I was working on getting non dimensional pi-groups for a model and scaled down similitude of cantilevers.
For a cantilever :
I got a pi1 =Deflection "u"/length"l"
So i used u/l )model = u/l )similitude
I used simple example to prove this so a cantilever with 1 m length and 1mmx1mm square cross section of steel is used and deflection was calculated for 1 N at tip !
Scaled down Aluminium cantilever was used with 1/2 m length and 0.5x0.5 mm square cross section and I calculated its deflection under point load 1 N also at tip !
then I tried this relation : u/l model = u/l similitude assuming u of steel is unknown.
But I did not get deflection for steel same as calculated!
The error =8.7 %
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