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Bursting and Spalling in Pretensioned U-Beams - Ferguson ...

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the re<strong>in</strong>forcement located with<strong>in</strong> the end h/8 of the member experienced significantstress” (p. 74).Based upon this observation, Tuan et al. designed a new end-region re<strong>in</strong>forc<strong>in</strong>gdetail that concentrated re<strong>in</strong>forcement near the beam end. Special transversere<strong>in</strong>forcement (threaded rod or deformed bars welded to top <strong>and</strong> bottom plates) designedto resist 2% of the applied prestress<strong>in</strong>g force was provided with<strong>in</strong> the end h/8 of themember. An equal amount of re<strong>in</strong>forcement was spread over the region between h/8 <strong>and</strong>h/2 from the beam end. In this way, the amount of transverse re<strong>in</strong>forcement required byAASHTO <strong>in</strong> the end h/4 was <strong>in</strong>stead spread over the end h/2.<strong>Beams</strong> re<strong>in</strong>forced with the proposed detail were reported to have smaller crackwidths <strong>and</strong> lengths than those us<strong>in</strong>g st<strong>and</strong>ard details. However, stresses were higher(mean maximum spall<strong>in</strong>g stress of 16 ksi compared to 11 ksi). Four beam end regions hadmaximum stresses that exceeded the AASHTO limit by as much as 30%; all were 43-<strong>in</strong>.I-beams (<strong>in</strong>strumented near the flange/web junction, as shown previously <strong>in</strong> Figure 2.35).IT-beams aga<strong>in</strong> experienced lower spall<strong>in</strong>g stresses than did I-beams.Tuan et al. used their stra<strong>in</strong> gage read<strong>in</strong>gs to calculate the total transverse-barforce at prestress transfer for each beam end region. As they note, the transverse-bar forceat transfer “is not limited to steel <strong>in</strong> the end h/4 of the member” (p. 77). Unfortunately,their <strong>in</strong>strumentation was, <strong>in</strong> the case of I-beam specimens, <strong>and</strong> so a substantial amountof extrapolation was sometimes required <strong>in</strong> the calculation of transverse-bar force attransfer (spall<strong>in</strong>g force).Though the accuracy of their reported total forces is called <strong>in</strong>to question becauseof this extrapolative procedure, some general observations are possible. <strong>Beams</strong> with0.6-<strong>in</strong>. str<strong>and</strong>s experienced higher spall<strong>in</strong>g forces (by 20%) compared to similar sectionsprestressed with 0.5-<strong>in</strong>. str<strong>and</strong>s. The spall<strong>in</strong>g force can be calculated with<strong>in</strong> the end h/456

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