Fitting a Hyperbolic Sine Curve to Creep Data

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Fitting a Hyperbolic Sine Curve to Creep Data
Max Shiffman
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1. Largo Stresses. In the first place, if s Is large (say bs > 2) the equation (1) can be approximrted by _ a bs ^ 2 e or (2) log r = log -g + b«iog O'S.
This is a strain-ht line on semi-logarithm paper, and the con- stants a, b can be determined by standard methods. While the assumption of large s is not alwrys correct, this happens to be the case in McVetty's Illustration, and in fig. 1 we have plotted the data on semi -log paper. The data fits a straight line closely; measuring the slope and
... intercept yields the vp. Lue J. 624 of a and b. The results r re b = -^^^r > ''^ - . 0021. Thus, we have quickly obtained r = . 0021 sinh ■— which fits the experimi^ntr. L points parti cul-. Rly closely. Even in this case I, the procedure here suggested might have advan- tages over ricVctty's.
II. Arbitrary Stresses. In the gcner'^1 case the experi- mentrl datr plotted on seni-logr ri thjn p^. Per will not fit a strr. Ight line closely but will desc^^nd more rapidly for smrller values of s.


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