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

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Figure 2.1 Severe crack<strong>in</strong>g <strong>in</strong> a pretensioned concrete beam end region(Marshall & Mattock, 1962)The fundamentals of some analytical methods are presented <strong>in</strong> this chapter fortheir historical <strong>in</strong>fluence; however, the focus of this literature review is on experimentalresearch. Despite million-fold advances <strong>in</strong> computational power s<strong>in</strong>ce the days of h<strong>and</strong>calculations, modern-day methods are not significantly more accurate when it comes topredict<strong>in</strong>g what matters most to bridge eng<strong>in</strong>eers: the location <strong>and</strong> extent of crack<strong>in</strong>g.The strength-side approach arose from the high degree of uncerta<strong>in</strong>ty apparenteven <strong>in</strong> state-of-the-art analyses. Gergely, Sozen <strong>and</strong> Siess (1963) saw the debatebetween approaches based upon “what starts a crack” (stress side) or “what stops a crack”(strength side) as trivial: only the latter approach could be translated <strong>in</strong>to <strong>in</strong>telligibledesign guidance. The prevail<strong>in</strong>g w<strong>in</strong>ds <strong>in</strong> the early 1960s blew toward “a morepragmatical treatment” of the problem:It has now been established that <strong>in</strong>stead of treat<strong>in</strong>g the problem as a stressconcentration problem <strong>in</strong> a homogeneous elastic body, it should be h<strong>and</strong>led as anequilibrium problem of free bodies produced by the formation of cracks. Thewidth <strong>and</strong> length of cracks became to be of concern. Therefore, the analytical <strong>and</strong>experimental methods are equally important. The question is not of distribution,7

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