The period T of vibration of a beam is a function of its length L, area moment of inertia I, modulus of elasticity E, density , and Poissons ratio Rewrite this relation in dimensionless form What further reduction can we make if E and I can occur only in the product form EI ...

Establish the variables and their dimensions T fcn L I E P o T L L M ...

The period T of vibration of a beam is a function of its length L, area moment

Question:

The period T of vibration of a beam is a function of its length L, area moment of inertia I, modulus of elasticity E, density ρ, and Poisson’s ratio σ. Rewrite this relation in dimensionless form. What further reduction can we make if E and I can occur only in the product form EI?