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... 1   1.1 Introduction In the United States, seven-wire prestressing strands conforming to ASTM A416/AASHTO M203 (ASTM, 2015a) are used to pretension concrete bridge members.
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... 2 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders 1.2 Motivations for Using 0.7-In.
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... Background 3   increase clearances beneath the bridge. Once again, clearance is a major design issue in urban areas of many states or for bridges over waterways where the bridge limits the hydraulic opening.
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... 4 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders By comparing the results from the pretensioned and nonpretensioned strands, Cabage attempted to identify the contribution of radial expansion to bond capacity.
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... Background 5   In Girder A, vertical No. 3 hairpins spaced at 3 in.
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... 6 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders length could not be determined due to insufficient instrumentation.
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... Background 7   strands were, therefore, debonded to control initial cracking stresses; the maximum debonding ratio was 0.29. A total of twenty-four 0.7-in.
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... 8 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders that AASHTO Bridge Design Specifications Article 5.9.4.4.1 (AASHTO, 2020)
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... Background 9   were used. Nevertheless, the authors concluded that confinement steel could reduce this possibility.
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... 10 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders 4.
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... Background 11   1.5.2 Strand Spacing in U.S. Practice and the Transition from 0.5-In.
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... 12 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders (Unay et al., 1991)
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... Background 13   Eq. 1.1 can be rewritten as ( )
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... 14 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders 1.5.3.1 NCHRP Report 603 Ramirez and Russell (2008)
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... Background 15   This confinement must extend at least 1.5d into the span and consist of no less than No. 3 bars spaced at 6 in.
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... 16 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders with No.
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... Background 17   1.6 Overview of Bond Characteristics Like any bonded internal reinforcement, stress is transferred between concrete and prestressing strand by bond. Bond forces are developed by chemical adhesion, friction, and mechanical interlock between deformed bars and the surrounding concrete (Figure 1.4a)
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... 18 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders described by Machida and Durelli (1973)
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... Background 19   but varies as seen in Figure 1.5a and, therefore, the diameter of the tendon varies similarly. As the tendon stress is reduced (toward the free end of the member)
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... 20 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders fpz = axial stress in prestressing strand a distance z from the free end of the concrete embedment vc = Poisson's ratio of concrete Ec = Young's modulus of concrete fcz = axial stress in concrete a distance z from the free end: = 02 2f f r ccz pz Eq.1.7 c = radius of concrete cylinder; c = clear cover + r0 From the interface pressure, the radial (σr)
From page 21...
... Background 21   the geometry of an unstressed prestressing strand as one in which the helical wires are "slightly elliptical," resulting in a small clearance between the center wire and the helical wires if the diameters of all wires are the same. It is not clear from Machida and Durelli whether this geometry and the associated annular space apply to both stress-relieved and low-relaxation strand.
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... 22 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders considered in terms of the potential for rollover and the susceptibility to excessive deformations causing concrete stress limits to be exceeded.
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... Background 23   1.8.2 Hanging Girders The hanging girder condition corresponds to that in which a girder is supported (by a crane) from above by cables attached to the girder web or top flange.
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... 24 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders The factor of safety against failure, which must exceed 1.5, is calculated as: ( )
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... Background 25   The rotation angles θmax and θ′max are those given by Eq.
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... 26 Use of 0.7-in. Diameter Strands in Precast Pretensioned Girders the girder.

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