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

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or #2 deformed bar. Due to the detail<strong>in</strong>g of this re<strong>in</strong>forcement, <strong>in</strong> addition to controll<strong>in</strong>ghorizontal crack<strong>in</strong>g, the stirrups served to conf<strong>in</strong>e the prestress<strong>in</strong>g force (Figure 2.32).Figure 2.32 Stirrups serv<strong>in</strong>g as both transverse & conf<strong>in</strong><strong>in</strong>g re<strong>in</strong>forcement(Gergely, Sozen & Siess, 1963)Stirrups were <strong>in</strong>strumented along one l<strong>in</strong>e, which represented the height of thecrack predicted by Gergely-Sozen analysis (previously described <strong>in</strong> Section 2.3.1). Asthis height was just below the centroid, spall<strong>in</strong>g behavior was measured.Stra<strong>in</strong>s <strong>in</strong> transverse re<strong>in</strong>forcement <strong>in</strong>creased with applied prestress. Interest<strong>in</strong>gly,Gergely, Sozen <strong>and</strong> Siess reported that the open<strong>in</strong>g of cracks had “no noticeable effect”on the forces carried by the transverse re<strong>in</strong>forcement (p. 29). This f<strong>in</strong>d<strong>in</strong>g either <strong>in</strong>dicatesthat re<strong>in</strong>forcement is much more effective at prevent<strong>in</strong>g crack<strong>in</strong>g than previously (ors<strong>in</strong>ce) supposed, or it confirms the f<strong>in</strong>d<strong>in</strong>g from the surface stra<strong>in</strong> section that f<strong>in</strong>e cracks(or microcracks) are very difficult to observe <strong>in</strong> the laboratory. The widest cracksobserved <strong>in</strong> the absence of stirrup yield<strong>in</strong>g were on the order of 0.003 <strong>in</strong>.<strong>Beams</strong> re<strong>in</strong>forced with two stirrups (rather than one) saw the total spall<strong>in</strong>g forcesplit relatively evenly over the stirrups, with each bar tak<strong>in</strong>g approximately 75% of thatseen <strong>in</strong> s<strong>in</strong>gle-stirrup beams. This uniform contribution from each transverse bar countersMarshall <strong>and</strong> Mattock’s observation (Section 2.4.2.1) that spall<strong>in</strong>g stresses decreasedl<strong>in</strong>early with distance from beam end face; however, it should be noted that all of the49

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