Use the "Repeating
Variables Method" to solve the following problem of how the bottom of a plastic bucket flexes when
it is filled with fluid.
The bottom of a large, 5-gallon plastic bucket bows when the bucket is filled with water. The
deflection of the bottom surface, δ, is a function of the bucket diameter, D, the depth of water, h, the
specific weight of the water, γ, the thickness of the plastic bottom, d, and modulus of elasticity of the
plastic, E. Using dimensional analysis, find the relationship between the independent variables and
the deflection, δ.

Question

Use the "Repeating
Variables Method" to solve the following problem of how the bottom of a plastic bucket flexes when
it is filled with fluid.
The bottom of a large, 5-gallon plastic bucket bows when the bucket is filled with water. The
deflection of the bottom surface, δ, is a function of the bucket diameter, D, the depth of water, h, the
specific weight of the water, γ, the thickness of the plastic bottom, d, and modulus of elasticity of the
plastic, E. Using dimensional analysis, find the relationship between the independent variables and
the deflection, δ.