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The deflection of the tip of an embedded cantilever beam is a function of the vertical load at the tip W, the length of the beam L, the second moment of area I (or moment of inertia), and the modulus of Young E. Perform a dimensional analysis of this problem relating the reflection to the other variables and parameters (use the MLT system). How many dimensionless numbers can be formed? Relate the dependencies between the dimensionless numbers obtained with the analytical equation for small deflections of a beam: = (1/3) * [(W * (L^3))/ E*I ].

Is it necessary to make modifications to the result obtained?