The bottom of a large 5-gallon plastic bucket bows when the


The bottom of a large, 5-gallon plastic bucket bows when the bucket is filled with water. The deflection of the bottom surface, ?, is a function of the bucket diameter, D, the depth of water, h, the specific weight of the water, ?, 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, ?.

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Mechanical Engineering: The bottom of a large 5-gallon plastic bucket bows when the
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