
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E.2 BEAM 2T max = 142°F∆T = 30°
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REFERENCESREFERENCED STANDARDSAmeri
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Fédération Internationale du Bét
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Davis, R.T.; Buckner, C.D. & Ozyild
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Lin, T.Y. & Burns, N.H. (1981), Des
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Stone, W.C. & Breen, J.E. (1984),
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VITADavid Andrew Dunkman was born 2