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

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Early studies often exam<strong>in</strong>ed beams <strong>in</strong> which up to 50% of the prestress<strong>in</strong>g force wasconcentrated <strong>in</strong> the upper flange. <strong>Spall<strong>in</strong>g</strong> may be critical for such beams due to“multiple-anchor spall<strong>in</strong>g stresses” (shown previously <strong>in</strong> Figure 2.4), <strong>and</strong> as such, thebeams were primarily <strong>in</strong>strumented <strong>in</strong> the spall<strong>in</strong>g zone. Some later studies have copiedthis <strong>in</strong>strumentation approach uncritically, plac<strong>in</strong>g gages only <strong>in</strong> the spall<strong>in</strong>g zone forbeams <strong>in</strong> which burst<strong>in</strong>g may be critical (e.g. bulb tees with a large prestress<strong>in</strong>g forceapplied to the bottom flange). As such, the experimental database is more complete withregard to spall<strong>in</strong>g than burst<strong>in</strong>g behavior.2.4.2.1 Marshall & Mattock, 1962The first study of end-region re<strong>in</strong>forcement stra<strong>in</strong>s was completed by Marshall<strong>and</strong> Mattock at the PCA laboratory <strong>in</strong> 1962. The primary purpose of the study wasprescriptive rather than descriptive: to develop design criteria for the transversere<strong>in</strong>forcement <strong>in</strong> the end regions of pretensioned beams. To broaden the applicability ofthe f<strong>in</strong>d<strong>in</strong>gs, the 25 I-beams exam<strong>in</strong>ed for the study (Figure 2.28) had a number ofvariables, <strong>in</strong>clud<strong>in</strong>g• Size <strong>and</strong> pattern of the prestress<strong>in</strong>g str<strong>and</strong>;• Magnitude of prestress<strong>in</strong>g force;• Web thickness; <strong>and</strong>• Size of transverse re<strong>in</strong>forcement (#2 or #3 stirrups).Transverse re<strong>in</strong>forcement was provided with<strong>in</strong> h/3 of the beam end <strong>and</strong> was<strong>in</strong>strumented along the centroidal axis (just below mid-depth). In the case of beamsre<strong>in</strong>forced with #3 stirrups, the transverse re<strong>in</strong>forcement provided <strong>in</strong> the beam end regionwas approximately double that currently required by the AASHTO LRFD. For beamswith #2 stirrups, the re<strong>in</strong>forcement was 80 to 120% of that now required by AASHTO.43

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