Abstract
Examples show the model testing can show quite important results. Partial modelling has to be resorted to when all the dimensional requirements cannot be met in the experimental design. Cases are described in detail where resort is made to full-scale comparison, where neglect of equality of a non-dimensional group is a valid approximation, where an analytical result can be incorporated, where partial extrapolation is valid, where there is a limitation to the effective range of variables and where model proportions can be distorted.
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The artificial case for which \( y_{0} \) is taken as zero gives the analytical result that \( P\ell^{2}/EI = \) constant. This solution then gives no relation between the load and the deflexion. It is an example of unrealistic initial assessment of the physics.
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Gibbings, J. (2011). Model Testing. In: Dimensional Analysis. Springer, London. https://doi.org/10.1007/978-1-84996-317-6_9
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